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Plotting functions and coordinates, Mathematica 
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#1
Feb1913, 05:05 PM

P: 10

Hi all.
Is there a way to plot both functions and coordinates/points on the same graph in Mathematica? The various functions for plotting each seem very incompatible. I would like to compare a probability function to MonteCarlomethod simulation results. Also, out of curiosity, do different programming languages have "better" pseudorandom number generation techniques or does it not really make a difference? Thank you. 


#2
Feb1913, 11:42 PM

P: 1,037

data = Table[{x, x^2}, {x, 0, 2}];
Show[ Plot[x^2, {x, 0, 2}], ListPlot[data], Graphics[Text["(1,1)", {1, 1}, {1, 0}]] ] will show a graph, points and a coordinate. If you need to you can change point size, color, background, dashing and a thousand other visual effects. There are expensive hardware random number generators you can buy. I've wanted someone to think of a cheap hardware hack that would generate a few random bits a second from the radioactive decay of a smoke detector, but I haven't found anyone interested in doing that. 


#3
Feb2013, 06:55 PM

P: 10

Thanks Bill! It works nicely.
I'm selftaught so I ignored Show[]'s existence. Now I know. That's an interesting hack, although I guess for most purposes computergenerated numbers work fine ... and are simpler to obtain. Thanks again 


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