Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what’s going on with the dot product, and the connection between its numerical computation and … Continue reading Dot products and duality | Essence of linear algebra, chapter 9
Pierre-Simon, marquis de Laplace (/ləˈplɑːs/; French: [pjɛʁ simɔ̃ laplas]; 23 March 1749 – 5 March 1827) Pierre-Simon, marquis de Laplace was a French scholar and polymath whose work was important to the development of engineering, mathematics, statistics, physics, astronomy, and philosophy. He summarized and … Continue reading Laplace Transform Explained and Visualized Intuitively
Typo corrections: – At 1:33, it should be “Black-Scholes” – At 16:21 it should read “scratch an itch”. If anyone asks, I purposefully leave at least one typo in each video, like a Navajo rug with a deliberate imperfection as … Continue reading But what is a partial differential equation? | DE2
Some of you may be concerned about the final step here where we said the circle approaches a line. What about all the lighthouses on the far end? Well, a more careful calculation will show that the contributions from those … Continue reading Why is pi here? And why is it squared? A geometric answer to the Basel problem
**Mistakes (there will always be mistakes): At 22:00, I write “b’ / 2” instead of “-b’ / 2”.** In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and … Continue reading The simpler quadratic formula | Lockdown math ep. 1
The delta function can be viewed as the derivative of the Heaviside step function, The main property of the delta function is in the fact that it reaches infinity at a single point and is zero at any other point. … Continue reading Dirac Delta Function; the Point Function.