Sentence examples for gives the approximation from inspiring English sources

Section 7 gives the approximation order of the new refinable functions.

This gives the approximation F ( z ) ≅ i n ν z + P ( n ν ) + log A + i θ + s cos ( ν z ) + i d sin ( ν z ).

Truncating the sum to the first term also gives the approximation 9801\sqrt{2}/4412 for π, which is correct to six decimal places.

He criticized Nicholas of Cusa's approximations and methods to approximate the value of π and gave the approximation 3.14343.

In 1678, he also gave the approximation 10. 1671.

Direct computations give the approximation values of (operatorname{Si} ( x ) ) for (x=pi/4, pi/2, pi).

Along these ideas, Scarf has given the approximation of fixed-points of a continuous mapping [4].

These considerations give the approximation langle x rangle z,I) approxbeta f_{0}(I - z), (13) where β is constant.

The development of an algorithm for the calculation of,, given the approximation and fractional orders and, respectively, can be established either in the time or the frequency domains.

The overall formulation leads to smooth control that is near-optimal, given the approximations involved in the time-shifting of the non-causal impulse response functions and the consequent up-wave distances at which wave surface elevation is required.

Given the approximations inherent to the force field and the homology models, only a qualitative agreement with experimental data is expected.