Difference algebra is a branch of mathematics concerned with the study of difference (or functional) equations from the algebraic point of view. Difference...

a σ-algebra ("sigma algebra") is part of the formalism for defining sets that can be measured. In calculus and analysis, for example, σ-algebras are used...

In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...

In database theory, relational algebra is a theory that uses algebraic structures for modeling data and defining queries on it with well founded semantics...

mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables...

continuity. The generalized difference can be seen as the polynomial rings R[Th]. It leads to difference algebras. Difference operator generalizes to Möbius...

{\Delta } f^{-1}\left(B\right).} The symmetric difference can be defined in any Boolean algebra, by writing x Δ y = ( x ∨ y ) ∧ ¬ ( x ∧ y ) = ( x ∧...

Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...

algebra, a difference of two squares is one squared number (the number multiplied by itself) subtracted from another squared number. Every difference...

are approximated by solving algebraic equations containing finite differences and values from nearby points. Finite difference methods convert ordinary differential...

polynomial algebras are used for the study of algebraic varieties, which are solution sets of systems of polynomial equations. Weyl algebras and Lie algebras may...

Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until...

ring. If the algebra is not unital, it may be made so in a standard way (see the adjoint functors page); there is no essential difference between modules...

Algebraic notation is the standard method of chess notation, used for recording and describing moves. It is based on a system of coordinates to identify...

In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the...

an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions...

list of topics around Boolean algebra and propositional logic. Algebra of sets Boolean algebra (structure) Boolean algebra Field of sets Logical connective...

mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure...

In mathematics, the algebra of sets, not to be confused with the mathematical structure of an algebra of sets, defines the properties and laws of sets...

mathematics, the symmetric algebra S(V) (also denoted Sym(V)) on a vector space V over a field K is a commutative algebra over K that contains V, and...

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...

A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in...

element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing...

In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal...

In algebra, the kernel of a homomorphism (function that preserves the structure) is generally the inverse image of 0 (except for groups whose operation...

Nakayama algebra is k[x]/(xn) for k a field and n a positive integer. Current usage of uniserial differs slightly: an explanation of the difference appears...

In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...

In mathematics, a Poisson algebra is an associative algebra together with a Lie bracket that also satisfies Leibniz's law; that is, the bracket is also...

a complete Boolean algebra is a Boolean algebra in which every subset has a supremum (least upper bound). Complete Boolean algebras are used to construct...