Sentence examples for the same dimensional from inspiring English sources

We establish a correspondence of reversible measures for Markov semigroups and ground states of quantum systems on the same dimensional lattice.

Analysis of the AL model for both samples indicates the same dimensional structure, although the explanatory power of the dimensions differs between the groups.

It is important to note that while theorists agree that we generally choose from the same set number of causal ascriptions, we don't all locate these in the same dimensional space.

Then, in order to further understand the influence of the dielectric layer and the gold film on the ultra-narrow FWHM and the high absorption performance, the absorption and reflection spectrum are analyzed and compared between the MDM structure and pure metal grating structure with the same dimensional parameters, as shown in Fig. 3d.

Naturally, a question may be put forth: Does there exist another kind of complex synchronization, where the same dimensional fractional-order complex chaos and real chaos could be synchronized up to a non-diagonal complex transformation matrix (Lambda={Lambda^{r}} +j{Lambda^{i}})?

Hacking The Human Body: Meet Daito Manabe.

For this, the query compound is embedded into the same D-dimensional Euclidean space.

Second prize for crassness goes to the German automaker Volkswagen, which has appropriated three huge spaces side by side with another directly across the street for exactly the same one dimensional and vacuous mural for its Golf.

The present paper compares results for flame describing function characteristics determined from a ROM approach based on the level-set method, with corresponding results from detailed, fully compressible reacting flow computations for the same two dimensional slot flame configuration.

within the same (N−1) dimensional of null space of v n, the quantity (|bar {mathbf {e}}_{i,n} hat {mathbf {v}}_{n}|^{2}) is β(1,N−2) distributed.

Therefore in this step of the method, the extracted candidate transients are classified either as spikes or as non-spikes by assuming that the spike and spike-like patterns reside on the same low dimensional manifold but in different regions.