# Tags

A tag is a keyword or label that categorizes your question with other, similar questions. Using the right tags makes it easier for others to find and answer your question.

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For questions about integration methods that use results from complex analysis and their applications
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How can we build computer systems that automatically improve with experience, and what are the fundamental laws that govern all learning processes?
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the process of repeating items in a self-similar way. A recursive definition (or inductive definition) in mathematical logic and computer science is used to define an object in terms of i…
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for questions on the concept of infinity. Don't use this tag merely because $\infty$ appears somewhere in the question.
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Questions about real numbers not expressible as the quotient of two integers. For questions on determining whether a number is irrational, use the (rationality-testing) tag instead.
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For questions on vector bundles, a topological construction that makes precise the idea of a family of vector spaces parameterized by another space $X$.
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For questions on Lagrange multipliers, a strategy to solve constrained optimisation problems.
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For questions regarding $\varepsilon$-$\delta$ definitions of limits and continuity.
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an algebraic variety of dimension one. An affine algebraic curve can be described as the zero-locus of $n-1$ independent polynomials of $n$ variables in affine $n$-space over a f…
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Questions about Turing computability and recursion theory, including the halting problem and other unsolvable problems. Questions about the resources required to solving particular problems should be …
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Should be used with the (group-theory) tag. Symmetric group is a group consisting of all permutations of given finite set with composition as the binary operation.
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For questions on suprema and infima. Use together with a subject area tag, such as (real-analysis) or (order-theory).
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In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest valu…
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Questions on the famed $\zeta(s)$ function of Riemann, and its properties.
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the probability that an event occurs given something else has already occurred.
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Use with the (group-theory) tag. Groups describe the symmetries of an object through their actions on the object. For example, dihedral groups of order $2n$ act on regular $n$-gons, $S_n$ acts on the …
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a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modelling.
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a complex Banach algebra together with an isometric antilinear involution satisfying $(ab)^*=b^*a^*$ and the C*-identity $\Vert a^*a\Vert=\Vert a\Vert^2$. Related tags: (banach-algebra…
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closely related to perspective geometry. These types of geometry originated with artists around the 14th century.
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can be used to refer to the orthogonality of a set of vectors, a matrix or a linear transformation.
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Questions on the Fibonacci numbers, a special sequence of integers that satisfy the recurrence $F_n=F_{n-1}+F_{n-2}$ with the initial conditions $F_0=0$ and $F_1=1$.
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For questions about the set of integers, or positive and negative whole numbers, commonly denoted $\mathbb{Z}$.
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For questions related to the binomial theorem, which describes the algebraic expansion of powers of binomials.
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For questions relating to the properties of Cauchy sequences.
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A stochastic process satisfying the Markov property: the distribution of the future states given the value of the current state does not depend on the past states. Use this tag for general state space…
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The concept of scheme mimics the concept of manifold obtained by glueing pieces isomorphic to open balls, but with different "basic" glueing pieces. Properly, a scheme is a locally ringed space locall…
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The greatest common divisor of two or more integers is the largest integer that divides all of them (if it exists).
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Questions about matrix decompositions, such as the LU, Cholesky, SVD (Singular value decomposition) and eigenvalue-eigenvector decomposition.
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For questions about matrix diagonalization, that is, writing a matrix, a bilinear form or an operator into a "basis" making this one diagonal. This tag is **NOT** for diagonalization arguments from lo…
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an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamical systems with inputs. The desired trajectory of the output of a system is called t…
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a group endowed with a topology such that the group operation and inversion are continuous maps. They are useful in various areas of mathematics. Every topological vector space …
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Questions about numbers expressible as the quotient of two integers. For questions on determining whether a number is rational, use the (rationality-testing) tag instead.
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a homogeneous polynomial of degree two (in any number of variables), for example $4x_1^2 + 3x_1x_2 + 5x_1x_3 - 8x_3^2$.
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Questions on the mathematical aspects of signal processing. Please consider first if your question might be more suitable for http://dsp.stackexchange.com/
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For questions on random walks, a mathematical formalization of a path that consists of a succession of random steps.
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For questions involving the notion of independence of events, of independence of collections of events, or of independence of random variables. Use this tag along with (probability) or (probability-th…