Hermite's problem [SEP] named after
Hermite's problem
Hermite's problem is an open problem in mathematics posed by Charles Hermite in 1848. He asked for a way of expressing real numbers as sequences of natural numbers, such that the sequence is eventually periodic precisely when the original number is a cubic irrational.
Motivation.
A standard way of writing real numbers is by their decimal representation, such as:
where "a" is an integer, the integer part of "x", and "a", "a", "a
free of unique rank
Hermite's.
- Hermite's cotangent identity, a trigonometric identity
- Hermite's identity, an identity on fractional parts of integer multiples of real numbers
- Hermite's problem, an unsolved problem on certain ways of expressing real numbers
- Hermite's theorem, that there are only finitely many algebraic number fields of discriminant less than a given magnitude
Hermitian.
- Einstein–Hermitian vector bundle
- Hermitian adjoint
- Hermitian connection, the unique connection on a Hermitian manifold that