Abstract: In this paper, a class of approximate interpolation neural networks is constructed to approximate Lebesgue integrable functions. It is showed that the networks can arbitrarily approximate ...

The Riemann Integral Formal construction, integrability conditions, improper integrals, and extensions to higher dimensions, including classical examples and limitations. The Lebesgue Integral Measure ...

A program is proposed to study numerically the correlation functions in massive integrable 2D relativistic field theories. It relies crucially on the exact form factors of fields which can be ...

Abstract: This article studies discrete-time implementation of model predictive control (MPC) algorithms in continuous-time nonlinear sampled-data systems. We present a discrete-time and aperiodic ...

The English-Chinese paired terminologies in Artificial Intelligence Domain - jiqizhixin/AI-Terminology-page ...

Queensland U. and Xibei U.

Two‐point functions associated with the Federbush, massless Thirring, and continuum Ising models and their boson analogs are studied. In the Thirring case it is shown that the fields do not define ...

Hausdorff Measure and Lebesgue AreaNote: The article usage is presented with a three- to four-day delay and will update daily once available. Due to ths delay, usage data will not appear immediately ...

Neurons are cells that transmit electrical signals through the nervous system. Motor neurons control muscle activity and movement by carrying impulses from the brain and spinal cord. Sensory neurons ...

Exercise is important for keeping the musculoskeletal system healthy. Bones support the body and protect vital organs. Skeletal muscles help move parts of the body by contracting. The musculoskeletal ...

Mathematics is the universal language of science while computer science is the study of the hardware and algorithms that are used in modern computer systems. Since many of the early pioneers of ...