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https://en.wikipedia.org/wiki/Carsten%20Thomassen%20%28mathematician%29 | Carsten Thomassen (born August 22, 1948 in Grindsted) is a Danish mathematician. He has been a Professor of Mathematics at the Technical University of Denmark since 1981, and since 1990 a member of the Royal Danish Academy of Sciences and Letters. His research concerns discrete mathematics and more specifically graph ... |
https://en.wikipedia.org/wiki/Soddy%27s%20hexlet | In geometry, Soddy's hexlet is a chain of six spheres (shown in grey in Figure 1), each of which is tangent to both of its neighbors and also to three mutually tangent given spheres. In Figure 1, the three spheres are the red inner sphere and two spheres (not shown) above and below the plane the centers of the hexlet ... |
https://en.wikipedia.org/wiki/P-rep | In statistical hypothesis testing, p-rep or prep has been proposed as a statistical alternative to the classic p-value. Whereas a p-value is the probability of obtaining a result under the null hypothesis, p-rep purports to compute the probability of replicating an effect. The derivation of p-rep contained significant ... |
https://en.wikipedia.org/wiki/Composition%20of%20relations | In the mathematics of binary relations, the composition of relations is the forming of a new binary relation from two given binary relations R and S. In the calculus of relations, the composition of relations is called relative multiplication, and its result is called a relative product. Function composition is the sp... |
https://en.wikipedia.org/wiki/Levinson%27s%20inequality | In mathematics, Levinson's inequality is the following inequality, due to Norman Levinson, involving positive numbers. Let and let be a given function having a third derivative on the range , and such that
for all . Suppose and for . Then
The Ky Fan inequality is the special case of Levinson's inequal... |
https://en.wikipedia.org/wiki/Census%20in%20Pakistan | The Census in Pakistan (), is a decennial census and a descriptive count of Pakistan's population on Census Day, and of their dwellings, conducted and supervised by the Pakistan Bureau of Statistics. The 2017 Census in Pakistan marks the first census to take place in Pakistan since 1998. The most recent census was the ... |
https://en.wikipedia.org/wiki/Manihi%20Airport | Manihi Airport is an airport serving Manihi, an atoll in the Tuamotu archipelago in French Polynesia. It is located 3 km northwest of the village of Paeva.
Airlines and destinations
Statistics
References
External links
Airports in French Polynesia |
https://en.wikipedia.org/wiki/Morphism%20of%20schemes | In algebraic geometry, a morphism of schemes generalizes a morphism of algebraic varieties just as a scheme generalizes an algebraic variety. It is, by definition, a morphism in the category of schemes.
A morphism of algebraic stacks generalizes a morphism of schemes.
Definition
By definition, a morphism of schemes ... |
https://en.wikipedia.org/wiki/Central%20Statistics%20Office%20%28India%29 | The Central Statistics Office (CSO) is a governmental agency in India under the Ministry of Statistics and Programme Implementation responsible for co-ordination of statistical activities in India, and evolving and maintaining statistical standards. It has a Graphical Unit. The CSO is located in Delhi. Some portion of... |
https://en.wikipedia.org/wiki/Atkin%E2%80%93Lehner%20theory | In mathematics, Atkin–Lehner theory is part of the theory of modular forms describing when they arise at a given integer level N in such a way that the theory of Hecke operators can be extended to higher levels.
