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https://en.wikipedia.org/wiki/Lim%20Jung-ho | Lim Jung-ho (born April 16, 1990) is a South Korean professional baseball pitcher for the NC Dinos of the KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
Lim Jung-ho at NC Dinos Baseball Club
NC Dinos players
KBO League pitchers
South Korean baseball players
Sungkyunkwan University alumni
Baseball players from Seoul
1990 births
Living people |
https://en.wikipedia.org/wiki/Gradient%20discretisation%20method | In numerical mathematics, the gradient discretisation method (GDM) is a framework which contains classical and recent numerical schemes for diffusion problems of various kinds: linear or non-linear, steady-state or time-dependent. The schemes may be conforming or non-conforming, and may rely on very general polygonal or polyhedral meshes (or may even be meshless).
Some core properties are required to prove the convergence of a GDM. These core properties enable complete proofs of convergence of the GDM for elliptic and parabolic problems, linear or non-linear. For linear problems, stationary or transient, error estimates can be established based on three indicators specific to the GDM (the quantities , and , see below). For non-linear problems, the proofs are based on compactness techniques and do not require any non-physical strong regularity assumption on the solution or the model data. Non-linear models for which such convergence proof of the GDM have been carried out comprise: the Stefan problem which is modelling a melting material, two-phase flows in porous media, the Richards equation of underground water flow, the fully non-linear Leray—Lions equations.
Any scheme entering the GDM framework is then known to converge on all these problems. This applies in particular to conforming Finite Elements, Mixed Finite Elements, nonconforming Finite Elements, and, in the case of more recent schemes, the Discontinuous Galerkin method, Hybrid Mixed Mimetic method, the Nodal Mimetic Finite Difference method, some Discrete Duality Finite Volume schemes, and some Multi-Point Flux Approximation schemes
The example of a linear diffusion problem
Consider Poisson's equation in a bounded open domain , with homogeneous Dirichlet boundary condition
where . The usual sense of weak solution to this model is:
In a nutshell, the GDM for such a model consists in selecting a finite-dimensional space and two reconstruction operators (one for the functions, one for the gradients) and to substitute these discrete elements in lieu of the continuous elements in (2). More precisely, the GDM starts by defining a Gradient Discretization (GD), which is a triplet , where:
the set of discrete unknowns is a finite dimensional real vector space,
the function reconstruction is a linear mapping that reconstructs, from an element of , a function over ,
the gradient reconstruction is a linear mapping which reconstructs, from an element of , a "gradient" (vector-valued function) over . This gradient reconstruction must be chosen such that is a norm on .
The related Gradient Scheme for the approximation of (2) is given by: find such that
The GDM is then in this case a nonconforming method for the approximation of (2), which includes the nonconforming finite element method. Note that the reciprocal is not true, in the sense that the GDM framework includes methods such that the function cannot be computed from the function .
The following error estimate, inspired by |
https://en.wikipedia.org/wiki/Cathy%20Kessel | Cathy Kessel is a U.S. researcher in mathematics education and consultant, past-president of Association for Women in Mathematics, winner of the Association for Women in Mathematics Louise Hay Award, and a blogger on Mathematics and Education. She served as an editor for Illustrative Mathematics from the end of 2015 through July 15, 2017.
Biography
Kessel received her Ph.D. in mathematics from the University of Colorado Boulder, specializing in mathematical logic, and taught for three years after earning her Ph.D. She taught for a total of 13 years as a graduate and postgraduate until the 1990s when she made the switch to research in education. She began auditing courses and working on research projects at the School of Education at the University of California at Berkeley. This led to a career that included editing reports, books, articles, and curriculum and standards documents. She was the president of the Association for Women in Mathematics from 2007 to 2009 and worked as a mathematics education consultant through 2015 and again after she left Illustrative Mathematics in 2017.
Projects
Kessel has participated in multiple projects pertaining to mathematics education, including the following.
Editor and indexer, Liping Ma, Knowing and Teaching Elementary Mathematics, first edition, Lawrence Erlbaum Associates, 1999; anniversary edition, Routledge, 2010
Additional writer, Principles and Standards of School Mathematics, National Council of Teachers of Mathematics, 2000
Editor, Mathematical Education of Teachers, Conference Board of the Mathematical Sciences, 2001
Consultant, Research for Better Schools guide to TIMSS public release videos, 2005
Writer, Learning Across Boundaries: U.S.–Japan Collaboration in Mathematics, Science and Technology Education, 2007
Editor, Critical Issues in Mathematics Education workshop booklet, Teaching Teachers Mathematics: Research, Ideas, Projects, Evaluation, Mathematical Sciences Research Institute, 2009
Editor, Mathematical Education of Teachers II, Conference Board of the Mathematical Sciences, 2012
Writer, Mathematics Curriculum, Teacher Professionalism, and Supporting Policies in Korea and the United States: Summary of a Workshop, 2015, National Academy of Sciences
Articles, reports, and book chapters
Gender and education
M. Linn and C. Kessel. (2001). Test bias. In Judith Worrell (editor in chief), Encyclopedia of women and gender (pp. 1129–1140). Academic Press.
M. Linn and C. Kessel. (2002). Gender differences in cognition and educational performance. In Lynn Nadel (Ed.), Encyclopedia of cognitive science (pp. 261–267). New York: Macmillan.
M. Linn and C. Kessel. (2005). Gender and assessment. In Carol Goodheart & Judith Worell (Eds.), Handbook of girls’ and women’s psychological health: Gender and well-being across the life span. New York: Oxford University Press.
C. Kessel. (2006). Perceptions and research: Mathematics, gender, and the SAT. Focus, 26(9), 14–15.
C. Kessel. (2007). Op |
https://en.wikipedia.org/wiki/Sybilla%20Beckmann | Sybilla Beckmann is a Josiah Meigs Distinguished Teaching Professor of Mathematics, Emeritus, at the University of Georgia and a recipient of the Association for Women in Mathematics Louise Hay Award.
Biography
Sybilla Beckmann received her Sc.B. in Mathematics from Brown University in 1980 and her Ph.D. in Mathematics from the University of Pennsylvania under the supervision of David Harbater in 1986. She taught at Yale University as a J.W. Gibbs Instructor of Mathematics, before becoming a Josiah Meigs Distinguished Teaching Professor of Mathematics at the University of Georgia. She retired in 2020.
Beckmann's main interests include mathematical cognition, mathematical education of teachers, and mathematics content for pre-Kindergarten through Grade 8.
Publications
Beckmann's publications include the following.
Mathematics for Elementary Teachers: Making Sense by "Explaining Why", in Proceedings of the Second International Conference on the Teaching of Mathematics at the Undergraduate Level, J. Wiley & Sons, Inc., (2002).
What mathematicians should know about teaching math for elementary teachers. Mathematicians and Education Reform Newsletter, Spring 2004. Volume 16, number 2.
Solving Algebra and Other Story Problems with Simple Diagrams: a Method Demonstrated in Grade 4 – 6 Texts Used in Singapore, The Mathematics Educator, 14, (1), pp. 42 – 46 (2004).
With Karen Fuson. Focal Points: Grades 5 and 6. Teaching Children Mathematics. May 2008. Volume 14, issue 9, pages 508 – 517.
Focus in Grade 5, Teaching with Curriculum Focal Points. (2009). National Council of Teachers of Mathematics. This book elaborates on the Focal Points at grade 5, including discussions of the necessary foundations at grades 3 and 4.
Thomas J. Cooney, Sybilla Beckmann, and Gwendolyn M. Lloyd. (2010). Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9 – 12. National Council of Teachers of Mathematics.
Karen C. Fuson, Douglas Clements, and Sybilla Beckmann. (2010). Focus in Prekindergarten: Teaching with Curriculum Focal Points. National Council of Teachers of Mathematics.
Karen C. Fuson, Douglas Clements, and Sybilla Beckmann. (2010). Focus in Kindergarten: Teaching with Curriculum Focal Points. National Council of Teachers of Mathematics.
Karen C. Fuson, Douglas Clements, and Sybilla Beckmann. (2010). Focus in Grade 1: Teaching with Curriculum Focal Points. National Council of Teachers of Mathematics.
Karen C. Fuson, Douglas Clements, and Sybilla Beckmann. (2011). Focus in Grade 2: Teaching with Curriculum Focal Points. National Council of Teachers of Mathematics.
Fuson, K. C. & Beckmann, S. (Fall/Winter, 2012–2013). Standard algorithms in the Common Core State Standards. National Council of Supervisors of Mathematics Journal of Mathematics Education Leadership, 14 (2), 14–30.
Mathematics for Elementary Teachers with Activities, 4th edition, published by Pearson Education, copyright 2014, publication date January 2013.
|
https://en.wikipedia.org/wiki/Frobenius%20inner%20product | In mathematics, the Frobenius inner product is a binary operation that takes two matrices and returns a scalar. It is often denoted . The operation is a component-wise inner product of two matrices as though they are vectors, and satisfies the axioms for an inner product. The two matrices must have the same dimension - same number of rows and columns, but are not restricted to be square matrices.
Definition
Given two complex number-valued n×m matrices A and B, written explicitly as
the Frobenius inner product is defined as,
where the overline denotes the complex conjugate, and denotes Hermitian conjugate. Explicitly this sum is
The calculation is very similar to the dot product, which in turn is an example of an inner product.
Relation to other products
If A and B are each real-valued matrices, the Frobenius inner product is the sum of the entries of the Hadamard product. If the matrices are vectorised (i.e., converted into column vectors, denoted by ""), then
Therefore
Properties
It is a sesquilinear form, for four complex-valued matrices A, B, C, D, and two complex numbers a and b:
Also, exchanging the matrices amounts to complex conjugation:
For the same matrix,
,
and,
.
Frobenius norm
The inner product induces the Frobenius norm
Examples
Real-valued matrices
For two real-valued matrices, if
then
Complex-valued matrices
For two complex-valued matrices, if
then
while
The Frobenius inner products of A with itself, and B with itself, are respectively
See also
Hadamard product (matrices)
Hilbert–Schmidt inner product
Kronecker product
Matrix analysis
Matrix multiplication
Matrix norm
Tensor product of Hilbert spaces – the Frobenius inner product is the special case where the vector spaces are finite-dimensional real or complex vector spaces with the usual Euclidean inner product
References
Matrix theory
Bilinear maps
Multiplication
Numerical linear algebra |
https://en.wikipedia.org/wiki/Segregated%20Runge%E2%80%93Kutta%20methods | The Segregated Runge–Kutta (SRK) method is a family of IMplicit–EXplicit (IMEX) Runge–Kutta methods that were developed to approximate the solution of differential algebraic equations (DAE) of index 2.
The SRK method were motivated as a numerical method for the time integration of the incompressible Navier–Stokes equations with two salient properties. First, velocity and pressure computations are segregated. Second, the method keeps the same order of accuracy for both velocities and pressures. However, the SRK method can also be applied to any other DAE of index 2.
The Segregated Runge–Kutta method
Consider an index 2 DAE defined as follows:
where , , and
In the previous equations is known as the differential variable, while is known as the algebraic variable. The time derivative of the differential variable, , depends on itself, , on the algebraic variable, , and on the time, . The second equation can be seen as a constraint on differential variable, .
Let us take the time derivative of the second equation. Assuming that the function is linear and does not depend on time, and that the function is linear with respect to , we have that
A Runge–Kutta time integration scheme is defined as a multistage integration in which each stage is computed as a combination of the unknowns evaluated in other stages. Depending on the definition of the parameters, this combination can lead to an implicit scheme or an explicit scheme. Implicit and explicit schemes can be combined, leading to IMEX schemes.
Suppose that the function can be split into two operators and such that
where and are the terms to be treated implicitly and explicitly, respectively.
The SRK method is based on the use of IMEX Runge–Kutta schemes and can be defined by the following scheme:
Given a time step size , at a time ,
for each Runge-Kutta stage , with , solve:
1)
2) .
Update the variables at solving:
3)
4) .
References
Equations |
https://en.wikipedia.org/wiki/Asymptotic%20dimension | In metric geometry, asymptotic dimension of a metric space is a large-scale analog of Lebesgue covering dimension. The notion of asymptotic dimension was introduced by Mikhail Gromov in his 1993 monograph Asymptotic invariants of infinite groups in the context of geometric group theory, as a quasi-isometry invariant of finitely generated groups. As shown by Guoliang Yu, finitely generated groups of finite homotopy type with finite asymptotic dimension satisfy the Novikov conjecture. Asymptotic dimension has important applications in geometric analysis and index theory.
Formal definition
Let be a metric space and be an integer. We say that if for every there exists a uniformly bounded cover of such that every closed -ball in intersects at most subsets from . Here 'uniformly bounded' means that .
We then define the asymptotic dimension as the smallest integer such that , if at least one such exists, and define otherwise.
Also, one says that a family of metric spaces satisfies uniformly if for every and every there exists a cover of by sets of diameter at most (independent of ) such that every closed -ball in intersects at most subsets from .
Examples
If is a metric space of bounded diameter then .
.
.
.
Properties
If is a subspace of a metric space , then .
For any metric spaces and one has .
If then .
If is a coarse embedding (e.g. a quasi-isometric embedding), then .
If and are coarsely equivalent metric spaces (e.g. quasi-isometric metric spaces), then .
If is a real tree then .
Let be a Lipschitz map from a geodesic metric space to a metric space . Suppose that for every the set family satisfies the inequality uniformly. Then See
If is a metric space with then admits a coarse (uniform) embedding into a Hilbert space.
If is a metric space of bounded geometry with then admits a coarse embedding into a product of locally finite simplicial trees.
Asymptotic dimension in geometric group theory
Asymptotic dimension achieved particular prominence in geometric group theory after a 1998 paper of Guoliang Yu
, which proved that if is a finitely generated group of finite homotopy type (that is with a classifying space of the homotopy type of a finite CW-complex) such that , then satisfies the Novikov conjecture. As was subsequently shown, finitely generated groups with finite asymptotic dimension are topologically amenable, i.e. satisfy Guoliang Yu's Property A introduced in and equivalent to the exactness of the reduced C*-algebra of the group.
If is a word-hyperbolic group then .
If is relatively hyperbolic with respect to subgroups each of which has finite asymptotic dimension then .
.
If , where are finitely generated, then .
For Thompson's group F we have since contains subgroups isomorphic to for arbitrarily large .
If is the fundamental group of a finite graph of groups with underlying graph and finitely generated vertex groups, then
Mapping class groups of orienta |
https://en.wikipedia.org/wiki/Isabella%20Novik | Isabella Novik (born 1971) is a mathematician who works at the University of Washington as the Robert R. & Elaine F. Phelps Professor in Mathematics.
Her research concerns algebraic combinatorics and polyhedral combinatorics.
Novik earned her Ph.D. from the Hebrew University of Jerusalem in 1999, under the supervision of Gil Kalai. Her doctoral dissertation, Face Numbers of Polytopes and Manifolds, won the Haim Nessyahu Prize in Mathematics, awarded by the Israel Mathematical Union for the best annual doctoral dissertations in mathematics.
She was an Alfred P. Sloan Research Fellow for 2006–2008,
and was elected as a member of the 2017 class of Fellows of the American Mathematical Society "for contributions to algebraic and geometric combinatorics".
References
1971 births
Living people
20th-century American mathematicians
Israeli mathematicians
Women mathematicians
Einstein Institute of Mathematics alumni
University of Washington faculty
Sloan Research Fellows
Fellows of the American Mathematical Society
21st-century American mathematicians |
https://en.wikipedia.org/wiki/Faculty%20of%20Mathematical%20Sciences%2C%20Alzahra%20University |
About
In 1976, Mathematics Teacher Training was first offered at Alzahra University by the department of Mathematics in the Basic Sciences Faculty. After the Islamic Revolution, this area of study was further developed into Pure and Applied Mathematics as B.Sc. degrees. The department further offered MSc and PhD degrees respectively in 2000 and 2002. Ultimately the expansion of the programs offered by the Mathematics Department (e.g. Statistics and Computer Science programs), in 2014 the department of Mathematics separated from the Faculty of Basic Sciences and became a faculty in its own right.
Departments
Mathematics
Statistics
Computer science
Facilities
Classrooms equipped with hi-tech technology
Computer Lab
Digital and Physical library
Study room for postgraduate students
Programs
Currently, the programs offered by departments
in B.Sc. degree are in mathematics and applications, statistics and applications and Computer science,
in M.Sc. degree are pure mathematics, applied mathematics and statistics mathematics, and,
in PhD degree is in mathematics.
References
1976 establishments in Iran
Al-Zahra University |
https://en.wikipedia.org/wiki/Yajvapala%20dynasty | {
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The Yajvapala (IAST: Yajvapāla) dynasty ruled parts of central India during the 13th century CE. Their capital was located at Nalapura (present-day Narwar in Shivpuri district). They are also known as Jajapella or Jajpella. The Yajvapalas carved out a kingdom in northern Madhya Pradesh during the first half of the 13th century, and successfully resisted invasions by the Chandelas and the Delhi Sultanate over the ne |
https://en.wikipedia.org/wiki/Maharajas%20of%20Valkha | {
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The Maharajas of Valkha were part of a central Indian dynasty that ruled the historical Valkha region (the area around present-day Khargone district). They are known from several inscriptions dated to the years 38-134 of an unspecified calendar era. Based on the identification of this era with the Gupta era, they are believed to have ruled during 4th and 5th centuries CE. These rulers of Valkha were probably vassals of the Gupta emperors.
Territory
The core territory of the Valkha rulers was located along the Narmada river around present-day Khargone district (West Nimar), Madhya Pradesh. In 1982, a hoard of 27 inscriptions of the dynasty's rulers were found at Risawala adivasi settlement on the outskirts of the Bagh town in Dhar district. This suggests that the name "Bagh" is derived from "Valkha". The inscriptions of the dynasty have also been discovered at Indore and Shirpur (or Sirpur).
Date
The inscriptions of the Valkha rulers are dated to the years 38-134 of an unspecified calendar era. The rulers are titled Maharaja ("great king") and described as meditating at the feet of the Parama-bhattaraka ("supreme overlord"). Some historians, such as D. C. Sircar and R. C. Majumdar theorized that the Maharajas of Valkha were subordinates to the Gupta emperors, who were overlords of northern India. According to these scholars, the calendar era used in the Valkha inscriptions is the Gupta era, which starts from 319 CE.
On the other hand, V. V. Mirashi suggested that the calendar era used in the Valkha inscriptions is the Abhira era starting in 249 CE. He also identified the location of Valkha as Waghali in present-day Maharashtra.
History
Bhulunda, the name of the dynasty's earliest known ruler, appears to be a non-Sanskrit name. The later rulers of the dynasty have Sanskrit names, and the inscriptions don't mention the relationships between the different rulers. One theory is that Bhulunda was a tribal chieftain, who was appointed by emperor Samudragupta as the governor; the later feudal governors were of Indo-Aryan origin. Another theory is that the later four governors were descendants of Bhulunda, and adopted Sanskritized names.
All the inscriptions record land grants to Brahmanas, groups of Brahmins (called Chaturvaidya-Samooha) or temple deities. This has led to suggestions that the Gupta emperors attempted to Brahminize what were then tribal areas of |
https://en.wikipedia.org/wiki/Nigeria%20national%20football%20team%20records%20and%20statistics | The following is a list of the Nigeria national football team's competitive records and statistics.
Individual records
Player records
Players in bold are still active with Nigeria.
Most appearances
Top goalscorers
Manager records
Team records
Competition records
FIFA World Cup record
Notes
African Cup of Nations
*Denotes draws including knockout matches decided via a penalty shoot-out.
**Red border colour indicates tournament was held on home soil.
African Nations Championship
WAFU Nations Cup record
FIFA Confederations Cup
Olympic Games record
African Games
Football at the African Games has been an under-23 tournament since 1991.
Head-to-head record
The following table summarizes the all-time record for the Nigeria national football team. Nigeria has played matches against 92 current and former national teams, with the latest result, a loss against on 26 June 2018.
