In this math tutorial, we explore three methods for dividing polynomials, focusing on the expression x squared minus 6x minus 7 divided by x plus 1. We specifically highlight that factoring ...

Department and Coordination of the Licentiate in Mathematics, Federal Institute of Education, Science and Technology of Paraíba (IFPB/CG-PB), Campina Grande-PB, Brazil. The quantum harmonic oscillator ...

In this video playlist, I will show you the basics for polynomial functions. We will start with factoring polynomial equations to determine the zeros of a polynomial. We will then learn how to write ...

\[f(x) = x^{-2}\text{ or }f(x) = \frac{1}{x^{2}}\] Both functions have asymptotes at \(x = 0\) and \(y = 0\) for their basic forms. The vertical asymptote at \(x = 0 ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

Every day, researchers search for optimal solutions. They might want to figure out where to build a major airline hub. Or to determine how to maximize return while minimizing risk in an investment ...

Position data from real-time indoor positioning systems are increasingly used for studying individual cow behavior and social behavior in dairy herds. However, missing data challenges achieving ...

Alpha functions usually aim at predicting the thermodynamic properties of specific compounds in a limited range of reduced temperatures. The differences between polynomial alpha functions are mainly ...

Multi-omics data integration is one of the major challenges in the era of precision medicine. Considerable work has been done with the advent of high-throughput studies, which have enabled the data ...

This repo host implementations and explanations of different RSA attacks using lattice reduction techniques (in particular LLL). First, we'll see how Coppersmith found out that you could use lattice ...

The density matrix renormalization group method has been extensively used to study the ground state of 1D many-body systems since its introduction two decades ago. In spite of its wide use, this ...