Abstract: The natural exponential function is an important basic arithmetic function with a wide application in many fields such as artificial intelligence. In order to satisfy the demands 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 ...

Abstract: With the development of computing technologies, computer-based simulation methods have gained increasing attention in reliability analysis of engineering systems, among which subset ...

In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class ...

A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

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 ...

ABSTRACT: The concept of generalized order statistics has been introduced as a unified approach to a variety of models of ordered random variables with different interpretations. In this paper, we ...

This is the first in a four-part series looking at the big ideas in Ray Kurzweil's book The Singularity Is Near. Be sure to read the other articles: Technology Feels Like It’s Accelerating—Because It ...

Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...