Sentence examples for singular transformations from inspiring English sources

The cloaking based on singular transformations can not avoid a singularity of the resulting Laplace Beltrami operator because singular transformations blow up one point to a sphere.

In this paper, we consider the acoustic cloaking based on singular transformations and its approximation in the context of scattering problems in R3.

In The Great British Dream Factory, Dominic Sandbrook picks up Boyle's thesis and goes searching for the causes and consequences of the country's singular transformation.

Any accounting of the period since the end of the cold war must begin with the recognition of this singular transformation -- something that Americans should bear in mind in a campaign year when there is likely to be a boisterous debate about how to handle Russia.

The key to the proof of Theorem 3.2 is a removable singularities theorem that implies that solutions of the conductivity equation in Ω D ¯ pull back by this singular transformation to solutions of the conductivity equation in the whole Ω.

We define a singular transformation F 1 : M 1 { 0 } → N 1, F 1 ( x ) = | x | 2 + 1 x | x |, 0 < | x | ≤ 2, (128) Open image in new window Fig. 1 Blowing up a metric at a point, after [125].

A block controllable form is introduced and a non-singular transformation that reduces the system to this form is proposed.

In this section, we report on evaluation about the utility of the algorithm for extracting main concepts from a discussion topic, the quality of generated questions and the efficiency of the Plural-to-Singular transformation method.

In this case, the rotation uses a general non-singular transformation matrix instead of the orthogonal transformation matrix [ 19].

The above invisibility result is valid for a more general class of singular cloaking transformations.

In this work, he satisfied his ambition "to derive the decisive results for the most important of these groups by direct algebraic construction, in particular for the full group of all non-singular linear transformations and for the orthogonal group".