Win %- Number of wins divided by number of games played (ties count as half a win)
Defunct nations are listed in Italics (nations that changed names are listed under their most recent name; nations that have separated into two or more new nations are listed as defunct)
Table lists only full senior team competitions. Olympics, underage competition and African Nations Championship matches are excluded
Matches which are won after extra time with penalty kicks are listed as draws, per official FIFA designation.
References
External links
Nigeria National Football Team List of Results - RSSSF.com
Nigeria National Football Team List of Results - 11v11.com
History of Jalco Cup 1951-1959 - RSSF.com
History of Dr. Kwame Nkrumah Cup 1959-1967 - RSSF.com
History of Azikiwe Cup 1961-1967 - RSSF.com
Nigeria national football team
National association football team records and statistics |
https://en.wikipedia.org/wiki/Fully%20irreducible%20automorphism | In the mathematical subject geometric group theory, a fully irreducible automorphism of the free group Fn is an element of Out(Fn) which has no periodic conjugacy classes of proper free factors in Fn (where n > 1). Fully irreducible automorphisms are also referred to as "irreducible with irreducible powers" or "iwip" automorphisms. The notion of being fully irreducible provides a key Out(Fn) counterpart of the notion of a pseudo-Anosov element of the mapping class group of a finite type surface. Fully irreducibles play an important role in the study of structural properties of individual elements and of subgroups of Out(Fn).
Formal definition
Let where . Then is called fully irreducible if there do not exist an integer and a proper free factor of such that , where is the conjugacy class of in .
Here saying that is a proper free factor of means that and there exists a subgroup such that .
Also, is called fully irreducible if the outer automorphism class of is fully irreducible.
Two fully irreducibles are called independent if .
Relationship to irreducible automorphisms
The notion of being fully irreducible grew out of an older notion of an ``irreducible" outer automorphism of originally introduced in. An element , where , is called irreducible if there does not exist a free product decomposition
with , and with being proper free factors of , such that permutes the conjugacy classes .
Then is fully irreducible in the sense of the definition above if and only if for every is irreducible.
It is known that for any atoroidal (that is, without periodic conjugacy classes of nontrivial elements of ), being irreducible is equivalent to being fully irreducible. For non-atoroidal automorphisms, Bestvina and Handel produce an example of an irreducible but not fully irreducible element of , induced by a suitably chosen pseudo-Anosov homeomorphism of a surface with more than one boundary component.
Properties
If and then is fully irreducible if and only if is fully irreducible.
Every fully irreducible can be represented by an expanding irreducible train track map.
Every fully irreducible has exponential growth in given by a stretch factor . This stretch factor has the property that for every free basis of (and, more generally, for every point of the Culler–Vogtmann Outer space ) and for every one has:
Moreover, is equal to the Perron–Frobenius eigenvalue of the transition matrix of any train track representative of .
Unlike for stretch factors of pseudo-Anosov surface homeomorphisms, it can happen that for a fully irreducible one has and this behavior is believed to be generic. However, Handel and Mosher proved that for every there exists a finite constant such that for every fully irreducible
A fully irreducible is non-atoroidal, that is, has a periodic conjugacy class of a nontrivial element of , if and only if is induced by a pseudo-Anosov homeomorphism of a compact connected surface with one bou |
https://en.wikipedia.org/wiki/Lim%20Jung-woo%20%28baseball%29 | Lim Jung-woo (born April 2, 1991) is a South Korean professional baseball pitcher for the LG Twins of the KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
LG Twins players
KBO League pitchers
South Korean baseball players
SSG Landers players
Seoul High School alumni
People from Iksan
1987 births
Living people
Sportspeople from North Jeolla Province |
https://en.wikipedia.org/wiki/Daniel%20S%C3%A1ez%20%28motorcyclist%2C%20born%201996%29 | Daniel Sáez Gutiérrez (born 21 November 1996) is a Spanish motorcycle racer. He races in the RFME Superstock 600 Championship aboard a Yamaha YZF-R6.
Career statistics
FIM CEV Moto3 Junior World Championship
Races by year
(key) (Races in bold indicate pole position, races in italics indicate fastest lap)
FIM CEV Stock 600 Championship
Races by year
(key) (Races in bold indicate pole position) (Races in italics indicate fastest lap)
Grand Prix motorcycle racing
By season
Races by year
External links
Profile on British Superbike Championship website
1996 births
Living people
Spanish motorcycle racers
Moto3 World Championship riders |
https://en.wikipedia.org/wiki/Choi%20Keum-kang | Choi Keum-kang (born April 26, 1989) is a South Korean professional baseball pitcher for the NC Dinos of the KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
Choi Keum-kang at NC Dinos Baseball Club
NC Dinos players
KBO League pitchers
South Korean baseball players
Inha University alumni
Sportspeople from Incheon
1989 births
Living people |
https://en.wikipedia.org/wiki/Karen%20Hutchinson | Karen Elizabeth Hutchinson (born 1964) is a British Church of England priest. She served as the Archdeacon of Norwich between 2016 and 2022.
Hutchinson read Mathematics at Lady Margaret Hall, Oxford. She qualified as a solicitor in 1989.
She was ordained in 2002. After a curacy in Alton, she held incumbencies in the Diocese of Guildford, first as vicar of Crondall and Ewshot from 2006 to 2012, and then as vicar of The Bourne and Tilford from 2012 to 2016. She was appointed Diocesan Advisor on Women's Ministry in 2010, and in 2016 she was appointed Archdeacon of Norwich. On 4 April 2022, she became Lay Ministry Development Officer in the Diocese of Salisbury.
References
1964 births
Living people
20th-century English Anglican priests
21st-century English Anglican priests
Church of England priests
Archdeacons of Norwich
Alumni of Lady Margaret Hall, Oxford
Alumni of Wycliffe Hall, Oxford
Women Anglican clergy |
https://en.wikipedia.org/wiki/Ivan%20Lanni | Ivan Lanni (born 30 June 1990) is an Italian footballer who plays as a goalkeeper for club Siena.
Career
On 30 January 2020, he signed a 1.5-year contract with Novara.
Career statistics
Club
Honours
Club
Ascoli
Lega Pro: 2014–15
References
1990 births
Living people
People from Alatri
Italian men's footballers
Men's association football goalkeepers
Serie B players
Serie C players
Serie D players
AS Roma players
US Lecce players
US Grosseto 1912 players
Pisa SC players
Ascoli Calcio 1898 FC players
Novara FC players
ACR Siena 1904 players
Footballers from the Province of Frosinone |
https://en.wikipedia.org/wiki/Benjamin%20Stokke | Benjamin Stokke (born 20 August 1990) is a Norwegian football player currently playing as a striker for Kristiansund.
Career statistics
Club
References
1990 births
Living people
Footballers from Tønsberg
Norwegian men's footballers
FK Tønsberg players
Mjøndalen IF Fotball players
Sandefjord Fotball players
Levanger FK players
Kristiansund BK players
Randers FC players
Vålerenga Fotball players
Norwegian First Division players
Eliteserien players
Danish Superliga players
Expatriate men's footballers in Denmark
Norwegian expatriate men's footballers
Norwegian expatriate sportspeople in Denmark
Men's association football forwards |
https://en.wikipedia.org/wiki/Tom%20Erik%20Nordberg | Tom Erik Heir Nordberg (born 10 July 1985) is a retired Norwegian football player who played as a defender.
Career statistics
References
1985 births
Living people
Sportspeople from Levanger
Norwegian men's footballers
Rosenborg BK players
Ranheim Fotball players
Levanger FK players
FK Haugesund players
FK Bodø/Glimt players
Norwegian First Division players
Men's association football defenders
Footballers from Trøndelag |
https://en.wikipedia.org/wiki/Aperture%20Photometry%20Tool | Aperture Photometry Tool (APT) is software with a graphical user interface for computing aperture photometry on astronomical imagery. Image overlays, graphical representations, statistics, models, options and controls for aperture-photometry calculations are brought together into a single package. The software also can be utilized as a FITS-image viewer. APT is executed on desktop and laptop computers, and is free of charge under a license that limits its use to astronomical research and education. The software may be downloaded from its official website, and requires the Java Virtual Machine to be installed on the user's computer.
History
The initial version of APT was released on November 2, 2007. The latest version is APT v. 2.8.4, released on April 22, 2020. The software was developed by Dr. Russ Laher, a member of the professional staff at the Spitzer Science Center, part of the Infrared Processing and Analysis Center (IPAC) at the California Institute of Technology.
A paper on APT was published in July 2012 in the journal Publications of the Astronomy Society of the Pacific.
A companion paper compares the performance of APT vs. SExtractor, an established command-line software program for aperture photometry.
Aperture and Sky Annulus
Aperture geometry, size, and location in the image are important parameters in aperture photometry. APT allows circular and elliptical shapes for apertures and sky annuli (the latter are used for background estimation). The rotation can be controlled in the case of an ellipse.
The sky annulus will have the same shape as the aperture, but with larger inner and outer radii than the aperture.
Although there is no hard limitation on the size, it is practically limited by the software's response time in the calculation for a large aperture and sky annulus, and the tool for the user to interactively specify the size parameters includes a subimage that is only about 80 pixels on a side (at this time). The aperture is placed on the desired image location with a mouse click. Options to allow minor adjustments of the aperture position via centroiding are available. APT also has pixel-zapping functionality, which can be used to temporarily set the value of select pixels to NaN (not a number), effectively removing them from the aperture-photometry calculations.
Sky Coordinates
For aperture photometry on an astronomical image, it is often useful to know the sky coordinates of an image pixel. APT computes and displays sky coordinates if keywords that define a World Coordinate System (WCS) are present in the header of the FITS-image file. APT handles the commonly used tangent or gnomonic projection (TAN, TPV, and SIP subtypes), as well as the sine (a.k.a. orthographic), Cartesian, and Aitoff projections(the latter is probably only useful for display purposes).
Recent updates to APT include the ability to read FITS image files which use a Pixel Coordinate matrix (PCM), such as that used by the Panoramic Survey |
https://en.wikipedia.org/wiki/Antonio%20Pe%C3%B1afiel | Antonio Peñafiel Berruecos (1839–1922) was a Mexican doctor, scientist and scholar who participated in founding the National Institute of Statistics and Geography, and in studying Mexico's pre-Columbian history and in documenting Native American languages. Born in Atotonilco el Grande in Hidalgo, he entered medical school. From 1873 to 1875 he was a member of national congress representing the state of Hidalgo. From 1882 to 1910 he was director of the Dirección General de Estadísticas (DGE), the Mexican bureau of statistics. In 1895 he directed the first Mexican national census. He was also a founding member of the Mexican Society for Natural History. He published many of the ethnohistorical sources about Mexico's indigenous cultures, and also published his own studies of Mexican placenames. He also published an analysis of the potable water of the Basin of Mexico including chemical analyses. He was elected as a member of the American Philosophical Society in 1886.
References
1839 births
1922 deaths
Mexican Mesoamericanists
19th-century Mesoamericanists
Mexican scientists
Members of the American Philosophical Society |
https://en.wikipedia.org/wiki/KKMS | KKMS may refer to:
Knaster–Kuratowski–Mazurkiewicz lemma#The KKMS theorem, in mathematics and economics
KKMS (AM), a radio station (980 AM) licensed to serve Richfield, Minnesota, United States
The Kidd Kraddick Morning Show, an American syndicated morning radio show. |
https://en.wikipedia.org/wiki/Niall%20Finnegan | Niall Finnegan (born 1971) is an Irish retired Gaelic footballer. His league and championship career with the Galway senior team spanned ten seasons from 1991 until 2001.
Career statistics
Honours
Galway
All-Ireland Senior Football Championship (1): 1998
Connacht Senior Football Championship (3): 1995, 1998, 2000
References
1971 births
Living people
Alumni of the University of Galway
Galway inter-county Gaelic footballers
Irish solicitors
University of Galway Gaelic footballers
Salthill-Knocknacarra Gaelic footballers
St Sylvester's Gaelic footballers |
https://en.wikipedia.org/wiki/Square-difference-free%20set | In mathematics, a square-difference-free set is a set of natural numbers, no two of which differ by a square number. Hillel Furstenberg and András Sárközy proved in the late 1970s the Furstenberg–Sárközy theorem of additive number theory showing that, in a certain sense, these sets cannot be very large. In the game of subtract a square, the positions where the next player loses form a square-difference-free set. Another square-difference-free set is obtained by doubling the Moser–de Bruijn sequence.
The best known upper bound on the size of a square-difference-free set of numbers up to is only slightly sublinear, but the largest known sets of this form are significantly smaller, of size . Closing the gap between these upper and lower bounds remains an open problem. The sublinear size bounds on square-difference-free sets can be generalized to sets where certain other polynomials are forbidden as differences between pairs of elements.
Example
An example of a set with no square differences arises in the game of subtract a square, invented by Richard A. Epstein and first described in 1966 by Solomon W. Golomb. In this game, two players take turns removing coins from a pile of coins; the player who removes the last coin wins. In each turn, the player can only remove a nonzero square number of coins from the pile. Any position in this game can be described by an integer, its number of coins.
The non-negative integers can be partitioned into "cold" positions, in which the player who is about to move is losing, and "hot" positions, in which the player who is about to move can win by moving to a cold position. No two cold positions can differ by a square, because if they did then a player faced with the larger of the two positions could move to the smaller position and win. Thus, the cold positions form a set with no square difference:
These positions can be generated by a greedy algorithm in which the cold positions are generated in numerical order, at each step selecting the smallest number that does not have a square difference with any previously selected As Golomb observed, the cold positions are infinite, and more strongly the number of cold positions up to is at least proportional For, if there were fewer cold positions, there wouldn't be enough of them to supply a winning move to each hot position.
The Furstenberg–Sárközy theorem shows, however, that the cold positions are less frequent than hot positions: for every , and for all large the proportion of cold positions up to is That is, when faced with a starting position in the range from the first player can win from most of these positions.
Numerical evidence suggests that the actual number of cold positions is
Upper bounds
According to the Furstenberg–Sárközy theorem, if is a square-difference-free set, then the natural density of is zero. That is, for every , and for all sufficiently large , the fraction of the numbers up to that are in is less than . Equivalently, every set |
https://en.wikipedia.org/wiki/Amber%20Maximus | Amber Maximus (born 12 January 1997) is a Belgian footballer who plays as a forward for Belgian Women's Super League club Gent and the Belgium women's national football team.
International statistics
As of 20 October 2016
Honours
Gent
Belgian Super League; runner-up: 2017/18
Belgian Cup (2): 2016/17, 2018/19
Anderlecht
Belgian Super League (2): 2020/21, 2021/22
References
External links
1997 births
Living people
Belgian women's footballers
Belgium women's international footballers
Women's association football forwards
K.A.A. Gent (women) players
Super League Vrouwenvoetbal players
BeNe League players
RSC Anderlecht (women) players
Belgium women's youth international footballers |
https://en.wikipedia.org/wiki/Volume%20and%20displacement%20indicators%20for%20an%20architectural%20structure | The volume (W) and displacement (Δ) indicators have been discovered by Philippe Samyn in 1997 to help the search for the optimal geometry of architectural structures.
Objective
The study is limited to the quest of the geometry giving the structure of minimum volume.
The cost of a structure depends on the nature and the quantity of the materials used as well as the tools and human resources required for its production.
Although technological progress has reduced the cost of tools and the amount of human resources required, and despite the fact that computerised calculation tools can now be used to determine the dimension of a structure so that the load it bears at every point is within the admissible limits allowed by its constituent materials, it is also necessary for its geometry to be optimal. It is far from simple to find this optimal point because the choice available is so vast.
Furthermore, the resistance of the structure is not the only criterion to take into account. In many cases, it is also important to ensure that it will not undergo excessive deformation under static loads or that it does not vibrate to inconvenient or dangerous levels when subjected to dynamic loads.
Volume and displacement indicators, W and Δ, discovered by Philippe Samyn in August 1997, are useful tools in this regard. This approach does not take into account phenomena of elastic instability. It can indeed be shown that it is always possible to design a structure so that this effect becomes negligible.
The indicators
The objective is to ascertain the optimal morphology for a two-dimensional structure with constant thickness, which:
fits in a rectangle of pre-determined dimensions, longitudinal L and horizontal H, expressed in metres (m);
is made of one (or several) material(s) with a modulus of elasticity E, expressed in Pascals (Pa), and bearing a load at all points within its allowable stress(es) σ, expressed in Pascals (Pa);
is resistant to the maximum loads to which it is subjected, in the form of a "resultant" F, expressed in Newtons (N).
Each form chosen corresponds to a volume of material V (in m3) and a maximum deformation δ (in m).
Their calculation depends on the factors L, H, E, σ and F. These calculations are long and tedious, they cloud the objective of finding the optimal form.
It is, nevertheless, possible to overcome this problem by setting each factor to unity: while all other characteristics remain the same. Length L is therefore set to 1m, H to H/L, E and σ to 1Pa, and F to 1N.
This "reduced" structure has a volume of material W= σV/ FL (the volume indicator) and a maximum deformation Δ = Eδ / σL (the displacement indicator). Their main characteristic is that they are numbers without physical dimensions (dimensionless) and their value, for every morphology considered, depends only on the ratio L/H, i.e. the geometric slenderness ratio of the form.
This method can easily be applied to three-dimensional structures as illustrated in |
https://en.wikipedia.org/wiki/Convergence%20group | In mathematics, a convergence group or a discrete convergence group is a group acting by homeomorphisms on a compact metrizable space in a way that generalizes the properties of the action of Kleinian group by Möbius transformations on the ideal boundary of the hyperbolic 3-space .
The notion of a convergence group was introduced by Gehring and Martin (1987) and has since found wide applications in geometric topology, quasiconformal analysis, and geometric group theory.
Formal definition
Let be a group acting by homeomorphisms on a compact metrizable space . This action is called a convergence action or a discrete convergence action (and then is called a convergence group or a discrete convergence group for this action) if for every infinite distinct sequence of elements there exist a subsequence and points such that the maps converge uniformly on compact subsets to the constant map sending to . Here converging uniformly on compact subsets means that for every open neighborhood of in and every compact there exists an index such that for every . Note that the "poles" associated with the subsequence are not required to be distinct.
Reformulation in terms of the action on distinct triples
The above definition of convergence group admits a useful equivalent reformulation in terms of the action of on the "space of distinct triples" of .
For a set denote , where . The set is called the "space of distinct triples" for .
Then the following equivalence is known to hold:
Let be a group acting by homeomorphisms on a compact metrizable space with at least two points. Then this action is a discrete convergence action if and only if the induced action of on is properly discontinuous.
Examples
The action of a Kleinian group on by Möbius transformations is a convergence group action.
The action of a word-hyperbolic group by translations on its ideal boundary is a convergence group action.
The action of a relatively hyperbolic group by translations on its Bowditch boundary is a convergence group action.
Let be a proper geodesic Gromov-hyperbolic metric space and let be a group acting properly discontinuously by isometries on . Then the corresponding boundary action of on is a discrete convergence action (Lemma 2.11 of ).
Classification of elements in convergence groups
Let be a group acting by homeomorphisms on a compact metrizable space with at least three points, and let . Then it is known (Lemma 3.1 in or Lemma 6.2 in ) that exactly one of the following occurs:
(1) The element has finite order in ; in this case is called elliptic.
(2) The element has infinite order in and the fixed set is a single point; in this case is called parabolic.
(3) The element has infinite order in and the fixed set consists of two distinct points; in this case is called loxodromic.
Moreover, for every the elements and have the same type. Also in cases (2) and (3) (where ) and the group acts properly dis |
https://en.wikipedia.org/wiki/Moser%E2%80%93de%20Bruijn%20sequence | In number theory, the Moser–de Bruijn sequence is an integer sequence named after Leo Moser and Nicolaas Govert de Bruijn, consisting of the sums of distinct powers of 4. Equivalently, they are the numbers whose binary representations are nonzero only in even positions.
