Sentence examples for be the characteristic function from inspiring English sources

Let be the interference received at the disk center, and be the characteristic function of.

For let π be the characteristic function associated with the parthood relation denoted by the basic mereological primitive, 'P'.

Let K be a compact subset of G, and let (chi_{K}) be the characteristic function of K.

where C L j ( t ) is said to be the characteristic function, and χ 1, 2 ( t ) are the phase functions.

Let (chi_{i}) be the characteristic function of (U_{i}^{frac {3}{4}vandputlambda_{i} put (lambda_{i}^{varepsilon} (x ):= chi_{i}*rho_{frac{1}{4}varepsilon}) (x )).

Now consider a randomly chosen permutation π of [ N ], and let s → k, π ( 0 ) be the characteristic function of the set { j : π ( j ) < k }.

Let ϕ(t) and ψ(t) be the characteristic functions of S n ′ and H n, respectively.

Let (varphi(t)) and (psi(t)) be the characteristic functions of (S_{n}^{prime}) and (T_{n}), respectively.

Let ϕ1 t) and ψ1 (t) be the characteristic functions of S n 111 ′ and Tn 1, respectively.

We prove the nonlinear Schrödinger equation has a local solution for any energy – subcritical nonlinearity when u0 is the characteristic function of a ball in Rn.

where I is the characteristic function.