Learn how to generate random points inside a circle using Cartesian and polar coordinates. This video explains the mathematical reasoning, visual intuition, and common pitfalls, helping you understand ...

The steady-state heat equation for a circular plate with Dirichlet boundary conditions has been solved using a method that combines Fourier expansion and a second-order finite difference scheme. This ...

If your Word equation is not converting to professional format, you’re not alone. Some users have reported that equations typed in Microsoft Word on a Windows 11/10 PC fail to switch from linear text ...

Abstract: A novel architecture to realize the conversion of rectangular to polar coordinates is presented in this paper. The proposed technique for phase calculation uses a logarithmic number system ...

Abstract: The lack of range information for passive measurements complicates sensor registration, requires one to address the arctangent function's singularities, and prevents one from applying ...

Polar’s Historic $525 Million Investment Is Led by a $175 Million Contribution from Niobrara Capital and Prysm Capital, the Majority Investors in the U.S.-Owned Foundry, and Is Catalyzed through ...

Pull requests help you collaborate on code with other people. As pull requests are created, they’ll appear here in a searchable and filterable list. To get started, you should create a pull request.

Where $\rho(\mathbf{r})$ is a charge density. The purpose of this command-line tool is to convert between these two kind of multipole moments. For example, if you have computed the Cartesian multipole ...

To manage atmospheric carbon dioxide and convert the gas into a useful product, scientists have dusted off an archaic -- now 120 years old -- electrochemical equation. To manage atmospheric carbon ...