Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

Abstract: The natural exponential function appears in a broad range of conventional and emerging applications, including the activation functions used in deep learning applications. This article ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Abstract: This paper proposes a novel approximation for the exponential integral function, E 1 [x], using a sum of exponential functions. This approximation ...

Graphs of exponential functions: examining the distinctive curve of exponential growth and decay Graphs of logarithmic functions: analysing how logarithmic functions represent the inverse of ...

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 ...

Data that have a multilevel structure occur frequently across a range of disciplines, including epidemiology, health services research, public health, education and sociology. We describe three ...

Java is an object-oriented programming language. To create objects and meaningfully initialize them, a developer must use a Java constructor. Constructors are a critical part of software development ...

Have you ever been curious about why the number e is so popular in math? Euler’s number, which is an infinitely long decimal, close to 2.71828, pops up naturally in a surprisingly broad range of ...