Whole-mount 3D imaging at the cellular scale is a powerful tool for exploring complex processes during morphogenesis. In organoids, it allows examining tissue architecture, cell types, and morphology ...

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 ...

This yields the matrix exponential function in the time-invariant case without having to “guess” the series definition. In the course of this exposition, various fundamental concepts, such as ...

A.I.’s math problem reflects how much the new technology is a break with computing’s past.

While scalar Riccati equation has been studied thoroughly, matrix Riccati equation of which scalar Riccati equations is a particular case, is much less investigated. This article proposes a change of ...

In conclusion, this research offers valuable insights into the comparative performance of Python, MATLAB, and Scilab in solving nonlinear systems of equations. It underscores the importance of ...

It shows you how to solve for x+y when x + xy + y =54 and x and y are positive integers. The video solves it via factoring. I solved it in Python. Here are two ways to do it. The first is the ...

An exact method is presented for discretizing a constant-coefficient, non-square, matrix differential Riccati equation, whose solution is assumed to exist. The ...