Some weeks ago, and quite by chance, a friend offered to sell me a rare mid-19th century rifle, the design of which I had long found to be of interest. Although I was not at [more…]
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The Möbius function is denoted by , where is the Greek letter mu. Depending on the factorisation of , the function takes the values . The last says that if is even, then and if [more…]
Melting a hole through steel: The above image needs a little explanation! The Doc messed up his camera settings and under exposed the image. So I loaded it into Gimp and played with the curves [more…]
The Doc’s ruby laser focused onto a lighter flint. The flint has been glued to the end of a match stick. The ‘explosion’ measures approximately 4 inches diameter. Interesting things to note are the ‘candy [more…]
More information on laser speckle can be found here: Speckle pattern A Mirror Alignment Tool The most important part of constructing a ruby laser (or any laser with external mirrors) are getting the mirrors alligned [more…]
“Rise above oneself and grasp the world” These are awarded every four years for advancement in the field of mathematics. There is an age limit of 40 on the recipients. It is a recognition of [more…]
Euler’s totient function counts the number of positive integers up to that are relatively prime to , where is considered to be relatively prime to all . These numbers are called the totatives of . [more…]
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