Sentence examples for using the orthogonality theorem from inspiring English sources

Using the orthogonality theorem, we calculated the reflectivities from the standing wave pattern [17, 19].

There is another proof using the elementary amalgamation theorem and the elementary chain theorem.

Using the orthogonality of these functions, the natural frequencies of the plate have been determined.

Based on the two equations, a linear minimum mean-squared error (LMMSE) estimator is developed using the orthogonality projection principle.

Using the orthogonality of Legendre polynomials, we can easily determine that the matrix M is pentadiagonal and P is diagonal.

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

Using the orthogonality relations the transcendental equation system is converted into algebraic modal equations that can be solved analytically.

The orthogonality theorem of waveguide modes is applied to extract the modal reflectivity R[19].

The modal reflection coefficients, relative phase shifts, and reflectivities R at the Ag reflectors are extracted from the orthogonality theorem [19].

In the above derivation, we have used the orthogonality principle of Legendre polynomials which states that (A.9).

Check your measurement by using the Pythagorean Theorem.