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https://en.wikipedia.org/wiki/Leibniz%20operator | In abstract algebraic logic, a branch of mathematical logic, the Leibniz operator is a tool used to classify deductive systems, which have a precise technical definition and capture a large number of logics. The Leibniz operator was introduced by Wim Blok and Don Pigozzi, two of the founders of the field, as a means to... |
https://en.wikipedia.org/wiki/Banach%20function%20algebra | In functional analysis, a Banach function algebra on a compact Hausdorff space X is unital subalgebra, A, of the commutative C*-algebra C(X) of all continuous, complex-valued functions from X, together with a norm on A that makes it a Banach algebra.
A function algebra is said to vanish at a point p if f(p) = 0 for a... |
https://en.wikipedia.org/wiki/UPML | UPML may refer to:
Ukrainian Physics and Mathematics Lyceum, a high school in Kyiv, Ukraine.
Uniaxial Perfectly Matched Layer, numerical truncation methodology. |
https://en.wikipedia.org/wiki/Levene%27s%20test | In statistics, Levene's test is an inferential statistic used to assess the equality of variances for a variable calculated for two or more groups. Some common statistical procedures assume that variances of the populations from which different samples are drawn are equal. Levene's test assesses this assumption. It tes... |
https://en.wikipedia.org/wiki/Cartan%20subgroup | In the theory of algebraic groups, a Cartan subgroup of a connected linear algebraic group over a (not necessarily algebraically closed) field is the centralizer of a maximal torus. Cartan subgroups are smooth (equivalently reduced), connected and nilpotent. If is algebraically closed, they are all conjugate to each... |
https://en.wikipedia.org/wiki/Frequency%20%28statistics%29 | In statistics, the frequency or absolute frequency of an event is the number of times the observation has occurred/recorded in an experiment or study. These frequencies are often depicted graphically or in tabular form.
Types
The cumulative frequency is the total of the absolute frequencies of all events at or below... |
https://en.wikipedia.org/wiki/Presheaf%20%28category%20theory%29 | In category theory, a branch of mathematics, a presheaf on a category is a functor . If is the poset of open sets in a topological space, interpreted as a category, then one recovers the usual notion of presheaf on a topological space.
A morphism of presheaves is defined to be a natural transformation of functors. ... |
https://en.wikipedia.org/wiki/Central%20product | In mathematics, especially in the field of group theory, the central product is one way of producing a group from two smaller groups. The central product is similar to the direct product, but in the central product two isomorphic central subgroups of the smaller groups are merged into a single central subgroup of the ... |
https://en.wikipedia.org/wiki/Elementary%20abelian%20group | In mathematics, specifically in group theory, an elementary abelian group is an abelian group in which all elements other than the identity have the same order. This common order must be a prime number, and the elementary abelian groups in which the common order is p are a particular kind of p-group. A group for which... |
https://en.wikipedia.org/wiki/David%20Webb%20%28Hong%20Kong%20activist%29 | David Michael Webb (born 29 August 1965) is an activist investor, share market analyst and retired investment banker based in Hong Kong.
Early life
Webb graduated in Mathematics from Exeter College, Oxford in 1986. From 1981 to 1986 he was also an author of books and games for early home computers, particularly the Z... |
https://en.wikipedia.org/wiki/Joachim%20Nitsche | Joachim A. Nitsche (September 2, 1926, Nossen – January 12, 1996) was a German mathematician and professor of mathematics in Freiburg, known for his important contributions to the mathematical and numerical analysis of partial differential equations. The duality argument for estimating the error of the finite element m... |
https://en.wikipedia.org/wiki/Projective%20orthogonal%20group | In projective geometry and linear algebra, the projective orthogonal group PO is the induced action of the orthogonal group of a quadratic space V = (V,Q) on the associated projective space P(V). Explicitly, the projective orthogonal group is the quotient group
PO(V) = O(V)/ZO(V) = O(V)/{±I}
where O(V) is the orthogona... |
https://en.wikipedia.org/wiki/Eigen | Eigen may refer to:
Eigen (C++ library), computer programming library for matrix and linear algebra operations
Eigen, Schwyz, settlement in the municipality of Alpthal in the canton of Schwyz, Switzerland
Eigen, Thurgau, locality in the municipality of Lengwil in the canton of Thurgau, Switzerland
Manfred Eigen (1... |
https://en.wikipedia.org/wiki/Bernstein%20inequality | In mathematics, Bernstein inequality, named after Sergei Natanovich Bernstein, may refer to:
Bernstein's inequality (mathematical analysis)
Bernstein inequalities (probability theory)
Mathematics disambiguation pages |
https://en.wikipedia.org/wiki/Complex%20affine%20space | Affine geometry, broadly speaking, is the study of the geometrical properties of lines, planes, and their higher dimensional analogs, in which a notion of "parallel" is retained, but no metrical notions of distance or angle are. Affine spaces differ from linear spaces (that is, vector spaces) in that they do not have ... |
https://en.wikipedia.org/wiki/Pentagonal%20tiling | In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon.
