Sentence examples for with respect to transformations from inspiring English sources

However, in the 1960s attempts to produce a gauge-invariant theory of the weak force i.e., a theory that is symmetrical with respect to transformations in space and time suggested unifying weak and electromagnetic interactions.

Such a variant pairing tendency with respect to transformation temperature is discussed from the viewpoint of self-accommodation of transformation strain and inter-variant boundary energy.

An <001> tensile strain also leads to instability with respect to transformation into a face centered orthorhombic structure, and to various magnetic instabilities.

We also found that transforming the rice protoplasts in a 96-well plate did not generate a bias toward column and row in the plate with respect to transformation efficiency (Figure 1).

The main criticism for the h-likelihood has been non-invariance of inference with respect to transformation.

Fibroblast cultures established from the skin of 56 healthy controls and 15 untreated Stages I and II Hodgkin's patients (HD) were studied in their 3rd, 4th and 5th in vitro passage with respect to transformation with Simian sarcoma virus (SSV) and SV40 and with respect to replication of herpes simplex virus (HSV) Types 1 and 2, pox virus and interferon release.

The resulting Riemannian space has strong geometrical properties: it is geodesically complete and the metric is invariant with respect to all transformations that preserve angles (orthogonal transformations, scalings and pseudoinversions).

Noticeably absent are axioms such as symmetry, invariance with respect to 1-1 transfofmathens of the range space, equality to absolute correlation in the joint Gaussian setting.

In the context of structural mechanics, it is established that the basis functions are complete with respect to affine transformations, meaning that all rigid body motions and constant strain states are exactly represented.

It is shown that the response predictions of the strain-compatible volume-averaging method are invariant with respect to coordinate transformations while those of the generalized method of cells are not.

These tests are based on multivariate generalizations of Cauchy priors on standardized effects, and have the desirable properties of being invariant with respect to linear transformations of measurement units.