Fun with the Dot Product (Math = Patterns)

Imagine this. You have a terribly strong desire to learn as much math as you can. You know that people do research in math, whatever that...

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Jonathan

- Nov 21, 2021

Fun with the Dot Product (Math = Patterns)

Imagine this. You have a terribly strong desire to learn as much math as you can. You know that people do research in math, whatever that...

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Jonathan

- Nov 15, 2021

Rectangles in Polar Coordinates

Circles in rectangular coordinates...Rectangles in polar coordinates? This is a bit of a goofy one. Why? Well, I want to figure out...

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Jonathan

- Nov 15, 2021

The Integral of Csc(θ)

What is the integral of cscθ? Usually this is done by telling you to multiply by blah/blah where blah is some expression that comes...

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Jonathan

- Nov 5, 2021

Learning Pygame with Catan (Part 1)

An Intro to Catan Who else here used to play Settlers of Catan as a kid? The first memory I have with the game is happily placing roads...

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Jonathan

- Oct 17, 2021

The Arithmetic Derivative (Part 4)

What do the differential equations mean? Usually, we are motivated to study differential equations by situations in everyday life,...

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Jonathan

- Oct 13, 2021

The Arithmetic Derivative (Part 3)

Let us count The nice thing about the arithmetic derivative is that it takes a natural number to another natural number. This leads to...

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Jonathan

- Oct 12, 2021

The Arithmetic Derivative (Part 2)

Our first pattern So we've taken the usual rules for differentiation and applied them to natural numbers: D(ab) = aD(b) + D(a)b with...

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Jonathan

- Oct 9, 2021

The Arithmetic Derivative (Part 1)

An introduction If you've done calculus, then you've talked about differentiation. We usually talk about this in terms of "linear...

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