Sentence examples for exists a local from inspiring English sources

More specifically, given a locally stationary time series, at any time instant, there exists a local interval of length centered at, such that its autocorrelation function at any two time instants and satisfying can be well approximated by (9).

There exists a local spectral function with singularities.

Otherwise, there exists a local maximum such that ( v ′ ( s ) - 1 ) d s d f ⏟ ≥ 0 1 2 + v ( s ) - s = θ.

For the higher values of Prandtl number Pr, both the velocity and temperature decreases such that there exists a local maximum of the velocity within the boundary layer.

Given continuous, compactly supported initial data u0i(x) (i = 2,..., k), there exists a local in time continuous weak solution of (1.1 - 1.3 1.1 - 1.3

Then, there exists a local tangent vector field on which is admissibly homotopic to in and such that is a nondegenerate pair.

Lemma 3.5 There does not exist a local, sequentially continuous function f : B ( d ) → S ( d − 1 ) which is the identity on S ( d − 1 ).

Notably, we found an identical R529S substitution in several wild type Su var)3-9 profeins otherher species, but it seems that there does not exist a local compensatory amino acid substitution (Tab. 2).

Then there exists a unique local solution of problem (13).

Then there exists a unique (local) continuous mild solution to (1.1) for any initial value.

There exists a unique local solution for the approximate problem that can extend on ([0, T]) using an a priori estimate.