color graphic of a function in matlab

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Samuel Molinari 2021-3-7

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评论： Walter Roberson 2021-3-12

采纳的回答： Walter Roberson

hi i need to write this in matlab and make a graphic that looks like this

i need to put the function in a code and make this graphic i dont know how to do either

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Walter Roberson 2021-3-7

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编辑：Walter Roberson 2021-3-7

在 MATLAB Online 中打开

Example:

xvec = linspace(0,10*pi, 100);

yvec = linspace(0,5*pi, 50);

[Xg, Yg] = meshgrid(xvec, yvec);

Zg = sin(Xg) .* tanh(Yg);

h = pcolor(Xg, Yg, Zg); set(h, 'edgecolor', 'none')

You will need to figure out how to effectively do the infinite summation.

if a is infinity and b is pi then the denominator is n*sinh(n*a*pi/pi) which is n*sinh(n*infinity). For all positive n that is n*sinh(infinity) and positive times infinity is positive infinity. So each term of the denominator is positive infinity.

When the denominator is infinity the results of the division are 0 except possibly if the numerator is infinity. Can the numerator be infinity? If y is positive then as n approaches infinity the sinh approaches infinity. But if x is positive then x*n approaches infinity and sin(infinity) is undefined, being anywhere in the range -1 to +1. You would need careful consideration of the possibility of +/-infinity divided by infinity. I suspect that the reasoning might be that the constant infinity in the denominator "approaches" infinity faster than the numerator that is not constant infinity, so I suspect that you always get 0, but I am not certain.

So for a infinity and b positive I believe that the sum is either 0 or (because of n infinite) undefined.