Welcome to my introductory post to a large series that I’m starting today. The main purpose of this post is to get you in the mood for the posts to follow. Namely, exploring and solving interesting probability questions from the real world.

[Read more…]## What are Mathematical Functions?

The topic of today’s post is **mathematical functions**. Functions are such a fundamental part of mathematics that you’re certain to encounter them almost everywhere.

Recently, I started a small series on numbers and arithmetic, in order to begin exploring the intuition of basic mathematical concepts that most of us take for granted. And these concepts themselves are the building blocks of more advanced concepts, including more advanced concepts in probability theory.

But to fully understand them, we also need to know the details and intuition of some general mathematical tools which we’re going to rely on along the way. Well, functions are first in line!

[Read more…]## Arithmetic Properties: A Comprehensive Breakdown

Welcome to the second post from my series on numbers and arithmetic. As a sort of continuation to the introductory post, here I want to talk about the most important properties of arithmetic operations.

*This post is part of my series* Numbers, Arithmetic, and the Physical World.

## Numbers, Arithmetic, and the Physical World (Series)

Hi, everyone! Today’s post is the introduction to a new mini-series on numbers and arithmetic.

In this series, I’m going to take you back to some elementary math concepts from your childhood. I want you to get a good intuition about fundamental mathematical objects which we use in pretty much everything else we do in math. Namely, the objects called **numbers**.

Besides numbers themselves, I want to focus on the intuition behind the most common operations with numbers: addition, subtraction, multiplication, division, exponentiation, roots, and logarithms. The field concerned with these operations is called **arithmetic **and is one of the fundamental fields in mathematics.

## Binomial Distribution Mean and Variance Formulas (Proof)

This is a bonus post for my main post on the binomial distribution. Here I want to give a formal proof for the binomial distribution mean and variance formulas I previously showed you.

*This post is part of my series on discrete probability distributions.*

## The Binomial Distribution (and Theorem): Intuitive Understanding

Hi, everyone! And welcome to my post about the binomial distribution! Just like the Bernoulli distribution, this is one of the most commonly used and important discrete probability distributions.

*This post is part of my series on discrete probability distributions.*

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