Sentence examples for be linear transformations of from inspiring English sources

If both variograms, the one induced by VanRaden's covariance structure and γMatern, were exactly quadratic, the corresponding covariance matrices would be linear transformations of each other.

We identify a set of reaction invariants that are linear transformations of the species mole numbers.

Estimators (5) versus (6) and (9) versus (10) showed the same bias; estimators (5-9) and (6-10) were perfectly correlated, which is logical because they are linear transformations of each other.

Vector spaces are one of the two main ingredients of linear algebra, the other being linear transformations (or "operators" in the parlance of physicists).

In representational measurement theory, the current theory of all measurements, calibration and sampling processes are assumed to be a linear transformation of the coordinate system, of no effect.

A major application of matrices is to represent linear transformations, that is, generalizations of linear functions such as f(x) = 4x.

The affine transformation is linear, including transformation of translate, rotation, and scaling.

One of the underlying assumptions of PCA is linearity, such that the feature space is a linear transformation of the original data.

This is the case whenever the covariance of the Gaussian model is known, and the mean is a linear transformation of the unknown parameter.

All gene component regressions were essentially the linear transformations of original gene expression values and could be viewed as the projection of high dimensional predictor space into a few orthogonal latent factor axes. PLS maximized the covariance between the predictor and response variables.

One can show that it is independent of linear transformations of (mathbb R^n) and of the choice of the inner product.