Sentence examples for due to continuity from inspiring English sources

We quantify the possible deteriorating effects of the Gibbs phenomenon present in the Fourier based schemes due to continuity restrictions of the penalized Navier Stokes equations on the wall.

Due to continuity of tractions at the interface, this leads to a simpler formulation and form of the convolution kernels in comparison to the formulation involving convolutions over the slip and opening history at the bi-material interface.

This may be partially due to continuity.

Since Ω is an open set due to continuity of (X t)), T is strictly positive.

Due to continuity and homogeneity of the principal symbols we have the estimate | A 1 A 2 | ≥ C | ξ | 2 m ( | λ | + | ξ | 2 m ) (2.8).

NBC comes from the fact that bending moment and shear are both zero at the free end, and EBC conditions are due to continuity of mode shape function and its derivative in CH point.

Ĝ is continuous due to the continuity of G. Following [13], we define a new MNC in the space ({X} times{X}) as widehat{{beta}}({M}) = beta({X}_{1}) + beta({X}_{2}), where ({X}_{i}), (i = 1, 2) denote the natural projections of X.

Ĝ is continuous due to the continuity of G. Following [13], we express β̂ as a new MNC in the space ({X}^{2}) as widehat{{beta}}({M}) = max bigl{ beta({X}_{1}), beta({X}_{2}) bigr}, where ({X}_{i}), (i = 1, 2) denote the natural projections of M. Without loss of generality, we take M, a nonempty subset of ({X}^{2}).

Step 2. is continuous on, which is valid due to the continuity of the function.

Due to the continuity of,,, it is clear that is continuous.

Due to the continuity of T, it follows immediately that T ˆ is continuous as well.