A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 108°, is not a divisor of 360°, the angle measure of a whole turn. However, regular pen... |
https://en.wikipedia.org/wiki/Poincar%C3%A9%20model | Poincaré model can refer to:
Poincaré disk model, a model of n-dimensional hyperbolic geometry
Poincaré half-plane model, a model of two-dimensional hyperbolic geometry
ru:Модель Пуанкаре |
https://en.wikipedia.org/wiki/Pitchfork%20bifurcation | In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation where the system transitions from one fixed point to three fixed points. Pitchfork bifurcations, like Hopf bifurcations, have two types – supercritical and subcritical.
In continuous dynamical systems ... |
https://en.wikipedia.org/wiki/Centre%20%28geometry%29 | In geometry, a centre (British English) or center (American English) () of an object is a point in some sense in the middle of the object. According to the specific definition of centre taken into consideration, an object might have no centre. If geometry is regarded as the study of isometry groups, then a centre is a ... |
https://en.wikipedia.org/wiki/Tetrahedroid | In algebraic geometry, a tetrahedroid (or tétraédroïde) is a special kind of Kummer surface studied by , with the property that the intersections with the faces of a fixed tetrahedron are given by two conics intersecting in four nodes. Tetrahedroids generalize Fresnel's wave surface.
References
Algebraic surfaces
Com... |
https://en.wikipedia.org/wiki/Tridyakis%20icosahedron | In geometry, the tridyakis icosahedron is the dual polyhedron of the nonconvex uniform polyhedron, icositruncated dodecadodecahedron. It has 44 vertices, 180 edges, and 120 scalene triangular faces.
Proportions
The triangles have one angle of , one of and one of . The dihedral angle equals . Part of each triangle li... |
https://en.wikipedia.org/wiki/Milnor%27s%20sphere | In mathematics, specifically differential and algebraic topology, during the mid 1950's John Milnorpg 14 was trying to understand the structure of -connected manifolds of dimension (since -connected -manifolds are homeomorphic to spheres, this is the first non-trivial case after) and found an example of a space which... |
https://en.wikipedia.org/wiki/Professor%20of%20Mathematics%20%28Glasgow%29 | The Chair of Mathematics in the University of Glasgow in Scotland was established in 1691. Previously, under James VI's Nova Erectio, the teaching of Mathematics had been the responsibility of the Regents.
List of Mathematics Professors
George Sinclair MA (1691-1696)
Robert Sinclair MA MD (1699)
Robert Simson MA... |
https://en.wikipedia.org/wiki/Spectral%20asymmetry | In mathematics and physics, the spectral asymmetry is the asymmetry in the distribution of the spectrum of eigenvalues of an operator. In mathematics, the spectral asymmetry arises in the study of elliptic operators on compact manifolds, and is given a deep meaning by the Atiyah-Singer index theorem. In physics, it ha... |
https://en.wikipedia.org/wiki/Binomial%20number | In mathematics, specifically in number theory, a binomial number is an integer which can be obtained by evaluating a homogeneous polynomial containing two terms. It is a generalization of a Cunningham number.
