Sentence examples for basis functions to fail from inspiring English sources

As time progresses, coefficients of the higher order terms in both the Wiener–Hermite and Wiener Legendre expansions successively gain and lose dominance over the lower-order coefficients in a manner that causes any fixed-order expansion in terms of global basis functions to fail over a simulation time of sufficient duration.

SSA is a technique, similar to empirical orthogonal functions employed in spatial analysis, that uses data-adaptive basis functions to separate a time series into statistically independent components that maximize the variability that each basis function describes20.

causing the function to fail if any unknown attributes were returned.

By convention, the DC term of the horizontal basis functions is to the left, and the DC term for the vertical basis functions is at the top.

Guaranteed to fail on a regular basis and keep the Pope as happy as Larry.

This algorithm has little basis in pathophysiology and more appropriately should be called the treat to fail algorithm.

The number of basis functions is set to 100.

These basis functions are chosen to be linear Lagrange elements.

Adding qualifiers to basis functions in generated code.

The Bernstein basis functions are also related to this theorem.

On that basis alone I fail to see how we could not look to nuclear.