131–133 of 133 posts
> Place a measuring cup in your backyard every time it rains and note the height of the water when it stops: Your data will conform to a bell curve. That strikes me as unlikely, actually: that the amount of water to fall (per area) across rain showers ("when it stops") is normally distributed. Why would the author think that? Also, not much of "the math that explains" the CLT in the article. The basic conditions are:…
The way I understand this is that adding of random variables is a smoothening operation on their densities (more generally the distributions, but let me speak of densities only). A little more formally, additions over random variables are convolutions of their densities. Repeated additions are repeated convolutions. A single convolution can be understood as a matrix multiplication by a specific symmetric matrix. Repe…
The entire control systems theory is basically various applications of linear algebra. Like Kalman Filter that got us to the moon. Simply amazing.