/explore
|
You are here 
|
gowers.wordpress.com | ||
| | | | |
alexop.dev
Learn the fundamental mathematical notations that form the building blocks of mathematical communication, from basic symbols to calculus notation. |
|
| | | | | ||
| | | | |
peterbloem.nl
[AI summary] The pseudo-inverse is a powerful tool for solving matrix equations, especially when the inverse does not exist. It provides exact solutions when they exist and least squares solutions otherwise. If multiple solutions exist, it selects the one with the smallest norm. The pseudo-inverse can be computed using the singular value decomposition (SVD), which is numerically stable and handles cases where the matrix does not have full column rank. The SVD approach involves computing the SVD of the matrix, inverting the non-zero singular values, and then reconstructing the pseudo-inverse using the modified SVD components. This method is preferred due to its stability and ability to handle noisy data effectively. |
|
| | | | | ||
| | | | |
www.randomservices.org
[AI summary] The text covers various topics in probability and statistics, including continuous distributions, empirical density functions, and data analysis. It discusses the uniform distribution, rejection sampling, and the construction of continuous distributions without probability density functions. The text also includes data analysis exercises involving empirical density functions for body weight, body length, and gender-specific body weight. |
|
| | | | | ||
| | | | |
www.quantamagazine.org
Mathematicians using the computer program Lean have verified the accuracy of a difficult theorem at the cutting edge of research mathematics. |
|
| | | |||
