While there are formulas and tools for performing simple functions like addition, subtraction, multiplication, etc. in Excel, exponential calculations could be a little complicated. There is no ...

In the present article, we review a continual effort on generalization of the Trotter formula to higher-order exponential product formulas. The exponential product formula is a good and useful ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Abstract: A novel algorithm for efficient direct integration of Sommerfeld integral (SI) tails arising in the numerical analysis of antennas and scatterers embedded in multilayered media, is presented ...

Abstract: In this study we utilize quadrature rules based on double exponential formulas to evaluate strongly singular volume integrals. First it is shown numerically that double exponential formulas ...

This video explains a challenging exponential equation step by step, showing how to simplify expressions, apply exponent rules, and solve systematically without skipping key logic. Perfect for ...

The code is based in mostly on http://www.kurims.kyoto-u.ac.jp/~ooura/intde.html for the tanh-sinh (double exponential) method Bibliography M.Mori, Developments in ...