General mathematics

General mathematics

Mathematical terms covering a number of sub-fields such as algebra, geometry, trigonometry, calculus and others.

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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 topology is called a ...

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 rings with finite ...

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, n\} . When the above ...

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 multiplying the ...

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, S=\{x_1^{k_1}x_2^{k_2}\ldots ...

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.