Sentence examples for be given in closed from inspiring English sources

An exceptional case, however, is the 2-user scenario, for which both concepts are indeed equivalent and the solution can be given in closed form.

However, the resulting integrals of the nonuniform circular solution for displacements and stresses cannot be given in closed form; hence, numerical integrations are required.

However, the resulting integrals for displacements and stresses involve polynomial, exponential function, and Bessel function that cannot be given in closed form; hence, numerical techniques are adopted in this work.

It is well known in surface science that Green's functions can also be given in closed form in mixed representations, where momentum coordinates are used along the surface and configuration space coordinates are used for the transverse directions.

The probability density function (PDF) of an α-stable random variable cannot be given in closed form, but the characteristic function can always be given as followed [23] phi(t) = text{exp} {-gammalvert t rvert^{alpha} + idelta t} (2).

Capacity with depolarization can in this case also be given in closed form C d e p o l = 1 ln 2 π Erfi 1 ρ − γ − ln 1 ρ − 1 ρ F 2 2 1, 1 ; 3 / 2, 2 ; 1 / ρ (21).

The Yankee soldiers had not been told to fortify their positions — in fact they were ordered not to — which left them camping in the open like Boy Scouts, while daily instruction was given in close-order drill, weapons training and latrine building.

Both the sigma points and the probability weights are given in closed-form and no numerical optimization is required.

Using Lemma 3, Theorem 1 implies by (44) that the robust good-deal bound for a put option (X=(mathcal {K}-L_{T})^) is given in closed-form by pi^{u}_{t}(X) = mathcal{K}N -d_)- L_{t}e^{m(T-t)}N(-d_), tin[0,T], P^{overline{a}}text{-a.s.}.

The maximum effect was found if the heat and drug were given in close sequence.

The counselling is given in close co-operation with the obstetric team, so that parents are offered information on the exact nature of the problem diagnosed and a full discussion of the available management options at the same time.