The Moser–de Bruijn numbers in this sequence grow in proportion to the square numbers. They are the squares for a modified form of arithmetic without carrying. The difference of two Moser–de Bruijn numbers, multiplied by two, is never square. Every natural number can be formed in a unique way as the sum of a Moser–de Bruijn number and twice a Moser–de Bruijn number. This representation as a sum defines a one-to-one correspondence between integers and pairs of integers, listed in order of their positions on a Z-order curve.
The Moser–de Bruijn sequence can be used to construct pairs of transcendental numbers that are multiplicative inverses of each other and both have simple decimal representations. A simple recurrence relation allows values of the Moser–de Bruijn sequence to be calculated from earlier values, and can be used to prove that the Moser–de Bruijn sequence is a 2-regular sequence.
Definition and examples
The numbers in the Moser–de Bruijn sequence are formed by adding distinct powers of four. The sequence lists these numbers in sorted order; it begins
For instance, 69 belongs to this sequence because it equals 64 + 4 + 1, a sum of three distinct powers of 4.
Another definition of the Moser–de Bruijn sequence is that it is the ordered sequence of numbers whose binary representation has nonzero digits only in the even positions. For instance, 69 belongs to the sequence, because its binary representation 10001012 has nonzero digits in the positions for 26, 22, and 20, all of which have even exponents. The numbers in the sequence can also be described as the numbers whose base-4 representation uses only the digits 0 or 1. For a number in this sequence, the base-4 representation can be found from the binary representation by skipping the binary digits in odd positions, which should all be zero. The hexadecimal representation of these numbers contains only the digits 0, 1, 4, 5. For instance, 69 = 10114 = 4516. Equivalently, they are the numbers whose binary and negabinary representations are equal. Because there are no two consecutive nonzeros in their binary representations, the Moser–de Bruijn sequence forms a subsequence of the fibbinary numbers.
Growth rate and differences
It follows from either the binary or base-4 definitions of these numbers that they grow roughly in proportion to the square numbers. The number of elements in the Moser–de Bruijn sequence that are below any given threshold is proportional to ,
a fact which is also true of the square numbers. In fact the numbers in the Moser–de Bruijn sequence are the squares for a version of arithmetic without carrying on binary numbers, in which the addition and multiplication of single bits are respectively t |
https://en.wikipedia.org/wiki/Ngaiming%20Mok | Ngaiming Mok (; born 1956) is a Hong Kong mathematician specializing in complex differential geometry and algebraic geometry. He is currently a professor at the University of Hong Kong.
After graduating from St. Paul's Co-educational College in Hong Kong in 1975, Mok studied at the University of Chicago and Yale University, obtaining his M.A. in Mathematics from Yale in 1978. He obtained his Ph.D. from Stanford University under the guidance of Yum-Tong Siu. He taught at Princeton University, Columbia University and the University of Paris-Saclay before joining the faculty of the University of Hong Kong in 1994. He has been the director of the University of Hong Kong's Institute of Mathematical Research since 1999.
The awards Mok has received include a Sloan Fellowship in 1984, the Presidential Young Investigator Award in Mathematics in 1985, and the Stefan Bergman Prize in 2009. Mok was an invited speaker at the 1994 International Congress of Mathematicians in Zurich and served on the Fields Medal committee at the 2010 ICM in Hyderabad. He was on the editorial board of Inventiones Mathematicae from 2002 to 2014, and he is currently an editor of Mathematische Annalen.
He was elected as Member of the Chinese Academy of Sciences (Division of Mathematics and Physics) in 2015, and a fellow of the American Mathematical Society in 2019.
Mok is a polyglot, able to speak Chinese (including Mandarin and Cantonese), English, French, German, Italian and more.
Notable publications
Ngaiming Mok. The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature. J. Differential Geom. 27 (1988), no. 2, 179–214.
Ngaiming Mok. Metric rigidity theorems on Hermitian locally symmetric manifolds. Series in Pure Mathematics, 6. World Scientific Publishing Co., Inc., Teaneck, NJ, 1989. xiv+278 pp. .
See also
Jun-Muk Hwang
References
1956 births
Living people
Academic staff of the University of Hong Kong
Hong Kong mathematicians
Stanford University alumni
University of Chicago alumni
Yale University alumni
Fellows of the American Mathematical Society
Members of the Chinese Academy of Sciences
Princeton University faculty
Columbia University faculty
Academic staff of Paris-Saclay University
Alumni of St. Paul's Co-educational College
Members of the Election Committee of Hong Kong, 2021–2026 |
https://en.wikipedia.org/wiki/Stefan%20Bergman%20Prize | The Stefan Bergman Prize is a mathematics award, funded by the estate of the widow of mathematician Stefan Bergman and supported by the American Mathematical Society. The award is granted for mathematical research in: "1) the theory of the kernel function and its applications in real and complex analysis; or 2) function-theoretic methods in the theory of partial differential equations of elliptic type with attention to Bergman's operator method."
The award is given in honor of Stefan Bergman, a mathematician known for his work on complex analysis. Recipients of the prize are selected by a committee of judges appointed by the American Mathematical Society. The monetary value of the prize is variable and based on the income from the prize fund; in 2005 the award was valued at approximately $17,000.
Laureates
1989 David W. Catlin
1991 Steven R. Bell, Ewa Ligocka
1992 Charles Fefferman
1993 Yum-Tong Siu
1994 John Erik Fornæss
1995 Harold P. Boas, Emil J. Straube
1997 David E. Barrett, Michael Christ
1999 John P. D'Angelo
2000 Masatake Kuranishi
2001 László Lempert, Sidney Webster
2003 M. Salah Baouendi, Linda Preiss Rothschild
2004 Joseph J. Kohn
2005 Elias Stein
2006 Kengo Hirachi
2007-08 Alexander Nagel, Stephen Wainger
2009 Ngaiming Mok, Duong H. Phong
2011 Gennadi Henkin
2012 David Jerison, John M. Lee
2013 Xiaojun Huang, Steve Zelditch
2014 Sławomir Kołodziej, Takeo Ohsawa
2015 Eric Bedford, Jean-Pierre Demailly
2016 Charles L. Epstein, François Trèves
2017 Bo Berndtsson, Nessim Sibony
2018 Johannes Sjöstrand
2019 Franc Forstnerič, Mei-Chi Shaw
2020 Aline Bonami, Peter Ebenfelt
See also
List of mathematics awards
References
Awards of the American Mathematical Society
Complex analysis
1989 establishments in the United States
Awards established in 1989 |
https://en.wikipedia.org/wiki/Lexing%20Ying | Lexing Ying is a professor of mathematics at Stanford University, where he is also a member of the Institute for Computational and Mathematical Engineering. He specializes in scientific computing and numerical analysis. In particular, his research concerns the design of numerical algorithms for problems in scientific computing.
Ying received his bachelor's degree in computer science and applied mathematics from Shanghai Jiaotong University in 1998. He received his Ph.D. from the Courant Institute at New York University in 2004, under the guidance of Denis Zorin. Before joining Stanford in 2012, he was a post-doc at California Institute of Technology and a professor at University of Texas, Austin.
The awards Ying has received include a Sloan Fellowship in 2007, an NSF Career Award in 2009, the James H. Wilkinson Prize in Numerical Analysis and Scientific Computing in 2013 (for "his outstanding contributions in many areas, including the rapid evaluation of oscillatory integral transforms, high frequency wave propagation and the computation of electron structure in metallic systems"), and a silver Morningside Medal in 2016. He is an invited speaker of International Congress of Mathematicians 2022.
References
Stanford University faculty
Chinese mathematicians
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Jun%20Li%20%28mathematician%29 | Jun Li () is a Chinese mathematician who is currently a Professor of Mathematics at Fudan University and Professor Emeritus of Mathematics at Stanford University. He focuses primarily on moduli problems in algebraic geometry and their applications to mathematical physics, geometry and topology.
Education
Li graduated from Shanghai Lu Xun High School in 1978. After finishing first in the national high school mathematics competition, he was exempt from the National College Entrance Examination and directly accepted by Fudan University. He earned his BS and MS in mathematics from Fudan in 1982 and 1984, respectively. He earned his Ph.D. from Harvard University in 1989, under the supervision of Shing-Tung Yau.
Awards
Li was an invited speaker at the 1994 ICM. He received a Morningside Gold Medal of Mathematics in 2001 "for his contributions to the study of moduli spaces of vector bundles and to the theory of stable maps and invariants of Calabi-Yau manifolds."
References
Living people
Fudan University alumni
Academic staff of Fudan University
Harvard Graduate School of Arts and Sciences alumni
Mathematicians from Shanghai
Stanford University faculty
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Zhouping%20Xin | Zhouping Xin (; born 13 July 1959) is a Chinese mathematician and the William M.W. Mong Professor of Mathematics at the Chinese University of Hong Kong. He specializes in partial differential equations.
Xin received his Ph.D. in mathematics from the University of Michigan, Ann Arbor in 1988, under the supervision of Joel Smoller. Before joining the faculty of the Chinese University of Hong Kong, he was a professor at the Courant Institute at New York University. He was a Sloan Research Fellow from 1991 to 1993 and an invited speaker at the 2002 International Congress of Mathematicians. He has also been affiliated with the Institute of Advanced Study at Princeton.
In 2004, Xin was awarded the Morningside Gold Medal of Mathematics for his work in nonlinear PDEs. Specifically, the award citation cites his proof of "the global existence of solutions of the Prandtl equations" and his "new mathematical framework for the study of transonic shockwave flow in a nozzle."
References
Living people
Mathematicians from Shaanxi
University of Michigan alumni
Courant Institute of Mathematical Sciences faculty
Academic staff of the Chinese University of Hong Kong
Sloan Research Fellows
1959 births
Educators from Shaanxi
Hong Kong mathematicians
People from Xi'an |
https://en.wikipedia.org/wiki/Costa%20Rica%20national%20football%20team%20results%20%282010%E2%80%932019%29 | Below are listed all the matches played by the Costa Rica national football team between 2010 and 2019.
Overview
By team
By confederation
2010
Statistics
2011
The year was marked by the inauguration of the new national stadium in San José in late March. Since then, the stadium has served as the home stadium of the team. To encourage the fans to go to the stadium, the Costa Rican Football Federation made a heavy investment by organizing friendlies against FIFA World Cup winners Argentina, Brazil and the then most recent champions Spain.
Tragedy also hit the national team during 2011, when defender Dennis Marshall (along with his wife) died in a car accident. Marshall died just five days after scoring his only international goal in a CONCACAF Gold Cup match against Honduras.
Overall, 2011 showed lackluster results for the national team. Failures to overcome Honduras at the Copa Centroamericana final and the Gold Cup quarter-finals, along with a poor performance at the Copa América prompted the dismissal of Ricardo La Volpe. After the departure of La Volpe, Rónald González served as interim manager for the team until the arrival of Jorge Luis Pinto in September.
Statistics
Coach(es)
General statistics
Goalscorers
7 goals
Marco Ureña
3 goals
Randall Brenes
Joel Campbell
2 goals
Álvaro Saborío
Rodney Wallace
1 goal
Celso Borges
José Miguel Cubero
Kenny Cunningham
Dennis Marshall
Josué Martínez
Heiner Mora
Víctor Núñez
Bryan Oviedo
2012
Statistics
Coach(es)
General statistics
Goalscorers
6 goals
Álvaro Saborío
4 goals
Joel Campbell
2 goals
Randall Brenes
1 goal
Christian Bolaños
Celso Borges
José Miguel Cubero
Cristian Gamboa
Giancarlo González
Álvaro Sánchez
Olman Vargas
1 own goal
Jonathan López
2013
The year marked a significant recovery in the team status within the Confederation, after several years of decay. In January, the team won the Copa Centroamericana after two consecutive failures in 2009 and 2011. In September, Costa Rica qualified to the 2014 FIFA World Cup after their absence in the 2010 edition. 2013 also marked the year with the most victories for the Costa Rica national team, with 13 victories.
On March 22, Costa Rica played against the United States at the Dick's Sporting Goods Park in Commerce City. The match, dubbed as the Snow Clásico in the United States, was played under a heavy snow fall. As the United States won the match with a goal by Clint Dempsey, Costa Ricans were enraged by the circumstances around the match. On September 6, the Ticos would defeat the United States in San José by 3–1, which was considered as a revenge.
On October 15, Costa Rica defeated Mexico in San José by 2–1, which marked the first victory over the Mexican team in over twelve years, the latest being the Aztecazo in June 2001. It was also the first victory Costa Rica had against Mexico in home soil for over twenty years.
Statistics
Coach(es)
General statistics
Goalscorers
5 goals
Celso Borges
4 goals
Jairo Arrieta
3 |
https://en.wikipedia.org/wiki/Peng%20Tsu%20Ann | Peng Tsu Ann (born 1936) is a Singaporean mathematician, and the first University of Singapore (now the National University of Singapore, Abbreviation: NUS) graduate to obtain a PhD in mathematics. Peng was the Head of the Department of Mathematics at NUS from 1982 to 1996 and oversaw its rapid growth during the period.
In mathematics, Peng's research interests are in group theory. He was a visiting member at the Institute for Advanced Study (IAS) in the spring of 1989.
The Peng Tsu Ann Assistant Professorship at the Department of Mathematics in NUS is named after him.
Biography
Peng obtained his BSc from the University of Singapore in 1962 and PhD from the University of London in 1965, under the direction of Karl W. Gruenberg. He received a British Commonwealth Scholarship in 1962 and a Fellowship in 1972 under the Commonwealth Scholarship and Fellowship Plan.
Peng served as president of the Singapore Mathematical Society from 1980 to 1982, and in 1987.
Peng played a major role in organizing the Singapore Group Theory Conference in 1987, where the invited speakers included Walter Feit, Graham Higman, Jean-Pierre Serre, Michio Suzuki, and John G. Thompson.
Peng retired from the Department of Mathematics at NUS in 1996.
References
Academic staff of the National University of Singapore
Peng Tsu Ann
Singaporean people of Chinese descent
1936 births
Living people
Group theorists
Alumni of the University of London |
https://en.wikipedia.org/wiki/Song%20Shin-young | Song Shin-young (born March 1, 1977) is a South Korean professional baseball pitcher for the Hanwha Eagles of the KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
Song Shin-young at Hanwha Eagles Baseball Club
Hanwha Eagles players
KBO League pitchers
South Korean baseball players
NC Dinos players
LG Twins players
Kiwoom Heroes players
Hyundai Unicorns players
Korea University alumni
Baseball players from Seoul
1977 births
Living people
Shin-young
South Korean Buddhists |
https://en.wikipedia.org/wiki/Rhombic%20hectotriadiohedron | In geometry, a rhombic hectotriadiohedron, rhombhectotriadiohedron or rhombic 132-hedron is a polyhedron composed of 132 rhombic faces. Rhombic faces have 5 positions within octahedral symmetry. There are two topological types, with the same number of elements, the same symmetry, but having a somewhat different arrangement of rhombic faces.
The type T has 8 rhombi meeting at the center positions of a cube's 6 faces. 3 meet at the 8 corners of a cube. 12 are positioned along the 12 edges of a cube, and 4 more surround each of 12 edges of a cube. It is a 12-zone zonohedrification of the rhombicuboctahedron.
Type C is a 12-zone zonohedrification of a truncated cube.
See also
Trigonal trapezohedron - 6 rhombi
Rhombic dodecahedron - 12 rhombi
Rhombic triacontahedron - 30 rhombi
Rhombic hexecontahedron - 60 rhombi
Rhombic enneacontahedron - 90 rhombi
References
George Hart
zono-12 from rhombicubocahedron VRML model
zono-12 from truncated cube VRML model
Rhombic Polyhedron with 132 Faces
rhombic 132-hedron within a cube
Zonohedra |
https://en.wikipedia.org/wiki/Sacramento%20Kings%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Sacramento Kings.
Individual records
Franchise leaders
Bold denotes still active with team.
Italic denotes still active but not with team.
Points scored (regular season)
(as of the end of the 2022–23 season)
Oscar Robertson (22,009)
Jack Twyman (15,840)
Mitch Richmond (12,070)
Tiny Archibald (10,894)
Sam Lacey (9,895)
DeMarcus Cousins (9,894)
Peja Stojakovic (9,498)
Jerry Lucas (9,107)
Eddie Johnson (9,027)
Scott Wedman (9,002)
Chris Webber (8,843)
Wayne Embry (8,486)
Mike Bibby (8,384)
Adrian Smith (8,085)
De'Aaron Fox (7,974)
Tom Van Arsdale (7,278)
Bobby Wanzer (6,924)
Wayman Tisdale (6,808)
Bob Davies (6,594)
Otis Birdsong (6,539)
Other statistics (regular season)
(as of April 9, 2023)
Individual awards
NBA MVP
Oscar Robertson – 1964
NBA Rookie of the Year
Maurice Stokes – 1956
Oscar Robertson – 1961
Jerry Lucas – 1964
Phil Ford – 1979
Tyreke Evans – 2010
NBA Sixth Man of the Year
Bobby Jackson – 2003
NBA Clutch Player of the Year
De'Aaron Fox – 2023
NBA Coach of the Year
Phil Johnson – 1975
Cotton Fitzsimmons – 1979
Mike Brown – 2023
NBA Executive of the Year
Joe Axelson – 1973
Geoff Petrie – 1999, 2001
Monte McNair - 2023
J. Walter Kennedy Citizenship Award
Vlade Divac – 2000
All-NBA First Team
Bob Davies – 1949, 1950, 1951, 1952
Oscar Robertson – 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969
Jerry Lucas – 1965, 1966, 1968
Nate Archibald – 1973, 1975, 1976
Chris Webber – 2001
All-NBA Second Team
Arnie Risen – 1949
Bobby Wanzer – 1952, 1953, 1954
Bob Davies – 1953
Maurice Stokes – 1956, 1957, 1958
Jack Twyman – 1960, 1962
Jerry Lucas – 1964, 1967
Oscar Robertson – 1970
Nate Archibald – 1972
Phil Ford – 1979
Otis Birdsong – 1981
Mitch Richmond – 1994, 1995, 1997
Chris Webber – 1999, 2002, 2003
Peja Stojaković – 2004
DeMarcus Cousins – 2015, 2016
All-NBA Third Team
Mitch Richmond – 1996, 1998
Chris Webber – 2000
De'Aaron Fox – 2023
Domantas Sabonis – 2023
NBA All-Defensive First Team
Doug Christie – 2003
Ron Artest – 2006
NBA All-Defensive Second Team
Norm Van Lier – 1971
Brian Taylor – 1977
Scott Wedman – 1980
Doug Christie – 2001, 2002, 2004
NBA All-Rookie First Team
Jerry Lucas – 1964
Ron Behagen – 1974
Scott Wedman – 1975
Phil Ford – 1979
Kenny Smith – 1988
Lionel Simmons – 1991
Brian Grant – 1995
Jason Williams – 1999
Tyreke Evans – 2010
DeMarcus Cousins – 2011
Buddy Hield – 2017
Marvin Bagley III – 2019
Tyrese Haliburton – 2021
Keegan Murray – 2023
NBA All-Rookie Second Team
Travis Mays – 1991
Walt Williams – 1993
Tyus Edney – 1996
Hedo Türkoğlu – 2001
Isaiah Thomas – 2012
Willie Cauley-Stein – 2016
Bogdan Bogdanović – 2018
NBA All-Star Weekend
NBA All-Star Game
Bob Davies – 1951, 1952, 1953, 1954
Arnie Risen – 1952, 1953, 1954, 1955
Bobby Wanzer – 1952, 1953, 1954, 1955, 1956
Jack Coleman – 1955
Maurice Stokes – 1956, 1957, 1958
Richie Regan – 1957
Jack Twyman – 1957, 1958, 1959, 1960, 1 |
https://en.wikipedia.org/wiki/Janusz%20Grabowski | Janusz Roman Grabowski (born April 30, 1955 in Stalowa Wola, Poland) Polish mathematician working in differential geometry and mathematical methods in classical and quantum physics.
Scientific career
Grabowski earned his MSc degree in mathematics in 1978 at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw. His master thesis was awarded the first degree Marcinkowski Prize of the Polish Mathematical Society. In the period of 1978-2001 he worked at the University of Warsaw earning his PhD in 1982 and habilitation in 1993. He was giving courses in Calculus I, II, III, Functional Analysis, Lie algebras and Lie groups, Differential Geometry, etc.
