Sentence examples for general dimensional from inspiring English sources

Theorem 3.1 can be generalized to almost-everywhere-spacelike submanifolds of general dimensional Minkowski spaces, with the corresponding conclusion being that generically the possible directions in which a magnetic geodesic can approach a point with a lightlike tangent space form a subset in the space of all directions that has codimension at least 1.

Regarding the continuous dimension n, a more general dimensional volume hypersphere flux follows on the base of Ramanujan-Hardy's integral [26].

The spectra of quadratic Schrödinger operators in general dimensional Euclidean spaces are determined by considering the corresponding classical mechanics and the corresponding Dirac operators.

When (eta = 0), problem (1.3) was studied by Cao [19] in the case (N = 2), by Panda [20], do Ó [21] and Alves and Figueiredo [22] in the general dimensional case.

Morphological measurements of mandibular skeletal elements were taken for each specimen to give general dimensional information.

Then, we investigate the general D-dimensional case (D > 1) and derive a formula for the asymptotic bias as a function of the MS vector.

Along with a general three dimensional model, homogenized one dimensional Timoshenko type beam models for both the proposed micropolar and the standard non-polar peridynamic variants are derived.

Then we apply the scheme to a general n dimensional linear system subject to time-varying delay in the state feedback.

A general four dimensional system with two pairs of pure imaginary eigenvalues is used as an example, and normal forms in resonance modelp:qare determined.

In this paper we will develop a general three dimensional model that is able to reproduce the stress strain response at loading reversals and can be applied also to more general changes of loading direction.

Unfortunately, there is no such an equivalence for a general high dimensional map.