Explore: Difference Algebra

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

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

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

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

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

{\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 ∧

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