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What are Mathematical Functions?

Posted on July 30, 2020 Written by The Cthaeh Leave a Comment

Wheat (x) turning to flour and dough (f(x)) - metaphorically representing the argument of a function and the function itself

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 … [Continue reading]

Filed Under: General Mathematical Concepts Tagged With: Function

Arithmetic Properties: A Comprehensive Breakdown

Posted on July 13, 2020 Written by The Cthaeh Leave a Comment

Many numbers of different sizes with the planet Earth in the background and the text "arithmetic properties" in the foreground

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, … [Continue reading]

Filed Under: General Mathematical Concepts Tagged With: Arithmetic, Number

Numbers, Arithmetic, and the Physical World (Series)

Posted on July 6, 2020 Written by The Cthaeh 2 Comments

Many numbers of different sizes with the planet Earth in the background

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 … [Continue reading]

Filed Under: General Mathematical Concepts Tagged With: Arithmetic, Number

Binomial Distribution Mean and Variance Formulas (Proof)

Posted on May 19, 2020 Written by The Cthaeh 5 Comments

A skyscraper resembling a binomial distribution

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 … [Continue reading]

Filed Under: Probability Distributions Tagged With: Expected value, Mean, Probability mass, Variance

The Binomial Distribution (and Theorem): Intuitive Understanding

Posted on May 19, 2020 Written by The Cthaeh 1 Comment

A skyscraper resembling a binomial distribution

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 … [Continue reading]

Filed Under: Combinatorics, Probability Distributions Tagged With: Bernoulli distribution, Binomial distribution, Coin flip, Mean, Probability mass, Variance

The Bernoulli Distribution: Intuitive Understanding

Posted on May 5, 2020 Written by The Cthaeh Leave a Comment

A portrait of Jacob Bernoulli with a 17th century Swiss coin in the background

In today's post, I'm going to give you intuition about the Bernoulli distribution. This is one of the simplest and yet most famous discrete probability distributions. Not only that, it is the basis of many other more complex distributions. This … [Continue reading]

Filed Under: Probability Distributions Tagged With: Bernoulli distribution, Coin flip, Law of large numbers, Mean, Probability mass, Variance

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