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Abstract: This paper derives new recurrence relations for scalar spherical waves in Cartesian coordinates and compares the performance of these relations with that of traditional recurrence relations.

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Chinese President Xi Jinping holds talks with Russian President Vladimir Putin at the Great Hall of the People in Beijing, capital of China, Sept. 2, 2025. Putin is in China for the Shanghai ...

Behrendt’s cartoon was memorable—but in fact, the eagle, the lion, the lamb and the bear were far from harmonizing about peace on earth. And it was a gloomy day when President John Kennedy arrived in ...

Motivated by time series analysis, we consider the problem of solving the recurrence relation u n+1 = v n+1 +u n⊗v n for n ≠ 0 and u n, given the sequence v n. A solution is given as a Bell polynomial ...

The use of two-dimensional liquid chromatography (2D-LC) to assess peak purity is becoming common in the pharmaceutical industry. In this application space, it is critically valuable to demonstrate ...

Abstract: This paper (a modified version of the material in an unpublished paper of the same name by the author presented at the AIEE 1957 Summer General Meeting) introduces aspects of a generalized ...