PinnedMathphyeModeling a cable-suspended robotUnderdetermined system ~ Linear algebra7 min read·Dec 29, 2023--2--2
PinnedMathphyeThe General Pythagorean TheoremMeet a Generalization of The Pythagorean Theorem you didn’t expect to be this easy.6 min read·Mar 14, 2023--2--2
PinnedMathphyeNull space, the black hole of Math.Why do neural networks learn? What does the null space have to do with the information? Why does a system of linear equations have no…6 min read·Aug 29, 2022--3--3
PinnedMathphyeWhat is behind the most beautiful equation?Euler’s identity is a special case of Euler’s Formula. It’s known as “The Most Beautiful Equation in Math”. It hides a secret behind it…7 min read·Aug 5, 2022--2--2
Mathphyedet(A)=0 is not a problem anymoreWe avoid facing singular matrices at all costs, but there is a way…14 min read·May 2, 2024--4--4
MathphyeSquare root for complex numbersI saw a short video on YouTube and reflected on it, and maybe many of you want to know. You need to be cautious about applying square roots…6 min read·Apr 5, 2024----
MathphyeThe Language of the Mechanical UniverseHow could we understand the universe in such a way we could predict the future knowing the past and the present? Let me introduce you to…19 min read·Aug 18, 2023----
MathphyeMath trick: Partial fraction decomposition (Case 1)Discover a straightforward way of calculating partial fractions coefficients.3 min read·Feb 2, 2023----
MathphyeWould students stop thinking if they use chatGPT to do their homework?I like to take into account both the positive and negative aspects. There seems to be a lot of negativity surrounding the use of ChatGPT in…5 min read·Jan 14, 2023--1--1
MathphyeWhat does it mean to have a determinant equal to zero?A determinant equal to zero means that a matrix is a singular matrix. A matrix is singular if it does not have an inverse, which means it…6 min read·Jan 5, 2023--2--2