Linear map and Zero element

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Linear map and Zero element

Linear map vs. Zero element

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication. In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures.

Category (mathematics)

In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is an algebraic structure similar to a group but without requiring inverse or closure properties.

Category (mathematics) and Linear map · Category (mathematics) and Zero element · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Field (mathematics) and Linear map · Field (mathematics) and Zero element · See more »

Function composition

In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.

Function composition and Linear map · Function composition and Zero element · See more »

Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

Linear map and Linear map · Linear map and Zero element · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Linear map and Mathematics · Mathematics and Zero element · See more »

Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Linear map and Matrix (mathematics) · Matrix (mathematics) and Zero element · See more »

Module (mathematics)

In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.

Linear map and Module (mathematics) · Module (mathematics) and Zero element · See more »

Pointwise

In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value f(x) of some function f. An important class of pointwise concepts are the pointwise operations — operations defined on functions by applying the operations to function values separately for each point in the domain of definition.

Linear map and Pointwise · Pointwise and Zero element · See more »

Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

Linear map and Ring (mathematics) · Ring (mathematics) and Zero element · See more »

Tensor

In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.

Linear map and Tensor · Tensor and Zero element · See more »