Axiom and Linear algebra

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

Difference between Axiom and Linear algebra

Axiom vs. Linear algebra

An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

Abstract algebra and Axiom · Abstract algebra and Linear algebra · See more »

Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

Axiom and Commutative property · Commutative property and Linear algebra · 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.

Axiom and Field (mathematics) · Field (mathematics) and Linear algebra · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Axiom and Geometry · Geometry and Linear algebra · See more »

Giuseppe Peano

Giuseppe Peano (27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist.

Axiom and Giuseppe Peano · Giuseppe Peano and Linear algebra · See more »

Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

Axiom and Isomorphism · Isomorphism and Linear algebra · See more »

Line (geometry)

The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.

Axiom and Line (geometry) · Line (geometry) and Linear algebra · See more »

Mathematics

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

Axiom and Mathematics · Linear algebra and Mathematics · See more »

Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

Axiom and Quantum mechanics · Linear algebra and Quantum mechanics · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Axiom and Real number · Linear algebra and Real number · See more »

Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

Axiom and Representation theory · Linear algebra and Representation theory · See more »

Special relativity

In physics, special relativity (SR, also known as the special theory of relativity or STR) is the generally accepted and experimentally well-confirmed physical theory regarding the relationship between space and time.

Axiom and Special relativity · Linear algebra and Special relativity · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Axiom and Vector space · Linear algebra and Vector space · See more »