Atkin–Lehner theory is based on the concept of a newform, which is a cusp form 'new' at a given level N, w... |
https://en.wikipedia.org/wiki/Gabriel%20Kron | Gabriel Kron (1901 – 1968) was a Hungarian American electrical engineer who promoted the use of methods of linear algebra, multilinear algebra, and differential geometry in the field. His method of system decomposition and solution called Diakoptics is still influential today. Though he published widely, his methods we... |
https://en.wikipedia.org/wiki/Nicolai%20Reshetikhin | Nicolai Yuryevich Reshetikhin (, born October 10, 1958, in Leningrad, Soviet Union) is a mathematical physicist, currently a professor of mathematics at Tsinghua University, China and a professor of mathematical physics at the University of Amsterdam (Korteweg-de Vries Institute for Mathematics). He is also a professor... |
https://en.wikipedia.org/wiki/Comparable | Comparable may refer to:
Comparability, in mathematics
Comparative, in grammar, a word that denotes the degree by which an entity has a property greater or less in extent than another
See also
Incomparable (disambiguation) |
https://en.wikipedia.org/wiki/List%20of%20Aston%20Villa%20F.C.%20records%20and%20statistics | Aston Villa Football Club are an English professional association football club based in Aston, Birmingham, who currently play in the Premier League. The club was founded in 1874 and were founding members of the Football League in 1888, as well as the Premier League in 1992. They are one of the oldest football clubs in... |
https://en.wikipedia.org/wiki/Prime%20triplet | In number theory, a prime triplet is a set of three prime numbers in which the smallest and largest of the three differ by 6. In particular, the sets must have the form or . With the exceptions of and , this is the closest possible grouping of three prime numbers, since one of every three sequential odd numbers is a ... |
https://en.wikipedia.org/wiki/Rhinos%20Milano | {
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}The Rhinos Milano are an American football team based in Mil... |
https://en.wikipedia.org/wiki/Sinkov%20statistic | Sinkov statistics, also known as log-weight statistics, is a specialized field of statistics that was developed by Abraham Sinkov, while working for the small Signal Intelligence Service organization, the primary mission of which was to compile codes and ciphers for use by the U.S. Army. The mathematics involved includ... |
https://en.wikipedia.org/wiki/Minkowski%E2%80%93Steiner%20formula | In mathematics, the Minkowski–Steiner formula is a formula relating the surface area and volume of compact subsets of Euclidean space. More precisely, it defines the surface area as the "derivative" of enclosed volume in an appropriate sense.
The Minkowski–Steiner formula is used, together with the Brunn–Minkowski the... |
https://en.wikipedia.org/wiki/Brunn%E2%80%93Minkowski%20theorem | In mathematics, the Brunn–Minkowski theorem (or Brunn–Minkowski inequality) is an inequality relating the volumes (or more generally Lebesgue measures) of compact subsets of Euclidean space. The original version of the Brunn–Minkowski theorem (Hermann Brunn 1887; Hermann Minkowski 1896) applied to convex sets; the gene... |
https://en.wikipedia.org/wiki/Beta%20wavelet | Continuous wavelets of compact support alpha can be built, which are related to the beta distribution. The process is derived from probability distributions using blur derivative. These new wavelets have just one cycle, so they are termed unicycle wavelets. They can be viewed as a soft variety of Haar wavelets whose ... |
https://en.wikipedia.org/wiki/Jung%27s%20theorem | In geometry, Jung's theorem is an inequality between the diameter of a set of points in any Euclidean space and the radius of the minimum enclosing ball of that set. It is named after Heinrich Jung, who first studied this inequality in 1901. Algorithms also exist to solve the smallest-circle problem explicitly.
Statem... |
https://en.wikipedia.org/wiki/Harish-Chandra%20Research%20Institute | The Harish-Chandra Research Institute (HRI) is an institution dedicated to research in mathematics and theoretical physics, located in Prayagraj, Uttar Pradesh in India. Established in 1975, HRI offers masters and doctoral program in affiliation with the Homi Bhabha National Institute.
HRI has a residential campus in ... |
https://en.wikipedia.org/wiki/Lambda%20function | Lambda function may refer to:
Mathematics
Dirichlet lambda function, λ(s) = (1 – 2−s)ζ(s) where ζ is the Riemann zeta function
Liouville function, λ(n) = (–1)Ω(n)
Von Mangoldt function, Λ(n) = log p if n is a positive power of the prime p
Modular lambda function, λ(τ), a highly symmetric holomorphic function on th... |
https://en.wikipedia.org/wiki/Metacyclic%20group | In group theory, a metacyclic group is an extension of a cyclic group by a cyclic group. That is, it is a group G for which there is a short exact sequence
where H and K are cyclic. Equivalently, a metacyclic group is a group G having a cyclic normal subgroup N, such that the quotient G/N is also cyclic.
Properties
... |
https://en.wikipedia.org/wiki/Brauer%E2%80%93Siegel%20theorem | In mathematics, the Brauer–Siegel theorem, named after Richard Brauer and Carl Ludwig Siegel, is an asymptotic result on the behaviour of algebraic number fields, obtained by Richard Brauer and Carl Ludwig Siegel. It attempts to generalise the results known on the class numbers of imaginary quadratic fields, to a more ... |
https://en.wikipedia.org/wiki/Hypercycle%20%28geometry%29 | In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight line (its axis).
