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https://en.wikipedia.org/wiki/Great%20icosihemidodecahedron | In geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform polyhedron, indexed as U71. It has 26 faces (20 triangles and 6 decagrams), 60 edges, and 30 vertices. Its vertex figure is a crossed quadrilateral.
It is a hemipolyhedron with 6 decagrammic faces passing through the ... |
https://en.wikipedia.org/wiki/Icosidodecadodecahedron | In geometry, the icosidodecadodecahedron (or icosified dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U44. It has 44 faces (12 pentagons, 12 pentagrams and 20 hexagons), 120 edges and 60 vertices. Its vertex figure is a crossed quadrilateral.
Related polyhedra
It shares its vertex arrangement with... |
https://en.wikipedia.org/wiki/Small%20ditrigonal%20dodecicosidodecahedron | In geometry, the small ditrigonal dodecicosidodecahedron (or small dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U43. It has 44 faces (20 triangles, 12 pentagrams and 12 decagons), 120 edges, and 60 vertices. Its vertex figure is a crossed quadrilateral.
Related polyhedra
It shares its ... |
https://en.wikipedia.org/wiki/Nonconvex%20great%20rhombicosidodecahedron | In geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67. It has 62 faces (20 triangles, 30 squares and 12 pentagrams), 120 edges, and 60 vertices. It is also called the quasirhombicosidodecahedron. It is given a Schläfli symbol rr{,3}. Its vertex figure is a crossed qu... |
https://en.wikipedia.org/wiki/Great%20rhombihexahedron | In geometry, the great rhombihexahedron (or great rhombicube) is a nonconvex uniform polyhedron, indexed as U21. It has 18 faces (12 squares and 6 octagrams), 48 edges, and 24 vertices. Its dual is the great rhombihexacron. Its vertex figure is a crossed quadrilateral.
Orthogonal projections
Gallery
Related polyhed... |
https://en.wikipedia.org/wiki/Great%20dodecicosahedron | In geometry, the great dodecicosahedron (or great dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U63. It has 32 faces (20 hexagons and 12 decagrams), 120 edges, and 60 vertices. Its vertex figure is a crossed quadrilateral.
It has a composite Wythoff symbol, 3 ( ) |, requiring two different Schwarz t... |
https://en.wikipedia.org/wiki/Great%20rhombidodecahedron | In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. It has 42 faces (30 squares, 12 decagrams), 120 edges and 60 vertices. Its vertex figure is a crossed quadrilateral.
Related polyhedra
It shares its vertex arrangement with the truncated great dodecahedron and the uniform com... |
https://en.wikipedia.org/wiki/Inverted%20snub%20dodecadodecahedron | In geometry, the inverted snub dodecadodecahedron (or vertisnub dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U60. It is given a Schläfli symbol sr{5/3,5}.
Cartesian coordinates
Cartesian coordinates for the vertices of an inverted snub dodecadodecahedron are all the even permutations of
(±2α, ±2... |
https://en.wikipedia.org/wiki/Great%20snub%20dodecicosidodecahedron | In geometry, the great snub dodecicosidodecahedron (or great snub dodekicosidodecahedron) is a nonconvex uniform polyhedron, indexed as U64. It has 104 faces (80 triangles and 24 pentagrams), 180 edges, and 60 vertices. It has Coxeter diagram . It has the unusual feature that its 24 pentagram faces occur in 12 coplanar... |
https://en.wikipedia.org/wiki/Great%20inverted%20snub%20icosidodecahedron | In geometry, the great inverted snub icosidodecahedron (or great vertisnub icosidodecahedron) is a uniform star polyhedron, indexed as U69. It is given a Schläfli symbol sr{,3}, and Coxeter-Dynkin diagram . In the book Polyhedron Models by Magnus Wenninger, the polyhedron is misnamed great snub icosidodecahedron, and v... |
https://en.wikipedia.org/wiki/Snub%20icosidodecadodecahedron | In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46. It has 104 faces (80 triangles, 12 pentagons, and 12 pentagrams), 180 edges, and 60 vertices. As the name indicates, it belongs to the family of snub polyhedra.
