Calculus was not born in a classroom, it was born in a fight. Isaac Newton developed fluxions in private during the plague ...

Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

Most AI providers try to enhance their products by training them with both public information and user data. However, the latter method puts a privacy-conscious company like Apple in a difficult ...

Abstract: This letter proposes an efficient progressive polyhedral approximation (PA) method to tackle the high nonlinearity and nonconvexity of optimal electricity-water nexus (EWN) dispatch caused ...

Computational Brain Science Lab, Division of Computational Science and Technology, KTH Royal Institute of Technology, Stockholm, Sweden This paper presents an analysis of properties of two hybrid ...

Large-aperture interferometers are important in the manufacturing and measurement of large-aperture optical elements, which play critical roles in the fields of optical precision manufacturing and ...

ABSTRACT: The behavior of beams with variable stiffness subjected to the action of variable loadings (impulse or harmonic) is analyzed in this paper using the successive approximation method. This ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...