Given a straight line and a point not on , one can construct a hypercycle by taking all points on the same side of as , with perpendicular distance... |
https://en.wikipedia.org/wiki/Hypercycle | Hypercycle may refer to:
Hypercycle (chemistry), a kind of reaction network prominent in a theory of the self-organization of matter
Hypercycle (geometry), a curve in hyperbolic space whose points have the same orthogonal distance from a given straight line |
https://en.wikipedia.org/wiki/Mathematical%20Correspondent | The Mathematical Correspondent was the first American "specialized scientific journal" and the first American mathematics journal, established in 1804, under the editorial guidance of George Baron. The journal published an essay by Robert Adrian which was the first to introduce Diophantine analysis in the United State... |
https://en.wikipedia.org/wiki/List%20of%20Atlas%20launches%20%282000%E2%80%932009%29 |
Notable missions
Mars Reconnaissance Orbiter (MRO)
New Horizons
Lunar Reconnaissance Orbiter (LRO)
Launch statistics
Rocket configurations
Launch sites
Launch outcomes
Launch history
Photo gallery
References
Atlas |
https://en.wikipedia.org/wiki/Bayesian%20multivariate%20linear%20regression | In statistics, Bayesian multivariate linear regression is a
Bayesian approach to multivariate linear regression, i.e. linear regression where the predicted outcome is a vector of correlated random variables rather than a single scalar random variable. A more general treatment of this approach can be found in the articl... |
https://en.wikipedia.org/wiki/Continuous%20group%20action | In topology, a continuous group action on a topological space X is a group action of a topological group G that is continuous: i.e.,
is a continuous map. Together with the group action, X is called a G-space.
If is a continuous group homomorphism of topological groups and if X is a G-space, then H can act on X by re... |
https://en.wikipedia.org/wiki/Conjugate%20%28square%20roots%29 | In mathematics, the conjugate of an expression of the form is provided that does not appear in and . One says also that the two expressions are conjugate.
In particular, the two solutions of a quadratic equation are conjugate, as per the in the quadratic formula .
Complex conjugation is the special case where th... |
https://en.wikipedia.org/wiki/Nested%20intervals | In mathematics, a sequence of nested intervals can be intuitively understood as an ordered collection of intervals on the real number line with natural numbers as an index. In order for a sequence of intervals to be considered nested intervals, two conditions have to be met:
Every interval in the sequence is contai... |
https://en.wikipedia.org/wiki/Cone%20%28category%20theory%29 | In category theory, a branch of mathematics, the cone of a functor is an abstract notion used to define the limit of that functor. Cones make other appearances in category theory as well.
Definition
Let F : J → C be a diagram in C. Formally, a diagram is nothing more than a functor from J to C. The change in terminol... |
https://en.wikipedia.org/wiki/Dorian%20M.%20Goldfeld | Dorian Morris Goldfeld (born January 21, 1947) is an American mathematician working in analytic number theory and automorphic forms at Columbia University.
Professional career
Goldfeld received his B.S. degree in 1967 from Columbia University. His doctoral dissertation, entitled "Some Methods of Averaging in the Analy... |
https://en.wikipedia.org/wiki/Tacnode | In classical algebraic geometry, a tacnode (also called a point of osculation or double cusp) is a kind of singular point of a curve. It is defined as a point where two (or more) osculating circles to the curve at that point are tangent. This means that two branches of the curve have ordinary tangency at the double poi... |
https://en.wikipedia.org/wiki/Locally%20simply%20connected%20space | In mathematics, a locally simply connected space is a topological space that admits a basis of simply connected sets. Every locally simply connected space is also locally path-connected and locally connected.
The circle is an example of a locally simply connected space which is not simply connected. The Hawaiian earri... |
https://en.wikipedia.org/wiki/Public%20library%20ratings | There are several national systems for assessing, evaluating, or otherwise rating the quality of public libraries.
United States
Basic library statistics (not rankings) were initially maintained by the National Center for Educational Statistics; that body continues to collect data for academic libraries, but administr... |
https://en.wikipedia.org/wiki/Hyperconnected%20space | In the mathematical field of topology, a hyperconnected space or irreducible space is a topological space X that cannot be written as the union of two proper closed sets (whether disjoint or non-disjoint). The name irreducible space is preferred in algebraic geometry.