Definition
A binomial number is an integer obtained by evaluating a homogeneous polynomial containing two te... |
https://en.wikipedia.org/wiki/Durbin%E2%80%93Watson%20statistic | In statistics, the Durbin–Watson statistic is a test statistic used to detect the presence of autocorrelation at lag 1 in the residuals (prediction errors) from a regression analysis. It is named after James Durbin and Geoffrey Watson. The small sample distribution of this ratio was derived by John von Neumann (von Neu... |
https://en.wikipedia.org/wiki/List%20of%20Sheffield%20Wednesday%20F.C.%20players | This is a list of footballers who have played for Sheffield Wednesday F.C. in
competitive fixtures. Appearance and goal statistics are for all competitions.
For current players see Current squad.
References
Sheffield Wednesday
Players
Association football player non-biographical articles |
https://en.wikipedia.org/wiki/NSMB%20%28mathematics%29 | NSMB is a computer system for solving Navier–Stokes equations using the finite volume method. It supports meshes built of several blocks (multi-blocks) and supports parallelisation. The name stands for "Navier–Stokes multi-block". It was developed by a consortium of European scientific institutions and companies, betwe... |
https://en.wikipedia.org/wiki/Hermite%27s%20identity | In mathematics, Hermite's identity, named after Charles Hermite, gives the value of a summation involving the floor function. It states that for every real number x and for every positive integer n the following identity holds:
Proofs
Proof by algebraic manipulation
Split into its integer part and fractional part, ... |
https://en.wikipedia.org/wiki/Complex%20logarithm | In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers. The term refers to one of the following, which are strongly related:
A complex logarithm of a nonzero complex number , defined to be any complex number for which . Such a number is denoted by . If is given... |
https://en.wikipedia.org/wiki/P2-irreducible%20manifold | {{DISPLAYTITLE:P2-irreducible manifold}}
In mathematics, a P2-irreducible manifold is a 3-manifold that is irreducible and contains no 2-sided (real projective plane). An orientable manifold is P2-irreducible if and only if it is irreducible. Every non-orientable P2-irreducible manifold is a Haken manifold.
Reference... |
https://en.wikipedia.org/wiki/Bob%20Vaughan | Robert Charles "Bob" Vaughan FRS (born 24 March 1945) is a British mathematician, working in the field of analytic number theory.
Life
Since 1999 he has been Professor at Pennsylvania State University, and since 1990 Fellow of the Royal Society. He did his PhD at the University of London under supervision of Theodor E... |
https://en.wikipedia.org/wiki/Theodor%20Estermann | Theodor Estermann (5 February 1902 – 29 November 1991) was a German-born American mathematician, working in the field of analytic number theory. The Estermann measure, a measure of the central symmetry of a convex set in the Euclidean plane, is named after him.
He was born in Neubrandenburg, Germany, "to keen Zionist... |
https://en.wikipedia.org/wiki/Heini%20Halberstam | Heini Halberstam (11 September 1926 – 25 January 2014) was a Czech-born British mathematician, working in the field of analytic number theory. He is remembered in part for the Elliott–Halberstam conjecture from 1968.
Life and career
Halberstam was born in Most, Czechoslovakia and died in Champaign, Illinois, US. His f... |
https://en.wikipedia.org/wiki/Guido%20Stampacchia | Guido Stampacchia (26 March 1922 – 27 April 1978) was an Italian mathematician, known for his work on the theory of variational inequalities, the calculus of variation and the theory of elliptic partial differential equations.
Life and academic career
Stampacchia was born in Naples, Italy, to Emanuele Stampacchia and ... |
https://en.wikipedia.org/wiki/Category%20of%20elements | In category theory, a branch of mathematics, the category of elements of a presheaf is a category associated to that presheaf whose objects are the elements of sets in the presheaf.
