A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...

Abstract: This paper addresses a new concept to produce a noise robust pitch extraction function, which is called multiple functions multiplication. A modified version of the autocorrelation function ...

The Punjab School Education Board (PSEB) has issued the updated Class 12 Mathematics syllabus for the 2025-2026 academic year. This crucial resource for students preparing for the 2026 PSEB Class 12 ...

Functions are fundamental in mathematics, describing relationships between inputs and outputs. For instance, linear functions are used to describe proportional relationships such as calculating cost ...

To set prices that produce sales, small business owners need to understand the demand curves and inverse demand curves for their products and services. Knowing how each curve works will help owners ...

ABSTRACT: It is explicitly shown how the Schwarzschild Black Hole Entropy (in all dimensions) emerges from truly point mass sources at r=0 due to a non-vanishing scalar curvature involving the Dirac ...

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

Photonic innovation: researchers in the US have created an optical metamaterial that can perform vector–matrix multiplication. (Courtesy: iStock/Henrik5000) A new silicon photonics platform that can ...