The circumradius of the snub icosidodecadodecahedron with uni... |
https://en.wikipedia.org/wiki/Small%20retrosnub%20icosicosidodecahedron | In geometry, the small retrosnub icosicosidodecahedron (also known as a retrosnub disicosidodecahedron, small inverted retrosnub icosicosidodecahedron, or retroholosnub icosahedron) is a nonconvex uniform polyhedron, indexed as . It has 112 faces (100 triangles and 12 pentagrams), 180 edges, and 60 vertices. It is give... |
https://en.wikipedia.org/wiki/Great%20retrosnub%20icosidodecahedron | In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as . It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices. It is given a Schläfli symbol
Cartesian coordinates
Cartesian coordinates for the vertices of a... |
https://en.wikipedia.org/wiki/M%C3%BCnchhausen%20trilemma | In epistemology, the Münchhausen trilemma is a thought experiment intended to demonstrate the theoretical impossibility of proving any truth, even in the fields of logic and mathematics, without appealing to accepted assumptions. If it is asked how any given proposition is known to be true, proof in support of that pro... |
https://en.wikipedia.org/wiki/Algarheim | Algarheim is a village in the municipality of Ullensaker, Norway. Its population (2005) is 371. Algarheim was from 2008 to 2013 and again from 2020 in Statistics Norway's settlement statistics counted as part of Jessheim. In the past there has been both a school, a camp, a post office, and a couple of larger farms conn... |
https://en.wikipedia.org/wiki/Curvature%20tensor | In differential geometry, the term curvature tensor may refer to:
the Riemann curvature tensor of a Riemannian manifold — see also Curvature of Riemannian manifolds;
the curvature of an affine connection or covariant derivative (on tensors);
the curvature form of an Ehresmann connection: see Ehresmann connection, co... |
https://en.wikipedia.org/wiki/Supporting%20hyperplane | In geometry, a supporting hyperplane of a set in Euclidean space is a hyperplane that has both of the following two properties:
is entirely contained in one of the two closed half-spaces bounded by the hyperplane,
has at least one boundary-point on the hyperplane.
Here, a closed half-space is the half-space that ... |
https://en.wikipedia.org/wiki/List%20of%20films%20about%20mathematicians | This is a list of feature films and documentaries that include mathematicians, scientists who use math or references to mathematicians.
About mathematics
Films where mathematics is central to the plot:
21 (2008) – A group of current and former MIT students, mostly mathematicians, and an algebra professor devise a ca... |
https://en.wikipedia.org/wiki/Convex%20geometry | In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory, game theo... |
https://en.wikipedia.org/wiki/Intrastat | Intrastat is the system for collecting information and producing statistics on the trade in goods between countries of the European Union (EU). It began operation on 1 January 1993, when it replaced customs declarations as the source of trade statistics within the EU. The requirements of Intrastat are similar in all me... |
https://en.wikipedia.org/wiki/Warren%20Ambrose | Warren Arthur Ambrose (October 25, 1914 – December 4, 1995) was Professor Emeritus of Mathematics at the Massachusetts Institute of Technology and at the University of Buenos Aires.
He was born in Virden, Illinois in 1914. He received his bachelor of science degree in 1935, his master's in 1936 and his Ph.D. in 1939, ... |
https://en.wikipedia.org/wiki/Split-biquaternion | In mathematics, a split-biquaternion is a hypercomplex number of the form
where w, x, y, and z are split-complex numbers and i, j, and k multiply as in the quaternion group. Since each coefficient w, x, y, z spans two real dimensions, the split-biquaternion is an element of an eight-dimensional vector space. Conside... |
https://en.wikipedia.org/wiki/Quadratic%20form%20%28statistics%29 | In multivariate statistics, if is a vector of random variables, and is an -dimensional symmetric matrix, then the scalar quantity is known as a quadratic form in .