Since 2001 he works in the Institute of Mathematics Polish Academy of Sciences as a full professor and the Head of the Department of Mathematical Physics and Differential Geometry. He is also a member of the Scientific Council of the Institute.
In 1988 and 1989 he was a fellow of the Alexander von Humboldt Foundation. After political changes in Eastern Europe in 1989 he started an intensive international collaboration. He was visiting professor in many European scientific institutions, e.g., the Erwin Schroedinger Institute in Vienna, the University of Naples, the University of Luxembourg, and several Spanish universities and . He acted also as an expert, panel member, and for several years as the chair of the mathematical panel evaluating grants of the European Research Council. He supervised four PhD students.
Scientific activity
Professor Janusz Grabowski is an author of over 140 publications in top and very good international scientific journals with about 2000 citations indexed in the bases of the Web of Knowledge. Main results of his work include:
Important results concerning Lie algebras of vector fields on smooth manifolds;
A novel approach to double (and higher) vector bundles which drastically simplifies the theory;
Introducing the concepts of graded bundle and homogeneity structure with applications;
Defining the concept of general algebroid and the corresponding Lagrangian and Hamiltonian formalisms, including nonholonomic constraints;
Results in the theory of Lie systems of differential equations;
Vital achievements in the theory of Poisson and Jacobi structures;
Geometry of quantum systems;
Introducing the concept of - and proveing fundamental results about their structure;
Results in information geometry and applying geometric methods to studying the theory of quantum information and entanglement;
A novel approach to contact geometry with applications to analytical mechanics.
References
External links
Janusz Grabowski in MathSciNet database
Webpage of Janusz Grabowski
Janusz Grabowski in Polska Bibliografia Naukowa database
[4] Janusz Grabowski publications in arxiv database
1955 births
Living people
Polish mathematicians |
https://en.wikipedia.org/wiki/Gymnasium%20M%C3%BCnchen%20Nord | The Gymnasium München Nord is a gymnasium in the Munich city district Milbertshofen-Am Hart. It has languages, mathematics and science specialisms and trains a quarter of its students at a national level in a competitive Olympic sport. The school is located at the former US army Alabama Depot area.
Description
The school has a capacity of 100 teachers and 900 students. It was founded in 2016, built and operated following the principles of Rainer Schweppe. The school was seen as a group of year groups each having its own open plan multifunctional area, surrounded by the individual classrooms that those students would mainly use. Collapsing classes into larger didactic units was encouraged. It operated on a all-day use principle with student attending in the afternoon for additional reading time. Homework was done on site where teachers were available to assist. Students in the specialist stream may have a timetabled lesson then in one of their additional subjects.
The school operates as a Eliteschule des Sports. One out of four of the students is trained for national and international Sport Competitions. The school has a calisthenics park, a beach volleyball court and a 40 meter long boulder wall.
The school participates in "School without Racism - School with Courage". Patron is the Paralympic athlete Katharina Lang.
School trips
Architecture
The building is on a 30 ha site that was part of the US Army Alabama Depot and then the Alabama Halle next to BMW Research and Innovation Centre. THe site was landscaped by Hackl Hoffmann. The building was designed and built by the architects h4a Gessert + Randecker . The footprint of the building is 18.000 m², the useable area being 10.000 m².
It cost in all 65 millioneuro, and Freistaat Bayern contributed 8 million euro.
Public Art
As part of the German Kunst am Bau scheme the School hosts two artworks, Feuer & Flamme by the sculptor, from Bruno Wank, and Stefan Wischnewski's Auf die Plätze.
References
External links
Official Website (de)
Gymnasiums in Germany
Schools in Munich
Educational institutions established in 2016
Milbertshofen-Am Hart
2016 establishments in Germany |
https://en.wikipedia.org/wiki/Colin%20W.%20Clark | Colin Whitcomb Clark (born 1931) is a Professor Emeritus of Mathematics at The University of British Columbia. Clark specializes in behavioral ecology and the economics of natural resources, specifically, in the management of commercial fisheries. Clark was named a Fellow of the International Institute of Fisheries Economics & Trade (IIFET) in 2016 for his contributions to bioeconomics. Clark's impact upon fisheries economics through his scholarly work is encapsulated in Mathematical Bioeconomics: The Mathematics of Conservation, which is considered to be a classic contribution in environmental economic theory.
Honours and awards
1997 Elected Fellow of the Royal Society
Books
Math Overboard! (Basic Math for Adults): Part 2. 2013. Dog Ear Publishing.
Math Overboard! (Basic Math for Adults): Part 1. 2012. Dog Ear Publishing.
Mathematical Bioeconomics: The Mathematics of Conservation. 3rd Edition. 2010. Wiley Interscience (New York, NY).
The Worldwide Crisis in Fisheries: Economic Models and Human Behaviour. 2006. Cambridge University Press (Cambridge, UK; New York, NY).
Dynamic State Variable Models in Ecology: Methods and Applications (with Marc Mangel). 2000. Oxford University Press (Oxford, UK: New York, NY).
Dynamic Models in Behavioral Ecology (with Marc Mangel). 1988. Princeton University Press (Princeton, NJ).
Natural Resource Economics: Notes and Problems (with Jon Conrad). 1997. Cambridge University Press (Cambridge, UK: New York, NY).
References
1931 births
Living people
Academic staff of the University of British Columbia Faculty of Science
Behavioral ecology
Canadian ecologists
Canadian mathematicians
Mathematical ecologists
Fellows of the Royal Society |
https://en.wikipedia.org/wiki/2016%20AFF%20Championship%20statistics | These are the statistics for the 2016 AFF Championship.
Goalscorers
6 goals
Teerasil Dangda
3 goals
Boaz Solossa
Sarawut Masuk
Siroch Chatthong
2 goals
Chan Vathanaka
Hansamu Yama
Stefano Lilipaly
Mohd Amri Yahyah
Aung Thu
Zaw Min Tun
Lê Công Vinh
Nguyễn Văn Quyết
1 goal
Chrerng Polroth
Sos Suhana
Andik Vermansyah
Fachrudin Aryanto
Lerby Eliandry
Manahati Lestusen
Rizky Pora
Syazwan Zainon
David Htan
Misagh Bahadoran
Phil Younghusband
Khairul Amri
Chanathip Songkrasin
Peerapat Notchaiya
Theerathon Bunmathan
Nguyễn Trọng Hoàng
Vũ Minh Tuấn
Vũ Văn Thanh
1 own goal
Nub Tola (playing against Vietnam)
Assists
4 assists
Rizky Pora
3 assists
Theerathon Bunmathan
2 assist
Boaz Solossa
Nanda Kyaw
Sarach Yooyen
Nguyễn Trọng Hoàng
1 assist
Chan Vathanaka
Keo Sokpheng
Sok Sovan
Benny Wahyudi
Stefano Lilipaly
Ahmad Hazwan Bakri
Baddrol Bakhtiar
Safee Sali
Than Paing
Stephan Schröck
Safuwan Baharudin
Charyl Chappuis
Prakit Deeprom
Sarawut Masuk
Đinh Thanh Trung
Nguyễn Văn Toàn
Discipline
Yellow cards
2 yellow cards
Benny Wahyudi
Fachrudin Aryanto
Kurnia Meiga
Rudolof Basna
Baddrol Bakhtiar
David Htan
Quế Ngọc Hải
1 yellow card
Chhin Chhoeun
Nub Tola
Rous Samoeun
Soeuy Visal
Sos Suhana
Abduh Lestaluhu
Boaz Solossa
Evan Dimas
Hansamu Yama Pranata
Stefano Lilipaly
Hazwan Bakri
Mohd Amri Yahyah
Rizal Ghazali
Shahrom Kalam
Shahrul Saad
Zaquan Adha
Aung Thu
Hlaing Bo Bo
Kyaw Zin Lwin
Nanda Kyaw
Yan Aung Kyaw
Ye Ko Oo
Manuel Ott
Mark Hartmann
Mike Ott
OJ Porteria
Stephan Schröck
Anumanthan Kumar
Daniel Bennett
Faritz Hameed
Hassan Sunny
Khairul Amri
Safuwan Baharudin
Shakir Hamzah
Adison Promrak
Kroekrit Thaweekarn
Prakit Deeprom
Sarach Yooyen
Ngô Hoàng Thịnh
Nguyễn Trọng Hoàng
Vũ Minh Tuấn
Red cards
1 red card
Abduh Lestaluhu
Hafiz Abu Sujad
Trần Nguyên Mạnh
Trương Đình Luật
By team
By referee
Penalty shoot-outs
Awards
Man of the Match
Clean sheets
Overall results
External links
(Official website)
Statistics |
https://en.wikipedia.org/wiki/R.C.%20Mechelen%20in%20international%20competitions | R.C. Mechelen history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
1960s
1965–66 FIBA European Champions Cup, 1st–tier
The 1965–66 FIBA European Champions Cup was the 9th installment of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague), running from November 3, 1965 to April 1, 1966. The trophy was won by Simmenthal Milano, who defeated Slavia VŠ Praha by a result of 77–72 at Palazzo dello sport in Bologna, Italy. Overall, Racing Mechelen achieved in present competition a record of 7 wins against 3 defeats, in three successive rounds. More detailed:
First round
Tie played on November 12, 1965 and on November 16, 1965.
|}
Second round
Tie played on December 9, 1965 and on December 16, 1965.
|}
Quarterfinals
Day 1 (January 12, 1966) / Day 2 (January 21, 1966)
|}
Day 3 (February 10, 1966) / Day 4 (February 18, 1966)
|}
Day 5 (March 9, 1966) / Day 6 (March 17, 1966)
|}
Group A standings:
1966–67 FIBA European Champions Cup, 1st–tier
The 1966–67 FIBA European Champions Cup was the 10th installment of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague), running from November 6, 1966 to April 1, 1967. The trophy was won by Real Madrid, who defeated the title holder Simmenthal Milano by a result of 91–83 at their home venue Pabellón de la Ciudad Deportiva, in Madrid, Spain. Overall, Racing Mechelen achieved in present competition a record of 4 wins against 4 defeats, in two successive rounds. More detailed:
Second round
Tie played on December 8, 1966 and on December 15, 1966.
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Quarterfinals
Day 1 (January 11, 1967) / Day 2 (January 18, 1967)
|}
Day 3 (February 2, 1967) / Day 4 (February 8, 1967)
|}
Day 5 (February 23, 1967) / Day 6 (March 2, 1967)
|}
Group B standings:
1967–68 FIBA European Champions Cup, 1st–tier
The 1967–68 FIBA European Champions Cup was the 11th installment of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague), running from November 9, 1967 to April 11, 1968. The trophy was won by the title holder Real Madrid, who defeated Spartak ZJŠ Brno by a result of 98–95 at Palais des Sports in Lyon, France. Overall, Racing Bell Mechelen achieved in present competition a record of 4 wins against 4 defeats, in two successive rounds. More detailed:
Second round
Tie played on December 10, 1967 and on December 14, 1967.
|}
Quarterfinals
Day 1 (January 25, 1968) / Day 2 (February 1, 1968)
|}
*Racing Bell Mechelen was punished with a forfeit (2–0) in this game after they scored an own basket to tie the game 74–74, trying to go into a five minutes extra-time that could allow the Belgian team to overcome the -16 points difference from the first leg. However Maccabi Tel Aviv scored one more point before the end and the final score was 74–75 for the Israeli team. In a |
https://en.wikipedia.org/wiki/Limoges%20CSP%20in%20international%20competitions | Limoges CSP history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
1980s
1981–82 FIBA Korać Cup, 3rd–tier
The 1981–82 FIBA Korać Cup was the 11th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from October 7, 1981, to March 18, 1982. The trophy was won by Limoges CSP, who defeated Šibenka by a result of 90–84 at Palasport San Lazzaro in Padua, Italy. Overall, Limoges CSP achieved in present competition a record of 9 wins against 4 defeats, in five successive rounds. More detailed:
First round
Tie played on October 7, 1981, and on October 14, 1981.
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Second round
Tie played on November 4, 1981, and on November 11, 1981.
|}
Top 16
Day 1 (December 9, 1981)
|}
Day 2 (December 16, 1981)
|}
Day 3 (January 13, 1982)
|}
Day 4 (January 20, 1982)
|}
Day 5 (January 27, 1982)
|}
Day 6 (February 3, 1982)
|}
Group A standings:
Semifinals
Tie played on February 17, 1982, and on February 24, 1982.
|}
Final
March 18, 1982, at Palasport San Lazzaro in Padua, Italy.
|}
1982–83 FIBA Korać Cup, 3rd–tier
The 1982–83 FIBA Korać Cup was the 12th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from October 6, 1982, to March 8, 1983. The trophy was won by the title holder Limoges CSP, who defeated -for second consecutive time- Šibenka by a result of 94–86 at Deutschlandhalle in West Berlin, West Germany. Overall, Limoges CSP achieved in present competition a record of 7 wins against 2 defeats, in five successive rounds. More detailed:
First round
Bye
Second round
Bye
Top 16
Day 1 (December 8, 1982)
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Day 2 (December 15, 1982)
|}
Day 3 (January 12, 1983)
|}
Day 4 (January 19, 1983)
|}
Day 5 (January 26, 1983)
|}
Day 6 (February 2, 1983)
|}
Group A standings:
Semifinals
Tie played on February 16, 1983, and on February 23, 1983.
|}
Final
March 8, 1983, at Deutschlandhalle in West Berlin, West Germany.
|}
1983–84 FIBA European Champions Cup, 1st–tier
The 1980–81 FIBA European Champions Cup was the 27th installment of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague), running from September 15, 1983, to March 29, 1984. The trophy was won by Banco di Roma, who defeated FC Barcelona by a result of 79–73 at Patinoire des Vernets in Geneva, Switzerland. Overall, Limoges CSP achieved in the present competition a record of 5 wins against 9 defeats, in four successive rounds. More detailed:
First round
Bye
Second round
Tie played on September 29, 1983, and on October 6, 1983.
|}
Top 12
Tie played on October 27, 1983, and on November 3, 1983.
|}
Semifinals
Day 1 (December 8, 1983)
|}
Day 2 (December 15, 1983)
|}
Day 3 (January 11, 1984)
|}
Day 4 (January 18, 1984)
|}
Day 5 (January 25, 1984)
|}
*Two overtimes at the end of regulation (97–97 and 107–107).
Day 6 (February 2, |
https://en.wikipedia.org/wiki/Ryutaro%20Shibata | is a former Japanese football player. He last played for Matsumoto Yamaga FC.
Club statistics
Updated to 2 February 2018.
References
External links
Profile at Matsumoto Yamaga
1992 births
Living people
Takushoku University alumni
Association football people from Nagasaki Prefecture
Japanese men's footballers
J1 League players
J2 League players
Matsumoto Yamaga FC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Naoto%20Hiraishi | is a Japanese footballer. He plays for SC Sagamihara.
Career
Naoto Hiraishi joined J3 League club; FC Machida Zelvia in 2015. He moved to Fujieda MYFC in 2016.
Club statistics
Updated to 23 February 2019.
References
External links
Profile at Fujieda MYFC
1992 births
Living people
Toyo University alumni
Association football people from Kanagawa Prefecture
Japanese men's footballers
J3 League players
FC Machida Zelvia players
Fujieda MYFC players
Blaublitz Akita players
Men's association football midfielders
SC Sagamihara players
Ococias Kyoto AC players |
https://en.wikipedia.org/wiki/Argjend%20Mustafa | Argjend Mustafa (born 22 October 1993) is a Kosovar-Albanian footballer who plays for FC Llapi.
Club career
He had a half season abroad with Skënderbeu in the Albanian Superliga.
Career statistics
Club
References
External links
1993 births
Living people
People from Suva Reka
Men's association football midfielders
Kosovan men's footballers
KF Trepça players
KF Trepça '89 players
KF Skënderbeu Korçë players
FC Prishtina players
KF Llapi players
Football Superleague of Kosovo players
Kategoria Superiore players
Kosovan expatriate men's footballers
Expatriate men's footballers in Albania
Kosovan expatriate sportspeople in Albania |
https://en.wikipedia.org/wiki/Annales%20de%20Gergonne | The (from French: Annals of Pure and Applied Mathematics), commonly known as the (Annals of Gergonne), was a mathematical journal published in Nimes, France from 1810 to 1831 by Joseph Diez Gergonne. The annals were largely devoted to geometry, with additional articles on history, philosophy, and mathematics education showing interdisciplinarity.
"In the , Gergonne established in form and content a set of exceptionally high standards for mathematical journalism. New symbols and new terms to enrich mathematical literature are found here for the first time. The journal, which met with instant approval, became a model for many another editor. Cauchy, Poncelet, Brianchon, Steiner, Plücker, Crelle, Poisson, Ampere, Chasles, and Liouville sent articles for publication."
Operational calculus was developed in the journal in 1814 by Francois-Joseph Servois.
The reference to both pure mathematics and applied mathematics in the journal title inspired replications in later journals:
started in 1836 by Joseph Liouville
, commonly known as Crelle's Journal
The Quarterly Journal of Pure and Applied Mathematics, title adopted by Cambridge in 1855
Annali di Matematica Pura ed Applicata, the first Italian periodical, title adopted in 1858
Communications on Pure and Applied Mathematics, adopted 1959 at Courant Institute
Journal of Pure and Applied Algebra from 1971
References
External links
Archive Tome 1 to Tome 22 from NUMDAM (Numerisation de documents anciens mathematiques) at CNRS
Mathematics journals
French-language journals
Defunct journals
Publications established in 1810
Monthly journals
Publications disestablished in 1822 |
https://en.wikipedia.org/wiki/Three%20spheres%20inequality | In mathematics, the three spheres inequality bounds the norm of a harmonic function on a given sphere in terms of the norm of this function on two spheres, one with bigger radius and one with smaller radius.
Statement of the three spheres inequality
Let be an harmonic function on . Then for all one has
where for is the sphere of radius centred at the origin and where
Here we use the following normalisation for the norm:
References
Inequalities |
https://en.wikipedia.org/wiki/Borell%E2%80%93TIS%20inequality | In mathematics and probability, the Borell–TIS inequality is a result bounding the probability of a deviation of the uniform norm of a centered Gaussian stochastic process above its expected value. The result is named for Christer Borell and its independent discoverers Boris Tsirelson, Ildar Ibragimov, and Vladimir Sudakov. The inequality has been described as "the single most important tool in the study of Gaussian processes."
Statement
Let be a topological space, and let be a centered (i.e. mean zero) Gaussian process on , with
almost surely finite, and let
Then and are both finite, and, for each ,
Another related statement which is also known as the Borell-TIS inequality is that, under the same conditions as above,
,
and so by symmetry
.
See also
Gaussian isoperimetric inequality
References
Probabilistic inequalities |
https://en.wikipedia.org/wiki/Caspar%20Vopel | Caspar Vopel (1511–1561) was a German cartographer and instrument maker. Born in Medebach, he studied mathematics and medicine at the University of Cologne in 1526–1529. He taught mathematics at the Gymnasium of Cologne and in the early 1530s established a workshop to produce celestial and terrestrial globes, armillary spheres, sundials, quadrants and astrolabes. An exemplar of Vopel’s 1536 globe is held at Tenri University Library, Nara. In 1545 he began to prepare maps and atlases. His mappemonde of 1545 is titled NOVA ET INTEGRA VNIVERSALISQVE ORBIS TOTIVS IVXTA GERMANVM NEOTERICORVM TRADITIONEM DESCRIPTIO (A New Complete and Universal Description of the Whole World, according to the Modern German Tradition).
Vopel is sometimes credited with the promotion of the ancient asterism Coma Berenices to constellation status.
References
External links
German cartographers
1511 births
1561 deaths
People from Medebach |
https://en.wikipedia.org/wiki/M%C3%A1t%C3%A9%20T%C3%B3th%20%28footballer%2C%20born%201998%29 | Máté Tóth (born 20 June 1998) is a Hungarian football player who plays for Haladás.
