Sentence examples for approximation originates from inspiring English sources

The study of existence and unique problems by iterative approximation originates from the work of Banach [1] concerning contractive maps.

Frank-Kamenetskii approximation originated from the combustion theory.

This gives a possible prescription for the path integral representation of the quantized Hamiltonian, as well as yielding such a result for the natural geometric approximation schemes originating in Andersson and Driver (1999) [3] and followed by Lim (2007) [34].

Idea originated in Boston.

The 1D model actually suffers from limitations resulting from rigid-body displacement assumption of the rotor׳s cross-section, which originates approximations in the rotor-to-stator contact modeling.

The approximation error in paf originates from the following sources: 1) The expression of paf in Equation (40) is a function of the mean, variance, and covariance, which are computed with a 2nd-order Taylor expansion in log space.

Another, although much weaker reasoning is that in Equations 4 to 5, the ∫ρ[1 + a/(3j)]d r1 ≈ G(x ≡ 1 + a/(3j), N) = N x /5 approximation can be used, which originates from the crude ∫ρ[1 + a/(3j)]d r1 ≈ (∫ρd r1)[1 + a/(3j)] = N x, and one can find more detailed discussion and more forms in [4] for G.

The Fourier approximation of signals (functions) that originated from the second theorem of Weierstrass has become an exciting interdisciplinary field of research for the last 130 years.

Owing to this special feature, the proposed method is preferable over the classical shape-preserving interpolants when the approximation is taken for data originating with an unknown function Φ ∈ C 1 having a shape with fractality in Φ ′.

A number of practical predictions of the integrable model agree exactly with those of the approximate analytic method originated earlier by Parlange, involving approximations within an integrand after expressing the water conservation equation in integral form.

With the approximation, the determination about which measurement originates from the jth target is avoided.