The category of elements of a simplicial set is fundamental in simplicial homotopy theory, a branch of algebraic topology. More generall... |
https://en.wikipedia.org/wiki/Stepwise%20regression | In statistics, stepwise regression is a method of fitting regression models in which the choice of predictive variables is carried out by an automatic procedure. In each step, a variable is considered for addition to or subtraction from the set of explanatory variables based on some prespecified criterion. Usually, thi... |
https://en.wikipedia.org/wiki/Dana%20Randall | Dana Randall is an American computer scientist. She works as the ADVANCE Professor of Computing, and adjunct professor of mathematics at the Georgia Institute of Technology. She is also an External Professor of the Santa Fe Institute. Previously she was executive director of the Georgia Tech Institute of Data Engineer... |
https://en.wikipedia.org/wiki/H%C3%B6lder%27s%20theorem | In mathematics, Hölder's theorem states that the gamma function does not satisfy any algebraic differential equation whose coefficients are rational functions. This result was first proved by Otto Hölder in 1887; several alternative proofs have subsequently been found.
The theorem also generalizes to the -gamma functi... |
https://en.wikipedia.org/wiki/Pr%C3%BCfer%20group | In mathematics, specifically in group theory, the Prüfer p-group or the p-quasicyclic group or p∞-group, Z(p∞), for a prime number p is the unique p-group in which every element has p different p-th roots.
The Prüfer p-groups are countable abelian groups that are important in the classification of infinite abelian gr... |
https://en.wikipedia.org/wiki/Ruth%E2%80%93Aaron%20pair | In mathematics, a Ruth–Aaron pair consists of two consecutive integers (e.g., 714 and 715) for which the sums of the prime factors of each integer are equal:
714 = 2 × 3 × 7 × 17,
715 = 5 × 11 × 13,
and
2 + 3 + 7 + 17 = 5 + 11 + 13 = 29.
There are different variations in the definition, depending on how many times... |
https://en.wikipedia.org/wiki/Hunt%20process | In probability theory, a Hunt process is a strong Markov process which is quasi-left continuous with respect to the minimum completed admissible filtration .
It is named after Gilbert Hunt.
See also
Markov process
Markov chain
Shift of finite type
References
Markov processes |
https://en.wikipedia.org/wiki/Critical%20point%20%28set%20theory%29 | In set theory, the critical point of an elementary embedding of a transitive class into another transitive class is the smallest ordinal which is not mapped to itself.
Suppose that is an elementary embedding where and are transitive classes and is definable in by a formula of set theory with parameters from . Th... |
https://en.wikipedia.org/wiki/Curl | Curl or CURL may refer to:
Science and technology
Curl (mathematics), a vector operator that shows a vector field's rate of rotation
Curl (programming language), an object-oriented programming language designed for interactive Web content
cURL, a program and application library for transferring data with URLs
Anto... |
https://en.wikipedia.org/wiki/Jacobi%20eigenvalue%20algorithm | In numerical linear algebra, the Jacobi eigenvalue algorithm is an iterative method for the calculation of the eigenvalues and eigenvectors of a real symmetric matrix (a process known as diagonalization). It is named after Carl Gustav Jacob Jacobi, who first proposed the method in 1846, but only became widely used in t... |
https://en.wikipedia.org/wiki/Quasi-bialgebra | In mathematics, quasi-bialgebras are a generalization of bialgebras: they were first defined by the Ukrainian mathematician Vladimir Drinfeld in 1990. A quasi-bialgebra differs from a bialgebra by having coassociativity replaced by an invertible element which controls the non-coassociativity. One of their key properti... |
https://en.wikipedia.org/wiki/Quasi-Hopf%20algebra | A quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989.
A quasi-Hopf algebra is a quasi-bialgebra for which there exist and a bijective antihomomorphism S (antipode) of such that
for all and where
and
where the expansions for th... |
https://en.wikipedia.org/wiki/Proxy%20%28statistics%29 | In statistics, a proxy or proxy variable is a variable that is not in itself directly relevant, but that serves in place of an unobservable or immeasurable variable. In order for a variable to be a good proxy, it must have a close correlation, not necessarily linear, with the variable of interest. This correlation migh... |
https://en.wikipedia.org/wiki/Segal%27s%20conjecture | Segal's Burnside ring conjecture, or, more briefly, the Segal conjecture, is a theorem in homotopy theory, a branch of mathematics. The theorem relates the Burnside ring of a finite group G to the stable cohomotopy of the classifying space BG. The conjecture was made in the mid 1970s by Graeme Segal and proved in 1984 ... |
https://en.wikipedia.org/wiki/Planisphaerium | The Planisphaerium is a work by Ptolemy. The title can be translated as "celestial plane" or "star chart". In this work Ptolemy explored the mathematics of mapping figures inscribed in the celestial sphere onto a plane by what is now known as stereographic projection. This method of projection preserves the propertie... |
https://en.wikipedia.org/wiki/Castle%20Death | Castle Death is the seventh book in the Lone Wolf book series created by Joe Dever.