Expectation
It can be shown that
where and are the expected value and variance-covariance matrix of , respectively, and tr denotes the trace of a ma... |
https://en.wikipedia.org/wiki/Hyperboloid%20structure | Hyperboloid structures are architectural structures designed using a hyperboloid in one sheet. Often these are tall structures, such as towers, where the hyperboloid geometry's structural strength is used to support an object high above the ground. Hyperboloid geometry is often used for decorative effect as well as str... |
https://en.wikipedia.org/wiki/Polynomial%20expansion | In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, b... |
https://en.wikipedia.org/wiki/Science%20in%20the%20Renaissance | During the Renaissance, great advances occurred in geography, astronomy, chemistry, physics, mathematics, manufacturing, anatomy and engineering. The collection of ancient scientific texts began in earnest at the start of the 15th century and continued up to the Fall of Constantinople in 1453, and the invention of prin... |
https://en.wikipedia.org/wiki/Sidney%20Siegel | Sidney Siegel (4 January 1916 in New York City – 29 November 1961) was an American psychologist who became especially well known for his work in popularizing non-parametric statistics for use in the behavioral sciences. He was a co-developer of the statistical test known as the Siegel–Tukey test.
In 1951 Siegel compl... |
https://en.wikipedia.org/wiki/Additive%20identity | In mathematics, the additive identity of a set that is equipped with the operation of addition is an element which, when added to any element in the set, yields . One of the most familiar additive identities is the number 0 from elementary mathematics, but additive identities occur in other mathematical structures whe... |
https://en.wikipedia.org/wiki/Morgan%20Prize | Distinguish from the De Morgan Medal awarded by the London Mathematical Society.
The Morgan Prize (full name Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student) is an annual award given to an undergraduate student in the US, Canada, or Mexico who demonstrates superior mat... |
https://en.wikipedia.org/wiki/Correlation%20integral | In chaos theory, the correlation integral is the mean probability that the states at two different times are close:
where is the number of considered states , is a threshold distance, a norm (e.g. Euclidean norm) and the Heaviside step function. If only a time series is available, the phase space can be reconstruc... |
https://en.wikipedia.org/wiki/Simon%20Rosenbaum%20%28statistician%29 | Simon Rosenbaum B.Sc. (born 1877) was a British academic active in the early twentieth century, whose major field of study was statistics. He is perhaps best known today for an editing a collection of essays entitled Against Home Rule: The Case for Union, which was first published in 1912 at the height of the crisis o... |
https://en.wikipedia.org/wiki/Markov%20additive%20process | In applied probability, a Markov additive process (MAP) is a bivariate Markov process where the future states depends only on one of the variables.
Definition
Finite or countable state space for J(t)
The process is a Markov additive process with continuous time parameter t if
is a Markov process
the conditional... |
https://en.wikipedia.org/wiki/Gamma%20process | Also known as the (Moran-)Gamma Process, the gamma process is a random process studied in mathematics, statistics, probability theory, and stochastics. The gamma process is a stochastic or random process consisting of independently distributed gamma distributions where represents the number of event occurrences from t... |
https://en.wikipedia.org/wiki/Islam%20in%20the%20Dominican%20Republic | Islam in the Dominican Republic is a minority religion. Accurate statistics of religious affiliation are difficult to calculate and there is a wide variation concerning the actual numerical amount. Although the majority of the population is Christian, Muslims have formed local organizations such as the Círculo Islámico... |
https://en.wikipedia.org/wiki/James%20Loudon | James Loudon (May 24, 1841 – December 29, 1916) was a Canadian professor of mathematics and physics and President of the University of Toronto from 1892 to 1906. He was the first Canadian-born professor at the University of Toronto.
Biography
Loudon was educated at the Toronto Grammar School, Upper Canada College, an... |
https://en.wikipedia.org/wiki/Higman%27s%20lemma | In mathematics, Higman's lemma states that the set of finite sequences over a finite alphabet, as partially ordered by the subsequence relation, is well-quasi-ordered. That is, if is an infinite sequence of words over some fixed finite alphabet, then there exist indices such that can be obtained from by deleting so... |
https://en.wikipedia.org/wiki/224%20%28number%29 | 224 (two hundred [and] twenty-four) is the natural number following 223 and preceding 225.
In mathematics
224 is a practical number,
and a sum of two positive cubes . It is also , making it one of the smallest numbers to be the sum of distinct positive cubes in more than one way.
