Create square marix of values for a 2 variable function.

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Fernando
Fernando 2023-7-3
评论： Torsten 2023-7-3
Hello,
I have a two variable function for a given domain i.e. f(x,y) for 0<x<100, 0<y<100 and x and y are discretized I want to form a square matrix where in the columns x remains constant and y varies or vices-versa. I have used the function command to create my function but I am struggling in the next part.
x= 0:0.01:100; y= 0:0.01:100;
function f = f(x,y)
f = cos(x)+sin(y);
end

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采纳的回答

Matt J
Matt J 2023-7-3
Ran in:
x= 0:0.01:100; y=(0:0.01:100)';
f=cos(x)+sin(y)
f = 10001×10001
1.0000 1.0000 0.9998 0.9996 0.9992 0.9988 0.9982 0.9976 0.9968 0.9960 0.9950 0.9940 0.9928 0.9916 0.9902 0.9888 0.9872 0.9856 0.9838 0.9820 0.9801 0.9780 0.9759 0.9737 0.9713 0.9689 0.9664 0.9638 0.9611 0.9582 1.0100 1.0099 1.0098 1.0095 1.0092 1.0088 1.0082 1.0076 1.0068 1.0060 1.0050 1.0040 1.0028 1.0016 1.0002 0.9988 0.9972 0.9956 0.9938 0.9920 0.9901 0.9880 0.9859 0.9837 0.9813 0.9789 0.9764 0.9738 0.9711 0.9682 1.0200 1.0199 1.0198 1.0195 1.0192 1.0187 1.0182 1.0175 1.0168 1.0160 1.0150 1.0140 1.0128 1.0116 1.0102 1.0088 1.0072 1.0056 1.0038 1.0020 1.0001 0.9980 0.9959 0.9937 0.9913 0.9889 0.9864 0.9838 0.9811 0.9782 1.0300 1.0299 1.0298 1.0295 1.0292 1.0287 1.0282 1.0275 1.0268 1.0259 1.0250 1.0240 1.0228 1.0216 1.0202 1.0188 1.0172 1.0156 1.0138 1.0120 1.0101 1.0080 1.0059 1.0037 1.0013 0.9989 0.9964 0.9938 0.9911 0.9882 1.0400 1.0399 1.0398 1.0395 1.0392 1.0387 1.0382 1.0375 1.0368 1.0359 1.0350 1.0339 1.0328 1.0316 1.0302 1.0288 1.0272 1.0256 1.0238 1.0220 1.0201 1.0180 1.0159 1.0137 1.0113 1.0089 1.0064 1.0038 1.0010 0.9982 1.0500 1.0499 1.0498 1.0495 1.0492 1.0487 1.0482 1.0475 1.0468 1.0459 1.0450 1.0439 1.0428 1.0415 1.0402 1.0388 1.0372 1.0356 1.0338 1.0320 1.0300 1.0280 1.0259 1.0236 1.0213 1.0189 1.0164 1.0138 1.0110 1.0082 1.0600 1.0599 1.0598 1.0595 1.0592 1.0587 1.0582 1.0575 1.0568 1.0559 1.0550 1.0539 1.0528 1.0515 1.0502 1.0487 1.0472 1.0455 1.0438 1.0420 1.0400 1.0380 1.0359 1.0336 1.0313 1.0289 1.0264 1.0237 1.0210 1.0182 1.0699 1.0699 1.0697 1.0695 1.0691 1.0687 1.0681 1.0675 1.0667 1.0659 1.0649 1.0639 1.0628 1.0615 1.0602 1.0587 1.0572 1.0555 1.0538 1.0519 1.0500 1.0480 1.0458 1.0436 1.0413 1.0389 1.0363 1.0337 1.0310 1.0282 1.0799 1.0799 1.0797 1.0795 1.0791 1.0787 1.0781 1.0775 1.0767 1.0759 1.0749 1.0739 1.0727 1.0715 1.0701 1.0687 1.0671 1.0655 1.0638 1.0619 1.0600 1.0579 1.0558 1.0536 1.0513 1.0488 1.0463 1.0437 1.0410 1.0382 1.0899 1.0898 1.0897 1.0894 1.0891 1.0886 1.0881 1.0874 1.0867 1.0858 1.0849 1.0838 1.0827 1.0814 1.0801 1.0786 1.0771 1.0755 1.0737 1.0719 1.0699 1.0679 1.0658 1.0635 1.0612 1.0588 1.0563 1.0536 1.0509 1.0481
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Matt J
Matt J 2023-7-3
There is no tilde in the code I posted for you, I don't think...
Torsten
Torsten 2023-7-3
Ran in:
Apostrophe means "transposed". So you "add" an (1xn) and an (nx1) vector in the above code. In MATLAB, by implicit expansion, this gives an (nxn) matrix.
Example:
x = [1 2];
y = [7;4];
x + y
ans = 2×2
8 9 5 6
[1+7 2+7;
1+4 2+4]
ans = 2×2
8 9 5 6

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