ons with them
>
> sage: x0 ** x1
> Traceback (most recent call last):
> ...
> TypeError: non-integral exponents not supported
>
> Is that enough for your purpose?
>
> Vincent
>
> On 13/09/15 19:04, eggartmumie wrote:
> > Hi,
> >
> > in the
Hi,
in the context of HFE pf post quantum cryprography
I had to realize that symbolic variables are real or complex only.
SAGE ignores a 'domain=F' in var('x',domain=F) for some finite field F!
Is it possible to define symbolic variables as elements of a finite field?
I need such variables in ord
Hi,
I wanted to find the probability to a given entropy, say 0.9
H = lambda p:((p - 1)*log(-p + 1)/log(2) - p*log(p)/log(2)).n() - 0.9;
print 'root at', find_root(f,0.5,0.9); # returns correct root
0.683980653676
print 'root at', find_root(f,0.5,1.0); # returns 0.0 and no warning
or
Hi,
I am irritated because I wanted to apply sum to a vector
which did not work as expected,
therefore I asked for help by sum? and got something about Integer
which is not related to the code as exhibited by sum??
Any explanation wellcome, best EM
--
You received this message because you are s
Hi,
as a newbie I want to check some relations between Bessel functions
and Zernike polynomials.
To get some ideas first I tried to plot Bessel functions of different
type as indicated in the Bessel?.
To be able to distinguish the different types one wants to use color,
but something like
g = Bes
Hi,
as a newbie I am rather irritated about coercion working in 4.5.2 and
not working in 4.6.
In 4.5.2 the following works nicely and up to expectation
F.=GF(2^4);
for i in range(15):
a = x^i; print a,'with integer representation', int(a);
in 4.6 (on www.sagenb.org) or 4.6.2 I get
1 with in
Hi,
I try to graph functions of one complex variable, so e.g.
def f(z):
return z^2/(1+z^2);
vars('x y'); plot3d(lambda x,y: abs(f(x+i*y)),(x,-2,2),(y,-2,2));
works as expected. But now I want to color each pixel by the phase
arctan2(f(z).real(),f(z).imag()) of the function value.
Is there a s
Hi, (sorry I was interrupted)
I am a SAGE newbie working in polynomial quotient rings:
I want to implement the Patterson algorithm to decode Goppa Codes.
Therefore, I need to split a polynomial p in a quotient ring in its
even part p0 and its odd part p1
such that p(z) = p0^2(z)+z*p1^2(z) = (p0(z))
Hi,
I am a newbie working in polynomial quotient rings:
I want to implement the Patterson algorithm to decode Goppa Codes.
Therefore, I need to split a polynomial p in a quotient ring in its
even part p0 and its odd part p1
such that p(z) = p0^2(z)+z*p1^2(z). I run into several problems to do
so in
Dear Simon, let me thank You for Your time and patience
On 29 Jul., 14:20, Simon King wrote:
> Hi Thomas! (sorry, previously I made a wrong guess on your name)
>
> On Jul 29, 10:02 am, eggartmumie wrote:
>
> > ...
> > Later I need the coefficients of the Go
On 29 Jul., 01:20, Nils Bruin wrote:
> On Jul 28, 1:58 pm, Simon King wrote:> Anyway.
> While differential rings are certainly nice algebraic
> > structures, I feel uncomfortable to think of a derivation as some
> > calculus stuff.
>
> The theory of Kaehler differentials does a pretty good job p
Dear Simon,
On Jul 20, 11:53 pm, Simon King wrote:
> Hi!
>
> On 20 Jul., 22:58, eggartmumie wrote:
>
> > def goppapolynomial(F,z): # return a Goppa polynomial in z over ring
> > or field F
> > X = str(z); R. = PolynomialRing(F);
> > return R(X^(N-K
Hi,
to no avail I experimented e.g. with
def goppapolynomial(F,z): # return a Goppa polynomial in z over ring
or field F
X = str(z); R. = PolynomialRing(F);
return R(X^(N-K));
and some routine which given some 'goppapolynomial' as input
constructs the coefficients w.r.t. the canonical m
Hi,
On 14 Mrz., 17:22, vdelecroix <20100.delecr...@gmail.com> wrote:
> Hello,
>
> > I would like to know whether I could write a user defined module,
> > store it on e.g. our (!) SAGE server sage.informatik.hs-bremen.de
> > and access functions of such a module by importing the module into
> > ano
On 14 Mrz., 13:28, David Joyner wrote:
> On Sun, Mar 14, 2010 at 8:08 AM, Eggart Mumie
>
> wrote:
> > I am a newbie both to SAGE as well as to Python.
> > I am very enthusiastic about SAGE
> > which I am about to get to know using its web interface only.
>
> > I would like to know whether I cou
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