224 is the smallest k with λ(k) = 2... |
https://en.wikipedia.org/wiki/Jack%20Baskin%20School%20of%20Engineering | The Baskin School of Engineering, known simply as Baskin Engineering, is the school of engineering at the University of California, Santa Cruz. It consists of six departments: Applied Mathematics, Biomolecular Engineering, Computational Media, Computer Science and Engineering, Electrical and Computer Engineering, and ... |
https://en.wikipedia.org/wiki/Limitation%20of%20size | In the philosophy of mathematics, specifically the philosophical foundations of set theory, limitation of size is a concept developed by Philip Jourdain and/or Georg Cantor to avoid Cantor's paradox. It identifies certain "inconsistent multiplicities", in Cantor's terminology, that cannot be sets because they are "too ... |
https://en.wikipedia.org/wiki/Overdispersion | In statistics, overdispersion is the presence of greater variability (statistical dispersion) in a data set than would be expected based on a given statistical model.
A common task in applied statistics is choosing a parametric model to fit a given set of empirical observations. This necessitates an assessment of the ... |
https://en.wikipedia.org/wiki/Moscow%20Mathematical%20Journal | The Moscow Mathematical Journal (MMJ) is a mathematics journal published quarterly by the Independent University of Moscow and the HSE Faculty of Mathematics and distributed by the American Mathematical Society. The journal published its first issue in 2001. Its editors-in-chief are Yulij Ilyashenko (Independent Univer... |
https://en.wikipedia.org/wiki/Relevance%20vector%20machine | In mathematics, a Relevance Vector Machine (RVM) is a machine learning technique that uses Bayesian inference to obtain parsimonious solutions for regression and probabilistic classification.
The RVM has an identical functional form to the support vector machine, but provides probabilistic classification.
It is actual... |
https://en.wikipedia.org/wiki/Weeks%20manifold | In mathematics, the Weeks manifold, sometimes called the Fomenko–Matveev–Weeks manifold, is a closed hyperbolic 3-manifold obtained by (5, 2) and (5, 1) Dehn surgeries on the Whitehead link. It has volume approximately equal to 0.942707… () and showed that it has the smallest volume of any closed orientable hyperbol... |
https://en.wikipedia.org/wiki/Lazar%20Lyusternik | Lazar Aronovich Lyusternik (also Lusternik, Lusternick, Ljusternik; ; 31 December 1899 – 22 July 1981) was a Soviet mathematician. He is famous for his work in topology and differential geometry, to which he applied the variational principle. Using the theory he introduced, together with Lev Schnirelmann, he proved the... |
https://en.wikipedia.org/wiki/Islam%20in%20Belize | Islam is one of the smallest minority faiths in Belize, which is a predominantly Christian country. The statistics for Islam in Belize estimate a total Muslim population of 577, representing 0.2 percent of the total population. There is an Islamic Mission of Belize (IMB) headquartered in Belize City. There is also pres... |
https://en.wikipedia.org/wiki/The%20World%20Economy%3A%20Historical%20Statistics | The World Economy: Historical Statistics is a landmark book by Angus Maddison. Published in 2004 by the OECD Development Centre, it studies the growth of populations and economies across the centuries: not just the world economy as it is now, but how it was in the past.
Among other things, it showed that Europe's gros... |
https://en.wikipedia.org/wiki/Dehn%20plane | In geometry, Max Dehn introduced two examples of planes, a semi-Euclidean geometry and a non-Legendrian geometry, that have infinitely many lines parallel to a given one that pass through a given point, but where the sum of the angles of a triangle is at least . A similar phenomenon occurs in hyperbolic geometry, exce... |
https://en.wikipedia.org/wiki/Independent%20Days%20Festival | Independent Days Festival was an Italian music festival that took place every September in Bologna. In June 2017, the festival was held in Monza.
About
History
Statistics:
20.000 revellers in 1999
40.000 revellers in 2000
40,000 revellers in 2001
The site
The Stages
Arena Parco Nord is the location of the main st... |
https://en.wikipedia.org/wiki/Islam%20in%20Antigua%20and%20Barbuda | The statistics for Islam in Antigua and Barbuda estimate a total Muslim population of about 200, representing 0.3 percent of the total population of 67,448. Most of the Muslims of the islands are Arabs of Syrian or Lebanese descent. There are two known Islamic organizations in St. John's, including the Antigua and Bar... |
https://en.wikipedia.org/wiki/Kadomtsev%E2%80%93Petviashvili%20equation | In mathematics and physics, the Kadomtsev–Petviashvili equation (often abbreviated as KP equation) is a partial differential equation to describe nonlinear wave motion. Named after Boris Borisovich Kadomtsev and Vladimir Iosifovich Petviashvili, the KP equation is usually written as
where . The above form shows that ... |
https://en.wikipedia.org/wiki/Convention%20Concerning%20Statistics%20of%20Wages%20and%20Hours%20of%20Work%2C%201938 | The Convention Concerning Statistics of Wages and Hours of Work, 1938 is an International Labour Organization Convention.
