# Completing the Square

## This post assumes some familiarity with the Gaussian (also called Normal) distribution and matrix operations.

In my article called Maths Behind Machine Learning, I briefly touched on the idea of Gaussian distributions. The famous Gaussian distribution is so ubiquitous in applications of statistics that having some tools to see how it shows its face in some expressions is very useful. One of these tools is by completing the square.

# What is the problem statement?

Let’s take the density function p(y) below where y is a vector of n x 1 dimension.

# Outdated Beliefs

## You can be anything when you grow up.

This is usually meant to encourage children to believe they can do any job imaginable when they grow up as long as they work for it. As a child, I did believe this. However I have come to realise “anything” is such a strong word…

# The World of Work Re-wired

## Valerie Dela Cruz

Mathematics, books, and writing | With a penchant for self-reflection | Born and raised in the Philippines, lived in New Zealand, based in London

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