In order to achieve this high accuracy, including even estimating the probability of highly rare events, Kougioumtzoglou's approach is to account for higher order terms (fluctuations) in related path integral expansions.
The analysis indicates that the stressing of the target container due to pressure pulses initiated at the beginning and end of each pulse is less important compared to the stressing due to integral thermal expansion of the fluid during the full pulse period.
For more certain new, interesting, and useful integrals and expansion formulas involving the hypergeometric function and the Laguerre polynomials, see [11].
In the press release announcing the expansion, Integral CEO Scott Knoll said the two products together are "a great match for helping buyers and sellers optimize for quality and determine the true ROI-impact of their advertising campaigns across channels".
The French Revolution was integral to the expansion of French cuisine, because it effectively abolished guilds.
8 Routine HIV counseling and testing is recommended as an integral component of expansion of HIV prevention, care, and treatment services in Africa and other areas where the prevalence of HIV is high.
The methods are based on the use of Maclaurin series, nonoscillatory integral representations, asymptotic expansions, and a continued fraction method, depending on the ranges of x and a.
The Crusades also played an integral role in the expansion of medieval Europe.
True, the march did capture the imagination of a nation, and it was integral to the biggest expansion of legal protections for African Americans since the Emancipation Proclamation.
Starting with a handful of wine producers in the 1970s, the New York State wine industry has experienced tremendous growth to become the third largest wine-producing state in the U.S. Long Island is an integral part of this expansion.
