Sentence examples for functions which does not from inspiring English sources

This error originates from an over-generalisation of the differentiation of the composite function of trigonometric functions which does not apply in algebraic terms.

Men in the 32−38 years range, instead, record the lowest value in this inclination, because this life phase usually coincides with the consolidation of roles and functions, which does not exclude but opens and includes external networks to the subject.

However, the final results involve special functions like Bessel, Meijer-G functions, which do not provide engineering insights for practical systems.

It says the force's 10 year agreement with Steria has also allowed it to outsource a wide range of back and middle office functions which do not require the experience of police officers.

This allows an approximate solution to the equations to be sought by using the Rayleight-Ritz procedure with trial functions which do not satisfy the often complex boundary conditions.

It is natural to ask whether the same is true for functions which do not satisfy (1.2).

Now we end this article by giving continuous metric-preserving functions which do not satisfy the results in Lemma 33 and Lemma 35.

This is mainly due to the predefined smoothing kernel functions which do not distinguish between the signal components and the interference terms.

The third element of our model is programme participation which is assumed to be functions (which do not vary across hours) of individual and programme characteristics: specifically, demographic variables and the levels of entitlement.

We investigate perturbed second order Euler type half-linear differential equations with periodic coefficients and with the perturbations given by the finite sums of periodic functions which do not need to have any common period.

end{aligned} (5.1)The same characterization remains true for functions from the domain of definition of ((dd^c)^n) (see [22]) but there are maximal plurisubharmonic functions which do not belong to the domain of definition, for example (log |z_1|) in (mathbb C^n) for (nge 2).