Tags

A tag is a keyword or label that categorizes your question with other, similar questions.

A Hamel basis (often simply called basis) of a vector space $V$ over a field $F$ is a linearly independent subset of $V$ that spans it.
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For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
223 questions
The Arzela-Ascoli theorem is a fundamental result of mathematical analysis giving necessary and sufficient conditions to decide whether every sequence of a given family of real-valued continuous functions defined on a closed and bounded interval has a uniformly convergent subsequence. The main condition is the equicontinuity of the family of functions. The theorem is the basis of many proofs in mathematics. Use this tag alongside (real-analysis).
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For questions on Galois cohomology, the study of the group cohomology of Galois modules.
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For questions on derangements, permutations of a set without fixed points.
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Use with the (ring-theory) tag. The tag "finite-rings" refers to questions asked in the field of ring theory which, in particular, focus on rings of finite order.
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This tag is for questions relating to Generalized-eigenvector, a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector.
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For questions on Artinian rings, Artinian modules and related notions.
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For question on Tessellations, the process of creating a two-dimensional plane using the repetition of a geometric shape with no overlaps and no gaps.
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An optimization problem in which the decision variables are binary.
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Use this tag for questions about operators whose norm is at most 1.
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A permutation matrix is a square matrix that has exactly one $1$ in each row and each column and $0$s elsewhere. Permutation matrices are orthogonal matrices.
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Use this tag for questions related to Hamilton's equations.
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A ring is called Cohen-Macaulay if its depth is equal to its dimension. More generally, a commutative ring is called Cohen-Macaulay if is Noetherian and all of its localizations at prime ideals are Cohen-Macaulay. In geometric terms, a scheme is called Cohen-Macaulay if it is locally Noetherian and its local ring at every point is Cohen–Macaulay.
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For all questions involving utility functions as used in economics and decision theory, including study of their properties or how they can be used to represent preferences.
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A groupoid is a small category in which every morphism is an isomorphism. They arise throughout mathematics, e.g. in guise of fundamental groupoids in the theory of covering spaces, holonomy groupoids in the theory of foliations or Lie groupoids in mathematical physics. For groupoids in the sense of universal algebra, i.e., a set with a binary operation, please use the (magma) tag. Also, use other tags such as monoid or category-theory, if needed.
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Use this tag for scheme-theoretic and category-theoretic questions about group schemes, as well as those group schemes that are not algebraic groups. A group scheme G over a scheme S is simply a group object in the category of schemes over S. Finite type group schemes over a field are represented by varieties, and considered algebraic groups; for questions specific to algebraic groups use the [algebraic-groups] tag
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The utilization of advanced computing technology in mathematical research: new mathematical results discovered partly or entirely with the aid of computer-based tools.
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For questions about elliptic differential operators.
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Questions to get the "big picture" about a subject.
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Algebraic K-theory is a tool from homological algebra that defines a sequence of functors from rings to abelian groups. It has many applications in algebraic geometry. See also (topological-k-theory).
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Relating to all $n\times n$ matrices $(A)$ with the property $a_{i,j}=0$ if $|j-i|>1$
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For questions about Stieltjes integrals. Use with other tags as needed, such as [riemann-integration], to specify Riemann–Stieltjes, Lebesgue–Stieltjes, etc.
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In formal language theory, a grammar (when the context is not given, often called a formal grammar for clarity) is a set of production rules for strings in a formal language. A formal grammar is a set of rules for rewriting strings, along with a "start symbol" from which rewriting starts. Therefore, a grammar is usually thought of as a language generator. (Def: http://en.m.wikipedia.org/wiki/Formal_grammar)
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For question about stereographic projection, a particular mapping that projects a sphere onto a plane.
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The digamma function, usually represented by the Greek letter psi or digamma, is the logarithmic derivative of the [tag:gamma-function]. It is the first of the polygamma functions.
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Tag for questions about upper-semicontinuous and lower-semicontinuous functions.
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A Schauder basis is a basis that use linear combinations that may be infinite sums..
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This tag is for questions about foliations in differential geometry and use in conjunction with the tag (differential geometry).
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A formula is in conjunctive normal form (CNF) if it is a conjunction of clauses, where a clause is a disjunction of literals.
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Interval arithmetic is the arithmetic of quantities that lie within specified ranges (i.e., intervals) instead of having definite known values.
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Matrix $A$ is skew-symmetric (or antisymmetric) iff $A^\top = -A$.
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For questions about Hardy spaces. Use the other related tag like (tag: complex-analysis) or (operator-theory).
202 questions