Gameplay
Lone Wolf books rely on a combination of thought and luck. Certain statistics such as combat skill and endurance attributes are determined randomly before play (reading). The player is then allowed to choose which Magnakai di... |
https://en.wikipedia.org/wiki/The%20Jungle%20of%20Horrors | The Jungle of Horrors is the eighth book in the award-winning Lone Wolf book series created by Joe Dever.
Gameplay
Lone Wolf books rely on a combination of thought and luck. Certain statistics such as combat skill and endurance attributes are determined randomly before play (reading). The player is then allowed to ch... |
https://en.wikipedia.org/wiki/List%20of%20triangle%20inequalities | In geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain conditions. The inequalities give an ordering of two different values: they are of the form "less than", "less than or equal to", "greater than", or "greater tha... |
https://en.wikipedia.org/wiki/The%20Prisoners%20of%20Time | The Prisoners of Time is the eleventh book in the Lone Wolf book series created by Joe Dever.
Gameplay
Lone Wolf books rely on a combination of thought and luck. Certain statistics such as combat skill and endurance attributes are determined randomly before play (reading). The player is then allowed to choose which M... |
https://en.wikipedia.org/wiki/Weyl%27s%20inequality | In linear algebra, Weyl's inequality is a theorem about the changes to eigenvalues of an Hermitian matrix that is perturbed. It can be used to estimate the eigenvalues of a perturbed Hermitian matrix.
Weyl's inequality about perturbation
Let and be n×n Hermitian matrices, with their respective eigenvalues ordered... |
https://en.wikipedia.org/wiki/Monge%E2%80%93Amp%C3%A8re%20equation | In mathematics, a (real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind. A second-order equation for the unknown function u of two variables x,y is of Monge–Ampère type if it is linear in the determinant of the Hessian matrix of u and in the second-order partial derivati... |
https://en.wikipedia.org/wiki/Random%20permutation%20statistics | The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms, especially of sorting algorithms, which operate on random permutations. Suppose, for example, that we are using quickselect (a cousin of quicksort) to select a random e... |
https://en.wikipedia.org/wiki/Midy%27s%20theorem | In mathematics, Midy's theorem, named after French mathematician E. Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period . If the period of the decimal representation of a/p is 2n, so that
then the digits in the second half o... |
https://en.wikipedia.org/wiki/Inverse%20scattering%20transform | In mathematics, the inverse scattering transform is a method for solving some non-linear partial differential equations. The method is a non-linear analogue, and in some sense generalization, of the Fourier transform, which itself is applied to solve many linear partial differential equations. The name "inverse scatter... |
https://en.wikipedia.org/wiki/Binomial%20regression | In statistics, binomial regression is a regression analysis technique in which the response (often referred to as Y) has a binomial distribution: it is the number of successes in a series of independent Bernoulli trials, where each trial has probability of success . In binomial regression, the probability of a success... |
https://en.wikipedia.org/wiki/Renate%20Loll | Renate Loll (born 19 June 1962, Aachen) Is a German physicist. She is a Professor in Theoretical Physics at the Institute for Mathematics, Astrophysics and Particle Physics of the Radboud University in Nijmegen, Netherlands. She previously worked at the Institute for Theoretical Physics of Utrecht University. She rec... |
https://en.wikipedia.org/wiki/Squared%20triangular%20number | In number theory, the sum of the first cubes is the square of the th triangular number. That is,
The same equation may be written more compactly using the mathematical notation for summation:
This identity is sometimes called Nicomachus's theorem, after Nicomachus of Gerasa (c. 60 – c. 120 CE).
