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Questions about the use of built-in Mathematica functions, including pure functions.

15
votes
4answers
I wanted to plot this function $$f(x) =\begin{cases} 1 & \text{if } x= 0 \\ \tfrac1{q} & \text{if } x = \tfrac{p}{q}\\ 0 & \text{if } x \in \mathbb{R}-\mathbb{Q} \end{cases}$$ …
asked May 13 '12 by The-Ever-Kid
5
votes
1answer
I wanted to know how computers calculate basic functions like Sqrt so first I checked how humans do it I found that they use something called "Newton's method" that is basically a iterative method to … } 1.6237*10^-15 Seconds Meaning Mathematica uses an entirely different operation to calculate the root of a number Like this there are tons of elementary functions like Factorial Abs Solve Sin Cos …
asked May 17 '12 by The-Ever-Kid
12
votes
1answer
I realize that the Plot function can plot multiple functions of x at the same time, using { }. I also know that the RegionFunction option is used to specify the particular region of the domain that … you want plotted. My query is whether I can combine the two together and use different RegionFunctions on different functions of the same parent Plot statement, plotting multiple conditional functions
asked May 17 '12 by The-Ever-Kid