Tags
A tag is a keyword or label that categorizes your question with other, similar questions.
For questions regarding the Nash equilibrium solution concept in strategic games.
582 questions
Use this tag for questions related to an affine variety over an algebraically-closed field.
582 questions
This tag is for questions regarding to the tangent space, the linear space that best approximates an object at a given point. Intuitively, the tangent space $ T_p(M)$ at a point $ p$ on an $ n$-dimensional manifold $ M$ is an $ n$-dimensional hyperplane in $ {\mathbb{R}}^m$ that best approximates $ M$ around $ p$, when the hyperplane origin is translated to $ p$.
580 questions
In linear algebra, the transpose of a matrix is another matrix whose i-th row and j-th column is the j-th row and i-th column of the original matrix.
579 questions
This tag is for questions relating to projection matrix, which is an square matrix that gives a vector space projection from to a subspace.
579 questions
The term "constructive mathematics" refers to the discipline in mathematics in which one proves the existence of mathematical objects only by presenting a construction that provides such an object. Indirect proofs involving proof by contradiction and law of excluded middle are considered nonconstructive. Constructivism is the philosophical stance that the only "true" mathematics is constructive mathematics.
576 questions
For question regarding the notion of orientation both in topology and in global analysis.
574 questions
The area of statistics that provides descriptions of data, may it be samples or the population. This includes graphical representations and numerical indicators. No information is inferred from samples about the population, as in inferential statistics.
573 questions
This tag is for questions about Green's theorem. Green's theorem gives the relationship between a line integral around a simple closed curve $C$ and a double integral over the plane region $D$ bounded by $C$.
572 questions
For questions about mathematical constants, that are "significantly interesting in some way".
568 questions
Questions relating to deductions relating to the expressions "it is necessary that" and "it is possible that"
566 questions
Questions on doubly periodic functions on the complex plane such as Jacobi and Weierstrass elliptic functions.
564 questions
A computer algebra system (CAS) is a program which is able to carry out various symbolic manipulations with mathematical expressions. Some well-known computer-algebra systems are Mathematica, Maple, Wolfram Alpha, GAP, SAGE. Questions on this site about computer algebra systems should be mathematical in nature, and not just about the syntax or the mechanics of the CAS. Otherwise the question would be better suited for a different Stack Exchange site.
564 questions
Reflection is a transformation that fixes a line or plane or a more general subset. Reflections appear in geometry, linear algebra, complex analysis, differential equations, etc -- therefore, this tag must be used with a tag describing the area of mathematics.
561 questions
A finite simplicial complex can be defined as a finite collection $K$ of simplices in $\mathbb{R}^N$ that satisfies the following conditions : (1) Any face of a simplex from $K$ is also in $K$ and (2) The intersection of any two simplices in $K$ is a face of both simplices.
559 questions
For questions about manifolds with boundaries, as well as manifolds with corners, and other such generalisations of the notion of a manifold.
558 questions
Outer measure on $X$ is a function $ \phi : 2^X \rightarrow
[0,\infty]$ defined on all subsets on $X$ that satisfies the
following : (1) $\phi ( \emptyset )=0$ (2) Monotonicity : $A\subset
B$ implies $\phi (A)\leq\phi (B)$ and (3) Countable subadditivity :
$\phi (\bigcup_{i=1}^\infty A_j) \leq \sum_{j=1}^\infty \phi (A_j) $
554 questions
Clifford algebras are associative algebras constructed from quadratic forms on vector spaces. They can be viewed as generalizations of the real numbers, complex numbers, and quaternions. These algebras have applications in geometry and theoretical physics.
553 questions
Proving or manipulations with inequalities by using Hölder's inequality.
551 questions
Linear control theory is the sub-branch of control theory dealing with linear or linearized systems.
549 questions
In mathematics, higher category theory is the part of category theory at a higher order, which means that some equalities are replaced by explicit arrows in order to be able to explicitly study the structure behind those equalities. (Def: http://en.m.wikipedia.org/wiki/Higher_category_theory)
549 questions
For questions about the iterated map $n \mapsto 3n+1$ if $n$ is odd and $n \mapsto \frac n2 $ if $n$ is even, and its generalizations.
545 questions
Use this tag for questions about free modules and related notions as projective modules or free abelian groups. This tag should be used together with the tags of abstract algebra and modules.
543 questions
For questions involving Cartier and Weil divisors, the Riemann-Roch theorem and related topics (e.g. Chern classes and line bundles) on algebraic varieties.
543 questions
For questions about well-orderings and well-ordered sets. Depending on the question, consider adding also some of the tags (elementary-set-theory), (set-theory), (order-theory), (ordinals).
538 questions
The operator which best approximates a solution to a linear system with a singular (non-invertible) matrix.: e.g., the Moore-Penrose pseudoinverse. Use when a question concerns a matrix that is probably singular.
536 questions
For questions on nonlinear analysis, a branch of mathematical analysis that deals with nonlinear mappings.
533 questions
For questions on the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the mass of each or the forces that caused the motion.
530 questions
Non-standard ordered fields are fields which have infinitesimals, that is, positive numbers which are smaller than any positive *real* number. Non-standard analysis is analysis done over such fields (e.g. hyperreal fields). Please specify the exact framework for non-standard analysis you are using in your question (e.g., what definition of "hyperreal number" you are using).
524 questions
For questions about Hopf algebras and related concepts, such as quantum groups. The study of Hopf algebras spans many fields in mathematics including topology, algebraic geometry, algebraic number theory, Galois module theory, cohomology of groups, and formal groups and has wide-ranging connections to fields from theoretical physics to computer science.
522 questions
For questions about universal properties of various mathematical constructions.
521 questions