Sentence examples for harmonic dimensions from inspiring English sources

But the rhythmic intricacies of Prokofiev's String Quartet No. 1 are best discerned in conspiratorial proximity, and the subtler harmonic dimensions of Ravel's String Quartet in F refuse to shout.

We denote H k n by the finite dimensional vector space of spherical harmonics of dimension n and order k, and let N ( n, k ) be the dimension of H k n.

The space of all finite sums of spherical harmonics of dimension n is denoted by H n. The spaces H k n are pairwise orthogonal with respect to the usual inner product on C ( S n − 1 ).

The EHD is capable of accounting for an arbitrary number of linearly-spaced sequentially-numbered harmonics; however, the dimensions of an EHD-based model are prone to explode if a large number of harmonics are considered.

We consider a class of singular, zero-range perturbations of the Hamiltonian of a quantum system composed by a test particle and a harmonic oscillator in dimension one, two and three and we study its spectrum.

The local environment of each atom is characterized by a set of bispectrum components of the local neighbor density projected onto a basis of hyperspherical harmonics in four dimensions.

Yet despite the richness of the score, in which Mr. Adams explores new dimensions of harmonic complexity and multilayered texturing, the opera drags in places and seems stretched out dramatically.

In two dimensions any harmonic function is a LCW [205].

As noted earlier, in two dimensions, any harmonic function with a non-vanishing gradient is a limiting Carleman weight.

This model is a standard spherical harmonic expansion in three dimensions, however we replace the geocentric colatitude θ with quasi-dipole colatitude, denoted θ q (Richmond, 1995).

The analysis presented in this article also provides a better understanding of the increasingly popular method of harmonic mapping in two dimensions.