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 ...

An exponential function is a mathematical function in the form of \( f(x) = a^x \) where \(x\) is an exponent and \(a\) is a constant (also known as the base) and where \( a \in \mathbb{R}^+ \) and \( ...

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 ...

This is a preview. Log in through your library . Abstract It is shown that for wave functions of the form Ψ = Σk Ck exp (-Qk), where Qk is any positive definite quadratic form in the Cartesian ...

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 ...

When it comes to teaching mathematics to students, identifying different types of functions can be a challenging task. Two of the most common types of functions encountered in high school math are ...

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 ...