For a topological space X the following conditions... |
https://en.wikipedia.org/wiki/1979%20Machchhu%20dam%20failure | {
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"properties": { "marker-symbol": "dam", "marker-size": "small", "title": "Machhu dam" },
"geometry": { "type": "Point", "coordinates": [70.865833, 22.763889] }
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"type": "Feature",
"properties": { "marker-symbol": "town", "marker-... |
https://en.wikipedia.org/wiki/%C3%89tienne%20Ghys | Étienne Ghys (born 29 December 1954) is a French mathematician. His research focuses mainly on geometry and dynamical systems, though his mathematical interests are broad. He also expresses much interest in the historical development of mathematical ideas, especially the contributions of Henri Poincaré.
Alumnus of the... |
https://en.wikipedia.org/wiki/Steinmetz%20solid | In geometry, a Steinmetz solid is the solid body obtained as the intersection of two or three cylinders of equal radius at right angles. Each of the curves of the intersection of two cylinders is an ellipse.
The intersection of two cylinders is called a bicylinder. Topologically, it is equivalent to a square hosohedro... |
https://en.wikipedia.org/wiki/AJM | AJM may refer to:
Distinguished Young Women, formerly known as America's Junior Miss
Air Jamaica (ICAO airline designator AJM)
Abrasive jet machining
American Journal of Mathematics
Association des Juristes Maliennes, an association of women jurists in Mali
Australian Jazz Museum |
https://en.wikipedia.org/wiki/W.%20R.%20%28Red%29%20Alford | William Robert "Red" Alford, Ph.D, J.D. (July 21, 1937 – May 29, 2003) was an American mathematician and lawyer, who was best known for his work in the fields of topology and number theory.
Personal life
Alford was born in Canton, Mississippi, to parents Clayton and Pennington Alford. After graduating high school, Al... |
https://en.wikipedia.org/wiki/Pierre%20de%20Fermat | Pierre de Fermat (; between 31 October and 6 December 1607 – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his discovery of an original method of finding the greatest a... |
https://en.wikipedia.org/wiki/Orbit%20portrait | In mathematics, an orbit portrait is a combinatorial tool used in complex dynamics for understanding the behavior of one-complex dimensional quadratic maps.
In simple words one can say that it is :
a list of external angles for which rays land on points of that orbit
graph showing above list
Definition
Given a qua... |
https://en.wikipedia.org/wiki/Beckman%E2%80%93Quarles%20theorem | In geometry, the Beckman–Quarles theorem states that if a transformation of the Euclidean plane or a higher-dimensional Euclidean space preserves unit distances, then it preserves all Euclidean distances. Equivalently, every homomorphism from the unit distance graph of the plane to itself must be an isometry of the pla... |
https://en.wikipedia.org/wiki/Dispersion%20point | In topology, a dispersion point or explosion point is a point in a topological space the removal of which leaves the space highly disconnected.
More specifically, if X is a connected topological space containing the point p and at least two other points, p is a dispersion point for X if and only if is totally disconn... |
https://en.wikipedia.org/wiki/5-orthoplex | In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.
It has two constructed forms, the first being regular with Schläfli symbol {33,4}, and the second with alternately labeled (checkerbo... |
https://en.wikipedia.org/wiki/Iran%20Bioinformatics%20Center | Iran Bioinformatics Center (IBC) is the only academic center in Iran working on Bioinformatics. Although there are some independent research groups such as Bioinformatics and Biomathematics Unit in Mazandaran University of Medical Sciences working on Bioinformatics but IBC is a part of Institute of Biochemistry and Bio... |
https://en.wikipedia.org/wiki/Division%20No.%204%2C%20Newfoundland%20and%20Labrador | Census Division No. 4 is a Statistics Canada statistical division that comprises the areas of the province of Newfoundland and Labrador called St. George's. It covers a land area of 7087.65 km² and had a population of 20,387 at the 2016 census.
Towns
Cape St. George
Gallants
Kippens
Lourdes
Port au Port East
Port au P... |
https://en.wikipedia.org/wiki/One-sided | One-sided may refer to:
Biased
One-sided argument, a logical fallacy
In calculus, one-sided limit, either of the two limits of a function of a real variable as approaches a specified point
One-sided (algebra)
One-sided overhand bend, simple method of joining two cords or threads together
One-sided test, a sta... |
https://en.wikipedia.org/wiki/Dudley%20E.%20Littlewood | Dudley Ernest Littlewood (7 September 1903, London –
6 October 1979, Llandudno) was a British mathematician known for his work in group representation theory.
He read mathematics at Trinity College, Cambridge, where his tutor was John Edensor Littlewood (they were not related). He was a lecturer at University College... |
https://en.wikipedia.org/wiki/Archibald%20Read%20Richardson | Archibald Read Richardson FRS (21 August 1881 – 4 November 1954) was a British mathematician known for his work in algebra.
