Sentence examples for continuous coefficients from inspiring English sources

In [2 4], Campanato obtained the (L^{2,lambda } -regularity and Hölder continuity for the weak solutions of elliptic systems with continuous coefficients.

We obtain Gaussian bounds without further assumption ifn⩽2, and when the principal part has Hölder continuous coefficients ifn⩾3.

Further, to reduce the implementation complexity, the continuous coefficients of the filters in the MDFT filter banks are represented in discrete space using canonic signed digit (CSD).

In addition to the degeneracy and self-sharpening of the GPME with continuous coefficients, detailed in [1], increased numerical challenges occur in the discontinuous coefficients case.

We prove a Fredholm criterion for singular integral operators with piecewise continuous coefficients on Lp spaces with the weight ϱ satisfying the Hunt-Muckenhoupt-Wheeden condition.

We study a degenerate oblique derivative problem in Sobolev spaces W2,p,∀p>1, for uniformly elliptic operators with Lipschitz continuous coefficients.

A piecewise continuous coefficient is used to model the various sea-floor topographies.

Once the continuous coefficient recombination non-uniform filter bank is designed, the coefficients are converted to the canonic-signed-digit (CSD) space to make the design multiplier-less, so as to reduce the complexity of the hardware implementation.

The alloy GH864, for example, shows an intersection of crack initiation and propagation when the solution temperature is around 1046 °C or the carbide continuous coefficient (fc) is close to 0.56.

The attractive feature of our proposed method using MOABC and SIDCs with CSE lies in the increased hardware complexity reduction of the VDFs, compared to the existing methods, which in turn reduces the hardware resource utilization and power consumption drastically compared to the continuous coefficient VDFs.

The different meta-heuristic algorithms which are modified and used in this paper are Artificial Bee Colony algorithm, Gravitational Search algorithm, Harmony Search algorithm and Genetic algorithm and they result in filter banks with less implementation complexity, power consumption and area requirements when compared with those of the conventional continuous coefficient non-uniform CMFB.