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Two expressions are derived for use in estimating the error in the numerical integration of analytic functions in terms of the maximum absolute value of the function ...

The integration of Large Language Models (LLMs) with external tools, applications, and data sources is increasingly vital. Two significant methods for achieving seamless interaction between models and ...

The exponential and Cayley maps on SE(3) are the prevailing coordinate maps used in Lie group integration schemes for rigid body and flexible body systems. Such geometric integrators are the ...

Brett Kavanaugh says Supreme Court may find GOP state law unconstitutional Fitness Influencer and Champion Bodybuilder Hayley McNeff Dies at Age 37 Mother and son arrested at Miami airport after fatal ...

1 Department of Software Engineering, Faculty of Graduate Studies for Statistical Research (FGSSR), Cairo University, Giza, Egypt. 2 Department of Information Systems, Higher Institute of Advanced ...

Abstract: In this paper, we consider the rare-event simulation of integrals of exponential functions of smooth Gaussian random processes. In particular, we design importance sampling estimators that ...