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Posted on January 18, 2022August 3, 2022Uncategorized

A Super Factorial, Double Factorial, Hyper Factorial?!

Happy New Year everyone! You probably know what a factorial is. $$n!=n \left(n-1\right)\left(n-2\right)\left(n-3\right)\times3\times2\times1$$ Or, if you like calculus: $$x!=\int_{0}^{\infty} t^x{e^{-t}} dt$$ Like, for example, 8!…

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Posted on June 19, 2021Uncategorized

Proof Writing (Part 1): An introduction to a couple types of proof.

Hello, and welcome back, and today we’re going to be pausing our discussion of Pascal’s triangle temporarily, and discussing some proof writing! (Don’t worry, this…

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Posted on May 25, 2021May 25, 2021Uncategorized

Pascal’s Triangle (Part 3):

Hello, and welcome to the 3rd episode in this 5 part series! In this blog we will be formally writing the Hockey-stick Principle showcased in…

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Posted on May 22, 2021May 25, 2021Uncategorized

Recamán Sequence

The Recamán Sequence might look like a jumble of numbers at first glance. But then it becomes clear. THE BIG PICTURE The 0th term is…

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Posted on May 9, 2021February 27, 2022Atharv's Posts

Erwin Schrödinger and the Half-Alive Cat

Austrian physicist Erwin Schrödinger is one of the founders of quantum mechanics. In 1935, he posed this problem: imagine you take a cat and place it in a sealed box along with a radioactive device that had a 50% chance of killing the cat. In an hour, is the cat dead or alive? What do you think?

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Posted on May 1, 2021May 25, 2021Uncategorized

Pascal’s Triangle (Part 2)

Hello everyone! Welcome back to my blog series on Pascal’s Triangle. Today we will be looking at the first pattern covered in the last blog–triangular…

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Posted on April 18, 2021May 23, 2021Guest Posts

Pascal’s Triangle (Part 1)

In this blog, we discus some of the more basic properties in Pascal’s triangle, and lay a foundation for the future blogs in this series!

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Posted on April 4, 2021November 26, 2021Atharv's Posts

The Fibonacci Sequence (Part 1)

Hi everyone! Today I am going to talk about the Fibonacci sequence and where it appears in nature.

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Posted on March 28, 2021March 31, 2021Guest Posts

Modular Arithmetic Part 5 (Finale)

The pinnacle of this series of modular arithmetic, we prove a theorem that ties everything together!

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Posted on March 22, 2021March 31, 2021Guest Posts

Modular Arithmetic Part 4 (Multiplication tables and inverses)

In the penultimate episode of modular arithmetic, we discuss the relation between inverses, and multiplication tables, and set the scene for part 5!

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Recent Posts

  • A Super Factorial, Double Factorial, Hyper Factorial?!
  • Proof Writing (Part 1): An introduction to a couple types of proof.
  • Pascal’s Triangle (Part 3):
  • Recamán Sequence
  • Erwin Schrödinger and the Half-Alive Cat

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