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All Math Considered | A general math blog by Dan Ma

A general math blog by Dan Ma

http://allmathconsidered.wordpress.com/

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All Math Considered | A general math blog by Dan Ma | allmathconsidered.wordpress.com Reviews
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All Math Considered | A general math blog by Dan Ma | allmathconsidered.wordpress.com Reviews

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A general math blog by Dan Ma

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1

How to play the tower of Hanoi | All Math Considered

https://allmathconsidered.wordpress.com/2016/10/06/how-to-play-the-tower-of-hanoi

A math blog by Dan Ma. Skip to primary content. How to play the tower of Hanoi. October 6, 2016. This post shows how to play the tower of Hanoi, which is a fun game and is also interesting mathematically speaking. The Tower of Hanoi. Figure 1 – Tower of Hanoi with 6 Disks. Figure 2 – Home Made Tower of Hanoi with 8 Disks. The following is a tower of Hanoi with 32 disks found in Mexico as shown in Wikipedia. Figure 3 – Tower of Hanoi with 32 Disks. The Rules of the Game. Given a tower of Hanoi such as the...

2

An easy method for detecting composite numbers | All Math Considered

https://allmathconsidered.wordpress.com/2015/07/11/an-easy-method-for-detecting-composite-numbers

A math blog by Dan Ma. Skip to primary content. An easy method for detecting composite numbers. July 11, 2015. How do you test whether a number is a prime number? The author of a recent article. Came across the following 204-digit number that he incorrectly asserted as a prime number. It turns out that showing the number. Is composite is not difficult. The idea is what can be called the Fermat-2 test: if. Is a prime number, then. Or equivalently the remainder is 1 when. Using the fast powering algorithm.

3

The Game of Chuck-a-Luck | All Math Considered

https://allmathconsidered.wordpress.com/2016/12/12/the-game-of-chuck-a-luck

A math blog by Dan Ma. Skip to primary content. The Game of Chuck-a-Luck. December 12, 2016. We will show that the house edge is about 8 cents per dollar wagered. That is, the expected payout is for the casino (or carnival) is 8 cents per $1 bet. That means for the player would on average lose 8 cents per $1 bet. We use the game of Chuck-a-Luck to open up a discussion on the law of large numbers. The following is a Cuck-a-Luck set. The three dice in the cage and then rolled. Note that the original stake ...

4

Asking people for money | All Math Considered

https://allmathconsidered.wordpress.com/2016/11/01/asking-people-for-money

A math blog by Dan Ma. Skip to primary content. Asking people for money. November 1, 2016. Consider this thought experiment. Suppose that you ask the first person you meet for one dollar. Ask the second person you meet for half of a dollar. Ask the third person you meet for one-third of a dollar. To the one-hundredth person you meet, you ask for one-hundredth of a dollar. To the one thousand and first person you meet, you ask for. You may want to think about the puzzle. Which is greater than. Dollars, yo...

5

A fast way to do modular exponentiation | All Math Considered

https://allmathconsidered.wordpress.com/2015/07/10/a-fast-way-to-do-modular-exponentiation

A math blog by Dan Ma. Skip to primary content. A fast way to do modular exponentiation. July 10, 2015. In number theory and in cryptography, it is often necessary to raise a number. Here stands for exponent and is not to be confused with the natural log constant). In this post we explain an algorithm that can do such exponentiation efficiently. This algorithm goes by many names. Some of the common ones are fast powering algorithm, fast modular exponentiation, and square and multiply. Was factored in 199...

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All Math Considered | A general math blog by Dan Ma

A general math blog by Dan Ma. Skip to primary content. Skip to secondary content. The Game of Chuck-a-Luck. December 12, 2016. We will show that the house edge is about 8 cents per dollar wagered. That is, the expected payout is for the casino (or carnival) is 8 cents per $1 bet. That means for the player would on average lose 8 cents per $1 bet. We use the game of Chuck-a-Luck to open up a discussion on the law of large numbers. The following is a Cuck-a-Luck set. Note that the original stake that is r...

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About me myself and the blog 關於我及網誌. Sunday, 22 March 2015. Hey everyone do you sense anything different? Well the Project Euler counter breezed from 166 to 175 in these one or two days, and its like I can reach 200 or 225 without much difficulty. The main reason is that a new difficulty rating is out (it may not be new for you if you visit the site frequently though), and we can access to relatively easier later numbered question easier. Dont cheat by looking at the OEIS. Links to this post. The entry c...