The fun fact shown in this code is that the natural logarithm of the base of an exponential function times the values of that exponential function equals the rate of change of that function with ...

Like Gaussian quadrature, tanh-sinh quadrature is well suited for arbitrary-precision integration, where an accuracy of hundreds or even thousands of digits is desired. The convergence is exponential ...

A formula for numerical integration is prepared, which involves an exponential term. This formula is compared to two standard integration methods, and it is shown that for a large class of ...

Abstract: This paper presents a linear-exponential two-phase multi-bit incremental ADC (IADC). The exponential integration in the proposed IADC is generated by positively feedback the integrator ...

We show in this article that fractionally integrated processes with Bloomfield (1973) exponential spectral disturbances can be well approximations to fractional models with AR disturbances. In fact, ...