Hermite's identity [SEP] named after
Hermite's identity
In mathematics, Hermite's identity, named after Charles Hermite, gives the value of a summation involving the floor function. It states that for every real number "x" and for every positive integer "n" the following identity holds:
Proof.
Split formula_2 into its integer part and fractional part, formula_3. There is exactly one formula_4 with 
By subtracting the same integer formula_6 from inside the floor operations on the left and right sides of this inequality, it may be rewritten as
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