Career
Richardson collaborated with Dudley E. Littlewood on invariants and group representation theory. They introduced the immanant of a matrix, studied Schur functions and developed the Little... |
https://en.wikipedia.org/wiki/George%20Lilley | George Lilley may refer to:
George L. Lilley (1859–1909), United States Representative and Governor of Connecticut
George W. Lilley (1850–1904), American academic, professor of mathematics and university president |
https://en.wikipedia.org/wiki/Hall%20algebra | In mathematics, the Hall algebra is an associative algebra with a basis corresponding to isomorphism classes of finite abelian p-groups. It was first discussed by but forgotten until it was rediscovered by , both of whom published no more than brief summaries of their work. The Hall polynomials are the structure const... |
https://en.wikipedia.org/wiki/Division%20No.%204%2C%20Subdivision%20B%2C%20Newfoundland%20and%20Labrador | Division No. 4, Subd. B is an unorganized subdivision on St. George's Bay on the island of Newfoundland in Newfoundland and Labrador, Canada. It is in Division No. 4.
According to the 2016 Statistics Canada Census:
Population: 1174
% Change (2011 to 2016): -9.6%
Dwellings: 948
Area: 1847.38 km2
Density: 0.6 people/km2
... |
https://en.wikipedia.org/wiki/James%20Munkres | James Raymond Munkres (born August 18, 1930) is a Professor Emeritus of mathematics at MIT and the author of several texts in the area of topology, including Topology (an undergraduate-level text), Analysis on Manifolds, Elements of Algebraic Topology, and Elementary Differential Topology. He is also the author of Elem... |
https://en.wikipedia.org/wiki/Monotone%20likelihood%20ratio | A monotonic likelihood ratio in distributions and
The ratio of the density functions above is monotone in the parameter , so satisfies the monotone likelihood ratio property.
In statistics, the monotone likelihood ratio property is a property of the ratio of two probability density functions (PDFs). Formally, dist... |
https://en.wikipedia.org/wiki/Division%20No.%204%2C%20Subdivision%20C%2C%20Newfoundland%20and%20Labrador | Division No. 4, Subd. C is an unorganized subdivision on St. George's Bay on the island of Newfoundland in Newfoundland and Labrador, Canada. It is in Division No. 4.
According to the 2016 Statistics Canada Census:
Population: 747
% Change (2011 to 2016): 2.6
Dwellings: 490
Area: 2378.34 km2
Density: 0.3 people/km2
Di... |
https://en.wikipedia.org/wiki/Narrowing | Narrowing may refer to:
Narrowing (computer science), a type of algorithm for solving equations between symbolic expressions
Narrowing of algebraic value sets, a method for the elimination of values from a solution set which are inconsistent with the equations being solved
Narrowing (historical linguistics), a type of ... |
https://en.wikipedia.org/wiki/Primon%20gas | In mathematical physics, the primon gas or Riemann gas discovered by Bernard Julia is a model illustrating correspondences between number theory and methods in quantum field theory, statistical mechanics and dynamical systems such as the Lee-Yang theorem. It is a quantum field theory of a set of non-interacting partic... |
https://en.wikipedia.org/wiki/Parry%E2%80%93Daniels%20map | In mathematics, the Parry–Daniels map is a function studied in the context of dynamical systems. Typical questions concern the existence of an invariant or ergodic measure for the map.
It is named after the English mathematician Bill Parry and the British statistician Henry Daniels, who independently studied the map i... |
https://en.wikipedia.org/wiki/Hilbert%20dimension | In mathematics the term Hilbert dimension may refer to:
Hilbert space dimension
Hilbert dimension in ring theory, see Hilbert's basis theorem
See also
Hilbert series and Hilbert polynomial |
https://en.wikipedia.org/wiki/Hilbert%20algebra | In mathematics, Hilbert algebras and left Hilbert algebras occur in the theory of von Neumann algebras in:
Tomita–Takesaki theory#Left Hilbert algebras
Von Neumann algebras |
https://en.wikipedia.org/wiki/List%20of%20Tottenham%20Hotspur%20F.C.%20records%20and%20statistics | Tottenham Hotspur are an English association football club based in Tottenham, London. They are among the most successful clubs in English football, with 26 league and cup victories.
