Abstract: Functions of complex variables arise frequently in the formulation of signal processing problems. The basic calculus rules on differentiation and integration for functions of complex ...

Recall that an indefinite integral (or antiderivative) is so called as it provides a family of solutions with a constant term. It is called indefinite as the constant \(c\) can take any real value, ...

Fractal Geometry is an important area of Mathematics in order to describe sets that were too irregular and intricate to fit into the classical geometric setting. The concept of differentiation and ...

Analog-to-digital conversion methods abound, but we are going to take a look at a particular approach as shown in Figure 1. Figure 1 An analog-to-digital converter where an analog input signal is ...

Abstract: Grant-free non-orthogonal multiple access is an emerging communication paradigm, where devices transmit to an access point without explicit permission. However, unknown user activities add ...

Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

Pi Approximation Day 2025: Pi is a special number in mathematics. It shows the relationship between a circle’s circumference (the distance around the circle) and its diameter (the distance across the ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

When we make a measurement, we can never be sure that it is 100% "correct". All devices, ranging from a simple ruler to the experiments at CERN, have a limit in their ...