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Periodic Last Digits of Fibonacci Numbers

Here’s something I was playing around with the other day. Consider the Fibonacci sequence: . . I wanted to see if there was a pattern regarding the values of the ones digit in the fibonacci sequence....

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The Collatz Conjecture and Hailstone Sequences: Deceptively Simple,...

Here is a very simple math problem: If a number is even, divide the number by two. If a number is odd, multiply the number by three, and then add one. Do this over and over with your results. Will you...

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4 Is The Magic Number – Riddle

So fishes56 alerted me to this riddle in a comment here, and if you didn’t see it I wanted to share it here in a separate post cause its a little fun thing to think about. 12 is 6, 6 is 3, 3 is 5, 5 is...

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Weighing The Gold Coins (Brain Teaser)

You have 10 bags with 10 gold coins each. Nine bags have genuine coins that weigh 10g each, but one bag has fake coins that are only 9g each. Using a digital scale and only one weighing, how do you...

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A selection of algorithms for computing the nth Fibonacci Number

A selection of algorithms for computing the nth Fibonacci Number One of these algorithms even gets as fast as ! Very impressive.

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Chopsticks Game – A Combinatorial Challenge

So I don’t know if anyone else is familiar with this game, but I just remember playing it with friends in middle school and it occurred to me the other day that it would be an interesting game to...

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Halloween Themed Math Puzzles

Happy Halloween From  The Muse Garden! In the tradition of my Holiday Math Puzzles, I’m here with an appropriately themed puzzle for this time of year. Candy Distribution It’s that time of year all...

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A Quick Introduction to HDFS

The Hadoop filesystem is called HDFS, and today I’m going to give a short introduction to how it works for a beginner. The Hadoop File System (HDFS) sits on top of a Hadoop cluster and facilitates the...

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Pretty Print JSON From The Command Line

JSON can come in all shapes and sizes, and sometimes you want to see it in a structured format that’s easier on the eyes. This is called pretty printing. But how do you accomplish that, especially if...

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First Steps With Luigi Data Pipelines

Luigi makes managing your data pipelines easy and fun. Are you a data scientist or engineer that deals with large amounts of data in your daily work? Do you have an unmanageable mess of cron jobs and...

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