Following up on my earlier post, here are a couple of examples of how I use
Mathematica and would like to know the right way to do it in SAGE (I
actually know how to do the first one in SAGE, but probably not in the best
way):
1) Finding the intersection of a generic tangent line to f(x) with f(x):
f[x_]:= x^2(x^2-1)
L[a_,x_]:=f[a]+f'[a](x-a)
Solve[L[a,x]==f[x],x]
2) Testing if |f(z)| < f(|z|) for various choices of f:
Pl[f_,r_]:=Plot[Abs[f[r Exp[I t]]]/f[r],{t,0,2Pi}]
Thanks for any suggestions.
On Friday, January 20, 2017 at 4:45:43 AM UTC-6, [email protected] wrote:
>
> Thank you. I will be sure to post my questions here...
>
>
> On Wednesday, January 18, 2017 at 9:01:10 PM UTC-6, William Stein wrote:
>>
>> There is no such list. Make a list of questions and we would love to
>> answer all of them!
>>
>> E.g., the first answer is:
>>
>> %time computation
>>
>> to time it once, and
>>
>> %timeit computation
>>
>> to run many timings and provide an average.
>>
>> You can also do
>>
>> ---
>> %time
>> a bunch
>> of code in a cell
>> ---
>>
>> and
>>
>>
>> ---
>> %timeit
>> a bunch
>> of code in a cell
>> ---
>>
>> in a Sage worksheet.
>>
>>
>> https://cloud.sagemath.com/projects/4a5f0542-5873-4eed-a85c-a18c706e8bcd/files/support/2017-01-18-185633-timing.sagews
>>
>> ---
>>
>> Regarding 2d and 3d graphics, things are much like mathematica, except
>> use lowercase and underscores and parenthesis, so
>>
>> ContourPlot[y^2 + 1 - x^3 - x, {y, -pi, pi}, {x, -pi, pi}]
>>
>> becomes
>>
>> %var x, y
>> contour_plot(y^2 + 1 - x^3 - x, (y,-pi,pi), (x,-pi,pi))
>>
>> Note that you have explicitly declare x and y to be symbolic variables.
>>
>> Type contour_plot? to learn a lot about contour_plot, and see tons of
>> examples. Also, a good way to find sage docs is to google for "sage" and
>> "something else"...
>>
>> -- William
>>
>> On Wed, Jan 18, 2017 at 2:17 PM <[email protected]> wrote:
>>
>>> I apologize if this has been discussed already. I tried to search the
>>> group but with no results.
>>>
>>> I am new to SAGE but I have used Mathematica for a long time. I wonder
>>> if there is a sort of "dictionary" Mathematica->SAGE that will allow me to
>>> quickly find how to do with SAGE what I already know how to do with
>>> Mathematica.
>>>
>>> For example, right now I would like to know how long a computation
>>> takes. In Mathematica, this is done with the command Timing[computation].
>>> How can it be done in SAGE?
>>>
>>> Of course there are plenty of other Mathematica commands that I would
>>> like to "translate" to SAGE, and while the already available help pages and
>>> tutorials help, it always takes me some time to find out how to do what I
>>> already know how to do instantly in Mathematica.
>>>
>>> Thank you for any help or suggestions.
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>
>>> --
>>>
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>>>
>>>
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