How to plot
x^2 +y^2+z^2 =1 and x^2+y^2+2z^2 =1 where -1=x,y,z=1 in 3d?
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var('x,y,z')
A = implicit_plot3d(x^2 + y^2 + z^2 == 1,
(x,-1,1),(y,-1,1),(z,-1,1),opacity=0.5)
B = implicit_plot3d(x^2 + 2*y^2 + 2*z^2 == 1,
(x,-1,1),(y,-1,1),(z,-1,1),color='red')
show(A+B)
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Hi
I've got a .sage file that I want to compile using Cython. If I just
copy it to a .spyx file and do load myfile.spyx then the sage
preparser is not called on the file. What's the simplest way of calling
the preparser before compiling?
Many thanks
Alastair Irving
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I will summarise what I have learnt from Nicolas Thiery:
If M is a monoid then the monoid algebra is constructing using
Monoid().Algebra() by, say, M.algebra(QQ).
For groups the construction GroupAlgebra is being replaced by a similar
G.algebra().
This is part of an ongoing program to replace
On Tue, 10 May 2011 06:03:14 -0700 (PDT)
Bruce brucewestb...@gmail.com wrote:
I will summarise what I have learnt from Nicolas Thiery:
If M is a monoid then the monoid algebra is constructing using
Monoid().Algebra() by, say, M.algebra(QQ).
For groups the construction GroupAlgebra is being
You can also get fancy with the region option to obtain cut away
plots of the surfaces.
implicit_plot3d(x^2 + 2*y^2 + 2*z^2 == 1,(x,-1,1),(y,-1,1),
(z,-1,1),color='red',region=lambda x,y,z: x0 or y0 )
On May 10, 10:12 am, ancienthart joalheag...@gmail.com wrote:
var('x,y,z')
A =
This is actually a huge problem for me as I need to transfer sage
notebooks between different computers. Some individual sws files I
have are upwards of 60MB each!
I have often found that the best way to deal with this is to go into
the Edit section--at the top of the worksheet--and then copy and
I am trying to read in a database containing lines of numbers (in string
format) and convert each of these numbers to Rational.
For example
'1.2 3 4 5/6 7 8.2'
becomes
[6/5, 3, 4, 5/6, 7, 41/5]
I wrote the below small utility function that takes in a string s and
converts it to rational if
I think you should definitely get rid of the try/except statements.
The conversion is either going to work, or it is not, so you really
don't need them and they're probably slowing everything down a LOT.
If the database is very large, you might want to consider converting
outside of sage, with a
On 5/10/11 9:12 AM, ObsessiveMathsFreak wrote:
This is actually a huge problem for me as I need to transfer sage
notebooks between different computers. Some individual sws files I
have are upwards of 60MB each!
I have often found that the best way to deal with this is to go into
the Edit
Hi,
I've got a ugly matrix, that elements consists of huge symbolic
expressions.
When I try to print it via view(H) I get the message WARNING: Output
truncated! full_output.txt
By clicking on full_output.txt I get some text file, looking like html
but it doesn't seem complete and the
Dear Jakob,
Thanks for your question. You may find
http://ask.sagemath.org/question/469/how-do-i-display-the-full-output-that-includes
helpful in this regard. Please let us know if that doesn't help.
- kcrisman
On May 10, 11:26 am, Jakob Lombacher lombac...@googlemail.com wrote:
Hi,
I've
I suggest to use the csv module of Python.
but bottleneck is not reading the data file but rater applying the
conversion from s - rat .Also I can't just use QQ(s) , because s can
be something like '1.2'
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I am trying to learn basic Sage functionality and need a bit of
coaching. Here is one example that I have not been able to figure
out. This is all being done within a Notebook.
x,y = var('x, y');
A = x+y == 3;
bool(A.substitute(x=1,y=2))
returns True, but
x,y = var('x, y');
A = x+y == 3;
if
Python uses indentation for blocks:
sage: x,y = var('x, y');
sage: A = x+y == 3;
sage: if A.substitute(x=1,y=2):
: print Yes
: else:
: print No
:
Yes
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Too easy! I'll start to make them harder as I learn... LOL
On May 10, 1:53 pm, Volker Braun vbraun.n...@gmail.com wrote:
Python uses indentation for blocks:
sage: x,y = var('x, y');
sage: A = x+y == 3;
sage: if A.substitute(x=1,y=2):
: print Yes
: else:
: print No
How do I detect the degree of a polynomial (say over Q) in one or
several variables?
