Sentence examples for identity element from inspiring English sources

Dictionary

identity element

noun

A member of a structure which, when applied to any other element via a binary operation, induces an identity mapping; more specifically, given an operation *, an element I is

  • A left identity if I * x = x for any x in the structure

Exact(60)

This element is called the identity element of the group.

The lissajous curve is used as an identity element in Octavo's corporate design.

The order of g is the smallest n = 1, 2,... such that gn = e the identity element.

An element has finite order if its product with itself eventually produces the identity element for the group.

The results are linked to the existence of an identity element in the Banach algebra generated by the semigroup.

Let Le(G) be the based loop group with the base point e which is the identity element.

For, is the identity element.

For, one puts, the identity element.

(V3) An identity element exists for addition.

(V8) e is the identity element of scalar multiplication.

"We're big believers in mobile phone numbers being the key identity element," explains Castleman.

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