Club records
Record wins
Record win: 13–2 v Crewe Alexandra, FA Cup, 3 February 1960
Record league victory: 9–0 v Bristol Rovers, Divis... |
https://en.wikipedia.org/wiki/Ronald%20Gillespie | Ronald James Gillespie, (August 21, 1924 – February 26, 2021) was a British chemist specializing in the field of molecular geometry, who arrived in Canada after accepting an offer that included his own laboratory with new equipment, which post-World War II Britain could not provide. He was responsible for establishing... |
https://en.wikipedia.org/wiki/Noise%20margin | In electrical engineering, noise margin is the maximum voltage amplitude of extraneous signal that can be algebraically added to the noise-free worst-case input level without causing the output voltage to deviate from the allowable logic voltage level. It is commonly used in at least two contexts as follows:
In commun... |
https://en.wikipedia.org/wiki/Spouge%27s%20approximation | In mathematics, Spouge's approximation is a formula for computing an approximation of the gamma function. It was named after John L. Spouge, who defined the formula in a 1994 paper. The formula is a modification of Stirling's approximation, and has the form
where a is an arbitrary positive integer and the coefficients... |
https://en.wikipedia.org/wiki/1994%20in%20heavy%20metal%20music | This is a timeline documenting the events of heavy metal music in the year 1994.
Newly formed bands
20 Dead Flower Children
36 Crazyfists
Abaddon Incarnate
Abscess
Abstrakt Algebra
The Abyss
Agoraphobic Nosebleed
Amen
Antaeus
Aurora Borealis
Behexen
Blindside
Blut Aus Nord
Coalesce
Colour Haze
Corrupted
Craft
Cr... |
https://en.wikipedia.org/wiki/P-matrix | In mathematics, a -matrix is a complex square matrix with every principal minor is positive. A closely related class is that of -matrices, which are the closure of the class of -matrices, with every principal minor 0.
Spectra of -matrices
By a theorem of Kellogg, the eigenvalues of - and - matrices are bounded away... |
https://en.wikipedia.org/wiki/1993%20National%20Scout%20Jamboree | The 1993 National Scout Jamboree was the 13th national Scout jamboree of the Boy Scouts of America and was held from August 4-10, 1993, at Fort A.P. Hill, Virginia.
Statistics
This event was attended by 34,449 scouts.
List of sub-camps
The 1993 National Scout Jamboree was divided into four regional encampments which ... |
https://en.wikipedia.org/wiki/Hyperfinite | Hyperfinite may refer to:
Hyperfinite set, a type of internal set in non-standard analysis
Hyperfinite von Neumann algebra, also called amenable von Neumann algebras
Hyperfinite type II factor, a unique von Neumann algebra that is a factor of type II and also hyperfinite
Hyper-finite field, an uncountable field sim... |
https://en.wikipedia.org/wiki/Jim%20Warren%20%28computer%20specialist%29 | Jim Warren (July 20, 1936 – November 24, 2021) was an American mathematics and computing educator, computer professional, entrepreneur, editor, publisher and continuing sometime activist.
Early career
From 1957 to 1967, Warren was a mathematics teacher at secondary-school level, and professor at college and universi... |
https://en.wikipedia.org/wiki/Invariant%20measure | In mathematics, an invariant measure is a measure that is preserved by some function. The function may be a geometric transformation. For examples, circular angle is invariant under rotation, hyperbolic angle is invariant under squeeze mapping, and a difference of slopes is invariant under shear mapping.
Ergodic theo... |
https://en.wikipedia.org/wiki/Krylov%E2%80%93Bogolyubov%20theorem | In mathematics, the Krylov–Bogolyubov theorem (also known as the existence of invariant measures theorem) may refer to either of the two related fundamental theorems within the theory of dynamical systems. The theorems guarantee the existence of invariant measures for certain "nice" maps defined on "nice" spaces and we... |
https://en.wikipedia.org/wiki/Dickman%20function | In analytic number theory, the Dickman function or Dickman–de Bruijn function ρ is a special function used to estimate the proportion of smooth numbers up to a given bound.
