I'm so grateful that this issue of cube roots (and other real nth roots)
has been solved so successfully. It's a huge help to those of us who
teach calculus, and it's a good story to showcase the cooperative
atmosphere of community developed open-source software.
I'd like to thank those responsibl
yntax. (http://www.sage-para-estudiantes.com/)
On Wednesday, June 18, 2014 at 1:37:21 AM UTC-5, Gregory Bard wrote:
>
> This has been brought up many times before, but I'd like to bring up
> the possibility of adding two commands to Sage: cuberoot(x) and
> nthroot(x, n)
>
> The
There is an integral which Sage correctly numerically integrates, and which
Sage symbolically gets very wrong. William and I looked into this during
Sage Days 68, and he discovered that, in fact, Maxima gets this integral
very wrong as well. (More correctly, the particular configuration and
ver
You might also want to consider SageMathCell, which has fewer buttons, and
can look less intimidating at times. For example,
http://sagecell.sagemath.org/?z=eJxLV7BVSMlPSU1OzEhNKcrP09Dk5eLlStcrzsgv19AEAJBZCOs=&lang=sage
A fun example, for teaching math to younger folks, is to play with
patterns
Hi everyone. I have found a bug in how Sage computes integrals, but it
seems to be the case that it can come up in a broad set of situations. This
bug caused me tremendous embarrassment while teaching Calculus II last
semester.
Consider the integral of sqrt( cot(x)^2 ). I think we can all agre
Dear friends,
I have sent my book "Sage for Undergraduates" to the American Mathematical
Society today.
Writing this has been a very long journey, and many people on this list
have helped me toward this destination.
The AMS has graciously permitted me to make available a PDF file of the
book
? I have no idea.
I have also posted this on Sage-Edu, but perhaps all future replies should
be restricted to Sage-Devel and not Sage-Edu?
---Greg
On Wednesday, June 25, 2014 1:10:06 AM UTC-4, Gregory Bard wrote:
>
> As Vincent and Niles have brought up, there might be advantages to it
>
ecr...@gmail.com> wrote:
> As Niles already said it would be better to have it as a symbolic function
>
> sage: f(x) = real_nth_root(x, 5)
> sage: f
> x |--> real_nth_root(x,5)
>
> 2014-06-22 22:36 UTC+02:00, Gregory Bard :
>> Yes, that is reasonable. Let us call it &quo
14 at 9:02 AM, William Stein wrote:
> On Sun, Jun 22, 2014 at 8:27 AM, Nicolas M. Thiery
> wrote:
>> On Fri, Jun 20, 2014 at 06:33:52PM -0700, Gregory Bard wrote:
>>> It seems that the consensus on both Sage-devel and Sage-edu is to go
>>> with some sort of nth_rea
It seems that the consensus on both Sage-devel and Sage-edu is to go
with some sort of nth_real_root function. I propose the following,
which I have tested for evaluation, plotting, differentiation, and
integration. Sadly, the derivative has a Dirac delta in it, which is
... perhaps unavoidable bec
This has been brought up many times before, but I'd like to bring up
the possibility of adding two commands to Sage: cuberoot(x) and
nthroot(x, n)
The reason is that currently plot( x^(1/3), -5, 5) only shows values for
x>0,
and not for x<0. The current work-around recommended is
plot(sign(x)*ab
On Jan 15, 2014, at 5:17 PM, rjf wrote:
> If the polynomial is multivariate, you need to specify the quotient/remainder
> "main variable".
> I don't see it in the syntax you give below.
> consider x+y divided by x-y. can give 1 with remainder 2y.
> It can also give -1 with remainder 2x.
> RJF
Hi everyone. I might be confused but I think I've found something not quite
right.
The following code:
###
a(x) = x^2 - 5*x + 6
b(x) = x^2 - 8*x + 15
f(x) = lcm( a(x), b(x) )
print f
print f.rational_simplify()
###
produces the output
This seems then to be a consensus opinion.
Who knows how to code that, where to put the code, etc...?
---Greg
On Tuesday, January 7, 2014 3:07:53 AM UTC-6, Simon King wrote:
>
> Hi,
>
> On 2014-01-07, maldun > wrote:
> > One could also go further and raise a PlusInfinitiyException or a
> > Min
Perhaps we could get the best of both worlds?
We could throw a "divergent integral/sum exception" (that can be two
exceptions or one, depending
on how you look at what an integral really is...)
This way, the calculus student would see the words "divergent integral" and
know what it means.
Howe
Yes, I will be there.
On Tuesday, April 30, 2013 1:21:16 PM UTC-5, john_perry_usm wrote:
>
> Hello
>
> Is anyone going to mathfest? (besides me ;-))
>
> regards
> john perry
>
>
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Hi there. I'd be up for this. It has been a while since I've had time to
really
work together with SAGE people. On a note that is intermediately related, I
had been thinking of a five video series, each 5-10 minutes, that would be
screen-casts of my explaining the basics of SAGE. There would be a
Thanks so much for fixing this. I'm always amazed at how rapidly
you respond. You truly have dedicated your life to making the
lives of other mathematicians better. Basically without these
resources I'd have no research to speak of, because all the
institutions I've worked at have been too parsimo
I'm working on a very fast implementation of the
Nelder-Mead algorithm for optimizing functions.
This is a particularly good algorithm if the
function is noisy, or is not smooth.
Is it in SAGE already? If not, I'd be happy to
release my code to SAGE under the whatever license
once it is debugged
If you want to carry out operations on the semiring afore mentioned,
where adding is OR (not XOR) and multiplying is AND, then you can
use floating point arithmetic.
Let Z be 0, and let P be "non-zero positive". Then ordinary
multiplication and addition have the following chart
ZZ=Z, ZP=Z, PP=P.
is NP-hard, and
if the system is over GF(2), reduction to CNF-SAT is relatively
easy (see Bard, Courtois, Jefferson, 2006, on
http://eprint.iacr.org/). You convert, call a SAT-solver (which
might well run for an unbelievably long time) and convert
back.
Is it the same as Mx=[1,1,1,1,...,1]? No
eally need a package
of its own...
like the Method of Four Russians got... so how do you handle that?
Does it get
coded into an existing package? Shall I just write up the pseudocode
for one
of your more junior project members to code up? Or is this already
built-in?
Thanks!
---Greg
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