v on the other basis. A change of basis consists of converting every assertion expressed in terms of coordinates relative to one basis into an assertion...

of vectors in a vector space V is called a basis (pl.: bases) if every element of V may be written in a unique way as a finite linear combination of elements...

of an ideal: Gröbner basis Hilbert's basis theorem Generating set of a group Base (topology) Change of basis Greedoid Normal basis Polynomial basis Radial...

a change of basis can result in a simpler form of the same transformation. For example, the matrix representing a rotation in R3 when the axis of rotation...

quantitative description of certain geometric or physical entities changes with a change of basis. Briefly, a contravariant vector is a list of numbers that transforms...

information on climate change. Three Working Groups (WGI, II, and III) covered the following topics: The Physical Science Basis (WGI); Impacts, Adaptation...

In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context: In a coordinate...

purposes of coding theory and cryptography. Construction of the fiber product of schemes, in algebraic geometry. Change of basis Base change (disambiguation)...

the components of the tensor respond to a change of basis. The components of a vector can respond in two distinct ways to a change of basis (see Covariance...

(2021). "Chapter 2: Changing state of the climate system" (PDF). Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the...