It was established in 1938:
Ratifications
As of 2013, the convention has been ratified by 34 states. Of the ratifying states, 20 have denounced the treaty by means of an automatic process that de... |
https://en.wikipedia.org/wiki/Coanalytic%20set | In the mathematical discipline of descriptive set theory, a coanalytic set is a set (typically a set of real numbers or more generally a subset of a Polish space) that is the complement of an analytic set (Kechris 1994:87). Coanalytic sets are also referred to as sets (see projective hierarchy).
References
Descrip... |
https://en.wikipedia.org/wiki/IMS%20Health | IMS Health was an American company that provided information, services and technology for the healthcare industry. IMS stood for Intercontinental Medical Statistics. It was the largest vendor of U.S. physician prescribing data. IMS Health was founded in 1954 by Bill Frohlich and David Dubow with Arthur Sackler having ... |
https://en.wikipedia.org/wiki/Light%20transport%20theory | Light transport theory deals with the mathematics behind calculating the energy transfers between media that affect visibility. This article is currently specific to light transport in rendering processes such as global illumination and HDRI.
Light
Light Transport
The amount of light transported is measured by flux ... |
https://en.wikipedia.org/wiki/Starred%20transform | In applied mathematics, the starred transform, or star transform, is a discrete-time variation of the Laplace transform, so-named because of the asterisk or "star" in the customary notation of the sampled signals.
The transform is an operator of a continuous-time function , which is transformed to a function in the f... |
https://en.wikipedia.org/wiki/K-theory%20%28physics%29 | In string theory, K-theory classification refers to a conjectured application of K-theory (in abstract algebra and algebraic topology) to superstrings, to classify the allowed Ramond–Ramond field strengths as well as the charges of stable D-branes.
In condensed matter physics K-theory has also found important applicat... |
https://en.wikipedia.org/wiki/Witt%27s%20theorem | "Witt's theorem" or "the Witt theorem" may also refer to the Bourbaki–Witt fixed point theorem of order theory.
In mathematics, Witt's theorem, named after Ernst Witt, is a basic result in the algebraic theory of quadratic forms: any isometry between two subspaces of a nonsingular quadratic space over a field k may b... |
https://en.wikipedia.org/wiki/Truncation%20%28geometry%29 | In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. The term originates from Kepler's names for the Archimedean solids.
Uniform truncation
In general any polyhedron (or polytope) can also be truncated with a degree of freedom as to how ... |
https://en.wikipedia.org/wiki/164%20%28number%29 | 164 (one hundred [and] sixty-four) is the natural number following 163 and preceding 165.
In mathematics
164 is a zero of the Mertens function.
In base 10, 164 is the smallest number that can be expressed as a concatenation of two squares in two different ways: as 1 concatenate 64 or 16 concatenate 4.
In astronomy
... |
https://en.wikipedia.org/wiki/Islam%20in%20Paraguay | The latest statistics for Islam in Paraguay estimate a total Muslim population of under 1,000 representing 0.02% of the population. But, another estimate puts the number of Muslim members in Paraguay at 35,000 people. Most of the Muslims are descendants of immigrants from Syria and Lebanon. The
major Islamic organizat... |
https://en.wikipedia.org/wiki/Automatic%20group | In mathematics, an automatic group is a finitely generated group equipped with several finite-state automata. These automata represent the Cayley graph of the group. That is, they can tell if a given word representation of a group element is in a "canonical form" and can tell if two elements given in canonical words d... |
https://en.wikipedia.org/wiki/M-estimator | In statistics, M-estimators are a broad class of extremum estimators for which the objective function is a sample average. Both non-linear least squares and maximum likelihood estimation are special cases of M-estimators. The definition of M-estimators was motivated by robust statistics, which contributed new types of ... |
https://en.wikipedia.org/wiki/Binary%20splitting | In mathematics, binary splitting is a technique for speeding up numerical evaluation of many types of series with rational terms. In particular, it can be used to evaluate hypergeometric series at rational points.
