Sentence examples for equivalent description from inspiring English sources

We have the following equivalent description of continuous functions of ultrapolynomial growth of class ({M_p}).

In addition, "not this range" can be indicated using "!", so that an equivalent description to the above would be (.t:!-170,170 C=C.

An equivalent description is that the boundary of an n-dimensional disk is glued to a point, producing a CW complex.

To say 'translated' is to imply that dynamical systems tools provide an alternative (and equivalent) description of the dynamics.

The Fourier transform is an equivalent description of time-dependent data, and represents its decomposition into its frequency components.

In the remaining two cases the 'effective shunt' model and the two-parameter model provide an equivalent description of the data.

He no longer held with C.I. Lewis that there is at any time any sort of Kantian a priori but there is synonymy, there are equivalent descriptions, and the assertion of equivalence between equivalent descriptions is presumably a purely logical matter, hence analytic.

Duality is the relation between two equivalent descriptions of the same quantum physics in different classical terms.

We introduce a relevant new graph invariant, the "imperfection ratio" imp(G) of a graph G, present alternative equivalent descriptions, and show some basic properties.

String theory and quantum field theory leverage exact and infrared dualities to provide equivalent descriptions of physical objects, some of which admit rigorous definitions; dual pairs of objects are sometimes even formalized using two a priori distinct areas of mathematics.

In this paper affine Lie algebras are used to describe a theta function and Brownian motion in the framework of affine Lie algebras is used to verify some equivalent descriptions of a theta function such as those given by Macdonald and Kostant.