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Joshua Pickard

Joshua Pickard
in
Math Simplified

Graph Theory: Euler’s Theorem for Planar Graphs

Planar graphs are a special type of graph that have many applications and arise often in the study of graph theory.

Feb 9, 2022

Graph Theory: Euler’s Theorem for Planar Graphs

Feb 9, 2022

Joshua Pickard
in
Geek Culture

Intro to Graph Theory

Graph theory is the study of structures that have pairwise relations.

Feb 6, 2022

Intro to Graph Theory

Feb 6, 2022

Joshua Pickard
in
Math Simplified

Bijective Proofs and Catalan Numbers

If 2 sets have a bijective, invertible function between them, then they are the same size. Catalan Numbers describe over 200 of these sets.

Feb 5, 2022

Bijective Proofs and Catalan Numbers

Feb 5, 2022

Joshua Pickard
in
Geek Culture

Pigeonhole Principle and Functions

While the Pigeonhole Principle is one of the main ideas in combinatorics, it has broad applications and it is surprisingly simple to…

Feb 4, 2022

Pigeonhole Principle and Functions

Feb 4, 2022

Joshua Pickard
in
Geek Culture

4 Pictures of Matrix Multiplication

This post presents 4 simple, powerful methods for thinking about matrix multiplication.

Feb 1, 2022

4 Pictures of Matrix Multiplication

Feb 1, 2022

Joshua Pickard
in
Geek Culture

Colab and Github

Colab is great to write Python in, and Github is helpful for project management. This article shows how to link these 2 tools.

Jan 27, 2022

Colab and Github

Jan 27, 2022

Joshua Pickard
in
Geek Culture

Right and Left Matrix Multiplication

Matrix multiplication is one of the most important operations in math and computing. This article presents 2 better ways to think about it.

Jan 27, 2022

Right and Left Matrix Multiplication

Jan 27, 2022

Joshua Pickard
in
Geek Culture

A Neural Network Playground

Build, train, and gain intuition for neural networks with TensorFlow Playground.

Jan 26, 2022

A Neural Network Playground

Jan 26, 2022

Joshua Pickard
in
Geek Culture

The Perceptron Algorithm: How it Works and Why it Works

The Perceptron Algorithm is the simplest machine learning algorithm, and it is the fundamental building block of more complex models like…

Jan 17, 2022

The Perceptron Algorithm: How it Works and Why it Works

Jan 17, 2022

Joshua Pickard
in
Geek Culture

Decision Trees

Decision trees work by recursively splitting data based on elements of the feature vectors that contain the most information. Based on…

Dec 27, 2021

Decision Trees

Dec 27, 2021

Joshua Pickard

Joshua Pickard

Computer Science and Bioinformatics @ University of Michigan. Website: https://jpickard1.github.io/ Twitter: @JoshuaPickard_

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