It was first studied by actuary Karl Dickman, who defined it in his only mathematical publication, which is not easily available, and later studie... |
https://en.wikipedia.org/wiki/BIT%20predicate | In mathematics and computer science, the BIT predicate, sometimes is a predicate that tests whether the bit of the (starting from the least significant digit) when is written as a binary number. Its mathematical applications include modeling the membership relation of hereditarily finite sets, and defining the adj... |
https://en.wikipedia.org/wiki/Map%20algebra | Map algebra is an algebra for manipulating geographic data, primarily fields. Developed by Dr. Dana Tomlin and others in the late 1970s, it is a set of primitive operations in a geographic information system (GIS) which allows one or more raster layers ("maps") of similar dimensions to produce a new raster layer (map)... |
https://en.wikipedia.org/wiki/Schwartz%20kernel%20theorem | In mathematics, the Schwartz kernel theorem is a foundational result in the theory of generalized functions, published by Laurent Schwartz in 1952. It states, in broad terms, that the generalized functions introduced by Schwartz (Schwartz distributions) have a two-variable theory that includes all reasonable bilinear f... |
https://en.wikipedia.org/wiki/Division%20No.%204%2C%20Subdivision%20D%2C%20Newfoundland%20and%20Labrador | Division No. 4, Subd. D is an unorganized subdivision on the island of Newfoundland in Newfoundland and Labrador, Canada. It is in Division No. 4.
According to the 2016 Statistics Canada Census:
Population: 860
% Change (2011 to 2016): +3.6
Dwellings: 646
Area: 1,149.70 km2
Density: 0.7 people/km2
Division No. 4, Subd... |
https://en.wikipedia.org/wiki/Bessel%20process | In mathematics, a Bessel process, named after Friedrich Bessel, is a type of stochastic process.
Formal definition
The Bessel process of order n is the real-valued process X given (when n ≥ 2) by
where ||·|| denotes the Euclidean norm in Rn and W is an n-dimensional Wiener process (Brownian motion).
For any n, the n... |
https://en.wikipedia.org/wiki/Honest%20leftmost%20branch | In set theory, an honest leftmost branch of a tree T on ω × γ is a branch (maximal chain) ƒ ∈ [T] such that for each branch g ∈ [T], one has ∀ n ∈ ω : ƒ(n) ≤ g(n). Here, [T] denotes the set of branches of maximal length of T, ω is the smallest infinite ordinal (represented by the natural numbers N), and γ is some other... |
https://en.wikipedia.org/wiki/Diagram%20%28category%20theory%29 | In category theory, a branch of mathematics, a diagram is the categorical analogue of an indexed family in set theory. The primary difference is that in the categorical setting one has morphisms that also need indexing. An indexed family of sets is a collection of sets, indexed by a fixed set; equivalently, a function ... |
https://en.wikipedia.org/wiki/Suslin%20cardinal | In mathematics, a cardinal λ < Θ is a Suslin cardinal if there exists a set P ⊂ 2ω such that P is λ-Suslin but P is not λ'-Suslin for any λ' < λ. It is named after the Russian mathematician
Mikhail Yakovlevich Suslin (1894–1919).
See also
Suslin representation
Suslin line
AD+
References
Howard Becker, The restricti... |
https://en.wikipedia.org/wiki/PCB%20congener%20list | This is a complete list of polychlorinated biphenyl (PCB) congeners.
PCB congener list
Explanation of PCB "descriptors"
Congener descriptors give a shorthand notation for geometry and substituent positions. The twelve congeners that display all four of the descriptors are referred to as being "dioxin-like", referrin... |
https://en.wikipedia.org/wiki/Szilassi%20polyhedron | In geometry, the Szilassi polyhedron is a nonconvex polyhedron, topologically a torus, with seven hexagonal faces.
Coloring and symmetry
The 14 vertices and 21 edges of the Szilassi polyhedron form an embedding of the Heawood graph onto the surface of a torus.
Each face of this polyhedron shares an edge with each othe... |
https://en.wikipedia.org/wiki/Suslin%20representation | In mathematics, a Suslin representation of a set of reals (more precisely, elements of Baire space) is a tree whose projection is that set of reals. More generally, a subset A of κω is λ-Suslin if there is a tree T on κ × λ such that A = p[T].
