(Polynomial equations with integer coefficients are also known as Diophantine equations.) Probably the most famous of these equations is the subject of Fermat’s Last Theorem: xk + yk = zk, for k>2.

First, we need to find which number when substituted into the equation will give the answer zero. \(f(1) = {(1)^3} + 4{(1)^2} + (1) - 6 = 0\) Therefore \((x - 1)\)is ...

What type of roots the equation has can be shown by the discriminant. The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). And the types of root the equation has ...

A decade after the discovery of the “amplituhedron,” physicists have excavated more of the timeless geometry underlying the ...

Get here the latest and detailed syllabus of CBSE Class 9 Mathematics to plan your studies effectively for the exams in ...

Slater, Paul B. and Dunkl, Charles F. 2015. Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States. Advances in ...

How useful is Bernoulli's equation? How restrictive are the assumptions governing its use? Here we give some examples. Consider the steady, flow of a constant density fluid in a converging duct, ...

Having lowered the bar for the sense in which we hope to solve a system of linear equations, one might wonder whether this quantum algorithm 3 offers a real advantage over classical computing at all.

Miyagawa, Akihiro and Speicher, Roland 2023. A dual and conjugate system for q-Gaussians for all q. Advances in Mathematics, Vol. 413, Issue. , p. 108834.

On Tuesday, 538 released its 2024 election forecast for the House of Representatives. The general idea behind our forecast is to combine polling data (say, on which party Americans want to control ...

Reuters, the news and media division of Thomson Reuters, is the world’s largest multimedia news provider, reaching billions of people worldwide every day. Reuters provides business, financial ...

A regression discontinuity analysis finds essentially no effect of 1 additional year of secondary education on brain structure in adulthood. This is a valuable finding that adds to the literature on ...