# 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.

 Type to find tags:
 hodge-theory× 87 The study of relations between, one the one hand, the topology of a smooth manifold as encoded in the cohomology groups, and on the other, the set of solutions to the Laplace operator on differential … newton-raphson× 87 stationary-processes× 86 For questions about strictly stationary or stationary in the wide sense sequences or processes. Questions about deterministic stationary processes (in the case of discrete dynamical systems) are welco… affine-schemes× 86 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 commut… meta-math× 85 the term for the theory in which mathematics is formalized (often PA, ZFC or similar theories). Meta-mathematical statements are statements which are evaluated at the level of the meta-… pseudoinverse× 84 The operator $A^+$ which best approximates a solution to linear equations $Ax+b=0$ even if $A$ is singular. graded-modules× 84 formal-grammar× 84 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… coherent-sheaves× 83 In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a specific class of sheaves having particularly manageable properties closely linked to the g… collatz× 83 Dynamics of the iterated map $n \to 3n+1$ if $n$ is odd and $n \to \frac n2$ if $n$ is even. Generalizations to $n \to 3n-1$ or $n \to 5n+1$ or even to $n \to pn+q$ . Other names are "$3x+1$-proble… model-categories× 83 categories with three distinguished classes of morphisms: the weak equivalences, the fibrations and the cofibrations. They provide a natural setting for (homotopy-theory) in an ar… publishing× 82 for questions about publishing mathematical content prime-twins× 82 For questions on prime twins. semigroup-of-operators× 82 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 mathematic… computational-algebra× 82 an area of algebra that seeks efficient algorithms to answer fundamental problems concerning basic algebraic objects (groups, rings, fields, etc.). For questions about generic… bifurcation× 82 the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a … associativity× 82 the property shared by many binary operations including group operations. For a binary operation $\cdot$, associativity holds if $(x\cdot y)\cdot z = x \cdot(y\cdot z)$. complex-dynamics× 81 the study of dynamical systems of functions over complex numbers. arithmetic-progressions× 80 Questions related to arithmetic progressions (sequences with a constant difference between the terms) geometric-algebras× 80 Clifford algebras over the real numbers. They are applied in geometry and theoretical physics. noncommutative-geometry× 80 a study of noncomutative algebras from geometrical point of view. The motivation of this approach is Gelfand representation theorem, which shows that every commutative C*-al… nets× 79 a generalization of a sequence where a directed set is used as the index set instead of positive integers. Convergence of nets can be defined in a similar way as convergence of sequences. … pell-type-equations× 79 Questions on finding integer solutions to bivariate equations of the form $x^2-Dy^2=a$. finite-automata× 79 combinatorial-designs× 79 For questions about Combinatorial design theory, a part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy gen… chebyshev-polynomials× 79 In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's formula and which can be defined recursively. theta-functions× 79 For questions about $\theta$ functions (special functions of several complex variables). symmetric-functions× 78 symmetric in its arguments. abelian-varieties× 77 In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that… eulers-constant× 77 For questions related to Euler's constant, which is defined to be the limiting difference between the natural logarithm and the harmonic series. dimensional-analysis× 77 The study of the relationships between physical quantities by identifying their units of measure and fundamental dimensions. It is used to convert from one set of units to others such as from miles p… poker× 77 a card game with several variants (Draw, Texas Hold'em, ...), the common goal being to collect face value patterns such as "four of a kind", "full house" or "straight" or all of a suit ("flus… plane-geometry× 77 a subfield of Euclidean geometry, restricted to the flat two-dimensional space. Plane geometry studies shapes, ratios and relative locations of 2D figures which can be embedded into … rigid-transformation× 77 mappings from one reference frame to another reference frame in the Euclidean space $\mathbb R^n$. They comprise translation, rotation (and sometimes reflection). More for… schwartz-space× 76 For question about the Schwartz space, a vector space of smooth functions stable under the Fourier transform. experimental-mathematics× 76 The utilization of advanced computing technology in mathematical research: new mathematical results discovered partly or entirely with the aid of computer-based tools.