mathematics, a half-integer is a number of the form n + 1 2 , {\displaystyle n+{\tfrac {1}{2}},} where n {\displaystyle n} is an integer. For example,...

is a particle that follows Fermi–Dirac statistics. Fermions have a half-odd-integer spin (spin 1/2, spin 3/2, etc.) and obey the Pauli exclusion principle...

n^{\tfrac {1}{2}}={\sqrt {n}}.} A hemiperfect number is a positive integer with a half-integer abundancy index: σ ( n ) n = k 2 , {\displaystyle {\frac {\sigma...

an integer value (0, 1, 2, ...). Bosons form one of the two fundamental classes of subatomic particle, the other being fermions, which have odd half-integer...

integer. Rounding a number x to the nearest integer requires some tie-breaking rule for those cases when x is exactly half-way between two integers –...

mathematics. Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at...

exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot simultaneously occupy the same quantum state...

cases are when α {\displaystyle \alpha } is an integer or half-integer. Bessel functions for integer α {\displaystyle \alpha } are also known as cylinder...

Hurwitz integer) is a quaternion whose components are either all integers or all half-integers (halves of odd integers; a mixture of integers and half-integers...

(n-k+1)}}\left(2z\right)^{-k}} . This allows for the Matérn covariance of half-integer values of ν {\displaystyle \nu } to be expressed as C p + 1 / 2 ( d )...