Rewrite \(y = {x^2} - 6x + 11\) in the form \(y = {(x - b)^2} + c\). To get \(b\) (the number inside the bracket), halve the coefficient (number in front) of the second term in the original equation.

IIT Guwahati has released the Data Science & Artificial Intelligence subject this year. Download the GATE Data Science & ...

In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

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 ...

If the mention of algebra conjures bad memories of math classes, a Python library called SymPy could change your mind about ...

Abstract: In this work, we propose a complex-valued neural operator (CV-NeuralOp) based on graph neural networks (GNN) to solve 2D wave equation. Inspired by the Green’s function method for solving ...

Abstract: In this paper, we study the problem that minimizes or maximizes a multi-order complex quadratic form with constant-modulus constraints on all elements of the optimization variable. This ...

freeCodeCamp.org is a friendly community where you can learn to code for free. It is run by a donor-supported 501(c)(3) charity to help millions of busy adults transition into tech. Our community has ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2017. Edited by Kenneth A. Ribet, University of California, Berkeley, CA ...