Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

For generations, Indian students have learnt it simply as the Pythagoras Theorem. In a quiet but significant shift, the Class 8 NCERT mathematics textbook has now introduced it as the ...

Get an easy, step-by-step explanation of the Gauss Divergence Theorem designed to make this important vector calculus concept clear and approachable. This video breaks down the intuition, geometry, ...

Regarded as one of the most influential scientists ever, Isaac Newton revolutionized mathematics and physics in the 17th century. His groundbreaking work in calculus, optics, and laws of motion laid ...

Rocky Point High School math teacher Jay Rand likes to challenge his students with a classic head-scratcher on the first day of class: Sum up the digits from 1 to 100, without counting. But first, he ...

In today's rapidly advancing world of science and technology, artificial intelligence (AI) is transforming our understanding and practices in many fields at an astonishing pace. Recently, an AI ...

不得了，这个名叫Gauss（高斯）的新AI Agent，有点杀疯了的感觉。 因为它只用了三周的时间，就完成了陶哲轩和Alex Kontorovich提出的数学挑战—— 在Lean中形式化强素数定理（Prime Number Theorem，PNT）。 要知道，陶哲轩和Kontorovich在2024年1月提出这个挑战后，足足花了 ...

Abstract: Correct understanding and mastering electrostatic field of Gauss theorem is the key part of learning electromagnetism, the field strength E in Gaussian theorem is the total field strength ...

When we think of animated sitcoms, complex mathematics isn’t what typically comes to mind. Yet shows like Futurama and Rick and Morty brought some hardcore science along with their humor and sci-fi ...

This respository contains projects made for the Matrix Calculus and Multivatiate Statistics course at the AGH UST in 2024 by team of 2 students.