Sentence examples for by their characteristic function from inspiring English sources

They are generally described by their characteristic function ϕ t = exp iμt − γt α 1 − iβsgn t tan πα 2 for α ≠ 1 exp iμt − γt 1 + iβ 2 π sgn t log t for α = 1 (2).

Here it is to be understood as implying an appreciation of the diversity of functions fulfilled by language and a theoretical recognition that the structure of languages is in large part determined by their characteristic functions.

In the presence of stochasticity in Boolean functions, output of these logic gates can be different from those specified by their characteristic functions.

They easily prove that such machines can compute all sets defined over denumerable domains by encoding their characteristic function as a real-valued constant (ibid., 405).

Viscous and elastic stresses in the Navier Stokes equations are restricted to the corresponding domains by multiplication with their characteristic functions.

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.

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.

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

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