Version pour impression

Consultez le glossaire à l'aide de cet index

Spécial | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Tout

B

Basis

Noun
Plural: bases

Pronunciation
/'beɪsɪs/ listen

Meaning
A basis is a set of vectors that generates all elements of the vector space and the vectors in the set are linearly independent.
More formally: Let V be a vector space over a fieldF. A subset M which generates the vector space V and which is a linearly independent subset is called a basis of vector space V.
The subset M satisfies the linear independence property and the spanning property.

Examples
Canonical basis {e1, e2, ... en} in F n

The figure shows the basis vectors i,j, k, and the vector a is a linear combination of them.



Etymology
From Latin basis and Greek βάσις

Sources
OED
Figure from WIKIPEDIA

 

Bijection

Noun
Prefix: bi-

Pronunciation
/bʌɪ'dʒɛkʃ(ə)n/ listen

Meaning
A class of functions whose each element of codomain is mapped to by exactly one element of the domain, i.e. the function is both injective and surjective.

Example


Synonyms
Bijective function, one-to-one correspondence, invertible function

Similar words
Bijective adjective /bʌɪ'dʒɛktɪv/ listen

Etymology
The term introduced by Nicolas Bourbaki. The prefix bi- means two, twice.

Source
OED


◄ The Monster
Polynomial ►