History
Nicomachus, ... |
https://en.wikipedia.org/wiki/Pseudolikelihood | In statistical theory, a pseudolikelihood is an approximation to the joint probability distribution of a collection of random variables. The practical use of this is that it can provide an approximation to the likelihood function of a set of observed data which may either provide a computationally simpler problem for ... |
https://en.wikipedia.org/wiki/Perron%27s%20formula | In mathematics, and more particularly in analytic number theory, Perron's formula is a formula due to Oskar Perron to calculate the sum of an arithmetic function, by means of an inverse Mellin transform.
Statement
Let be an arithmetic function, and let
be the corresponding Dirichlet series. Presume the Dirichlet s... |
https://en.wikipedia.org/wiki/Burnside%20ring | In mathematics, the Burnside ring of a finite group is an algebraic construction that encodes the different ways the group can act on finite sets. The ideas were introduced by William Burnside at the end of the nineteenth century. The algebraic ring structure is a more recent development, due to Solomon (1967).
Formal... |
https://en.wikipedia.org/wiki/Set%20theory%20of%20the%20real%20line | Set theory of the real line is an area of mathematics concerned with the application of set theory to aspects of the real numbers.
For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size of a set
which is not Lebesgue null. This in... |
https://en.wikipedia.org/wiki/Molina%2C%20Chile | Molina is a Chilean city and commune in Curicó Province, Maule Region. Molina is named after Chilean Jesuit Juan Ignacio Molina.
Demographics
According to the 2002 census of the National Statistics Institute, Molina spans an area of and has 38,521 inhabitants (19,392 men and 19,129 women). Of these, 28,232 (73.3%) li... |
https://en.wikipedia.org/wiki/Transitively%20normal%20subgroup | In mathematics, in the field of group theory, a subgroup of a group is said to be transitively normal in the group if every normal subgroup of the subgroup is also normal in the whole group. In symbols, is a transitively normal subgroup of if for every normal in , we have that is normal in .
An alternate way to ch... |
https://en.wikipedia.org/wiki/Central%20subgroup | In mathematics, in the field of group theory, a subgroup of a group is termed central if it lies inside the center of the group.
Given a group , the center of , denoted as , is defined as the set of those elements of the group which commute with every element of the group. The center is a characteristic subgroup. A su... |
https://en.wikipedia.org/wiki/C-function | In mathematics, c-function may refer to:
Smooth function
Harish-Chandra's c-function in the theory of Lie groups
List of C functions for the programming language C |
https://en.wikipedia.org/wiki/A-group | In mathematics, in the area of abstract algebra known as group theory, an A-group is a type of group that is similar to abelian groups. The groups were first studied in the 1940s by Philip Hall, and are still studied today. A great deal is known about their structure.
Definition
An A-group is a finite group with the... |
https://en.wikipedia.org/wiki/M-group | In mathematics, especially in the field of group theory, the term M-group may refer to a few distinct concepts:
monomial group, in character theory, a group whose complex irreducible characters are all monomial
Iwasawa group or modular group, in the study of subgroup lattices, a group whose subgroup lattice is modula... |
https://en.wikipedia.org/wiki/HN%20group | In mathematics, in the field of group theory, a HN group or hypernormalizing group is a group with the property that the hypernormalizer of any subnormal subgroup is the whole group.
For finite groups, this is equivalent to the condition that the normalizer of any subnormal subgroup be subnormal.
Some facts about HN ... |
https://en.wikipedia.org/wiki/Component%20%28group%20theory%29 | In mathematics, in the field of group theory, a component of a finite group is a quasisimple subnormal subgroup. Any two distinct components commute. The product of all the components is the layer of the group.
For finite abelian (or nilpotent) groups, p-component is used in a different sense to mean the Sylow p-sub... |
https://en.wikipedia.org/wiki/Perfect%20core | In mathematics, in the field of group theory, the perfect core (or perfect radical) of a group is its largest perfect subgroup. Its existence is guaranteed by the fact that the subgroup generated by a family of perfect subgroups is again a perfect subgroup. The perfect core is also the point where the transfinite deriv... |
https://en.wikipedia.org/wiki/Imperfect%20group | In mathematics, in the area of algebra known as group theory, an imperfect group is a group with no nontrivial perfect quotients. Some of their basic properties were established in . The study of imperfect groups apparently began in .