Club career
In June 2021, Tóth returned to Haladás on a three-year deal.
Club statistics
Updated to games played as of 15 May 2021.
References
External links
MLSZ
HLSZ
1998 births
Footballers from Szombathely
Living people
Hungarian men's footballers
Hungary men's youth international footballers
Hungary men's under-21 international footballers
Men's association football defenders
Szombathelyi Haladás footballers
Mezőkövesdi SE footballers
Szeged-Csanád Grosics Akadémia footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players |
https://en.wikipedia.org/wiki/B%C3%A1lint%20Vogyicska | Bálint Vogyicska (born 27 February 1998) is a Hungarian football player who plays for Ajka.
Club career
On 16 February 2022, Bogyicska joined Ajka.
Club statistics
Updated to games played as of 15 May 2022.
References
External links
MLSZ
HLSZ
1998 births
Living people
People from Mohács
Hungarian men's footballers
Hungary men's youth international footballers
Men's association football defenders
MTK Budapest FC players
Vasas SC players
Nemzeti Bajnokság I players
Gyirmót FC Győr players
FC Ajka players
Nemzeti Bajnokság II players
Sportspeople from Baranya County |
https://en.wikipedia.org/wiki/Ronald%20Tak%C3%A1cs | Ronald Takács (born 26 January 1998) is a Hungarian professional footballer who plays as a midfielder for Gyirmót.
Club statistics
Updated to games played as of 15 May 2021.
References
External links
MLSZ
HLSZ
1998 births
Living people
Hungarian men's footballers
Hungary men's youth international footballers
Ukrainian men's footballers
Ukrainian people of Hungarian descent
Men's association football defenders
MTK Budapest FC players
FK Inter Bratislava players
Budafoki MTE footballers
Gyirmót FC Győr players
Nemzeti Bajnokság I players
2. Liga (Slovakia) players
Nemzeti Bajnokság II players
Hungarian expatriate men's footballers
Expatriate men's footballers in Slovakia
Hungarian expatriate sportspeople in Slovakia
Footballers from Zakarpattia Oblast |
https://en.wikipedia.org/wiki/Amalendu%20Krishna | Amalendu Krishna (born 2 August 1971) is an Indian mathematician in the Department of Mathematics, Indian Institute of Science (IISc), Bangalore, specializing in algebraic cycles and K-theory. He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology, India's highest prize for excellence in science, mathematics and technology, in the mathematical sciences category in the year 2016.
Career
Krishna was a recipient of the ICTP Ramanujan Prize in the year 2015. The ICTP Ramanujan Prize for Young Mathematicians from Developing Countries is awarded annually by the International Centre for Theoretical Physics, Trieste, Italy and named after Srinivasa Ramanujan jointly with the Department of Science and Technology (Government of India), and the International Mathematical Union. It was founded in 2004 and was first awarded in 2005. The Prize is awarded to a researcher less than 45 years of age, who has conducted outstanding research in a developing country. This is the second time it is being awarded to an Indian, with Sujatha Ramadorai having won it in 2006. According to website of the International Centre for Theoretical Physics: "The prize is in recognition of Krishna's outstanding contributions in the area of algebraic K-theory, algebraic cycles and the theory of motives. In his work, Krishna has shown an impressive command of a very technical subject, applying the modern theories of algebraic K-theory and Voevodsky’s theory of motives to study concrete problems. His results on 0-cycles on algebraic varieties with isolated singularities effectively reduces their study to the corresponding study on the desingularization, together with information about multiples of the exceptional divisors. This allows the complete calculation of the Chow group of 0-cycles on an algebraic variety in many cases, like the case of rational varieties or cones. Working initially with Levine, and later with Park, Krishna built up the original constructions of Bloch-Esnault on additive Chow groups into a full theory. This includes proving fundamental properties, such as the contravariant functoriality and a projective bundle formula, as well as constructing an action of the usual higher Chow groups on the additive ones."
Amalendu Krishna hails from Madhubani, Bihar, where he had his school education. He dropped out of IIT, Kanpur, after getting disillusioned by the job-oriented focus of engineering students there. He joined the Indian Statistical Institute in Kolkata. After completing post-graduate studies there in 1996, he joined TIFR to pursue PhD studies. He completed his PhD from TIFR under the supervision of Vasudevan Srinivas in 2001. During 2001 - 2004 he was Hedrick Assistant Professor in University of California, Los Angeles, and during 2004/05 he was at the Institute for Advanced Study in Princeton University.
In 2005 he returned to TIFR as a faculty. In 2020 he moved to the Indian Institute of Science a |
https://en.wikipedia.org/wiki/Vasishtha%20dynasty | {
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The Vasishtha (IAST: Vāsiṣṭha) dynasty was a Brahmin dynasty ruled in the Kalinga region of eastern India in the fifth century CE. Their territory included parts of the present-day northern Andhra Pradesh. They were one of the three minor dynasties that emerged after the decline of the Gupta power in the area, the other two being the Matharas and the Pitrbhaktas.
Genealogy
The Vasishtha king Anantavarman is known from his Siripuram and Srungavarapukota copper-plate inscriptions. These epigraphs describe him as a son of Maharaja Prabhanjanavarman, and a grandson of Maharaja Gunavarman.
Thus, three rulers of the dynasty are known:
Maharaja Gunavarman
Maharaja Prabhanjanavarman
Parameshvara Anantavarman
Territory
The Siripuram and Srungavarapukota inscriptions of Anantavarman were issued from Devapura and Pishtapura respectively. In Siripuram inscription, his grandfather Gunavarman is described as the lord of Devapura. The city was presumably the capital of a region called Devarashtra (within Kalinga), which Anantavarman inherited from his ancestors. Devarashtra is identified as the present-day Yelamanchili taluka.
According to the Allahabad Pillar inscription, the Gupta emperor Samudragupta defeated the kings of Devarashtra and Pishtapura during his southern invasion. It appears that Gunavarman became a sovereign of Devarashtra after the decline of the Gupta rule in the region.
Religion
Unlike the Vaishnavite Matharas, Anantavarman was a Shaivite. His inscriptions describe him as parama-maheshvara (devotee of Shiva).
Inscriptions
The following copper-plate inscriptions of the Vasishtha kings are known:
All the records are in Sanskrit language, written in a southern variety of the Brahmi script.
References
Bibliography
External links
Vasishtha inscriptions
Dynasties of India
Kalinga (India) |
https://en.wikipedia.org/wiki/Memphis%20Grizzlies%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Memphis Grizzlies.
Individual records
Franchise leaders
Bold denotes still active with team.
Italic denotes still active but not with team.
Points scored (regular season)
(as of the end of the 2022–23 season)
Mike Conley (11,733)
Marc Gasol (11,684)
Zach Randolph (9,261)
Pau Gasol (8,966)
Rudy Gay (8,562)
Shareef Abdur-Rahim (7,801)
Mike Miller (5,982)
Ja Morant (5,557)
Dillon Brooks (5,002)
Bryant Reeves (4,945)
O. J. Mayo (4,584)
Jaren Jackson Jr. (4,391)
Shane Battier (4,275)
Tony Allen (4,128)
Stromile Swift (3,829)
Jason Williams (3,400)
Desmond Bane (3,256)
Mike Bibby (3,153)
Lorenzen Wright (3,148)
Hakim Warrick (3,126)
Other statistics (regular season)
(as of the end of the 2022–23 season)
Individual awards
NBA Rookie of the Year
Pau Gasol - 2002
Ja Morant - 2020
NBA Coach of the Year
Hubie Brown – 2004
NBA Executive of the Year
Jerry West – 2004
Zach Kleiman – 2022
NBA Sixth Man of the Year
Mike Miller – 2006
NBA Defensive Player of the Year
Marc Gasol – 2013
Jaren Jackson Jr. – 2023
NBA Most Improved Player
Ja Morant - 2022
NBA Sportsmanship Award
Mike Conley – 2014, 2016, 2019
Twyman–Stokes Teammate of the Year
Vince Carter – 2016
Mike Conley – 2019
All-NBA First Team
Marc Gasol – 2015
All-NBA Second Team
Marc Gasol – 2013
Ja Morant – 2022
All-NBA Third Team
Zach Randolph – 2011
NBA All-Defensive First Team
Tony Allen – 2012, 2013, 2015
Jaren Jackson Jr. – 2022, 2023
NBA All-Defensive Second Team
Tony Allen – 2011, 2016, 2017
Marc Gasol – 2013
Mike Conley – 2013
Dillon Brooks – 2023
NBA All-Rookie First Team
Shareef Abdur-Rahim – 1997
Mike Bibby – 1999
Pau Gasol – 2002
Shane Battier – 2002
Drew Gooden – 2003
Rudy Gay – 2007
O. J. Mayo – 2009
Jaren Jackson Jr. – 2019
Brandon Clarke – 2020
Ja Morant – 2020
NBA All-Rookie Second Team
Bryant Reeves – 1996
Gordan Giriček – 2003
Juan Carlos Navarro – 2008
Marc Gasol – 2009
Desmond Bane – 2021
NBA All-Star Weekend
NBA All-Star selections
Pau Gasol – 2006
Zach Randolph – 2010, 2013
Marc Gasol – 2012, 2015*, 2017
Ja Morant – 2022*, 2023*
Jaren Jackson, Jr. – 2023
*All-Star Game Starter
Three-Point Contest
Contestants
Sam Mack – 1998
Mike Bibby – 2000
Wesley Person – 2003
Mike Miller – 2007
Desmond Bane – 2022
Slam Dunk Contest
Contestants
Stromile Swift – 2001
Skills Challenge
Contestants
Mike Conley, Jr. – 2019
Rising Stars Challenge (formerly the Rookie Challenge)
Bryant Reeves – 1996
Roy Rogers – 1997
Shareef Abdur-Rahim – 1997
Antonio Daniels – 1998
Michael Dickerson – 1999
Mike Bibby – 1999
Pau Gasol – 2002, 2003
Shane Battier – 2002
Drew Gooden – 2003
Rudy Gay – 2007, 2008
Mike Conley, Jr. – 2008
Juan Carlos Navarro – 2008
O.J. Mayo – 2009, 2010
Marc Gasol – 2009, 2010
Dillon Brooks – 2018
Jaren Jackson, Jr. – 2019, 2020
Ja Morant – 2020, 2021
Brandon Clarke – 2020, 2021
Desmond Bane – 2022
Kenneth |
https://en.wikipedia.org/wiki/Graded-symmetric%20algebra | In algebra, given a commutative ring R, the graded-symmetric algebra of a graded R-module M is the quotient of the tensor algebra of M by the ideal I generated by elements of the form:
when |x | is odd
for homogeneous elements x, y in M of degree |x |, |y |. By construction, a graded-symmetric algebra is graded-commutative; i.e., and is universal for this.
In spite of the name, the notion is a common generalization of a symmetric algebra and an exterior algebra: indeed, if V is a (non-graded) R-module, then the graded-symmetric algebra of V with trivial grading is the usual symmetric algebra of V. Similarly, the graded-symmetric algebra of the graded module with V in degree one and zero elsewhere is the exterior algebra of V.
References
David Eisenbud, Commutative Algebra. With a view toward algebraic geometry, Graduate Texts in Mathematics, vol 150, Springer-Verlag, New York, 1995.
External links
Ring theory |
https://en.wikipedia.org/wiki/Graded-commutative%20ring | In algebra, a graded-commutative ring (also called a skew-commutative ring) is a graded ring that is commutative in the graded sense; that is, homogeneous elements x, y satisfy
where |x | and |y | denote the degrees of x and y.
A commutative (non-graded) ring, with trivial grading, is a basic example. For example, an exterior algebra is generally not a commutative ring but is a graded-commutative ring.
A cup product on cohomology satisfies the skew-commutative relation; hence, a cohomology ring is graded-commutative. In fact, many examples of graded-commutative rings come from algebraic topology and homological algebra.
References
David Eisenbud, Commutative Algebra. With a view toward algebraic geometry, Graduate Texts in Mathematics, vol 150, Springer-Verlag, New York, 1995.
See also
DG algebra
graded-symmetric algebra
alternating algebra
supercommutative algebra
Abstract algebra |
https://en.wikipedia.org/wiki/List%20of%20Bangladesh%20Premier%20League%20records%20and%20statistics | This is an overall list of statistics and records in the Bangladesh Premier League, a Twenty20 cricket franchise based tournament which is held annually in Bangladesh.
Team records
Overall Team performance
Records include all matches played under the name of a franchise, even where the franchise has been suspended and re-created as a new organisation.
Note:
Tie&W and Tie&L indicates matches tied and then won or lost by "Super Over"
The win percentage excludes no results.
Overall team standings
Highest total overall
Lowest total overall
Highest successful run chases
Largest victories
Largest Victories (by runs)
Largest Victories (by wickets)
Smallest victories
Smallest victories (by runs)
Smallest Victories (by wickets)
Batting records
Most runs
Most runs in a season
Highest individual score
Most sixes
Most sixes in an innings
Best strike rates
Partnership records
Highest partnership by wickets
Highest partnership by runs
Bowling records
Most wickets
Most wickets in a season
Best bowling figures in an innings
Best economy rate
Best average
Best strike rate
Most runs conceded in an innings
Hat-tricks
Wicket-keeping records
Most dismissals
Most dismissals in a season
Most dismissals in an innings
Fielding records
Most catches
Most catches in a season
Most catches in an innings
Miscellaneous records
Awards
Orange cap
Note: Orange cap winners are the players with most runs in a season
Purple cap
Note: Purple cap winners are the players with most wickets in a season
Maximum sixes award
Player of the match (final) and series
References
Bangladesh Premier League lists
Lists of Bangladesh cricket records and statistics |
https://en.wikipedia.org/wiki/%C3%89lan%20B%C3%A9arnais%20in%20international%20competitions | French basketball club Élan Béarnais history and statistics in FIBA Europe and Euroleague Basketball competitions.
European competitions
References
Basketball in France
Basketball clubs in international competitions |
https://en.wikipedia.org/wiki/Hypercube%20internetwork%20topology | In computer networking, hypercube networks are a type of network topology used to connect multiple processors with memory modules and accurately route data. Hypercube networks consist of nodes, which form the vertices of squares to create an internetwork connection. A hypercube is basically a multidimensional mesh network with two nodes in each dimension. Due to similarity, such topologies are usually grouped into a -ary -dimensional mesh topology family, where represents the number of dimensions and represents the number of nodes in each dimension.
Topology
Hypercube interconnection network is formed by connecting N nodes that can be expressed as a power of 2. This means if the network has N nodes it can be expressed as :
where m is the number of bits that are required to label the nodes in the network. So, if there are 4 nodes in the network, 2 bits are needed to represent all the nodes in the network. The network is constructed by connecting the nodes that just differ by one bit in their binary representation. This is commonly referred to as Binary labelling. A 3D hypercube internetwork would be a cube with 8 nodes and 12 edges. A 4D hypercube network can be created by duplicating two 3D networks, and adding a most significant bit. The new added bit should be ‘0’ for one 3D hypercube and ‘1’ for the other 3D hypercube. The corners of the respective one-bit changed MSBs are connected to create the higher hypercube network. This method can be used to construct any m-bit represented hypercube with (m-1)-bit represented hypercube.
E-Cube Routing
Routing method for a hypercube network is referred to as E-Cube routing. The distance between two nodes in the network can be given by Hamming weight of (number of ones in) the XOR-operation between their respective binary labels.
The distance between Node 1 (represented as ‘01’) and Node 2 (represented as ‘10’) in the network given by:
E-Cube routing is a static routing method that employs XY-routing algorithm. This is commonly referred to as Deterministic, Dimension Ordered Routing model. E-Cube routing works by traversing the network in the kth dimension where k is the least significant non-zero bit in the result of calculating distance.
For example, let the sender's label be ‘00’ and the receiver's label be ‘11’. So, the distance between them is 11 and the least significant non-zero bit is the LSB bit. Figuring out which way to go for a ‘0’ or ‘1’ is determined by XY routing algorithm.
Metrics
Different measures of performance are used to evaluate the efficiency of a hypercube network connection against various other network topologies.
Degree
This defines the number of immediately adjacent nodes to a particular node. These nodes should be immediate neighbors. In case of a hypercube the degree is m.
Diameter
This defines the maximum number of nodes that a message must pass through on its way from the source to the destination. This basically gives us the delay in transmitting a message |
https://en.wikipedia.org/wiki/Butterfly%20network | A butterfly network is a technique to link multiple computers into a high-speed network. This form of multistage interconnection network topology can be used to connect different nodes in a multiprocessor system. The interconnect network for a shared memory multiprocessor system must have low latency and high bandwidth unlike other network systems, like local area networks (LANs) or internet for three reasons:
Messages are relatively short as most messages are coherence protocol requests and responses without data.
Messages are generated frequently because each read-miss or write-miss generates messages to every node in the system to ensure coherence. Read/write misses occur when the requested data is not in the processor's cache and must be fetched either from memory or from another processor's cache.
Messages are generated frequently, therefore rendering it difficult for the processors to hide the communication delay.
Components
The major components of an interconnect network are:
Processor nodes, which consist of one or more processors along with their caches, memories and communication assist.
Switching nodes (Router), which connect communication assist of different processor nodes in a system. In multistage topologies, higher level switching nodes connect to lower level switching nodes as shown in figure 1, where switching nodes in rank 0 connect to processor nodes directly while switching nodes in rank 1 connect to switching nodes in rank 0.
Links, which are physical wires between two switching nodes. They can be uni-directional or bi-directional.
These multistage networks have lower cost than a cross bar, but obtain lower contention than a bus. The ratio of switching nodes to processor nodes is greater than one in a butterfly network. Such topology, where the ratio of switching nodes to processor nodes is greater than one, is called an indirect topology.
The network derives its name from connections between nodes in two adjacent ranks (as shown in figure 1), which resembles a butterfly. Merging top and bottom ranks into a single rank, creates a Wrapped Butterfly Network. In figure 1, if rank 3 nodes are connected back to respective rank 0 nodes, then it becomes a wrapped butterfly network.
BBN Butterfly, a massive parallel computer built by Bolt, Beranek and Newman in the 1980s, used a butterfly interconnect network. Later in 1990, Cray Research's machine Cray C90, used a butterfly network to communicate between its 16 processors and 1024 memory banks.
Butterfly network building
For a butterfly network with p processor nodes, there need to be p(log2 p + 1) switching nodes. Figure 1 shows a network with 8 processor nodes, which implies 32 switching nodes. It represents each node as N(rank, column number). For example, the node at column 6 in rank 1 is represented as (1,6) and node at column 2 in rank 0 is represented as (0,2).
For any 'i' greater than zero, a switching node N(i,j) gets connected to N(i-1, j |
https://en.wikipedia.org/wiki/Phoenix%20Suns%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Phoenix Suns.
