Plotting a multiobjective function from plots
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Hi All
If I have the plots of a Function "f" with respect to each single x1,x2,x3,..xn , but I know that the function "f" is actually a function of all of these parameters : f= f(x1,x2,x3,..,xn) , How can I get this function 's plot, using all the other plots ?
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Walter Roberson
2015-12-1
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You cannot generally do this.
Look at this image:
When you say that you have plots with respect to each single x1, x2, ... you are saying that you have a plot along a single line for each dimension. If we let those dimensions be aligned with the projective axes of the lights in this image, we can see that the information along one line is not sufficient to build the entire image. In calculus terms, you need the gradient function, the partial derivatives, not just df/dx1, df/dx2 etc.
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