Mathematics
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Unsolved Problems -- from Wolfram MathWorld
There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems (as well as some which are not necessarily so well known) include 9. Finding a formula for the probability that two elements chosen at random generate the symmetric group .
13 Useful Math Cheat Sheets
Posted by Antonio Cangiano in Applied Math , Math Education , Software , Tutorial on September 20th, 2008 | 35 responses Cheat sheets can be very useful and make for great posters around your room. The following is a collection of 13 cheat sheets for several mathematical topics and programs: And since most of us like to show our math pride off when out and about as well, Amazon sells this awesome Math Cheat Sheet T-shirt with formulas on both sides (Also available for Science and Engineering ). How awesome is this?In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last in the same column, until you write a value of 1. In the right-hand column repeatedly double the last number and write the result below. stop when you add a result in the same row as where the left hand column shows 1. print ethiopian ( 17 , 34 ) While building the table, it's easier to simply not print unused values, rather than have to go back and strike them out afterward. (Both that and the actual adding happen in the "IF NOT (isEven(x))" block.)
Ethiopian multiplication - Rosetta Code
Maze Generator
NOTE : This applet will not run properly using Microsoft's Internet Explorer 4 browser if Explorer's Java JIT compiler is turned on. To turn it off, select Views from the menu bar, then Options (or Internet Options ) from the pull-down. Select the Advanced tab, then look for a checkbox with the label Java JIT compiler enabled .
It was formally discovered by the Greeks and incorporated into their art and architecture, but it has been shown to occur even in prehistoric art, possibly as a function of Man's natural affinity for it's beauty. The rectangle at left has a vertical edge length of 1 Phi proportions in Moth wings and pattern
Patterns of Visual Math - Phi 1.618
ur story starts with a guy named Rudy Rucker , an American mathematician, computer scientist and science fiction author (and in fact one of the founders of the cyberpunk science-fiction movement). Around 20 years ago, along with other approaches, he first imagined the concept behind the potential 3D Mandelbulb (barring a small mistake in the formula, which nevertheless still can produce very interesting results - see later), and also wrote a short story about the 3D Mandelbrot in 1987 entitled " As Above, So Below " (also see his blog entry and notebook ). Back then of course, the hardware was barely up to the task of rendering the 2D Mandelbrot, let alone the 3D version - which would require billions of calculations to see the results, making research in the area a painstaking process to say the least. So the idea slumbered for 20 years until around 2007.
Mandelbulb: The Unravelling of the Real 3D Mandelbrot Fractal
Mathematical Tools