By a tree on κ × λ we mean here a subset T of the union of κi × λi for all... |
https://en.wikipedia.org/wiki/Dan-Virgil%20Voiculescu | Dan-Virgil Voiculescu (born 14 June 1949) is a Romanian professor of mathematics at the University of California, Berkeley. He has worked in single operator theory, operator K-theory and von Neumann algebras. More recently, he developed free probability theory.
Education and career
Voiculescu studied at the University... |
https://en.wikipedia.org/wiki/Pereira%20%28footballer%2C%20born%201960%29 | Luiz Carlos Pereira (born 6 March 1960 in São Paulo), nicknamed "The Spanish Goose", is a retired Brazilian football player.
Club statistics
Honours
Individual Honors
J. League Most Valuable Player: 1994
J. League Best Eleven: 1993, 1994
Japanese Footballer of the Year: 1994
Team Honors
J1 League: 1993, 1994
R... |
https://en.wikipedia.org/wiki/Alexander%20Soifer | Alexander Soifer is a Russian-born American mathematician and mathematics author. His works include over 400 articles and 13 books.
Soifer obtained his Ph.D. in 1973 and has been a professor of mathematics at the University of Colorado since 1979. He was visiting fellow at Princeton University from 2002 to 2004, and a... |
https://en.wikipedia.org/wiki/Folk%20mathematics | Folk mathematics may refer to:
The mathematical folklore that circulates among mathematicians
The informal mathematics used in everyday life
See also
Folk theorem (disambiguation)
Numerals in Koro Language -language of Indigenous People by N. C. Ghosh. Science and culture, 82(5-6) 189-193, 2016
Folk Mathematics :... |
https://en.wikipedia.org/wiki/GRAPE | GRAPE, or GRAphics Programming Environment is a software development environment for mathematical visualization, especially differential geometry and continuum mechanics. In 1994, it won the European Academic Software Award.
The term graphical refers to the applications; the programming itself is mostly based on C. GR... |
https://en.wikipedia.org/wiki/United%20States%20cities%20by%20crime%20rate%20%28100%2C000%E2%80%93250%2C000%29 | The following table is based on Federal Bureau of Investigation Uniform Crime Reports statistics.
The population numbers are based on U.S. Census estimates for the year end. The number of murders includes nonnegligent manslaughter. This list is based on the reporting agency. In most cases the city and the reporting ... |
https://en.wikipedia.org/wiki/United%20States%20cities%20by%20crime%20rate%20%2860%2C000%E2%80%93100%2C000%29 | The following table is based on Federal Bureau of Investigation Uniform Crime Reports statistics.
The population numbers are based on U.S. Census estimates for the year end. The number of murders includes nonnegligent manslaughter. This list is based on the reporting agency. In most cases the city and the reporting... |
https://en.wikipedia.org/wiki/United%20States%20cities%20by%20crime%20rate%20%2840%2C000%E2%80%9360%2C000%29 | The following table is based on Federal Bureau of Investigation Uniform Crime Reports statistics.
The population numbers are based on U.S. Census estimates for the year end. The number of murders includes nonnegligent manslaughter. This list is based on the reporting agency. In most cases the city and the reporting... |
https://en.wikipedia.org/wiki/Charles%20E.%20M.%20Pearce | Charles Edward Miller Pearce (29 March 1940 – 8 June 2012) was a New Zealand/Australian mathematician.
At the time of his death on 8 June 2012 he was the (Sir Thomas) Elder Professor of Mathematics at the University of Adelaide.
Early life
Pearce was born in Wellington. His early schooling was in Wellington and he wa... |
https://en.wikipedia.org/wiki/Local%20Langlands%20conjectures | In mathematics, the local Langlands conjectures, introduced by , are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not... |
https://en.wikipedia.org/wiki/Nesmith%20Ankeny | Nesmith Cornett Ankeny (1927, Walla Walla, Washington – 4 August 1993, Seattle) was an American mathematician specialising in number theory.
After Army service, he studied at Stanford University and obtained his Ph.D. at Princeton University in 1950 under the supervision of Emil Artin. He was a Fellow at Princeton an... |
https://en.wikipedia.org/wiki/Normal%20coordinates | In differential geometry, normal coordinates at a point p in a differentiable manifold equipped with a symmetric affine connection are a local coordinate system in a neighborhood of p obtained by applying the exponential map to the tangent space at p. In a normal coordinate system, the Christoffel symbols of the conne... |
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