Sentence examples for dimension as a generalization of from inspiring English sources

Under this approach, an independent dilation parameter (a^{j_{i}}) is used in each dimension as a generalization of the case where a single dilation parameter is used in all the dimensions [3].

In three dimensions, many algorithms can be seen as a generalization of their respective counterparts in two dimensions.

One can consider ℓ F as a generalization of the cohomological dimension of a functor between abelian categories.

This one-step formulation may be viewed as a generalization of Pythagoras's theorem to higher dimensions.

As we know, the Helmholtz equations can be regarded as a generalization of the Sturm-Liouville equation to higher dimensions.

(2012) [1], as a generalization of the Degree Diameter Problem.

This problem can be seen as a generalization of Principal Component Analysis.

This paradigm can be viewed as a generalization of the approach used in syntax-directed editors.

It can be seen as a generalization of the latter.

Serving as a generalization of the concept of d-summability, the authors of [5] proposed a novel modification by the use of a gauge function (dimension function) in order to use different functions of diameter.

As a generalization of our intuitions regarding dimensionality, consider a large square.