Sentence examples for a singular transformation from inspiring English sources

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].

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.

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.

The singular transformation of the secretary is by no means encouraging to Mrs. Sloden, who could never trust so dazzling a girl with her susceptible husband.Miss Shearer handles the rôle of the stenographer with a good deal of thought and earnestness; at times she overdoes the pantomime in her gestures and in rattling off long speeches with accompanying expressions.

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.

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

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

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

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 doing so they deftly capture Wilson's place in history as the president who oversaw America's transformation into a singular global power but who failed utterly in his quest for world peace, lacking the physical stamina and political dexterity.