Mathematics

Mathematics

Of or pertaining to the study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols.

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Mathematics > General mathematics

profinite group

Mathematics; General mathematics

Any group G can be made into a topological group by defining the collection of all subgroups of finite index to be a neighborhood base of the identity. A group with this ...

quadratic programming

Mathematics; General mathematics

Theoretical concepts and methods for minimizing or maximizing quadratic functions on sets X with constraints determined by linear equations and linear inequalities.

quasi-semilocal ring

Mathematics; General mathematics

A commutative ring with only finite number of maximal ideals. Such rings are often called semilocal rings, although some authors reserve the term semilocal ring for Noetherian ...

diagonally dominant matrix

Mathematics; General mathematics

An n\times n matrix A = (a_{ij}) with entries from the complex field is called row diagonally dominant if |a_{ii}| \ge\sum_{k\neq i}|a_{ik}| for each i\in \{1, 2,\ldots, ...

division of complex numbers

Mathematics; General mathematics

For real numbers a, b, c , and d , the expression \frac{a+bi}{c+di}=\frac{ac+bd}{c^2+d^2}+\frac{bc-ad}{c^2+d^2}i is a division of complex numbers. This formula consists of ...

lexicographic linear ordering

Mathematics; General mathematics

An ordering which treats numbers as if they were letters in a dictionary. As an example, suppose S is a set of monomials of degree n in m variables: that is, ...

irreducible co-algebra

Mathematics; General mathematics

A co-algebra in which any two non-zero sub co-algebras have non-zero intersection. A co-algebra C is irreducible if and only if C has a unique simple sub co-algebra.