Sentence examples for representations are given from inspiring English sources

The relationships between different line representations are given.

Details of how the windows can be obtained for the Gabor and Malvar representations are given in [11].

In this paper, based on fuzzy set and possibility distribution theory, different levels of fuzziness are introduced into the UML class diagram model and the corresponding formal representations are given.

Note that for α be a positive integer N, we have ζ N ( s ; x, λ ) = ζ ( s, N ; x, λ ) ( N − 1 ) !, and by Proposition 2.2, their series representations are given as follows.

Two examples of InChI representations are given belowin Figures 1 and 2. However, it is important to recognize that InChI strings are intended for use by computers and end-users need not understand any of their details.

He calls the proof "an instructive exercise in elementary point-set topology"; it involves viewing sets of positional values as Stone spaces and noticing that their real representations are given by continuous functions.

The results were obtained in closed form and conventent graphical representations were given.

In this theorem sampling representations were given for integral transforms whose kernels are more general than (exp(ixt)).

In this theorem, sampling representations were given for integral transforms whose kernels are more general than exp ( i x t ).

First, we present a new characterization in which the equivalence between a WLM signal of order n and their forwards and backwards representations is given.

The complete list of the 52 tDNAs of H. volcanii tabulated in a linear, as well as in a cloverleaf representations is given in Additional file 2. These 52 genes correspond to 46 different tRNAs (different anticodons) since 6 genes are present in two copies (the two copies of tDNA-Gly (GCC) slightly differ in the amino acid stem only).