Recent content by mapmatt
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Undergrad A possible more general form of Euler's identity
If you were to take these 'relations' as you call them to a high enough dimensions and look in the right place you might just find the universe.- mapmatt
- Post #24
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
I suppose there'd be 24 with a z.- mapmatt
- Post #23
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
I've still not seen them outside of the small plot given by wolframalpha.com I'm going to try posting these on Wikipedia, along with each plot and the formulas written with no trig functions, just in terms of e, and i. This time I might try posting to the talk page 1st, they might even let me...- mapmatt
- Post #22
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
Almost correct, but also the sines and cosines or the reciprocals of x and y. Can't you see anything special or unusual about the graphs they plot?- mapmatt
- Post #21
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
i wander what they all look like superimposed on each other. How many are there? cos(x)/cos(1/y)=sin(1/x)/sin(y) cos(x)/cos(1/y)=sin(y)/sin(1/x) cos(x)/sin(1/x)=sin(y)/cos(1/y) cos(x)/sin(1/x)=cos(1/y)/sin(y) cos(x)/sin(y)=cos(1/y)/sin(1/x) cos(x)/sin(y)=sin(1/x)/cos(1/y)...- mapmatt
- Post #19
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-snc6/253026_10151029575451116_1780170426_n.jpg- mapmatt
- Post #18
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
they're very pretty though!- mapmatt
- Post #17
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
oh right, never seen one. that knocks that on the head then.- mapmatt
- Post #16
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
All of them. Don't know about Euler's identity, but this looks a bit like the fingerprint of the universe: https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-ash4/400225_10151029543626116_786265305_n.jpg I have never seen anything this strange come from a relatively simple trigaonametric...- mapmatt
- Post #14
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
Getting a little bit complicated now, but plot here: http://wolfr.am/VkwFv8 is truly bizarre? I now need better software on my computer as would like more detailed plot and the simple online tool will only plot in terms of y= ... I don't fancy finding y from that equation! I must get back to...- mapmatt
- Post #12
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
Thanks, excellent points and well made! What about this equation then: cos(x)/sin(1/x)=sin(y)/cos(1/y)- mapmatt
- Post #11
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
Oh, and a nicer online graph plot of the function/equation: cos(x)/sin(1/x) or also written as: -(i (e^(-i x)+e^(i x)))/(e^(-i/x)-e^(i/x)) see: http://fooplot.com/plot/5afahic6zv for zoom-in-able visualisation there are some interference pattern effects to be wary of with the...- mapmatt
- Post #9
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
I meant to put a question mark on the end of the title of this thread too, but was rather tired when I did it.- mapmatt
- Post #8
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
I probably should have considered this for longer before posting this somewhere such as here. I did write an explanation of why I thought this may be a more general case for Euler's identity, but my maths has not been tested for some time and I cannot coherently communicate my arguments which...- mapmatt
- Post #7
- Forum: Linear and Abstract Algebra
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Undergrad A possible more general form of Euler's identity
You are right, taken down now and should not have put there in the 1st place!- mapmatt
- Post #6
- Forum: Linear and Abstract Algebra