Individual awards
NBA Most Valuable Player Award
Charles Barkley — 1993
Steve Nash — 2005, 2006
NBA Rookie of the Year Award
Alvan Adams — 1976
Walter Davis — 1978
Amar'e Stoudemire — 2003
NBA Sixth Man of the Year Award
Eddie Johnson — 1989
Danny Manning — 1998
Rodney Rogers — 2000
Leandro Barbosa — 2007
NBA Sportsmanship Award
Grant Hill — 2008, 2010
NBA Most Improved Player Award
Kevin Johnson — 1989
Boris Diaw — 2006
Goran Dragić — 2014
NBA Coach of the Year Award
Cotton Fitzsimmons — 1989
Mike D'Antoni — 2005
Monty Williams — 2022
NBA Executive of the Year Award
Jerry Colangelo – 1976, 1981, 1989, 1993
Bryan Colangelo – 2005
James Jones – 2021
J. Walter Kennedy Citizenship Award
Kevin Johnson – 1991
Steve Nash – 2007
Best NBA Player ESPY Award
Charles Barkley — 1994
Steve Nash — 2005
All-NBA First Team
Connie Hawkins — 1970
Paul Westphal — 1977, 1979, 1980
Dennis Johnson — 1981
Charles Barkley — 1993
Jason Kidd — 1999, 2000, 2001
Steve Nash — 2005, 2006, 2007
Amar'e Stoudemire — 2007
Devin Booker — 2022
All-NBA Second Team
Paul Westphal — 1978
Walter Davis — 1978, 1979
Kevin Johnson — 1989, 1990, 1991, 1994
Tom Chambers — 1989, 1990
Charles Barkley — 1994, 1995
Amar'e Stoudemire — 2005, 2008, 2010
Steve Nash — 2008, 2010
Chris Paul — 2021
All-NBA Third Team
Kevin Johnson — 1992
Charles Barkley — 1996
Stephon Marbury — 2003
Shawn Marion — 2005, 2006
Shaquille O'Neal — 2009
Goran Dragić — 2014
Chris Paul — 2022
NBA All-Defensive First Team
Don Buse — 1978, 1979, 1980
Dennis Johnson — 1981, 1982, 1983
Jason Kidd — 1999, 2001
Raja Bell — 2007
Mikal Bridges — 2022
NBA All-Defensive Second Team
Paul Silas — 1971, 1972, 1973
Dick Van Arsdale — 1974
Dan Majerle — 1991, 1993
Jason Kidd — 2000
Clifford Robinson — 2000
Raja Bell — 2008
NBA All-Rookie First Team
Gary Gregor — 1969
Mike Bantom — 1974
Alvan Adams — 1976
Ron Lee — 1977
Walter Davis — 1978
Armon Gilliam — 1988
Michael Finley — 1996
Amar'e Stoudemire — 2003
Devin Booker — 2016
Deandre Ayton — 2019
NBA All-Rookie Second Team
Richard Dumas — 1993
Wesley Person — 1995
Shawn Marion — 2000
Joe Johnson — 2002
Marquese Chriss — 2017
Josh Jackson — 2018
NBA All-Star Weekend
NBA All-Star Game head coach
John MacLeod — 1981
Paul Westphal — 1993, 1995
Mike D'Antoni — 2007
Monty Williams — 2022
NBA All-Star Game Most Valuable Player Award
Shaquille O'Neal — 2009
NBA All-Star Weekend Three-Point Shootout
Quentin Richardson — 2005
Devin Booker — 2018
NBA All-Star Weekend Skills Challenge
Steve Nash — 2005, 2010
NBA All-Star Weekend Slam Dunk Contest
Larry Nance — 1984
Cedric Ceballos — 1992
Franchise leaders
(As of the 2022–23 season)
Bold denotes still active with team.
Italic denotes still active, but not with team.
Games played
Points
Minutes Played
Rebounds
Assists
Steals
Blocks
Field goals
Three point field goals
Free throws
Franchise record for championshi |
https://en.wikipedia.org/wiki/Rick%20Jardine | John Frederick "Rick" Jardine (born December 6, 1951 in Belleville, Canada) is a Canadian mathematician working in the fields of homotopy theory, category theory, and number theory.
Biography
Jardine obtained his Ph.D. from the University of British Columbia in 1981, with thesis Algebraic Homotopy written under the direction of Roy Douglas. Following a research fellowship at the University of Toronto and a Dickson instructorship at the University of Chicago, he joined the Department of Mathematics at the University of Western Ontario in 1984, where he is currently an emeritus professor.
From 2002 to 2016, Jardine held a Canada Research Chair in applied homotopy theory. Since 2008, he is fellow of the Fields Institute, and has been recognized with the Coxeter–James Prize in 1992 by the Canadian Mathematical Society. In 2018 the Canadian Mathematical Society listed him in their inaugural class of fellows.
Work
Jardine is known for his work on model category structures on simplicial presheaves.
References
External references
Jardine's homepage at the University of Western Ontario
1951 births
Living people
People from Belleville, Ontario
20th-century Canadian mathematicians
21st-century Canadian mathematicians
Topologists
University of British Columbia alumni
University of Chicago people
Academic staff of the University of Western Ontario
Fellows of the Canadian Mathematical Society |
https://en.wikipedia.org/wiki/Denver%20Nuggets%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Denver Nuggets.
Individual records
Franchise leaders
Bold denotes still active with team.
Italic denotes still active but not with team.
Points scored (regular season) (as of 2022–23 season)
Alex English (21,645)
Dan Issel (16,589)
Carmelo Anthony (13,970)
Nikola Jokić (12,054)
David Thompson (11,992)
Ralph Simpson (10,130)
Byron Beck (8,602)
Fat Lever (8,081)
Mahmoud Abdul-Rauf (7,029)
Jamal Murray (6,937)
Nene Hilario (6,868)
Kiki Vandeweghe (6,829)
Will Barton (6,695)
Antonio McDyess (6,555)
Dave Robisch (6,181)
Reggie Williams (5,934)
Ty Lawson (5,923)
Larry Jones (5,745)
Michael Adams (5,534)
Andre Miller (5,354)
Other statistics (regular season)
(as of 2022–23 season)
Individual awards
NBA
NBA Most Valuable Player
Nikola Jokić – 2021, 2022
NBA Conference Finals MVP
Nikola Jokić – 2023
NBA Finals MVP
Nikola Jokić – 2023
NBA Defensive Player of the Year
Dikembe Mutombo – 1995
Marcus Camby – 2007
NBA Most Improved Player of the Year
Mahmoud Abdul-Rauf – 1993
NBA Coach of the Year
Doug Moe – 1988
George Karl – 2013
NBA Sportsmanship Award
Chauncey Billups – 2009
J. Walter Kennedy Citizenship Award
Dan Issel – 1985
Alex English – 1988
Kenneth Faried – 2013
NBA Executive of the Year
Vince Boryla – 1985
Mark Warkentien – 2009
Masai Ujiri – 2013
All-NBA First Team
David Thompson – 1977, 1978
Nikola Jokić – 2019, 2021, 2022
All-NBA Second Team
Alex English – 1982, 1983, 1986
Lafayette Lever – 1987
Carmelo Anthony – 2010
Nikola Jokić – 2020, 2023
All-NBA Third Team
Antonio McDyess – 1999
Carmelo Anthony – 2006, 2007, 2009
Chauncey Billups – 2009
NBA All-Defensive First Team
Bobby Jones – 1977, 1978
Marcus Camby – 2007, 2008
NBA All-Defensive Second Team
T.R. Dunn – 1983–1985
Bill Hanzlik – 1986
Lafayette Lever – 1988
Dikembe Mutombo – 1995
Marcus Camby – 2005, 2006
NBA All-Rookie First Team
Dikembe Mutombo – 1992
LaPhonso Ellis – 1993
Antonio McDyess – 1996
Nenê – 2003
Carmelo Anthony – 2004
Kenneth Faried – 2012
Nikola Jokić – 2016
NBA All-Rookie Second Team
Mahmoud Abdul-Rauf – 1991
Mark Macon – 1992
Jalen Rose – 1995
Bobby Jackson – 1998
James Posey – 2000
Jusuf Nurkić – 2015
Emmanuel Mudiay – 2016
Jamal Murray – 2017
Bones Hyland – 2022
NBA All-Star Weekend
NBA All-Star Game
Dan Issel – 1977
Bobby Jones – 1977, 1978
David Thompson – 1977, 1978, 1979
George McGinnis – 1979
Alex English – 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989
Kiki Vandeweghe – 1983, 1984
Calvin Natt – 1985
Fat Lever – 1988, 1990
Dikembe Mutombo – 1992, 1995, 1996
Antonio McDyess – 2001
Carmelo Anthony – 2007, 2008, 2010, 2011
Allen Iverson – 2007, 2008
Chauncey Billups – 2009, 2010
Nikola Jokić – 2019, 2020, 2021, 2022, 2023
NBA All-Star Game head coach
Larry Brown – 1977
George Karl – 2010
Michael Malone – 2019, 2023
NBA All-Star Game Three-Point Contest
Voshon Lenard – 2004
ABA
ABA Most Valuable Player Award
Spencer Haywood |
https://en.wikipedia.org/wiki/New%20Orleans%20Pelicans%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the New Orleans Pelicans.
Franchise records
(As of the end of the 2022–23 season)
Bold denotes still active with team.
Italic denotes still active, but not with team.
Games played
Points
Rebounds
Assists
Steals
Blocks
Field goals
3-Pt Field goals
Free Throws
Individual awards
Rookie of the Year
Chris Paul – 2006
Most Improved Player
Brandon Ingram – 2020
Coach of the Year
Byron Scott – 2008
NBA Sportsmanship Award
P. J. Brown – 2004
All-NBA First Team
Chris Paul – 2008
Anthony Davis – 2015, 2017, 2018
All-NBA Second Team
Chris Paul – 2009
All-NBA Third Team
Jamal Mashburn – 2003
Baron Davis – 2004
Chris Paul – 2011
NBA All-Defensive First Team
Chris Paul – 2009
Anthony Davis – 2018
Jrue Holiday – 2018
NBA All-Defensive Second Team
Chris Paul – 2008, 2011
Anthony Davis – 2015, 2017
Jrue Holiday – 2019
NBA All-Rookie First Team
Chris Paul – 2006
Darren Collison – 2010
Anthony Davis – 2013
Zion Williamson – 2020
NBA All-Rookie Second Team
Marcus Thornton – 2010
Herbert Jones – 2022
NBA All-Star Weekend
NBA All-Star selections
Jamal Mashburn – 2003
Baron Davis – 2004
Jamaal Magloire – 2004
David West – 2008–2009
Chris Paul – 2008–2011
Anthony Davis – 2014–2019
DeMarcus Cousins – 2018
Brandon Ingram – 2020
Zion Williamson – 2021, 2023
NBA All-Star Game Most Valuable Player
Anthony Davis – 2017
All-Star West Head Coach
Byron Scott – 2008
Franchise record for championships
References
Accomplish
National Basketball Association accomplishments and records by team |
https://en.wikipedia.org/wiki/Emon | Emon is a Bengali and Japanese name. In both cultures it may be both a given name and a surname.
Statistics
The 2010 United States Census found 120 people with the surname Emon, making it the 139,228th-most-common surname in the country. This represented an increase from 107 people (142,819th-most-common) in the 2000 census. In both censuses, slightly less than nine-tenths of the bearers of the surname Emon identified as non-Hispanic white, and about seven percent as Asian.
People
Bengali
The Bengali name (), originating from the Arabic word iman, means "religious faith". People with this name include:
Shawkat Ali Emon (born 1941), Bangladeshi composer
Salman Shah (actor) (real name Shahriar Chowdhury Emon; 1971–1996), Bangladeshi film and television actor
Mamnun Hasan Emon (born 1983), Bangladeshi film actor
Emon Mahmud Babu (born 1993), Bangladeshi footballer
Anisul Islam Emon (born 1994), Bangladeshi cricketer
Parvez Hossain Emon (born 2002), Bangladeshi cricketer
Abu Shahed Emon (), Bangladeshi film director
Emon Saha (), Bangladeshi composer
Emon Ahmed (), Bangladeshi cricketer
Emon Chowdhury, Bangladeshi musician
Japanese
The Japanese name () means "palace guard" – literally, "guardian () of the gate ()". People with this name include:
, legendary figure of early ninth-century Japan
, Japanese waka poet
Other
Albert Emon (born 1953), French football manager
References
Bangladeshi given names
Bengali Muslim surnames
Japanese-language surnames
Japanese masculine given names
Masculine given names |
https://en.wikipedia.org/wiki/Hundred%20Fowls%20Problem | The Hundred Fowls Problem is a problem first discussed in the fifth century CE Chinese mathematics text Zhang Qiujian suanjing (The Mathematical Classic of Zhang Qiujian), a book of mathematical problems written by Zhang Qiujian. It is one of the best known examples of indeterminate problems in the early history of mathematics. The problem appears as the final problem in Zhang Qiujian suanjing (Problem 38 in Chapter 3). However, the problem and its variants have appeared in the medieval mathematical literature of India, Europe and the Arab world.
The name "Hundred Fowls Problem" is due to the Belgian historian Louis van Hee.
Problem statement
The Hundred Fowls Problem as presented in Zhang Qiujian suanjing can be translated as follows:
"Now one cock is worth 5 qian, one hen 3 qian and 3 chicks 1 qian. It is required to buy 100 fowls with 100 qian. In each case, find the number of cocks, hens and chicks bought."
Mathematical formulation
Let x be the number of cocks, y be the number of hens, and z be the number of chicks, then the problem is to find x, y and z satisfying the following equations:
x + y +z = 100
5x + 3y + z/3 = 100
Obviously, only non-negative integer values are acceptable. Expressing y and z in terms of x we get
y = 25 − (7/4)x
z = 75 + (3/4)x
Since x, y and z all must be integers, the expression for y suggests that x must be a multiple of 4. Hence the general solution of the system of equations can be expressed using an integer parameter t as follows:
x = 4t
y = 25 − 7t
z = 75 + 3t
Since y should be a non-negative integer, the only possible values of t are 0, 1, 2 and 3. So the complete set of solutions is given by
(x,y,z) = (0,25,75), (4,18,78), (8,11,81), (12,4,84).
of which the last three have been given in Zhang Qiujian suanjing. However, no general method for solving such problems has been indicated, leading to a suspicion of whether the solutions have been obtained by trial and error.
The Hundred Fowls Problem found in Zhang Qiujian suanjing is a special case of the general problem of finding integer solutions of the following system of equations:
x + y + z = d
ax + by + cz = d
Any problem of this type is sometime referred to as "Hundred Fowls problem".
Variations
Some variants of the Hundred Fowls Problem have appeared in the mathematical literature of several cultures. In the following we present a few sample problems discussed in these cultures.
Indian mathematics
Mahavira's Ganita-sara-sangraha contains the following problem:
Pigeons are sold at the rate of 5 for 3, sarasa-birds at the rate of 7 for 5, swans at the rate of 9 for 7, and peacocks at the rate of 3 for 9 (panas). A certain man was told to bring 100 birds for 100 panas. What does he give for each of the various kinds of birds he buys?
The Bakshali manuscript gives the problem of solving the following equations:
x + y + z = 20
3x + (3/2)y + (1/2)z = 20
Medieval Europe
The English mathematician Alcuin of York (8th century, c |
https://en.wikipedia.org/wiki/David%20Gauld%20%28mathematician%29 | David Barry Gauld (born 28 June 1942) is a New Zealand mathematician. He is a professor of mathematics at the University of Auckland.
Biography
Within mathematics, Gauld works in set-theoretic topology, with emphasis on applications to non-metrisable manifolds and topological properties of manifolds close to metrisability. Gauld has authored two monographs and over 70 research papers.
Gauld was born on 28 June 1942 in Inglewood and grew up there. He was educated at Wanganui Technical College, Inglewood High School and New Plymouth Boys’ High School, and later obtained his BSc and MSc degrees with first-class honours in mathematics from the University of Auckland. Awarded a Fulbright Grant, he completed his PhD in topology, in the University of California, Los Angeles, supervised by Robion Kirby. He was Head of the Department of Mathematics for 15 years and Assistant Vice-Chancellor (Research) for two-and-a-half years at the University of Auckland.
Notable students of Gauld include Sina Greenwood.
Honours
In the years 1981–1982, Gauld served as president of the New Zealand Mathematical Society.
He was the founding secretary of the New Zealand Mathematics Research Institute,
and served in this position for 13 years, retiring in 2011.
In 1997, he was awarded a New Zealand Science and Technology Medal by the Royal Society of New Zealand.
In 2015, he became an honorary life
member of the New Zealand Mathematical Society.
In the 2016 New Year Honours, Gauld was appointed an Officer of the New Zealand Order of Merit for services to mathematics.
References
1942 births
Living people
New Zealand mathematicians
Academic staff of the University of Auckland
University of Auckland alumni
University of California, Los Angeles alumni
People educated at Inglewood High School, New Zealand
People educated at New Plymouth Boys' High School
Officers of the New Zealand Order of Merit |
https://en.wikipedia.org/wiki/Milwaukee%20Bucks%20accomplishments%20and%20records | This page details the all-time statistics, records, and other achievements pertaining to the Milwaukee Bucks.
Individual awards
NBA MVP
Kareem Abdul-Jabbar – 1971, 1972, 1974
Giannis Antetokounmpo – 2019, 2020
NBA Finals MVP
Kareem Abdul-Jabbar – 1971
Giannis Antetokounmpo – 2021
NBA Defensive Player of the Year
Sidney Moncrief – 1983, 1984
Giannis Antetokounmpo – 2020
NBA Rookie of the Year
Kareem Abdul-Jabbar – 1970
Malcolm Brogdon – 2017
NBA Most Improved Player
Giannis Antetokounmpo – 2017
NBA Sixth Man of the Year
Ricky Pierce – 1987, 1990
NBA Sportsmanship Award
Jrue Holiday – 2021
NBA Coach of the Year
Don Nelson – 1983, 1985
Mike Budenholzer – 2019
NBA Executive of the Year
John Hammond – 2010
Jon Horst – 2019
NBA Teammate of the Year
Jrue Holiday – 2022, 2023
All-NBA First Team
Kareem Abdul-Jabbar – 1971–1974
Marques Johnson – 1979
Sidney Moncrief – 1983
Giannis Antetokounmpo – 2019-2023
All-NBA Second Team
Kareem Abdul-Jabbar – 1970
Oscar Robertson – 1971
Marques Johnson – 1980, 1981
Sidney Moncrief – 1982, 1984, 1985, 1986
Terry Cummings – 1985
Giannis Antetokounmpo – 2017, 2018
All-NBA Third Team
Terry Cummings – 1989
Vin Baker – 1997
Ray Allen – 2001
Michael Redd – 2004
Andrew Bogut – 2010
NBA All-Defensive First Team
Kareem Abdul-Jabbar – 1974, 1975
Sidney Moncrief – 1983–1986
Paul Pressey – 1985, 1986
Alvin Robertson – 1991
Giannis Antetokounmpo – 2019, 2020, 2021, 2022
Eric Bledsoe – 2019
Jrue Holiday – 2021, 2023
Brook Lopez – 2023
NBA All-Defensive Second Team
Kareem Abdul-Jabbar – 1970, 1971
Quinn Buckner – 1978, 1980, 1981, 1982
Sidney Moncrief – 1982
Paul Pressey – 1987
Alvin Robertson – 1990
Giannis Antetokounmpo – 2017
Eric Bledsoe – 2020
Brook Lopez – 2020
Jrue Holiday – 2022
NBA All-Rookie First Team
Kareem Abdul-Jabbar – 1970
Bob Dandridge – 1970
Marques Johnson – 1978
Vin Baker – 1994
Glenn Robinson – 1995
Andrew Bogut – 2005
Brandon Jennings – 2010
Malcolm Brogdon – 2017
NBA All-Rookie Second Team
Ray Allen – 1997
T. J. Ford – 2004
Giannis Antetokounmpo – 2014
NBA All-Star Weekend
NBA All-Star selections
Jon McGlocklin – 1969
Flynn Robinson – 1970
Kareem Abdul-Jabbar – 1970–1975
Oscar Robertson – 1971, 1972
Bob Dandridge – 1973, 1975, 1976
Jim Price – 1975
Brian Winters – 1976, 1978
Marques Johnson – 1979, 1980, 1981, 1983
Bob Lanier – 1982
Sidney Moncrief – 1982–1986
Terry Cummings – 1985, 1989
Ricky Pierce – 1991
Alvin Robertson – 1991
Vin Baker – 1995, 1996, 1997
Glenn Robinson – 2000, 2001
Ray Allen – 2000, 2001, 2002
Michael Redd – 2004
Giannis Antetokounmpo – 2017–2023
Khris Middleton – 2019, 2020, 2022
Jrue Holiday – 2023
All-Star Most Valuable Player
Giannis Antetokounmpo – 2021
NBA All-Star head coaches
Larry Costello – 1971, 1974
Mike Budenholzer – 2019
Franchise records
(As of the end of the 2022–23 season)
Bold denotes still active with team.
Italic denotes still active, but not with team.
