Map algebra is an algebra for manipulating geographic data, primarily fields. Developed by Dr. Dana Tomlin and others in the late 1970s, it is a set of...
15 KB (1,923 words) - 09:05, 15 October 2023
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...
64 KB (7,780 words) - 04:31, 11 August 2024
also called a regular map. A morphism from an algebraic variety to the affine line is also called a regular function. A regular map whose inverse is also...
26 KB (4,319 words) - 09:17, 7 October 2024
In mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center...
30 KB (4,256 words) - 14:00, 30 September 2024
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of statements within those...
136 KB (13,509 words) - 10:40, 21 October 2024
In mathematics, a Lie algebra (pronounced /liː/ LEE) is a vector space g {\displaystyle {\mathfrak {g}}} together with an operation called the Lie bracket...
61 KB (10,459 words) - 23:14, 17 September 2024
linear map f from V to a commutative algebra A, there is a unique algebra homomorphism g : S(V) → A such that f = g ∘ i, where i is the inclusion map of V...
13 KB (2,034 words) - 13:17, 31 January 2024
"linear transformation" in linear algebra, etc. Some authors, such as Serge Lang, use "function" only to refer to maps in which the codomain is a set of...
6 KB (708 words) - 22:05, 28 July 2024
In the theory of Lie groups, the exponential map is a map from the Lie algebra g {\displaystyle {\mathfrak {g}}} of a Lie group G {\displaystyle G} to...
13 KB (2,207 words) - 21:53, 8 July 2024
A Karnaugh map (KM or K-map) is a diagram that can be used to simplify a Boolean algebra expression. Maurice Karnaugh introduced it in 1953 as a refinement...
30 KB (3,558 words) - 17:05, 10 October 2024