Abstract: We investigate the distribution of the logarithmic derivative of the Riemann zeta-function on the line ℜ(s)=σ, where σ lies in a certain range near the critical line σ=½. For such σ, we show ...

The derivatives for any functions like polynomial, power, exponential, logarithmic and circular functions can be easily found by knowing the derivative for their base function. For example, the ...

A novel method based on logarithmic derivative is introduced to analyze multi-lifetime decay. As the discharge voltage signal of a RC circuit is a special kind of multi-lifetime exponential decay, the ...

Abstract: The electromagnetic oscillatory instability resulting from converter control interactions represents a crucial issue in large-scale renewable powered systems. Quantitatively assessing the ...

This OCaml code defines a function d for symbolic differentiation, capable of computing the derivative of various mathematical expressions represented as an algebraic data type. The function takes two ...

In a previous paper (Lyness and Moler [1]), several closely related formulas of use for obtaining a derivative of an analytic function numerically are derived. Each of these formulas consists of a ...

Earlier D.Đ. Tošić obtained an infinite series representation for the central difference operator ${\delta _\theta }f\left( z \right) = f\left( {z' + \frac{1}{2}h ...

Revise differentiation of algebraic and trigonometric expressions, which can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a ...