Method
Given a series
where pn and qn are integers, the goal of binary splitting is to compute integers ... |
https://en.wikipedia.org/wiki/Error%20term | In mathematics and statistics, an error term is an additive type of error. Common examples include:
errors and residuals in statistics, e.g. in linear regression
the error term in numerical integration
Error measures |
https://en.wikipedia.org/wiki/Mathematics%20Magazine | Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America. Its intended audience is teachers of collegiate mathematics, especially at the junior/senior level, and their students. It is explicitly a journal of mathematics rather than pedagogy. Rather than articles in the terse "... |
https://en.wikipedia.org/wiki/Singular%20point%20of%20a%20curve | In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on the type of curve being studied.
Algebraic curves in the plane
Algebraic curves in the plane may be defined as the set of points satisfying an equati... |
https://en.wikipedia.org/wiki/Orbit%20method | In mathematics, the orbit method (also known as the Kirillov theory, the method of coadjoint orbits and by a few similar names) establishes a correspondence between irreducible unitary representations of a Lie group and its coadjoint orbits: orbits of the action of the group on the dual space of its Lie algebra. The th... |
https://en.wikipedia.org/wiki/Scottish%20Book | The Scottish Book () was a thick notebook used by mathematicians of the Lwów School of Mathematics in Poland for jotting down problems meant to be solved. The notebook was named after the "Scottish Café" where it was kept.
Originally, the mathematicians who gathered at the cafe would write down the problems and equati... |
https://en.wikipedia.org/wiki/Berlin%20Papyrus%206619 | The Berlin Papyrus 6619, simply called the Berlin Papyrus when the context makes it clear, is one of the primary sources of ancient Egyptian mathematics. One of the two mathematics problems on the Papyrus may suggest that the ancient Egyptians knew the Pythagorean theorem.
Description, dating, and provenance
The Berli... |
https://en.wikipedia.org/wiki/AP%20Calculus | Advanced Placement (AP) Calculus (also known as AP Calc, Calc AB / Calc BC or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and exams offered by the American nonprofit organization College Board. AP Calculus AB covers basic introductions to limits, derivatives, and integrals. AP Calculus ... |
https://en.wikipedia.org/wiki/Islam%20in%20Nicaragua | According to 2007 statistics released by the U.S. Department of State concerning Islam in Nicaragua, there are approximately 1,200 to 1,500 Muslims, mostly Sunnis who are resident aliens or naturalized citizens from Palestine, Libya, and Iran or natural-born Nicaraguan citizens born to both of the two groups. The Islam... |
https://en.wikipedia.org/wiki/Victor%20Zalgaller | Victor (Viktor) Abramovich Zalgaller (; ; 25 December 1920 – 2 October 2020) was a Russian-Israeli mathematician in the fields of geometry and optimization. He is best known for the results he achieved on convex polyhedra, linear and dynamic programming, isoperimetry, and differential geometry.
Biography
Zalgaller was... |
https://en.wikipedia.org/wiki/Catamorphism | In category theory, the concept of catamorphism (from the Ancient Greek: "downwards" and "form, shape") denotes the unique homomorphism from an initial algebra into some other algebra.
In functional programming, catamorphisms provide generalizations of folds of lists to arbitrary algebraic data types, which can be d... |
https://en.wikipedia.org/wiki/Holbrook%20Working | Holbrook Working (February 5, 1895 – October 5, 1985) was an American professor of economics and statistics at Stanford University's Food Research Institute known for his contributions on hedging, on the theory of futures prices, on an early theory of market maker behavior, and on the theory of storage (including the W... |
https://en.wikipedia.org/wiki/D50%20%28radiotherapy%29 | D50 in medicine is the half-maximal dose: the dose that produces 50% of the maximum response. It may specifically refer to the radiation dose required to achieve a 50% tumor control probability.
See also
, is the dose required to kill half the members of a tested population after a specified test duration.
