Sentence examples for kernel condition from inspiring English sources

As an additional merit, it is also revealed that rigorous Mercer kernel condition is not required in FKNN networks.

Finally, using a similar argument as that of II, which involves the kernel condition (1.6), we obtain A 4 + A 5 ≤ C M ( 5 ) ( f → ) ( x ).

In this paper, we investigate kernel conditions on K t,s,x) so that the stochastic singular integral operator ∫t0K t,s,⋅ ⁎g s,⋅)(x dws has a bounded mean oscillation.

Second, convolving with a Gaussian kernel conditions the data to conform more closely to a Gaussian field model, even though this reduces spatial resolution.

In our work, the lower dimensional parameters of the Gabor filter set with an orthogonal kernel constraint condition are analyzed.

Let,,, be a differential form defined in a domain and be the potential operator defined in (1.4) with the kernel satisfying condition of standard estimates.

Let,,, be the solution of the nonhomogeneous A-harmonic equation in a domain and let be the potential operator defined in (1.4) with the kernel satisfying condition of standard estimates.

Let,,, be a differential form defined in a domain, be the Hardy-Littlewood maximal operator defined in (1.9),, and let be the potential operator with the kernel satisfying condition of standard estimates.

Suppose and the kernel satisfies Conditions 1 and 2. Then the integral operator (1.1) acting on extends to a bounded linear operator (2.6).

But it is possible that extra derivatives are needed if the kernel (initial conditions) is not informative, thus zero or dependent Lie derivatives are generated.

For RNA isolation from control, smoke- (1 1000) or KAR1-treated (0.1 μM) kernels, identical conditions were applied as for the vigour tests and embryos were harvested 1.5, 3, 6, 9, 12, 24 and 27 h after placing them in the Petri dishes.