Sentence examples for by using first orthogonality from inspiring English sources

By using first orthogonality principle, the feedforward coefficients of the filter are computed.

By combining (27) and (28) and by using the orthogonality property of the matrices and, we obtain (29).

By using the orthogonality of the spreading codes, the separation of the overlap among visible identification code in time domain and frequency domain can be realized.

By using the orthogonality relation of the Stirling numbers, explicit formulas for the Bernoulli numbers and the Euler numbers are provided.

More precisely, by using the orthogonality type, we write any polynomial in Π n as a linear combination of the Apostol-Euler polynomials.

By using the orthogonality of BPFs, for (i=0,1,ldots, m-1), the coefficients (f_{i}) can be obtained: f_{i}=m int_{0}^{1}b_{i}(t)f(t),mathrm{d}t.

In this paper, by using the orthogonality type as defined in the umbral calculus, we derive an explicit formula for several well-known polynomials as a linear combination of the Apostol-Euler polynomials.

In [5], the M-ary modulation is achieved by using the orthogonality of modified Hermite polynomials h n ( t ) = ( − 1 ) n e t 2 4 d n d t n ( e − t 2 2 ).

By using orthogonality properties of some special functions the problem is reduced to the solution of a system of linear equations.

The dynamic equations of the coupling physical space are transformed into the dynamic equations of the decoupling modal space by using the weighted orthogonality of the modal main mode with respect to mass matrix and stiffness matrix.

A set of orthogonal plate functions generated by using the Gram-Schmidt orthogonality relationship is used to approximate accurately the mode shapes of point supported rectangular plates.