H. Takahasi and M. Mori, Double Exponential Formulas for Numerical Integration, Publications of RIMS, Kyoto University, vol. 9 (1974), pg. 721–741. which is known as the high precision quadrature. The ...

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 ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

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 ...

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 ...

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 ...

where a ¹ 0 and b is a constant called the base of the exponential function. b > 0 and b ¹ 1 x is the independent variable. It is the exponent of the constant, b. Thus exponential functions have a ...

Oscilloscopes are the workhorse instruments for time domain measurements. Most current digital oscilloscopes include about twenty-five built in measurement parameters as a standard complement. Adding ...