Heard of Pigeon hole principle?

Issue #2

Today I am discussing the Pigeon hole principle and its vast applications. I happened to see about pigeon-hole theory in one of my social media feeds and thought of digging about it further. I was really amazed to know about its use even though it is a very simple concept. So thought maybe sharing that with you all will be good.

So what’s the pigeon hole principle???

It is a simple concept, suppose we have m number of pigeons and we have n pigeon holes such that m(number of pigeons) > n(number of pigeon holes). Then the pigeon hole principle says that there must be more than one pigeon in at least one pigeon hole.

Another simple example where this example can be applied is if we have 1000 people in a company and their password consists of only 3 digits, then there are at least two people with the same password.

Did you know that this simple concept is applied in various mathematical proofs? One such application is in the proof of Dirichlet’s approximation theorem.

You can find more interesting examples and their solutions that can be solved using the pigeon hole principle through the below link.

Pigeonhole Principle examples

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Here are some of the insightful tweets I came across after the last issue :)

• Is being multi-passionate a weakness or superpower? by Jerine…

Jerine | 🚢 Mindset & Writing🚢 @jerinenicole

A few days ago, I tweeted about the topic of niching down. It opened up a slight debate, but I'm happy knowing that I'm not the only one. As a multi-passionate person, it's hard to listen to what others say online if it doesn't align with who you are. My liberating approach😌

• David Perell talks about the two kinds of working modes of the creators.

David Perell @david_perell

Creatives have two kinds of working: 1) Beer mode: A state of unfocused play where you discover new ideas. 2) Coffee mode: A state of focused work where you grind towards a specific outcome. You find ideas in Beer mode and implement them in Coffee mode.

• Oliver shared some of the most important git commands used on a daily basis.

Oliver Jumpertz @oliverjumpertz

Here are _some_ of the most essential git operations you will need when working as a developer. 🧵🔽

• Saasha shares a thread on the fundamentals of Reinforcement Learning.

Saasha is writing about RL 🤖 @saashanair

We have looked at the various components that form the RL problem over the past few tweets. For the sake of completeness, let's tie it all together by looking at: How do you formalise an RL problem❓ Or, what is an MDP❓ This is part of the mini-series: #FundamentalsOfRL 1/

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Last but not least here is a breathtaking portfolio I came across in my Twitter feed 🤯🔥🔥

• Portfolio

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That is it for this issue. Your feedback matters a lot in improving this newsletter. 😊

Feel free to provide feedback through a reply or you can find me through the below links. 😀

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