Sentence examples for a common set of eigenfunctions from inspiring English sources

Hence, a common set of eigenfunctions exists for both operators.

We have a common set of objectives.

It did not envision a common set of economic regulations, or even a common currency.

But we believe in a common set of ideals.

Comparing phonemic solutions with a common set of criteria.

In Section 3, I propose a common set of criteria.

However, design criteria can have a common set of goals.

The advantage of expressing a general function as a linear combination of a set of eigenfunctions is that it allows us to deduce the effect of an operator on a function that is not one of its own eigenfunctions.

A complete set of eigenfunctions for the total Hamiltonian H can be spanned in terms of products of periodic Bloch functions |J,J z 〉 near the L-point and envelope functions.

Suppose that for the ith individual sample we obtain the functional principal component score: (18) z i j (1 ) = ∫ T β j (t ) w i 1 (t ) d t, z i j (0 ) = ∫ T β j (t ) w i 0 (t ) d t, where w i 1 t) and w i 0 t) are the coefficient functions of the ODE for the ith individual sample and β j (t), j = 1,…, K, are a set of eigenfunctions (or principal component functions).

Consequently the set ({phi_{i}}) form an orthonormal set of eigenfunctions either for (mathfrak{F}) and (1 - 5).