Abstract: Digital processing of signals sampled according to the Nyquist-Shannon sampling theorem in real time in a wide frequency band is based on extremely high-performance requirements of both ...

Print Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal reasoning.

Abstract: Based on the addition theorem, the principle of a multilevel ray-propagation fast multipole algorithm (RPFMA) and fast far-field approximation (FAFFA) has been demonstrated for ...

Discover how to determine the ideal percentage of a population for a representative sample to ensure accurate data analysis with minimal sampling error.