The class of imperfect groups is closed under extension and quotient groups, but n... |
https://en.wikipedia.org/wiki/Locally%20finite%20group | In mathematics, in the field of group theory, a locally finite group is a type of group that can be studied in ways analogous to a finite group. Sylow subgroups, Carter subgroups, and abelian subgroups of locally finite groups have been studied. The concept is credited to work in the 1930s by Russian mathematician Ser... |
https://en.wikipedia.org/wiki/Metanilpotent%20group | In mathematics, in the field of group theory, a metanilpotent group is a group that is nilpotent by nilpotent. In other words, it has a normal nilpotent subgroup such that the quotient group is also nilpotent.
In symbols, is metanilpotent if there is a normal subgroup such that both and are nilpotent.
The followi... |
https://en.wikipedia.org/wiki/Noga%20Alon | Noga Alon (; born 1956) is an Israeli mathematician and a professor of mathematics at Princeton University noted for his contributions to combinatorics and theoretical computer science, having authored hundreds of papers.
Education and career
Alon was born in 1956 in Haifa, where he graduated from the Hebrew Reali Sc... |
https://en.wikipedia.org/wiki/Periodic%20point | In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of function iterations or a certain amount of time.
Iterated functions
Given a mapping from a set into itself,
a point in is called periodic point... |
https://en.wikipedia.org/wiki/Conjugacy%20problem | In abstract algebra, the conjugacy problem for a group G with a given presentation is the decision problem of determining, given two words x and y in G, whether or not they represent conjugate elements of G. That is, the problem is to determine whether there exists an element z of G such that
The conjugacy problem is... |
https://en.wikipedia.org/wiki/Totally%20disconnected%20group | In mathematics, a totally disconnected group is a topological group that is totally disconnected. Such topological groups are necessarily Hausdorff.
Interest centres on locally compact totally disconnected groups (variously referred to as groups of td-type, locally profinite groups, or t.d. groups). The compact case h... |
https://en.wikipedia.org/wiki/Unknotting%20problem | In mathematics, the unknotting problem is the problem of algorithmically recognizing the unknot, given some representation of a knot, e.g., a knot diagram. There are several types of unknotting algorithms. A major unresolved challenge is to determine if the problem admits a polynomial time algorithm; that is, whether ... |
https://en.wikipedia.org/wiki/Arnold%20Walfisz | Arnold Walfisz (2 July 1892 – 29 May 1962) was a Jewish-Polish mathematician working in analytic number theory.
Life
After the Abitur in Warsaw (Poland), Arnold Walfisz studied (1909−14 and 1918−21) in Germany at Munich, Berlin, Heidelberg and Göttingen. Edmund Landau was his doctoral-thesis supervisor at the Univers... |
https://en.wikipedia.org/wiki/Acta%20Arithmetica | Acta Arithmetica is a scientific journal of mathematics publishing papers on number theory. It was established in 1935 by Salomon Lubelski and Arnold Walfisz. The journal is published by the Institute of Mathematics of the Polish Academy of Sciences.
References
External links
Online archives (Library of Science, Is... |
https://en.wikipedia.org/wiki/Poinsot%27s%20spirals | In mathematics, Poinsot's spirals are two spirals represented by the polar equations
where csch is the hyperbolic cosecant, and sech is the hyperbolic secant. They are named after the French mathematician Louis Poinsot.
Examples of the two types of Poinsot's spirals
See also
References
Spirals |
https://en.wikipedia.org/wiki/Normal%20cone | In algebraic geometry, the normal cone of a subscheme of a scheme is a scheme analogous to the normal bundle or tubular neighborhood in differential geometry.
Definition
The normal cone or of an embedding , defined by some sheaf of ideals I is defined as the relative Spec
When the embedding i is regular the normal... |
https://en.wikipedia.org/wiki/LVP | LVP may refer to:
Science, mathematics, and computing
Laser voltage prober, a tool for analysing integrated circuits
Left ventricular pressure, blood pressure in the heart
Large volume parenterals, a type of injectable pharmaceutical product
Lithium vanadium phosphate battery, a proposed type of lithium ion batte... |
https://en.wikipedia.org/wiki/Coarse%20structure | In the mathematical fields of geometry and topology, a coarse structure on a set X is a collection of subsets of the cartesian product X × X with certain properties which allow the large-scale structure of metric spaces and topological spaces to be defined.
