Standard Basis
The coordinate space Fn comes with a standard basis:
where 1 denotes the multiplicative identity in F. To see that this is a basis, note that an arbitrary vector in Fn can be written uniquely in the form
Read more about this topic: Coordinate Space
Famous quotes containing the words standard and/or basis:
“An indirect quotation we can usually expect to rate only as better or worse, more or less faithful, and we cannot even hope for a strict standard of more and less; what is involved is evaluation, relative to special purposes, of an essentially dramatic act.”
—Willard Van Orman Quine (b. 1908)
“Association with women is the basis of good manners.”
—Johann Wolfgang Von Goethe (17491832)