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is a discipline to apply analytical methods for better decisions. It has many synonyms such as management science, decision science and system science.
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In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. (Def: http://en.m.wikipedia.org/wiki/Quantum_group)
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associative algebras constructed from quadratic forms on vector spaces. They can be viewed as generalizations of the real numbers, complex numbers, and quaternions. These algebra…
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Questions on the differentiation/integration of functions to arbitrary order.
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isomorphic if they have a function $f$ which provides an exact pairing of vertices in the two graphs such that for any adjacent vertices $u,v\in \{\mbox{set of vertices of }…
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For questions on Catalan numbers, a sequence of natural numbers that occur in various counting problems.
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a series of challenging mathematical/computer programming problems. Please see the site and rules before posting.
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For questions about or related to multisets, a notion similar to sets with the difference that elements can be repeated.
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For questions about the numerical value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.
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Potential theory concerns solutions of elliptic partial differential equations (especially Laplace's equation) that are represented by integration against a measure or a more general distribution.
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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 ta…
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the aspect of sheaf theory, concerned with sheaves of abelian groups, that applies homological algebra to make possible effective calculation of the global sections…
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a construction in group theory generalizing the direct product. It arises as the structure of a group $G$ with a normal subgroup $N$ having a complement $N$.
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Questions relating to the golden ratio $\varphi = \frac{1+\sqrt{5}}{2}$
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For questions on Dirichlet series.
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a ring constructed from a group $G$ and ring $R$. A special case of this construction is group algebra, which occurs naturally in representation theory.
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For questions about or related to polylogarithm functions.
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a subset of a ring that shares many important properties of a prime number in the ring of integers. (Def: http://en.m.wikipedia.org/wiki/Prime_ideal)
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a common generalization of linearly independent sets and independent sets in graphs. Among other applications, they are exactly the simplical complexes in which the greedy algorithm outpu…
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an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear integral are also used.
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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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In mathematics, a monoidal category (or tensor category) is a category C equipped with a bifunctor ⊗ : C × C → C which is associative up to a natural isomorphism, and an object I which is both a lef…
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The concept of regularity concerns the smoothness of weak solutions to partial differential equations.
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An algorithm for determining whether an input number is prime.
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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:…
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In mathematics, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. (Def: http://…
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For questions on dihedral groups, the group of symmetries of a regular polygon, including both rotations and reflections
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For questions on propagation of errors.
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For questions regarding finitely generated groups. If S is finite, then a group $G = \langle S\rangle$ is called finitely generated.
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For questions regarding mathematical concepts with applications to Biology.
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For questions about groups where the underlying set has infinite cardinality.
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In the mathematical field of topology, a uniform space is a set with a uniform structure. (Def: http://en.m.wikipedia.org/wiki/Uniform_space)
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a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions. (Def: http://en.m.wi…
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In mathematics, certain functors may be derived to obtain other functors closely related to the original ones. (Def: http://en.m.wikipedia.org/wiki/Derived_functor)
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properties of topological space which, roughly speaking, say in what way two points, a point and a closed set, or two closed sets can be "separated".