Probabilistic World

Numbers, Arithmetic, and the Physical World (Series)

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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 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.

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The Binomial Distribution (and Theorem): Intuitive Understanding

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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 probability distributions.

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The Birth and Evolution of Cryptographic Codes

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Cryptography, historical series, part 4 (Alfred Dreyfus & Mary, Queen of Scots in the background)

Welcome to part 4 of my series on cryptography! After taking an in-depth look into ciphers in the previous two posts, now it’s time to delve into the other big category of cryptographic methods. So, this week’s post is going to be about cryptographic codes.

This post is part of my series Cryptography: Historical Intro & Combinatoric Analysis.

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The Column and Caesar Ciphers: Ancient Cryptography

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Cryptography, historical series, part 2 (Roman and Spartan statues in the background)

Today, I’m going to introduce two ciphers from the dawn of cryptography: the column cipher and the Caesar cipher. These ciphers illustrate some of the first human ideas in the direction of cryptographic thought.

This post is part of my series Cryptography: Historical Intro & Combinatoric Analysis.

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