A new research paper examines how Digital Image Correlation is changing fracture testing of 3D printed polymers.

Abstract: Based on variable substitution, calculating definite integral and solving the minimization problem, in this paper we establish a new fixed-time stability theorem, which can provide a novel ...

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, ...

IN the second volume of his large treatise on the integral calculus, Mr. Edwards deals with multiple integrals, gamma functions, Dirichlet integrals, definite integrals in general, contour integration ...

ABSTRACT: Real-world optimization problems often require an external “modeling engine” that computes fitnesses or data that are then input to an objective function. These programs often have much ...

Multiple integrals are originally a topic in university-level mathematics. However, if you look only at the essential parts without considering proofs of theorems, they can be explained using high ...

In this video, we explore line integrals in polar coordinates, a key concept in mathematical physics. I’ll guide you through how to set up and evaluate line integrals in polar systems, including ...

The definite integral, denoted as ∫ab f(x) dx, holds a profound geometric meaning. It represents the signed area between the curve of the function f(x) and the x-axis, from x = a to x = b. The "signed ...

Abstract: This work discusses approximate evaluations of some types of integrals arising in electromagnetic problems. An integral can be transformed into a divergent asymptotic series by replacing the ...

Recall that an indefinite integral (or antiderivative) is so called as it provides a family of solutions with a constant term. It is called indefinite as the constant \(c\) can take any real value, ...