Sentence examples for by the characteristic function from inspiring English sources

For every set we denote by the characteristic function of the set.

The total energy can also be given by the characteristic function evaluated at zero.

Otherwise, (2.15) means that the error of asymptotic solutions is measured by the characteristic function.

For every we denote by the characteristic function of the set.

end{aligned}Finally, for (Delta in Sigma ), (E(Delta )) is multiplication by the characteristic function of (Delta ).

Denote by the Lebesgue measure of, by the characteristic function of and by the class of restrictions to of functions with.

It is possible to model this by applying the characteristic function for a sphere to the calculated PDF, resulting in a good fit for a visible nanoparticle diameter of ~1.4 nm in this particular case.

Denote by (chi_{k}) the characteristic function of (E_{k}).

(2) Let (Omega_{s}={xinOmega||DT_{k} u_{n})|< s}) and denote by (chi_{s}) the characteristic function of (Omega_{s}).

Fix a positive real number r and define (Omega_{r}={xinOmega :|Du_{0}(x)|leq r}) and denote by (chi_{r}) the characteristic function of (Omega_{r}).

Furthermore, the use of different adaptive schemes in AF multi-hop relaying networks over Nakagami-m fading environments was studied in [17] wherein the achievable channel capacity was evaluated by using the characteristic function (CHF) of the reciprocal of the instantaneous SNR at the destination.