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You must register or log in to post a message. My favourite problem relating to complex numbers is the following question. Can you find a pair of numbers (x,y) such that x^2=y, y^2=x, but x=/=y?  How to make complex numbers interesting: color the number (real as lighty, imaginary as wheel, every colors induce 3 dimensions but just needs 2 dimensions) try see Dimension B and Y (Jellify) As for part 2, I assume you want us to find a general formula for the Fibonacci sequence and then substitute n=1/2 in. I'm not sure if you want just the real part or both real and imaginary. Suffice it to say that the expression is pretty horrible looking either way - so I will use phi for the Golden Ratio to shorten it as much as possible. Only my answer is below because it's a lot of working out to post. Part 2: I would say the parametric solution of a=t, b=20-4t is the most complete 'solution', again as GIS said. You can get the solution outlined in B if t=4, and if you substitute t=2 you get b=20-4(2)=20-8=12, which is not the correct b for option C to be a valid solution. Let me give you a problem, solve for x and y in the following system of equations: x+y=1, x^2+y^2=1 If that is too easy, how about swapping the 2 for 3, or 4?   4a-2+b=18 Solve for a and b. Hint: You can use mental math for this one. Choose the correct letter. A. a=4, b=2 B. a=4, b=4 C. a=2, b=4   Chris3000     And i shall take my leave. (also, gj on the new game!) | GeneralFirst post of the topic So, let's GO! **!!Knobs are allowed, but only if you use them with parsimony!!** Ideas to post: Pictures of the editor of levels Something about games Interesting stuff (like The canopener has been invented 42 years after the can) Funny things Funny Pictures Funny videos Funny histories Or not funny histories Spam (like PIE PIE PIE...) and more.. Weird thing from other language (like PIE means feet in spanish..) Do what U wan't, but don't insult! And no flooding, we don't want to get drowned in messages (flooding = posting big messages) |
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anyway, I made music with complex number, hey look! could you please appreciate?
Number as Note Tone, imaginary by instrument tone
Drawing (e^±i)