[sage-support] Re: Plotting x^x

2008-05-21 Thread William Stein
On Wed, May 21, 2008 at 11:45 AM, mark mcclure <[EMAIL PROTECTED]> wrote: > > On May 21, 1:07 pm, "William Stein" <[EMAIL PROTECTED]> wrote: > >> Since I know a bit more about how to optimize code in Sage, >> I redid your function but using more tricks. The result draws >> the above in 0.09 secon

[sage-support] Re: Plotting x^x

2008-05-21 Thread mark mcclure
On May 21, 1:07 pm, "William Stein" <[EMAIL PROTECTED]> wrote: > Since I know a bit more about how to optimize code in Sage, > I redid your function but using more tricks. The result draws > the above in 0.09 seconds (yep!). And Marshall wrote: > Arg, you beat me to it. I have a solution that

[sage-support] Re: Plotting x^x

2008-05-21 Thread Marshall Hampton
Arg, you beat me to it. I have a solution that takes about twice as long as yours; I didn't you could use _fast_float_ like that: import math mypi = float(pi) def f(x,k): if x > 0: tz = math.exp(x*(math.log(x))) return[x,tz*math.cos(2*mypi*k*x),tz*math.sin(2*mypi*k*x)] if x <

[sage-support] Re: Plotting x^x

2008-05-21 Thread mark mcclure
On May 16, 2:44 am, Dan Pillone <[EMAIL PROTECTED]> wrote: > > Is there a way to plot x^x correctly? A lovely article by Mark Meyerson entitled "The x^x Spindle" appeared in Mathematics Magazine back in June of 96. The article shows how to interpret the graph of x^x in 3-space, using the complex

[sage-support] Re: Plotting x^x

2008-05-19 Thread Robert Bradshaw
On May 19, 2008, at 7:08 PM, Dan Pillone wrote: > > Hi, > > Yes, I know that for lots of negative real numbers x^x is not defined, > but for some values of x, such as x=-1 or x=-1/3 there is a real > number answer and I don't see anything plotted. Why isn't anythng > plotted at those discrete set

[sage-support] Re: Plotting x^x

2008-05-19 Thread Dan Pillone
Hi, Yes, I know that for lots of negative real numbers x^x is not defined, but for some values of x, such as x=-1 or x=-1/3 there is a real number answer and I don't see anything plotted. Why isn't anythng plotted at those discrete set of values? Dan On May 16, 5:37 pm, Robert Bradshaw <[EMAIL

[sage-support] Re: Plotting x^x

2008-05-16 Thread Robert Bradshaw
On May 15, 2008, at 11:44 PM, Dan Pillone wrote: > Hi, > > I am running SAGE as a VM on a windows computer. > > This is somewhat related to plotting the cube root of x, but I can't > find any method to plot the graph of x^x correctly. The best plot I > get is only correct for nonnegative values