Games played
Minutes played
Points
Rebounds
Assists
Steals
Blocks
Field goals
3–Pt Fi |
https://en.wikipedia.org/wiki/Reuben%20Acquah | Reuben Acquah (born 3 November 1996) is a Ghanaian professional footballer who plays as a defensive midfielder for Teuta.
Career statistics
Honours
Tirana
Albanian Cup: 2016–17
References
External links
1996 births
Living people
Footballers from Accra
Ghanaian men's footballers
Men's association football midfielders
Ghanaian expatriate men's footballers
Expatriate men's footballers in Belgium
Expatriate men's footballers in Austria
Expatriate men's footballers in Albania
Expatriate men's footballers in Slovakia
Expatriate men's footballers in Croatia
Ghanaian expatriate sportspeople in Belgium
Ghanaian expatriate sportspeople in Austria
Ghanaian expatriate sportspeople in Albania
Ghanaian expatriate sportspeople in Slovakia
Ghana Premier League players
Kategoria Superiore players
2. Liga (Austria) players
3. Liga (Slovakia) players
Red Bull Ghana players
Liberty Professionals F.C. players
K.V. Mechelen players
LASK players
FC DAC 1904 Dunajská Streda players
KF Tirana players
FC Juniors OÖ players
TSV Hartberg players
SV Ried players
NK Lokomotiva Zagreb players |
https://en.wikipedia.org/wiki/Canadian%20Census%20of%20Agriculture | The Canadian Census of Agriculture (), is a census conducted every five years by Statistics Canada, alongside the national census, for the purposes of gathering Canadian agricultural industry, farm operator, and farm data.
Overview
As mandated by the Statistics Act, Statistics Canada carries out a Census of Agriculture every five years. For this purpose, Statistics Canada surveys every agricultural operation and agricultural operator in Canada to construct a detailed, local understanding of demographics, commodities, operation structure, technology spread, and other notable aspects of agricultural data.
Like the United States Census of Agriculture, farm operators are obligated to respond to the census. Unlike the Census of Agriculture, there is no minimum amount of agricultural operation income produced and sold for an agricultural operation to be considered.
The Census of Agriculture is conducted concurrently with the larger Census of Population. Doing so allows for savings within the administrative costs, as well as for a direct linkage with the socio-demographic results present in the Census of Population, which is used to further inform the results of the Census of Agriculture. This linkage has been running since 1971.
The latest Census of Agriculture in Canada was conducted in May 2016.
History
Following after the designation of the national census in the Constitution Act of 1867, the first Census of Agriculture was conducted in Manitoba in 1896, with Alberta and Saskatchewan being added in 1901. In 1956 the Census of Agriculture was expanded to the rest of Canada, and at the same time would begin to be conducted concurrently to the Census of Population.
Like the Census of Population, the Census of Agriculture shifted from the responsibility of the Ministry of Agriculture to the Ministry of Trade and Commerce in 1912, and finally to the Dominion Bureau of Statistics (presently Statistics Canada) in 1918.
The 2016 Census of Agriculture recorded 193,492 farms and 271,935 farm operators.
Data collected from Census of Agriculture
The Census of Agriculture, given its interests in presenting a thorough understanding of the entirety of the agricultural sector in Canada, collects a wide variety of data about individual farm operations and operators. Examples of information collected include:
Agricultural Operator Data:
Number of Operators
Age of Operators
Gender of Operators
Education of Operators
Responsibilities of Operators
Agricultural Operation Data:
Type of operating arrangements
Main farm location
Size (area) of operation
Land use and land tenure
Area and type of crops
Number and type of livestock
Land management practices
Market value of land and buildings
Number and market value of farm machinery by type
Total gross farm receipts
Total farm business operating expenses
Total number of employees and number of employees paid on a full, part-time or seasonal basis
Presence of Direct marketing
Succession planning
|
https://en.wikipedia.org/wiki/Twisted%20sheaf | In mathematics, a twisted sheaf is a variant of a coherent sheaf. Precisely, it is specified by: an open covering in the étale topology Ui, coherent sheaves Fi over Ui, a Čech 2-cocycle θ for on the covering Ui as well as the isomorphisms
satisfying
,
The notion of twisted sheaves was introduced by Jean Giraud. The above definition due to Căldăraru is down-to-earth but is equivalent to a more sophisticated definition in terms of gerbe; see § 2.1.3 of .
See also
Reflexive sheaf
Torsion sheaf
References
Geometry |
https://en.wikipedia.org/wiki/Albania%20national%20football%20team%20records%20and%20statistics | The following is a list of the Albania national football team's competitive records and statistics.
The page is updated where necessary after each Albania match, and is correct as of 27 March 2023.
Honours
Balkan Cup
Winner (1): 1946
Fifth place (2): 1947, 1948
Malta (Rothmans) International Tournament
Winner (1): 2000
Third place (1): 1998
Individual records
Appearances
Most appearances
As of 27 March 2023, the players with the most caps for Albania are:
Longest Albania career
Erjon Bogdani, 16 years 11 months 2 days, 24 April 1996 – 26 March 2013
Youngest player
Iljaz Çeço, 17 years 4 months 20 days, 24 May 1964, 0–2 vs. Netherlands
Oldest player
Foto Strakosha, 39 years 10 months 17 days, 9 February 2005, 0–2 vs. Ukraine
Oldest debutant
Orges Shehi, 33 years 1 month 28 days, 17 November 2010, 0–0 vs. Macedonia
Most consecutive Albania's matches played
Etrit Berisha, 40
Appearances in three different decades
Blendi Nallbani, 1980s, 1990s, 2000s
Arjan Xhumba, 1980s, 1990s, 2000s
Erjon Bogdani, 1990s, 2000s, 2010s
Altin Lala, 1990s, 2000s, 2010s
Arjan Beqaj, 1990s, 2000s, 2010s
Most appearances at the FIFA World Cup qualifiers
Ervin Skela & Lorik Cana both at 28.
Most appearances at the UEFA European Championship
Etrit Berisha, Armando Sadiku, Elseid Hysaj, Amir Abrashi, Ansi Agolli, Mërgim Mavraj, Ermir Lenjani & Odise Roshi, all at 3.
Most appearances at the UEFA European Championship qualifying
Foto Strakosha & Altin Lala both at 29.
Most appearances at the UEFA European Championship and UEFA European Championship qualifying
Lorik Cana, 29.
Most minutes played in European Championship matches
Etrit Berisha, Elseid Hysaj, Amir Abrashi, Ansi Agolli & Mërgim Mavraj, all at 270 minutes.
Most UEFA European Championships played in
20 players all at 1.
Most appearances in the UEFA Nations League
Berat Djimsiti & Frédéric Veseli, 12
Most appearances at the Balkan Cup
Loro Boriçi, Muhamet Dibra, Aristidh Parapani, Vasif Biçaku & Sllave Llambi, all at 10.
Most Balkan Cup played in
Loro Boriçi, Muhamet Dibra, Aristidh Parapani, Vasif Biçaku, Sllave Llambi, Rexhep Spahiu, Bahri Kavaja, Giacomo Poselli, Bimo Fakja & Besim Fagu, all at 3.
Most appearances at the Malta (Rothmans) International Tournament
Rudi Vata 5.
Most Malta (Rothmans) International Tournament played in
Rudi Vata, Arjan Beqaj & Armir Grimaj, all at 2.
Most appearances at the Summer Olympics qualifications
Panajot Pano 4.
Most appearances as a substitute at the UEFA European Championship
Odise Roshi 2
Most UEFA European Championships matches won
14 players, all at 1
Most appearances as a substitute
Odise Roshi, 32
Oldest player to feature at the UEFA European Championship
Orges Shehi, 38 years 8 month 24 days, 19 June 2016, 1–0 vs. Romania
Youngest player to feature at the UEFA European Championship
Elseid Hysaj, 22 years 4 month 9 days, 11 June 2016, 1–0 vs. Switzerland
Goals
Most goals
As of 27 March 2023, the players with |
https://en.wikipedia.org/wiki/Xinyi%20Yuan | Xinyi Yuan (; born 1981) is a Chinese mathematician who is currently a professor of mathematics at Peking University working in number theory, arithmetic geometry, and automorphic forms. In particular, his work focuses on arithmetic intersection theory, algebraic dynamics, Diophantine equations and special values of L-functions.
Education
Yuan is from Macheng, Huanggang, Hubei province, and graduated from Huanggang Middle School in 2000. That year, he received a gold medal at the International Mathematical Olympiad while representing China. Yuan obtained his A.B. in mathematics from Peking University in 2003 and his Ph.D. in mathematics from the Columbia University in 2008 under the direction of Shou-Wu Zhang. His article "Big Line Bundles over Arithmetic Varieties," published in Inventiones Mathematicae, demonstrates a natural sufficient condition for when the orbit under the absolute Galois group is equidistributed.
Career
He spent time at the Institute for Advanced Study, Princeton University, and Harvard University before joining the Berkeley faculty in 2012.
Yuan was appointed a Clay Research Fellow for a three-year term from 2008 to 2013. Together with a number of other collaborators, Yuan was profiled in Quanta Magazine and Business Insider for, among other things, his research on L-functions.
Yuan left UC Berkeley to become a full professor at Peking University in 2020.
Research
Together with Shou-Wu Zhang, Yuan proved the averaged Colmez conjecture which was later shown to imply the André–Oort conjecture for Siegel modular varieties by Jacob Tsimerman.
Publications (selected)
(with Tong Zhang) "Effective Bound of Linear Series on Arithmetic Surfaces", Duke Mathematical Journal 162 (2013), no. 10, 1723–1770.
"On Volumes of Arithmetic Line Bundles", Compositio Mathematica 145 (2009), 1447–1464.
"Big Line Bundles over Arithmetic Varieties", Inventiones mathematicae 173 (2008), no. 3, 603–649.
(with Tong Zhang) "Relative Noether inequality on fibered surfaces", Advances in Mathematics 259 (2014), 89–115.
(with Shou-Wu Zhang) "The arithmetic Hodge index theorem for adelic line bundles", Mathematische Annalen (2016), 1–49.
(with Wei Zhang, Shou-Wu Zhang) "The Gross–Kohnen–Zagier theorem over totally real fields", Compositio Mathematica 145 (2009), no. 5, 1147–1162.
(with Wei Zhang, Shou-Wu Zhang) "The Gross–Zagier formula on Shimura curves", Annals of Mathematics Studies vol. 184, Princeton University Press, 2012.
(with Wei Zhang, Shou-Wu Zhang) "Triple product L-series and Gross–Kudla–Schoen cycles", preprint.
References
Mathematicians from Hubei
Living people
University of California, Berkeley faculty
Institute for Advanced Study visiting scholars
Peking University alumni
International Mathematical Olympiad participants
People from Huanggang
Educators from Hubei
Arithmetic geometers
1981 births |
https://en.wikipedia.org/wiki/Charles%20Davies%20%28professor%29 | Charles Davies (January 22, 1798 – September 17, 1876) was a professor of mathematics at the United States Military Academy, notable for writing a series of mathematical textbooks.
Biography
Davies was born in Washington, Connecticut. His father was a County Sheriff or County Judge. During Davies' early years, the family moved to St Lawrence County, New York, where he was educated in local schools. He entered the US Military Academy at West Point in December 1813, through the influence of General Joseph Swift, who had met Davies' father during the War of 1812. Davies had earned praise for the services rendered to General James Wilkinson's army in the Descent of the St. Lawerence during the fall of 1813. Having been brought up on the frontier, Davies had had little formal education, but he had no difficulty in pursuing the courses at the academy. He graduated from the academy in December 1815.
He joined the Light Artillery as a Bvt. Second Lieut. on December 11, 1815. He served a year in garrison at New England posts till August 31, 1816, when he was transferred to the Corps of Engineers. He resigned from the Army on December 1, 1816, and took a post as Assistant Professor of Mathematics at West Point. He became a Professor in May 1823.
Davies resigned from West Point in May 1837. From 1839 till 1841, he was a professor at Trinity College in Hartford, Connecticut, wherein he established a connection with Alfred Smith Barnes for publication of his books. He resigned from this position due to illness. He was reappointed in the army as a paymaster in November 1841, and was the Treasurer at West Point from December 11, 1841, to December 19, 1846. In 1848, he joined the New York University as a Professor of Mathematics and Natural Philosophy. Upon his retirement a year later, he was conferred the degree of Doctor of Law from Geneva College, New York. Davies had chosen to retire to devote more time in writing textbooks. After a brief teaching stint at the Normal School in Albany, New York, he accepted a position at Columbia College, New York City in 1857 and was appointed as emeritus professor in 1865.
He died on September 17, 1878. He was engaged with authoring textbooks till his death. He was buried in the family cemetery at Oswegatchie, New York.
Works
Charles Davies' books were published by A.S. Barnes & Co. His earliest works were translations of French authors. But according to author John H. Lienhard, those books were based only very loosely upon the original French works. Elements of Geometry and Trigonometry (1828), his most popular work, appeared in 33 editions/printings and sold more than 300,000 copies. By 1875, his publisher had sold over 7,000,000 copies of his books and was selling 350,000 copies every year.
Mathematical historian Florian Cajori wrote of his books as being "perspicuous, clear, and logically arranged."
The following works by Davies were used as textbooks at West Point:
Elements of Descriptive Geometry, with Their Ap |
https://en.wikipedia.org/wiki/Marat%20Safin%20career%20statistics | This is a list of the main career statistics of Russian former professional tennis player Marat Safin.
Historic records and career achievements
At the 1998 French Open, Safin shook the tennis world by defeating defending champion Gustavo Kuerten in the second round in 5 sets, taking out the defending champion in his first Grand Slam appearance. He was named ATP Newcomer of the Year by the end of the season. The following year he reached the finals of Paris Masters on his first attempt, losing in the final to reigning world No. 1 Andre Agassi.
He set several records in 2000, including some that still stands today. In August, Safin defeated qualifier Harel Levy to win his first Masters Series title at the 2000 Canada Masters, becoming one of the few players in the Open Era to win a Masters tournament on their first attempt. In September, Safin defeated 4-time champion and 4th seed Pete Sampras in the final in straight sets to win his first Grand Slam title at the 2000 US Open. By winning the US Open at the age of 20 years and 228 days, Safin became the 3rd youngest winner in the history of the tournament at the time and the first, and to date, the only Russian to win the title in men's singles. He also became the youngest Russian to win a Grand Slam. After winning his second Masters title of the year at the Paris Masters in November, Safin became the youngest player in the Open Era at the time to reach the World No. 1 ranking at the age of 20 years and 299 days, a record since broken by Lleyton Hewitt in 2001. Safin's total number of titles (7) and finals (9) was the most on the 2000 ATP Tour, and he is also named ATP Most Improved Player.
In 2002, Safin reached his first Australian Open final, but was upset by Thomas Johansson, who has never progressed beyond the quarterfinals of a Slam prior to this tournament, in 4 sets after winning the first set. He reached the final at the Hamburg Masters for the second time in 3 years (first being in 2000). Later, he also reached his first French Open semifinal, and almost regained the No. 1 ranking (he was ranked world No. 2 for 13 weeks after the French Open). In November, he won the Paris Masters for a second time, defeating reigning world No. 1 Lleyton Hewitt in straight sets. In December, Safin lead Russia to her first Davis Cup title. The team made Davis Cup history by being the second to win the event after losing the doubles tie-breaker, and being the first team to win a (live-televised) five-set finals match by coming back from a two-set deficit. He won the ATP Fan's Favorite for the record second consecutive time after winning it in 2001, which was later broken by Roger Federer in 2005.
After a series of injuries that sidelined him for the majority of the 2003 season, Safin reached his second Australian Open final in 2004, with a win over 1st seed Andy Roddick in the quarterfinals and Andre Agassi in the semifinals, ending Agassi's 26-match win-streak at the Australian Open, however both match |
https://en.wikipedia.org/wiki/Mathematics%2C%20Science%2C%20and%20Arts%20Academy%20-%20East | Mathematics, Science, and Arts Academy - East or MSA-East Academy is a magnet K-12 school in St. Gabriel, Louisiana. It is a part of the Iberville Parish School Board. It opened on the ground of six temporary buildings of the St. Gabriel Community Center in August 2008 and moved to permanent quarters in August 2011.
it, along with one other school, East Iberville School, also in St. Gabriel, serves the portion of Iberville Parish on the east bank of the Mississippi River, which has fewer residents compared to the west bank.
History
In 2010, George Grace, then the mayor of St. Gabriel, perceived the district as being malingering in building the school; he told the district that he intended to start a campaign for the City of St. Gabriel to establish its own school district separate from that of the parish.
In 2013 St. Gabriel and East Bank residents complained about the district not giving a cafeteria to and instead giving improvements to Mathematics, Science, and Arts Academy - West (MSA West). In a five-year period ending in 2013, around 56% of the students at MSA East and East Iberville performed at or above grade level, and the Louisiana State Department of Education consistently gave both schools "C" ratings. For these reasons, St. Gabriel city officials that year suggested seceding from Iberville schools.
Operations
the school does not have its own on-site cafeteria but instead gets food trucked from East Iberville's elementary section; Terry L. Jones of The Advocate reported that the school community unsuccessfully campaigned to the district for it to build a cafeteria..
Enrollment
this school and East Iberville together had over 60 employees and about 600 students.
References
External links
Mathematics, Science, and Arts Academy - East
Schools in Iberville Parish, Louisiana
2008 establishments in Louisiana
Educational institutions established in 2008
Public K-12 schools in Louisiana |
https://en.wikipedia.org/wiki/Takumi%20Sasaki | is a Japanese football player currently playing for Ehime FC.
Career
Takumi Sasaki joined J1 League club Vegalta Sendai in 2016.
Club statistics
Updated to end of 2018 season.
References
External links
Profile at Kamatamare Sanuki
1998 births
Living people
Association football people from Miyagi Prefecture
Japanese men's footballers
J1 League players
Vegalta Sendai players
J2 League players
Tokushima Vortis players
Kamatamare Sanuki players
Renofa Yamaguchi FC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Ulam%20problem | In mathematics, the Erdős–Ulam problem asks whether the plane contains a dense set of points whose Euclidean distances are all rational numbers. It is named after Paul Erdős and Stanislaw Ulam.
Large point sets with rational distances
The Erdős–Anning theorem states that a set of points with integer distances must either be finite or lie on a single line. However, there are other infinite sets of points with rational distances. For instance, on the unit circle, let S be the set of points
where is restricted to values that cause to be a rational number. For each such point, both and are themselves both rational, and if and define two points in S, then their distance is the rational number
More generally, a circle with radius contains a dense set of points at rational distances to each other if and only if is rational. However, these sets are only dense on their circle, not dense on the whole plane.
History and partial results
In 1946, Stanislaw Ulam asked whether there exists a set of points at rational distances from each other that forms a dense subset of the Euclidean plane. While the answer to this question is still open, József Solymosi and Frank de Zeeuw showed that the only irreducible algebraic curves that contain infinitely many points at rational distances are lines and circles. Terence Tao and Jafar Shaffaf independently observed that, if the Bombieri–Lang conjecture is true, the same methods would show that there is no infinite dense set of points at rational distances in the plane. Using different methods, Hector Pasten proved that the abc conjecture also implies a negative solution to the Erdős–Ulam problem.
Consequences
If the Erdős–Ulam problem has a positive solution, it would provide a counterexample to the Bombieri–Lang conjecture and to the abc conjecture. It would also solve Harborth's conjecture, on the existence of drawings of planar graphs in which all distances are integers. If a dense rational-distance set exists, any straight-line drawing of a planar graph could be perturbed by a small amount (without introducing crossings) to use points from this set as its vertices, and then scaled to make the distances integers. However, like the Erdős–Ulam problem, Harborth's conjecture remains unproven.
References
Arithmetic problems of plane geometry
Unsolved problems in mathematics
Ulam problem |
https://en.wikipedia.org/wiki/Eric%20Stephen%20Barnes | Eric Stephen Barnes (1924–2000), was an Australian pure mathematician. He was awarded the Thomas Ranken Lyle Medal in 1959, and was (Sir Thomas) Elder Professor of Mathematics at the University of Adelaide. He was elected a Fellow of the Australian Academy of Science in 1954.
