Hi Marshall, Thank you for replaying. I do realize that this could probably be done by hand. It is the easiest funcation that I have. But I wanted to start with this one to get my feet wet. I have much bigger ones like the Ackley function.
I am trying to get my head around what sage is producing. There are an infinate number of optima for f=(sin(5*pi*x))^6. Sage is producing only two values. I would think that part of solving this using sage is to limit x to values between 0 and 1. I believe that for f=(sin(5*pi*x))^6 there are 5 or 6 maximums and 5 or 6 miniums for x values between 0 and 1. So, what is [x == 0, x == (1/10)]? Thanks Mike On Mar 8, 7:50 am, Marshall Hampton <[email protected]> wrote: > That particular example is almost easier to do by hand, but one way in > Sage is: > > f=(sin(5*pi*x))^6 > solve(diff(f,x)==0,x) > > which gives > > [x == 0, x == (1/10)] > > Of course there are a lot more solutions than those in this case; > those might have been chosen by taking one branch of the inverse > sine. > > -M.Hampton > > On Mar 7, 2:47 pm, Mike Brown <[email protected]> wrote: > > > > > Hello, > > > I want to say that I just learned about Sage. I tried installing it, > > but I didn’t have enough memory and then I saw that I could run it > > online. Impressive! What it can do is amazing. > > > I have been playing around with sage and reading the documentation. I > > am trying to find the local maximums for some continuous functions for > > define domain ranges. I tried taking the derivative and finding out > > where it is 0. That would tell me the local min and maxs. Then I was > > going to figure out which ones are the local maxs. > > > Here is one of the equations: f(x) = (sin (5*PI*x))^6, where 0 <= x > > <=1. I am trying to find out what are the local maximums of that > > equation. Can someone point me in the right direction? Can sage do > > that directly? Is there a way to set the domain (ie 0 <= x <=1)? Any > > help is greatly appreciated. > > > Thanks > > Mike Brown- Hide quoted text - > > - Show quoted text - -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