The concern of traditional geometry and topology is with the ... |
https://en.wikipedia.org/wiki/Hua%27s%20lemma | In mathematics, Hua's lemma, named for Hua Loo-keng, is an estimate for exponential sums.
It states that if P is an integral-valued polynomial of degree k, is a positive real number, and f a real function defined by
then
,
where lies on a polygonal line with vertices
References
Lemmas
Analytic number theory |
https://en.wikipedia.org/wiki/Quasi-triangular%20quasi-Hopf%20algebra | A quasi-triangular quasi-Hopf algebra is a specialized form of a quasi-Hopf algebra defined by the Ukrainian mathematician Vladimir Drinfeld in 1989. It is also a generalized form of a quasi-triangular Hopf algebra.
A quasi-triangular quasi-Hopf algebra is a set where is a quasi-Hopf algebra and known as the R-matr... |
https://en.wikipedia.org/wiki/Alison%20Wong | Alison Wong (born 1960) is a New Zealand poet and novelist of Chinese heritage. Her background in mathematics comes across in her poetry, not as a subject, but in the careful formulation of words to white space and precision. She has a half-Chinese son with New Zealand poet Linzy Forbes. She now lives in Geelong.
Ca... |
https://en.wikipedia.org/wiki/Dalcahue | Dalcahue is a port city and a commune in Chiloé Province, on Chiloé Island, Los Lagos Region, Chile.
Demographics
According to the 2002 census by the National Statistics Institute, the Dalcachue commune spans an area of and had 10,693 inhabitants; of these, 4,933 (46.1%) lived in urban areas and 5,760 (53.9%) in rur... |
https://en.wikipedia.org/wiki/Ascendant%20subgroup | In mathematics, in the field of group theory, a subgroup of a group is said to be ascendant if there is an ascending series starting from the subgroup and ending at the group, such that every term in the series is a normal subgroup of its successor.
The series may be infinite. If the series is finite, then the subgrou... |
https://en.wikipedia.org/wiki/Temporal%20Process%20Language | In theoretical computer science, Temporal Process Language (TPL) is a process calculus which extends Robin Milner's CCS with the notion of multi-party synchronization, which allows multiple process to synchronize on a global 'clock'. This clock measures time, though not concretely, but rather as an abstract signal whic... |
https://en.wikipedia.org/wiki/Characteristically%20simple%20group | In mathematics, in the field of group theory, a group is said to be characteristically simple if it has no proper nontrivial characteristic subgroups. Characteristically simple groups are sometimes also termed elementary groups. Characteristically simple is a weaker condition than being a simple group, as simple groups... |
https://en.wikipedia.org/wiki/Strictly%20simple%20group | In mathematics, in the field of group theory, a group is said to be strictly simple if it has no proper nontrivial ascendant subgroups. That is, is a strictly simple group if the only ascendant subgroups of are (the trivial subgroup), and itself (the whole group).
In the finite case, a group is strictly simple if ... |
https://en.wikipedia.org/wiki/Absolutely%20simple%20group | In mathematics, in the field of group theory, a group is said to be absolutely simple if it has no proper nontrivial serial subgroups. That is, is an absolutely simple group if the only serial subgroups of are (the trivial subgroup), and itself (the whole group).
In the finite case, a group is absolutely simple if... |
https://en.wikipedia.org/wiki/Supersolvable%20group | In mathematics, a group is supersolvable (or supersoluble) if it has an invariant normal series where all the factors are cyclic groups. Supersolvability is stronger than the notion of solvability.
Definition
Let G be a group. G is supersolvable if there exists a normal series
such that each quotient group is cycl... |
https://en.wikipedia.org/wiki/FC-group | In mathematics, in the field of group theory, an FC-group is a group in which every conjugacy class of elements has finite cardinality.
The following are some facts about FC-groups:
Every finite group is an FC-group.
Every abelian group is an FC-group.
The following property is stronger than the property of being ... |
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