He was born in Cardiff, Wales, 16 January 1924 and died 16 October 2000 in Adelaide, South Australia. He was educated at the Universities of Sydney and Cambridge. He held appointments as a Fellow of Trinity College, Cambridge 1950–1954; assistant lecturer, Cambridge 1951–1953; reader in pure mathematics, University of Sydney 1953–1958; Elder Professor of Mathematics, University of Adelaide 1959–1974; Secretary (Physical Sciences) Australian Academy of Science 1972–1976; Deputy Vice-chancellor University of Adelaide 1975–1980; Professor of Pure Mathematics University of Adelaide 1981–1983.
See also
Barnes–Wall lattice
References
1924 births
2000 deaths
Fellows of the Australian Academy of Science
Australian mathematicians
University of Sydney alumni
Alumni of the University of Cambridge
Scientists from Cardiff |
https://en.wikipedia.org/wiki/Kiichi%20Yajima | is a Japanese football player. He plays for Omiya Ardija.
Career
Kiichi Yajima joined FC Tokyo in 2016. On March 13, he debuted in J3 League (v SC Sagamihara).
Club statistics
Updated to 5 February 2021.
Reserves performance
Last Updated: 25 February 2019.
References
External links
Profile at FC Tokyo
1995 births
Living people
People from Hachiōji, Tokyo
Chuo University alumni
Association football people from Tokyo
Japanese men's footballers
J1 League players
J2 League players
J3 League players
FC Tokyo players
FC Tokyo U-23 players
Omiya Ardija players
Men's association football forwards |
https://en.wikipedia.org/wiki/Masayuki%20Yamada | is a Japanese football player. He plays for Omiya Ardija on loan from FC Tokyo.
Career
Masayuki Yamada joined FC Tokyo in 2016. On march 20, he debuted in J3 League (v FC Ryukyu).
Club statistics
Updated to 14 February 2020.
References
External links
Profile at FC Tokyo
1994 births
Living people
Hosei University alumni
Association football people from Saitama Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
FC Tokyo players
FC Tokyo U-23 players
FC Machida Zelvia players
Avispa Fukuoka players
Zweigen Kanazawa players
Omiya Ardija players
Men's association football defenders |
https://en.wikipedia.org/wiki/Yoshitake%20Suzuki | is a Japanese football player. He plays for Mito HollyHock.
Career
Yoshitake Suzuki joined FC Tokyo in 2016. On March 13, he debuted in J3 League (v SC Sagamihara).
Club statistics
Updated to 25 February 2019.
References
External links
Profile at FC Tokyo
1998 births
Living people
Association football people from Tokyo Metropolis
People from Kokubunji, Tokyo
Japanese men's footballers
J1 League players
J3 League players
FC Tokyo players
FC Tokyo U-23 players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Open%20Problems%20in%20Mathematics | Open Problems in Mathematics is a book, edited by John Forbes Nash Jr. and Michael Th. Rassias, published in 2016 by Springer (). The book consists of seventeen expository articles, written by outstanding researchers, on some of the central open problems in the field of mathematics. The book also features an Introduction on John Nash: Theorems and Ideas, by Mikhail Leonidovich Gromov. According to the editors’ Preface, each article is devoted to one open problem or a “constellation of related problems”.
Choice of problems
Nash and Rassias write in the preface of the book that the open problems presented “were chosen for a variety of reasons. Some were chosen for their undoubtable importance and applicability, others because they constitute intriguing curiosities which remain unexplained mysteries on the basis of current knowledge and techniques, and some for more emotional reasons. Additionally, the attribute of a problem having a somewhat vintage flavor was also influential” in their decision process.
Table of contents
Preface, by John F. Nash Jr. and Michael Th. Rassias
A Farewell to “A Beautiful Mind and a Beautiful Person”, by Michael Th. Rassias
Introduction, John Nash: Theorems and Ideas, by Mikhail Leonidovich Gromov
P =? NP, by Scott Aaronson
From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond, by Owen Barrett, Frank W. K. Firk, Steven J. Miller, and Caroline Turnage-Butterbaugh
The Generalized Fermat Equation, by Michael Bennett, Preda Mihăilescu, and Samir Siksek
The Conjecture of Birch and Swinnerton-Dyer, by John H. Coates
An Essay on the Riemann Hypothesis, by Alain Connes
Navier–Stokes Equations: A Quick Reminder and a Few Remarks, by Peter Constantin
Plateau’s Problem, by Jenny Harrison and Harrison Pugh
The Unknotting Problem, by Louis Kauffman
How Can Cooperative Game Theory Be Made More Relevant to Economics?: An Open Problem, by Eric Maskin
The Erdős–Szekeres Problem, by Walter Morris and Valeriu Soltan
Novikov’s Conjecture, by Jonathan Rosenberg
The Discrete Logarithm Problem, by René Schoof
Hadwiger’s Conjecture, by Paul Seymour
The Hadwiger–Nelson Problem, by Alexander Soifer
Erdős’s Unit Distance Problem, by Endre Szemerédi
Goldbach’s Conjectures: A Historical Perspective, by Robert Charles Vaughan
The Hodge Conjecture'', by Claire Voisin
References
2016 non-fiction books
Books about mathematics
Unsolved problems in mathematics |
https://en.wikipedia.org/wiki/Belarusians%20in%20Latvia | Belarusians make up Latvia's third largest ethnic group after Latvians and Russians.
Number
According to 2017 statistics, 69.3 thousands of the inhabitants of Latvia identify themselves as ethnic Belarusians, which is slightly higher than according to the 2011 census (68 202) but still much lower than the numbers for 1989 and 2000.
The border regions of Latvia are predominantly inhabited by Belarusians, there is a Belarusian school in Riga and several Belarusian organizations.
History
According to research by the early 20th century ethnographers Jaŭchim Karski and Mitrafan Doŭnar-Zapolski, the territory of modern Latvia is a home to an autochthonous Belarusian population in southern Latgalia. Daugavpils (, Dzvinsk) and the territory of southern Latgalia were declared part of the Belarusian Democratic Republic in 1918 and the Soviet Socialist Republic of Belarus in 1919 but were then transferred by the bolsheviks to the independent Latvia.
After Latvia gained independence, several organizations of the Belarusian minority were established in the country, as well as about 40 Belarusian schools, two Belarusian lyceums, two theatres (in Riga and Daugavpils), a newspaper and several magazines.
After the 1934 Latvian coup d'état, the Belarusian education in Latvia began to feel pressure from the officials and was completely shut down by 1940 when the country was occupied by the USSR and later for a few years by Nazi Germany.
During the Soviet occupation, Latvia saw an influx of migrants from Belarus.
During the Perestroika, new organizations of the Belarusian minority have been established. After the country restored its independence, some ethnic Belarusians left for Belarus.
Belarusians in Latvia
Kastuś Jezavitaŭ, politician and minister of defence of the Belarusian Democratic Republic, born in Daugavpils
Janka Maŭr, writer, born in Liepāja
Viktar Valtar, writer, poet, born in Daugavpils
External links
Svitanak, an organization of the Belarusian minority in Latvia
Latvia
Society of Latvia
Belarus–Latvia relations |
https://en.wikipedia.org/wiki/Lewicka | Lewicka may refer to:
People
Karolina Lewicka (born 1981), Polish film director and writer
Marta Lewicka (born 1972), Polish-American professor of mathematics
Olga Lewicka (born 1975), Polish born visual artist
Other
Cegielnia Lewicka, village in Poland
Surnames of Polish origin |
https://en.wikipedia.org/wiki/PAOK%20B.C.%20in%20international%20competitions | PAOK B.C. in international competitions is the history and statistics of PAOK B.C. in the FIBA Europe and Euroleague Basketball Company European-wide professional club basketball competitions.
1960s
1959–60 FIBA European Champions Cup, 1st–tier
The 1959–60 FIBA European Champions Cup was the 3rd installment of the European top-tier level professional basketball club competition FIBA European Champions Cup (now called EuroLeague), running from November 18, 1959 to May 15, 1960. The trophy was won by the title holder Rīgas ASK, who defeated Dinamo Tbilisi by a result of 130–113 in a two-legged final on a home and away basis. Overall, PAOK achieved in the present competition a record of 0 wins against 2 defeats, in only one round. More detailed:
First round
Tie played on November 29, 1959 and on December 13, 1959.
|}
1970s
1974–75 FIBA Korać Cup, 3rd–tier
The 1974–75 FIBA Korać Cup was the 4th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from November 5, 1974 to March 25, 1975. The trophy was won by the title holder Birra Forst Cantù, who defeated CF Barcelona by a result of 181–154 in a two-legged final on a home and away basis. Overall, PAOK achieved in present competition a record of 1 win against 1 defeat, in two successive rounds. More detailed:
First round
Bye
Second round
Tie played on November 26, 1974 and on December 3, 1974.
|}
1975–76 FIBA Korać Cup, 3rd–tier
The 1975–76 FIBA Korać Cup was the 5th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from October 28, 1975 to March 23, 1976. The trophy was won by Jugoplastika, who defeated Chinamartini Torino by a result of 179–166 in a two-legged final on a home and away basis. Overall, PAOK achieved in present competition a record of 1 win against 1 defeat, in two successive rounds. More detailed:
First round
Bye
Second round
Tie played on November 18, 1975 and on November 25, 1975.
|}
1980s
1981–82 FIBA Korać Cup, 3rd–tier
The 1981–82 FIBA Korać Cup was the 11th installment of the European 3rd-tier level professional basketball club competition FIBA Korać Cup, running from October 7, 1981 to March 18, 1982. The trophy was won by Limoges CSP, who defeated Šibenka by a result of 90–84 at Palasport San Lazzaro in Padua, Italy. Overall, PAOK achieved in present competition a record of 2 wins against 2 defeats, in two successive rounds. More detailed:
First round
Tie played on October 7, 1981 and on October 14, 1981.
|}
Second round
Tie played on November 4, 1981 and on November 11, 1981.
|}
1982–83 FIBA European Cup Winners' Cup, 2nd–tier
The 1982–83 FIBA European Cup Winners' Cup was the 17th installment of FIBA's 2nd-tier level European-wide professional club basketball competition FIBA European Cup Winners' Cup (lately called FIBA Saporta Cup), running from October 5, 1982 to March 9, 1983. The trophy was won by Scavolini Pesaro, who defeated ASV |
https://en.wikipedia.org/wiki/Sheikh%20Badin | {
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}Sheikh Badin is a famous tourist place in mid of Lakki Marwat and Dera Ismail Khan Districts of Pakistan. It is located at the junction of Dera Ismail Khan and Lakki Marwat districts, approximately 25 kilometers towards east on Indus Highway at the town of Pezu. Access to the hill station is difficult due to the poor condition of the unpaved road which is regularly degraded by rainfall during the monsoon period. It has a lot of old monuments.Here live two tribes one of which are mughals and the other are syed.
History
The name Sheikh Badin originates from name of the sufi saint Sheikh Baha-u-Din Shah, locally famous as Jandō Nekō who is buried at the main cemetery of the village. Traditional folklore describes the famous sufi saint Sheikh Abdul Qadir Gillani came to spend 40 days in recluse at the hill. Jandō Nekō was a descendant of Sufi Saint Sheikh Abdul Qadir Gillani, and came to live here circa 1600 AD in commemoration of his ancestor's recluse on the hill. An annual religious fair, the "Sadra", is held by the devotees of the Syed Tribe in the month of April. Devotees from the nearby districts climb the hill and present gifts to the locals and make recitations and prayers on the graves of the ancient Syeds buried in the village.The second tribe present on the hill are the descendants of mughals which came here after the war of Independence in 1857 and are settled permanently on shiekh badin and nearby villages.The first among mughals to arrive on the hill was the mughal forces general Mirza Imam Baksh Tarbiyat Khan who on the order of aurangzeb fought the Battle of Torna and Battle of rajgarh successfully conquering the maratha fortress. Mahraja Dilip Singh place a bounty of 80 thousand dirhim on Tarbiyat khans head. He lived on shiekh badin for 87 years and at the time of death his age was 160.Tarbiyat khan is buried in the mughal cemetery where tourists often make visits to view the tomb of Tarbiyat Khan and other descendents which have taken part in the war of Independence against Britain.The tribe is now headed by the descendants of Tarbiyat Khan, one of which is named Mirza Iqbal Azam Engr. Rtd from agricultural department of Pakistan , and have control of the most of area of the hill and observe judgment and decision in so called local jirga because the Law and control agencies are mostly inactive in the area due to harsh climate and absence of the possible way up.
Climate and Population
The hill station is at an average altitude of 1300 meters from sea level. Due to the significant elevation, the climate is less severe compared to surrounding areas and summers are relatively pleasant while winters are harsh and dry. Occasional snowfall is recorded in the months of January |
https://en.wikipedia.org/wiki/Reo%20Yamashita | is a Japanese football player. He plays for FC Ryukyu.
Career
Reo Yamashita joined Gamba Osaka in 2016. On June 26, he debuted in J3 League (v Fukushima United FC).
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Association football people from Osaka Prefecture
Kindai University alumni
Japanese men's footballers
Men's association football defenders
J2 League players
J3 League players
Gamba Osaka players
Gamba Osaka U-23 players
FC Ryukyu players |
https://en.wikipedia.org/wiki/P-basis | In algebra, a p-basis is a generalization of the notion of a separating transcendence basis for a field extension of characteristic p, introduced by .
Definition
Suppose k is a field of characteristic p and K is a field extension. A p-basis is a set of elements xi of K such that the elements dxi form a basis for the K-vector space ΩK/k of differentials.
Examples
If K is a finitely generated separable extension of k then a p-basis is the same as a separating transcendence basis. In particular in this case the number of elements of the p-basis is the transcendence degree.
If k is a field, x an indeterminate, and K the field generated by all elements x1/pn then the empty set is a p-basis, though the extension is separable and has transcendence degree 1.
If K is a degree p extension of k obtained by adjoining a pth root t of an element of k then t is a p-basis, so a p-basis has cardinality 1 while the transcendence degree is 0.
References
Field (mathematics) |
https://en.wikipedia.org/wiki/Koki%20Shimosaka | is a Japanese football player. He plays for Blaublitz Akita.
Career
Koki Shimosaka joined J1 League club Avispa Fukuoka in 2016. On, he debuted in J.League Cup (v Kawasaki Frontale).
Club statistics
Updated to 25 December 2021.
References
External links
Profile at Machida Zelvia
Profile at Avispa Fukuoka
1993 births
Living people
National Institute of Fitness and Sports in Kanoya alumni
Association football people from Fukuoka Prefecture
Japanese men's footballers
J1 League players
J2 League players
Avispa Fukuoka players
FC Machida Zelvia players
Blaublitz Akita players
Men's association football defenders |
https://en.wikipedia.org/wiki/Samantha%20John | Samantha John (born ) is an American entrepreneur, known for being the co-founder of Hopscotch, a learn-to-code application.
Education and Career
John studied applied mathematics, English, and comparative literature at Columbia University. John became interested in computers and programming her senior year of college when she began working on a website for a student club. Before developing Hopscotch, she previously worked as an engineer and a developer at Pivotal Labs. She had been one of the only women developers in her company. After partnering with Hopscotch co-founder and fellow Columbia alumna Jocelyn Leavitt, John created her first app named "Daisy the Dinosaur" in 2012. John eventually left her consultancy job to pursue the development of Hopscotch full-time. In 2013, Business Insider listed John as one of the "30 Most Important Women Under 30 in Tech", "Silicon Alley 100", and "28 Extraordinary Women in New York Tech" for cofounding Hopscotch Technologies. Glamour magazine named John and co-founder Leavitt in their list of "35 Women Under 35 Who are Changing the Tech Industry" in 2014. In 2015, she was listed as one of BBC's 100 Women.
Hopscotch
John created Hopscotch at the age of 26 with educator Jocelyn Leavitt, who noticed a lack women and people of color in engineering. Hopscotch is the first programming language designed for a touch screen device. John and Leavitt aimed to create a programming language that was simple enough for children to use, while still allowing children to learn and be creative. The app involves a visual programming language, rather than employing lines of code. Hopscotch, which is aimed at children ages eight to 12, was downloaded 20,000 times in its first week. They first launched the app for the iPad in 2013, and have since developed the app for the iPhone. Within one year, users created over 2.5 million projects. Most children use the app to build games and create animated artwork while learning programming basics. According to the founders, nearly half of Hopscotch's users are girls.
Hopscotch was partially inspired by HyperCard, an early software application and development kit which also inspired the creator of "wiki" software, as well as Scratch, an early visual programming environment. In addition, John notes inspiration from her mentor, Alan Kay. John Revealed in Shark Tank, that Hopscotch had 200k active users every month for the first time in 2020. Hopscotch has received the Best Education Tech App Awards by Parent Magazine.
References
Living people
1980s births
American computer programmers
American women in business
Columbia School of Engineering and Applied Science alumni
American women computer scientists
American computer scientists
American women engineers
21st-century American women scientists |
https://en.wikipedia.org/wiki/Hiroto%20Ishikawa | is a Japanese football player. He plays for Renofa Yamaguchi FC.
Career
Hiroto Ishikawa joined J1 League club Sagan Tosu in 2016.
Club statistics
Updated to 24 February 2019.
References
External links
Profile at Sagan Tosu
1998 births
Living people
Association football people from Fukuoka Prefecture
Japanese men's footballers
J1 League players
J3 League players
Sagan Tosu players
Roasso Kumamoto players
Renofa Yamaguchi FC players
Men's association football defenders |
https://en.wikipedia.org/wiki/Silvio%20Zogaj | Silvio Zogaj (born 25 July 1997) is an Albanian professional footballer who plays as a midfielder for Albanian club Kastrioti.
Career statistics
Club
References
External links
1997 births
Living people
Sportspeople from Lezhë
Men's association football midfielders
Albanian men's footballers
Albania men's under-21 international footballers
KF Luftëtari players
KF Laçi players
KF Vllaznia Shkodër players
Kategoria Superiore players
Kategoria e Parë players |
https://en.wikipedia.org/wiki/%C3%81d%C3%A1m%20Kor%C3%A1nyi | Ádám Korányi (born July 13, 1932, in Szeged) is a Hungarian and American mathematician. He is a Distinguished Professor of Mathematics and Computer Science at Lehman College, City University of New York and at the CUNY Graduate Center. His research interests include complex analysis, harmonic analysis, and quasiconformal mappings.
Life and career
Korányi earned his doctorate in 1959 from the University of Chicago under the supervision of Marshall Stone.
He has been an external member of the Hungarian Academy of Sciences since 2001.
Korányi advised 7 doctoral students, including Howard L. Resnikoff.
Selected publications
References
1932 births
20th-century American mathematicians
20th-century Hungarian mathematicians
21st-century American mathematicians
21st-century Hungarian mathematicians
Living people
People from Szeged
University of Chicago alumni
Members of the Hungarian Academy of Sciences
City University of New York faculty
CUNY Graduate Center faculty
Lehman College faculty
Complex analysts |
https://en.wikipedia.org/wiki/Takuya%20Miyamoto%20%28footballer%2C%20born%201993%29 | is a Japanese football player who currently plays for Vanraure Hachinohe.
Career
Takuya Miyamoto joined J2 League club Mito HollyHock in 2016.
Club statistics
Updated to January 1, 2021.
References
External links
Profile at Mito HollyHock
1993 births
Living people
Waseda University alumni
Association football people from Chiba Prefecture
Japanese men's footballers
J2 League players
J3 League players
Mito HollyHock players
YSCC Yokohama players
Fujieda MYFC players
Men's association football forwards |
https://en.wikipedia.org/wiki/Ryota%20Ukai | is a Japanese football player. He plays for Thespakusatsu Gunma.
Club statistics
Updated to 20 February 2017.
References
External links
1996 births
Living people
Association football people from Chiba Prefecture
Japanese men's footballers
J2 League players
Japan Football League players
Thespakusatsu Gunma players
Tochigi City FC players
Men's association football defenders |
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