Sentence examples for based upon the familiar from inspiring English sources

Much of developed theories of fractional calculus were based upon the familiar Riemann-Liouville activity related to the q-calculus has been noticed due to applications of this theory in mathematics, statistics and physics.

Following the earlier works (based upon the familiar concept of neighborhood of analytic functions) by Goodman [19] and Ruscheweyh [20], and (more recently) by Altintaş et al. [21 24], Cǎtaş [25], Cho et al. [26], Liu and Srivastava [27 29], Frasin [30], Keerthi et al. [31], Srivastava et al. [32] and Wang et al. [33].

In the case when (p=1), the results derived in this paper would correspond to those based upon the relatively more familiar q-numbers.

Based upon the history of the city of St . Louis.

Mr. Schultz said penalties were based upon the type of violation.

FIRe is based upon the Fast Repetition Rate Fluorometry FRRFF) technique.

It is based upon the text of John 15:158.

"The automatic spending cuts take effect not based upon the joint committee; it's based upon congressional action," he said.

Based upon these findings, American Express Open Forum was created based upon the opportunity to educate their ideal clients on this topic.

Based upon the history, IV was considered.

Variables are selected based upon the Bayesian Information Criterion BICC).