Sentence examples for more generalized exponential-sum from inspiring English sources

More generalized exponential-sum models need to be studied.

The main purpose of this paper is, using the properties of Gauss sums and the estimate for the generalized exponential sums, to study the upper bound estimate problem of one kind sums analogous to the high-dimensional Kloosterman sums and to give some interesting mean value formula and an upper bound estimate for it.

In its more generalized expression, we consider a sum of time-varying complex sinusoids (the partials).

Moreover, he conjectured the more generalized inequality containing double power-exponential functions in [2]: a ( 2 b ) x + b ( 2 a ) x ≤ 1 (1.1).

The Propositions 1.4 and 1.6 give us log-convexity but we can find more generalized results proved by Anwar et al. [6] which give us positive semi-definite matrices and exponential convexity for positive n-tuples × and y.

The more anxious the companies feel about profits, the more generalized the generalized anxiety disorders get.

Sometimes the message from the red carpet is more generalized.

The ensuing paintings slowly became more joyful, and the representation of the house became more generalized".

"A Song for Martin" is content to remain a more generalized case history.

"Then you can transition from a constrained to a more generalized environment," he said.

Oklahoma City's offense was a more generalized assault.