Abstract: Analytic expressions are developed for integrals over curvilinear domains where the integrands are the product of polynomial bases with natural logarithm kernels whose arguments are ...

In this video, we dive into gravitational potential energy and how to calculate it using numerical integrals in Python. Learn how to set up the equations, perform the integration, and visualize the ...

Abstract: We present a method for the numerical evaluation of 6D and 5D singular integrals appearing in Volume Integral Equations. It is an extension of the Sauter ...

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 ...

fresnel integrals meteorology app Skip to content Chat history You said: demo program fresnel integrals in meteorology ChatGPT said: Here's a demo program illustrating the use of Fresnel integrals in ...

ABSTRACT: Two isotropic harmonic oscillators in a magnetic field on the non-commutative phase space (NCPS) are studied in this paper. We derive the corresponding entanglement entropies of the vacuum ...

ABSTRACT: The asymptotic behavior for a sequence of integrals ∫ a b f( x )g( nx )dx , a,b∈ℝ, as n→∞, is investigated, where f is continuous differentiable function and g is a continuous and periodic ...

SINCE the publication of Prof. Zygmund's “Trigonometric Series” in 1935, there has been considerable demand for another book dealing with trigonometric integrals. Prof. Titchmarsh's book meets this ...

CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its ...

We establish the existence of a transfer, which is compatible with Kloosterman integrals, between Schwartz functions on GL n (ℝ) and Schwartz functions on the variety of non-degenerate Hermitian forms ...

Using the framework of twisted cohomology, we study twisted Riemann bilinear relations (TRBRs) satisfied by multi-loop Feynman integrals and their cuts in dimensional regularisation. After showing how ...