Sentence examples for approximation conditions from inspiring English sources

It is consistent with the rigorous electromagnetic field analysis when the approximation conditions are strictly satisfied.

Such general theories, which are not (or, at least, not strongly) restricted by the approximation conditions, are obviously important.

If N satisfies the FMCI approximation conditions then, for any fixed x≥0, P { X n = x } ∼ a x + 1 n − x ( ℓ − 1 ) x ( 1 − λ 1 ) x λ 1 n − x, (13).

We will say that {Y n :n≥0}, or equivalently, N, satisfies the FMCI Approximation Conditions if (i) there exists constants a 1,…,a w such that 1 ′ = ∑ i = 1 w a i η i ′, (12)   (ii) λ 1 has algebraic multiplicity g and λ 1>|λ j | for all j>g.  .

Theoretically, the approximation condition is n≫β.

This indicates that (i) the approximation condition is not restrictive and (ii) the approximation accuracy increases as W increases.

However, the rate approximation condition needs the high SINR situation, and such approximation is hard to application in the low SINR condition.

This implies that under the approximation condition those functors are computable, i.e., are completely determined by the regular finite dimensional couple of Banach spaces.

The adiabatic equation of ideal gases with temperature dependent heat capacity is strictly deduced without using the additional approximation condition in the relevant literature and is used to analyze the performance of the Diesel heat engine.

It can be seen in Fig. 5 that this method tends towards the COMSOL and theoretical integration methods as h 2 increases, agreeing with the method's approximation condition.

A model parameter vector w∗ can be represented as a linear combination of these basis vectors, satisfying the approximation condition w∗≈Da, where a is the coefficient vector which can be considered as the representation of w∗ over the dictionary D. In order for D to be flexible and robust to noise, we set the dictionary to be overcomplete (k>d).