Referen... |
https://en.wikipedia.org/wiki/Urchin%20%28software%29 | Urchin was a web statistics analysis program that was developed by Urchin Software Corporation. Urchin analyzed web server log file content and displayed the traffic information on that website based upon the log data. Sales of Urchin products ended on March 28, 2012.
Urchin software could be run in two different data... |
https://en.wikipedia.org/wiki/Particular%20values%20of%20the%20gamma%20function | The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at rational points in general. Other fractional arguments can be approximated through efficient infinite pr... |
https://en.wikipedia.org/wiki/Interval%20vector | In musical set theory, an interval vector is an array of natural numbers which summarize the intervals present in a set of pitch classes. (That is, a set of pitches where octaves are disregarded.) Other names include: ic vector (or interval-class vector), PIC vector (or pitch-class interval vector) and APIC vector (o... |
https://en.wikipedia.org/wiki/Jimena%20de%20la%20Frontera | Jimena de la Frontera is a historic town and municipality located in the province of Cádiz, Spain. According to estimates made by the National Statistics Institute of Spain (INE), the municipality has a population of 6,707 inhabitants as of 2020. The municipality contains three major towns, Jimena de la Frontera, Los Á... |
https://en.wikipedia.org/wiki/Andrew%20M.%20Gleason | Andrew Mattei Gleason (November 4, 1921October 17, 2008) was an American mathematician who made fundamental contributions to widely varied areas of mathematics, including the solution of Hilbert's fifth problem, and was a leader in reform and innovation in teaching at all levels.<ref
name="mactutor"></ref> Gleason's t... |
https://en.wikipedia.org/wiki/Oren%20Patashnik | Oren Patashnik (born 1954) is an American computer scientist. He is notable for co-creating BibTeX, and co-writing Concrete Mathematics: A Foundation for Computer Science. He is a researcher at the Center for Communications Research, La Jolla, and lives nearby in San Diego. Oren and his wife Amy have three children, J... |
https://en.wikipedia.org/wiki/Felix%20Otto%20%28mathematician%29 | Felix Otto (born 19 May 1966) is a German mathematician.
Biography
He studied mathematics at the University of Bonn, finishing his PhD thesis in 1993 under the supervision of Stephan Luckhaus.
After postdoctoral studies at the Courant Institute of Mathematical Sciences of New York University and at Carnegie Mellon Un... |
https://en.wikipedia.org/wiki/Auxiliary%20field | In physics, and especially quantum field theory, an auxiliary field is one whose equations of motion admit a single solution. Therefore, the Lagrangian describing such a field contains an algebraic quadratic term and an arbitrary linear term, while it contains no kinetic terms (derivatives of the field):
The equation... |
https://en.wikipedia.org/wiki/Religion%20in%20North%20Korea | There are no known official statistics of religions in North Korea. Officially, North Korea is an atheist state, although its constitution guarantees free exercise of religion, provided that religious practice does not introduce foreign forces, harm the state, or harm the existing social order. Based on estimates from ... |
https://en.wikipedia.org/wiki/Normal%20sequence | In mathematics, the term normal sequence has multiple meanings, depending on the area of specialty. In general, it is a sequence with "nice" properties.
In set theory, a normal sequence is one that is continuous and strictly increasing.
In probability theory, a normal number is a number whose representation is a n... |
https://en.wikipedia.org/wiki/Scale%20factor%20%28computer%20science%29 | In computer science, a scale factor is a number used as a multiplier to represent a number on a different scale, functioning similarly to an exponent in mathematics. A scale factor is used when a real-world set of numbers needs to be represented on a different scale in order to fit a specific number format. Although us... |
https://en.wikipedia.org/wiki/Teflic%20acid | Teflic acid is the chemical compound with the formula . This strong acid is related to orthotelluric acid, . Teflic acid has a slightly distorted octahedral geometry.
Preparation
Teflic acid was accidentally discovered by Engelbrecht and Sladky. Their synthesis did not yield the anticipated telluryl fluoride , but a m... |
https://en.wikipedia.org/wiki/Oval%20%28projective%20plane%29 | In projective geometry an oval is a point set in a plane that is defined by incidence properties. The standard examples are the nondegenerate conics. However, a conic is only defined in a pappian plane, whereas an oval may exist in any type of projective plane. In the literature, there are many criteria which imply t... |
https://en.wikipedia.org/wiki/Metre%20per%20hour | Metre per hour (American spelling: meter per hour) is a metric unit of both speed (scalar) and velocity (Vector (geometry)). Its symbol is m/h or m·h−1 (not to be confused with the imperial unit symbol mph). By definition, an object travelling at a speed of 1 m/h for an hour would move 1 metre.
