Sentence examples for homogeneous direction from inspiring English sources

Such a unit vector x is said to be a homogeneous direction of isosceles orthogonality.

This work is also described for 3D problems with one homogeneous direction.

From Lemma 1, one can see that the notions of "homogeneous direction of isosceles orthogonality" and "isometric reflection vector" are closely connected.

This is important when the transformation leads to symmetries that allow the use of more efficient numerical techniques, like employing a Fourier expansion to discretize a homogeneous direction.

In this paper we present a preconditioned multi-domain algorithm applied to the elliptic kernels arising from the spectral collocation of the incompressible Navier Stokes equations in three space dimensions with one homogeneous direction.

In Section 2, we study the relation of homogeneous direction of isosceles orthogonality to other notions including isometric reflection vectors and L2-summand vectors (see Section 2 for the definitions) and prove a new characterization of Hilbert spaces.

First, we study the relation of homogeneous directions of isosceles orthogonality to other notions.

In the following, we denote by H X the set of all homogeneous directions of isosceles orthogonality in X.

The adopted discretization is spectral in the two homogeneous directions; fourth-order accurate, compact finite-difference schemes over a variable-spacing mesh in the wall-normal direction are key to our parallel implementation.

Fluid particle velocities are computed with an interpolation scheme that employs Lagrange polynomials of order 6 in the homogeneous directions of the channel and Chebyshev polynomials in the inhomogeneous normal direction.

The numerical method is based on fourth-order compact schemes in the two non-homogeneous directions and Fourier series expansion in the azimuthal direction.