We also prove that the two sets of Maxwell equations only depend on the non-linear elations of the conformal group of ...

Countless times the Botswana Football League’s (BFL) revolving door has swung to welcome a new sheriff amidst soaring expectations for the local game, but the highly charged Lekidi Centre environment ...

Abstract: A closed formula is given, which allows the determination of the impulsive solutions of linear homogeneous matrix differential equations (LHMDE) directly in terms of finite and infinite ...

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 ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Have you ever wondered how complex phenomena like fluid flows, heat transfer, or even the formation of patterns in nature can be described mathematically? The answer lies in partial differential ...