Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20050808 15:09:32
Nice graphsDo any of you have cool graphs plotted by some computer program (eg. graphmatica) #2 20050808 17:26:46
Re: Nice graphsI like graphing the sum of various sine functions in Excel. I first found out about it in Physics, when doing constructive and destructive interference of waves. If you combine about three of different frequencies and amplitudes, you can get some really nice patterns. Last edited by mathsyperson (20050810 01:08:32) Why did the vector cross the road? It wanted to be normal. #3 20050808 20:50:44
Re: Nice graphs
Fermat proved this at the beginning of the 17th century! In fact, he proved that all primes of the form 4n+1 can be written as the sum of two squares in exactly one way. The proof is not trivial. However, there is a very simple proof that no primes of the form 4n1 can be written as the sum of two squares. 2 + 2 = 5, for large values of 2. #4 20050808 23:33:01
Re: Nice graphsOops! OK, fixed it. Thanks. Why did the vector cross the road? It wanted to be normal. #5 20050809 17:32:09
Re: Nice graphs
4n1 = a² + b² Last edited by ganesh (20050809 18:15:03) Character is who you are when no one is looking. #6 20050809 23:44:02
Re: Nice graphsA simple proof that no integer of the form 4n1 can be written as the sum of two squares. 2 + 2 = 5, for large values of 2. #7 20050810 00:30:59
Re: Nice graphsTry graphing y = sin(x) + sin(x°). (y = sin(x radians) + sin(x degrees).) 2 + 2 = 5, for large values of 2. #8 20050810 00:59:52
Re: Nice graphssin x° is a wave that repeats for every 360 units. Last edited by mathsyperson (20050810 01:13:14) Why did the vector cross the road? It wanted to be normal. 