# Dot products and duality | Essence of linear algebra, chapter 9

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

# Laplace Transform Explained and Visualized Intuitively

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

# But what is a partial differential equation? | DE2

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 # The simpler quadratic formula | Lockdown math ep. 1

**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

# Dirac Delta Function; the Point Function.

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.