The term is rarely used... |
https://en.wikipedia.org/wiki/Poisson%E2%80%93Lie%20group | In mathematics, a Poisson–Lie group is a Poisson manifold that is also a Lie group, with the group multiplication being compatible with the Poisson algebra structure on the manifold.
The infinitesimal counterpart of a Poisson–Lie group is a Lie bialgebra, in analogy to Lie algebras as the infinitesimal counterparts of... |
https://en.wikipedia.org/wiki/Denjoy%27s%20theorem%20on%20rotation%20number | In mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of a special kind, namely an irrational rotation. proved the theorem in the course of his topological classification of homeomorphisms of the circle. He also gave an exam... |
https://en.wikipedia.org/wiki/Lebesgue%27s%20density%20theorem | In mathematics, Lebesgue's density theorem states that for any Lebesgue measurable set , the "density" of A is 0 or 1 at almost every point in . Additionally, the "density" of A is 1 at almost every point in A. Intuitively, this means that the "edge" of A, the set of points in A whose "neighborhood" is partially in A... |
https://en.wikipedia.org/wiki/Locally%20integrable%20function | In mathematics, a locally integrable function (sometimes also called locally summable function) is a function which is integrable (so its integral is finite) on every compact subset of its domain of definition. The importance of such functions lies in the fact that their function space is similar to spaces, but its me... |
https://en.wikipedia.org/wiki/F.%20Burton%20Jones | Floyd Burton Jones (November 22, 1910, Cisco, Texas – April 15, 1999, Santa Barbara, California) was an American mathematician, active mainly in topology.
Jones's father was a pharmacist and local politician in Shackelford County, Texas. As the valedictorian of his high school class, Jones earned a Regents' Scholarshi... |
https://en.wikipedia.org/wiki/Basketball%20statistics | Statistics in basketball are kept to evaluate a player's or a team's performance.
Examples
Examples of basketball statistics include:
GM, GP; GS: games played; games started
PTS: points
FGM, FGA, FG%: field goals made, attempted and percentage
FTM, FTA, FT%: free throws made, attempted and percentage
3FGM, 3FGA,... |
https://en.wikipedia.org/wiki/List%20of%20Chelsea%20F.C.%20records%20and%20statistics | Chelsea Football Club are an English professional association football club based in Fulham, London. The club was established in 1905 and plays its home games at Stamford Bridge.
Domestically, Chelsea have won six top-flight titles, eight FA Cups and five League Cups. In international competitions, they have won two U... |
https://en.wikipedia.org/wiki/Ovoid%20%28projective%20geometry%29 | In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension . Simple examples in a real projective space are hyperspheres (quadrics). The essential geometric properties of an ovoid are:
Any line intersects in at most 2 points,
The tangents at a point cover a hyperplane (... |
https://en.wikipedia.org/wiki/2-valued%20morphism | In mathematics, a 2-valued morphism is a homomorphism that sends a Boolean algebra B onto the two-element Boolean algebra 2 = {0,1}. It is essentially the same thing as an ultrafilter on B, and, in a different way, also the same things as a maximal ideal of B. 2-valued morphisms have also been proposed as a tool for un... |
https://en.wikipedia.org/wiki/Method%20of%20matched%20asymptotic%20expansions | In mathematics, the method of matched asymptotic expansions is a common approach to finding an accurate approximation to the solution to an equation, or system of equations. It is particularly used when solving singularly perturbed differential equations. It involves finding several different approximate solutions, eac... |
https://en.wikipedia.org/wiki/Aleksei%20Pogorelov | Aleksei Vasil'evich Pogorelov (, ; March 2, 1919 – December 17, 2002), was a Soviet mathematician. Specialist in the field of convex and differential geometry, geometric PDEs and elastic shells theory, the author of the novel school textbook on geometry and university textbooks on analytical geometry, on differential ... |
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