Graphs

ben1996123

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Saw this, and decided to find some others. using MathGV (Direct download)

graph1d.jpg


Green one is R = sin(theta^x)+pi
Brownish one is R = sin(cos(tan(sec(csc(cot(theta))))))
 
i find the green fascinating. since the wavelength is approaching 0, you would figure the graph would show a solid bar after a while, however it looks like there is discontinuities.
 
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i find the green fascinating. since the frequency is approaching 0, you would figure the graph would show a solid bar after a while, however it looks like there is discontinuities.
From experience I would say that is almost certainly an issue with the graphing program and/or graphics card, rather than a characteristic of the function itself.
 
Grow up.

EDIT; Also x^2 + ((5y/4) - sqrt(|x|))^2 = 1

What program are you using? Both that I have come up with like 5 errors...

What I find more fun is sketching a shape of a graph on paper/mspaint and trying to find an equation that fits it.
E.g.:
2q1iiok.png

Thought about that before, but no idea how you would do it...
 
The green one is obviously a slinky being played with by a careless child. The brown one is a CD.
 
Thought about that before, but no idea how you would do it...

Well the symmetry about x axis makes me think it will be y^2 = f(x)
f(0) = 0
f(1) = 1
f(x tends to -inf) = inf
f(>1) = negative (because it doesn't exist on the graph, so it must be imaginary/complex because of the y^2)
After a lot of guessing you might assume f(x) contains 2 parts
f(x) = p(x) + q(x)
At 0 and 1, p(x) = -q(x)
at x>1, p(x) + q(x) < 0
as x tends to -inf, p(x) + q(x) tend to inf
After more guessing, you find
y^2 = x^2 - x^3
 
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