Tags
A tag is a keyword or label that categorizes your question with other, similar questions.
For questions about Legendre polynomials, which are solutions to a particular differential equation that frequently arises in physics.
641 questions
This tag is for questions relating to the special properties of entire functions, functions which are holomorphic on the entire complex plane. Use with the tag (complex-analysis).
641 questions
Actuarial science is a discipline that uses mathematics and statistics to assess risk. The mathematics involved in actuarial science includes probability, statistics, finance, life insurance mathematics, and more.
641 questions
In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point. The divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point. For questions about divergent sequences use [tag:convergence-divergence]
640 questions
A method of obtaining (numerically) approximate solutions to (usually) differential equations. It consists of a method of discretization splitting the domain into disjoint subdomains over each of which the problem has a simpler (approximate) solution, and a method of reassembling those pieces to obtain a solution over the whole domain. It is closely tied to the calculus of variations.
637 questions
For questions related to theory of semigroups of linear operators and its applications to partial differential equations, stochastic processes such as Markov processes and other branches of mathematics.
636 questions
1. From a samples of a small samples of mathematical objects, conjecture a common pattern to all of them. This includes "guess the next terms in the sequence" question (consider checking OEIS first). Please provide as much context as possible.
2. Mathematical ideas related to pattern recognition, subfields of AI and statistics. Please check first if StackOverflow, Computer Science Stack Exchange, or Cross Validated is more appropriate.
636 questions
For questions on the convex hull of a set, a set $X$ of points in a Euclidean space which is the smallest convex set that contains $X$. Consider adding (convex-analysis), or, for questions related to algorithms, (computational-geometry) and/or (discrete-geometry).
635 questions
Questions on Bézier curves, which are used for numerical analysis with applications
in computer graphics.
630 questions
A smooth piecewise-defined curve formed by joining segments together, end-to-end. The segments are usually described by polynomial or rational functions. Splines are typically used for approximation or data fitting.
627 questions
For questions about the use of maximum principle, either in the context of partial differential equations or complex analysis.
624 questions
For questions about the structure of product space, in the context of topology (including metric and normed spaces) or measure theory. Use other tags to indicate the context.
623 questions
Probabilities of random geometric objects having certain properties (enclosing the origin, having an acute angle,...); expected counts, areas, ... of random geometric objects. For questions about the geometric distribution, use (probability-distributions) instead.
620 questions
For problems on the distribution of $m$ distinct or identical balls into $n$ distinct or identical bins, optionally with restrictions.
619 questions
For questions about the Beta function (also known as Euler's integral of the first kind), which is important in calculus and analysis due to its close connection to the Gamma function. It is advisable to also use the [special-functions] tag in conjunction with this tag.
612 questions
In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
610 questions
Dynamic programming is a mathematical optimization/programming approach applicable if an optimal solution can be constructed efficiently from optimal solutions of its subproblems. A classic example is the Towers of Hanoi.
609 questions
A monoidal category, also called a tensor category, is a category $\mathcal{C}$ equipped with a bifunctor $\otimes\colon \mathcal{C}\times\mathcal{C}\to \mathcal{C}$ which is associative up to a natural isomorphism, and an object $\mathbb{1}$ which is both a left and right identity for $\otimes$ up to a natural isomorphism.
606 questions
For questions on arithmetic functions, i.e. real or complex valued functions defined on the set of natural numbers.
606 questions
For questions on elementary functions, functions of one variable built from a finite number of polynomials, exponentials and logarithms through composition and combinations using the four elementary operations $(+, –, ×, ÷)$.
602 questions
Questions about the process of learning mathematics, both inside and outside a formal environment, including learning strategies, recommendations for learning particular subjects, and studying habits.
598 questions
For questions about groups where the underlying set has infinite cardinality.
598 questions
For questions about the mathematics behind gambling, such as the expected value of a game or the efficiency of a gambling strategy.
598 questions
For questions related to the study of properties of a graph in relationship to the spectral properties of some associated matrix.
597 questions
For questions about proving and manipulating functional inequalities.
596 questions
The spectrum of a commutative ring with unit is the set of prime ideals endowed with the Zariski topology. One can define a sheaf of rings on this space : to each Zariski-open set is assigned a commutative ring, thought of as the ring of "polynomial functions" defined on that set. This topological space endowed with this sheaf is called the spectrum of the ring. Every locally ringed space isomorphic to such a spectrum is called an affine scheme.
593 questions
Use this tag for the error and complementary error functions (erf and erfc). These are special functions formed by taking definite integrals of the Gaussian/normal distribution function.
592 questions
Use this tag for questions about free groups and presentations of a group by generators and relations.
591 questions
In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function. That is to say, c is a fixed point of the function f(x) if and only if f(c) = c. A set of fixed points is sometimes called a fixed set.
590 questions
For questions about topological or metric notions of dimension, including the Lebesgue, small and large inductive, Hausdorff, and packing dimensions, etc. and for questions regarding fractal geometry and analysis. Use [linear-algebra] instead for questions about the dimension of vector spaces. Also note [dimension-theory-algebra].
589 questions
For questions about ring homomorphisms, a function between two rings which respects the structure.
587 questions
A linear differential equation is called homogeneous if the following condition is satisfied: If $\phi(x)$ is a solution, so is $c \phi(x)$, where c is an arbitrary (non-zero) constant. (Def: http://en.m.wikipedia.org/wiki/Homogeneous_differential_equation)
584 questions
For questions about primitive roots in modular arithmetic, index calculus, and applications in cryptography. For questions about primitive roots of unity, use the (roots-of-unity) tag instead.
582 questions