Sentence examples for set of generating from inspiring English sources

Theorem 2.7 The inefficient but minimal presentation P M defined in (7) has a set of generating functions.

Theorem 2.12 The efficient presentation P M in (7) has a set of generating functions in terms of Stirling numbers as given in (13).

Corollary 3 The presentation P M in (12) has a set of generating functions in terms of Stirling numbers as given in (18).

Remark 2 From Corollary 2 and by considering Theorem 1, we can easily deduce that the set of generating functions for a minimal but inefficient presentation can be presented as a single element.

By taking i = 2 and k − l is an odd positive integer, we get a set of generating functions in terms of Stirling numbers for the inefficient but minimal presentation of the form as defined in (7).

Corollary 2.6 For any prime p, the presentation P M = [ y, x ; y ( p + 1 ) [ ( p + 1 ) p − 1 p ] + 1 = y, x p + 1 = x, y x = x y p + 1 ]. has a set of generating functions.

Random error was added to the set of generated artificial data.

The paper gives a set of generated patterns for the most encountered symmetry groups in Islamic geometric art.

It has a different set of generated numbers from the encryption operation's version of the lookup table.

The set of generated constructs shows which aspects of a particular topic play a role in its perception.

Thus, they propose an approach for predicting a configuration property from a small set of generated and measured configurations.