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An open research record on the Riemann Hypothesis.

NAV READY · TYPE SHORTCUT · ENTER EXECUTES

Vector

Category
STANDARD MATHEMATICS
Definition
An ordered collection of numbers or components, often representing a point, direction or state.
Math Level
GENERAL

A vector is an ordered collection of numbers or components that can be added and scaled.

Vectors provide the weights or coordinates used in expressions such as quadratic forms and inner products. In matrix positivity, the test x∗Ax≥0x^*Ax\ge0 must hold for every vector xx.

See also: matrix, quadratic form, inner product, positive semidefinite matrix..

Related glossary terms

  1. [..]Inner productGLOSSARY · STANDARD MATHEMATICS
  2. [..]MatrixGLOSSARY · STANDARD MATHEMATICS
  3. [..]Positive semidefinite matrixGLOSSARY · STANDARD MATHEMATICS
  4. [..]Quadratic formGLOSSARY · STANDARD MATHEMATICS

Read this term in context

  1. [..]Hilbert spaceARTICLE · ART-RC-0064
  2. [..]Inner productARTICLE · ART-RC-0063
  3. [..]MatrixARTICLE · ART-RC-0059
  4. [..]Positive semidefinite matrixARTICLE · ART-RC-0057
  5. [..]Quadratic formARTICLE · ART-RC-0058