Tags
A tag is a keyword or label that categorizes your question with other, similar questions.
Hyperoperation is a field of mathematics which studies indexed families of binary operations, Hyperoperations families, that generalize and extend the standard sequence of the basic arithmetic operations of addition, multiplication and exponentiation.
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For questions about mathematical background of data structures, including analysis and proofs and for questions based on some data structure properties. Data structures aim to allow efficient processing of particular queries on the data they contain.
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The Cholesky decomposition is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose.
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Questions about axiomatic systems for geometry. Use this tag if you're looking for a proof starting directly from some set of axioms (e.g., Hilbert's axioms for Euclidean geometry), or if you have a question about the axioms themselves.
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The Klein bottle is an example of a non-orientable surface; it is a two-dimensional manifold against which a system for determining a normal vector cannot be consistently defined. It was first described in 1882 by the German mathematician Felix Klein.
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For questions about interpolation of operators. This includes: real and complex interpolation, interpolation estimates, interpolation spaces. Questions about the estimation of a function from a given input should be asked under the [interpolation] tag instead.
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For questions about integrating factors in general as well as their application to solving ODEs.
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For questions regarding circulant matrices, where each row vector is rotated one element to the right relative to the preceding row vector.
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For questions regarding Simpson's rule for approximating the integral of a function using quadratic polynomials, and its applications.
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Principal component analysis (PCA) is a linear dimensionality reduction technique. It reduces a multivariate dataset to a smaller set of constructed variables preserving as much information (as much variance) as possible. These variables, called principal components, are linear combinations of the input variables.
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This tag is for questions relating to integral operators, which are an important special class of linear operators that act on function spaces.
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For questions on cellular automata, a discrete model consisting of a regular grid of cells.
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For questions regarding the mathematical analysis of voting systems and behavior. Examples include the median voter theorem or the Condorcet jury theorems.
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Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers.
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For questions related to sampling theory. Sampling theory is the field of statistics that is involved with the collection, analysis and interpretation of data gathered from random samples of a population under study.
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For questions about the Kronecker-delta, which is a function of two variables (usually non-negative integers).
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This tag is for questions about data mining, which is an interdisciplinary subfield of computer science. It is the computational process of discovering patterns in large data sets.
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For questions about steady states in systems theory, which are unchanging in time.
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For questions about the surreal numbers, an inductively constructed ordered field that naturally contains all ordinal numbers.
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In functional analysis, a reflexive space is a Banach space (or more generally a locally convex topological vector space) that coincides with the continuous dual of its continuous dual space, both as linear space and as topological space.
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one of several equally-frequent subranges of a data set or random distribution; for example, a percentile or quartile
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For questions related to toric geometry. The objects of study in toric geometry are toric varieties. Toric varieties are called ‘toric’ because they are equipped with a ‘torus action’. By a torus we mean the linear algebraic group $C^∗ ×\dots× C^∗$, not the torus from topology. A toric variety contains a torus as an open subset and this defines the torus action.
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Suppose $\{X_i\}_{i = 1}^\infty$ are i.i.d random variables, such that $P(X_1 > 0) = 1$. Then the corresponding renewal process is $\nu(t) = \max\{n \in \mathbb{N} | \Sigma_{i = 1}^n X_i \leq t\}$. Here $t \in \mathbb{R}_+$.
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Percolation theory describes the behavior of connected clusters in a random graph.
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This tag is for questions relating to iterated integrals. In calculus, an iterated integral is the result of applying integrals to a function of more than one variable (for example, $~f(x,y)~$ or $~f(x,y,z)~$) in a way that each of the integrals considers some of the variables as given constants.
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An integro-differential equation is an equation involving both the integrals and derivatives of a function. The solution to an integro-differential equation is a function which satisfies the original equation.
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Use this tag for questions about detecting the intersection of two or more objects.
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This tag is for questions relating to Barycentric coordinate systems which describe the place of certain points in a triangle. They do not use distances of points, but only ratios of segments. Thus,
they belong to the geometry of the affine plane, which deals with parallels and ratios of
collinear segments without to use a notion of distance between two points, as it does
euclidean geometry. The system was introduced in 1827 by August Ferdinand Möbius.
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For questions related to module isomorphism. Let $R$ be a ring, $(G,+G,∘)_R$ and $(H,+H,∘)_R$ be $R$-modules and $ϕ:G→H$ be a module homomorphism. Then $ϕ$ is a module isomorphism iff $ϕ$ is a bijection.
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