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

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

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

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

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

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...

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...

{\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 ∧...

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...

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...

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

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

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

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

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

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

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...

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...

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

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

Boolean algebra, with ring multiplication corresponding to conjunction or meet ∧, and ring addition to exclusive disjunction or symmetric difference (not...

education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level that is designed to prepare students for the...

Computer Algebra Program Maxima - a Tutorial (in Maxima documentation on SourceForge). Archived from the original on 2022-10-04. "Basic Algebra and Calculus...

homomorphisms, the kernels of module homomorphisms and certain other kernels from algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general"...

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...