x = var('x');
B = x^2;
B.deg()
gives an error. How about
x,y = var('x , y');
B = x^2 + y^3;
and we want degree of B with respect to x? (presuming wrt y is the
same)
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On 10 Mai, 19:23, tvn nguyenthanh...@gmail.com wrote:
I suggest to use the csv module of Python.
but bottleneck is not reading the data file but rater applying the
conversion from s - rat . Also I can't just use QQ(s) , because s can
be something like '1.2'
OK. First, I undeerstood
sage: M = matrix(50)
sage:
sage: M
50 x 50 dense matrix over Integer Ring (type 'print M.str()' to see
all of the entries)
sage: M.str()
all the entries
This answers you immediately preceding question. But I don't think
that will look nice in the html.
latex(M) gives what you are looking for,
PS
On 10 Mai, 20:06, Simon King simon.k...@uni-jena.de wrote:
sage: [QQ(sage_eval(s)) for s in list(R)[0]]
That would also work on other number representations, such as 1.3E2:
sage: QQ(sage_eval('1.3E2'))
130
Best regards,
Simon
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This is now http://trac.sagemath.org/sage_trac/ticket/11322.
On May 10, 2:08 pm, kcrisman kcris...@gmail.com wrote:
sage: M = matrix(50)
sage:
sage: M
50 x 50 dense matrix over Integer Ring (type 'print M.str()' to see
all of the entries)
sage: M.str()
all the entries
This answers you
On 05/10/2011 07:59 PM, MathLynx wrote:
How do I detect the degree of a polynomial (say over Q) in one or
several variables?
x = var('x');
B = x^2;
B.deg()
gives an error. How about
x,y = var('x , y');
B = x^2 + y^3;
and we want degree of B with respect to x? (presuming wrt y is
Is it safe to say that
R = PolynomialRing(QQ, 'X,Y')
defines a ring over Q in two variables, in which
x,y = R.gens()
sets x y to be the generators? If this is so, then what exactly is
the role of 'X,Y' ? Just to list the number of generators or what?
Could we just as well have said
R =
On 05/10/2011 08:40 PM, MathLynx wrote:
Is it safe to say that
R = PolynomialRing(QQ, 'X,Y')
defines a ring over Q in two variables, in which
Yes. To be precise: R is the polynomial ring on X and Y over Q.
x,y = R.gens()
sets x y to be the generators?
Yes
If this is so, then
On Tue, May 10, 2011 at 11:40 AM, MathLynx mathl...@gmail.com wrote:
Is it safe to say that
R = PolynomialRing(QQ, 'X,Y')
defines a ring over Q in two variables, in which
x,y = R.gens()
sets x y to be the generators? If this is so, then what exactly is
the role of 'X,Y' ? Just to
On Tuesday, May 10, 2011 8:26:42 AM UTC-7, Jakob Lombacher wrote:
Hi,
I've got a ugly matrix, that elements consists of huge symbolic
expressions.
When I try to print it via view(H) I get the message WARNING: Output
truncated! full_output.txt
By clicking on full_output.txt I get
For another point of view,
sage: var('y')
y
sage: f = x^2+y^3
sage: f.degree(x)
2
sage: f.degree(y)
3
which doesn't answer your question, but does raise another one:
With respect to this, would it be worth implementing a deg() for SR
which tries to get the degree over the polynomial ring of the
sorry my question wasn't so clear -- but yes the main bottleneck is
applying the conversion function from string to rational . Thanks for the
sage_eval function
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Hi!
On 10 Mai, 19:59, MathLynx mathl...@gmail.com wrote:
How do I detect the degree of a polynomial (say over Q) in one or
several variables?
x = var('x');
B = x^2;
B.deg()
It is already implicit in the preceding replies to your question, but
in fact B is *not* a polynomial, and it is
On 10 Mai, 19:57, MathLynx mathl...@gmail.com wrote:
Too easy! I'll start to make them harder as I learn... LOL
Since the user language of Sage is Python (at least in a good
approximation) and since Python is a nice language anyway, it might be
a good idea to read Dive into Python or another
If I want to find the roots of x^2-2 in reals, I use the following approach.
R.x=RR[]
f=x^2-2
f.roots()
But, it gives the rational approximation. Is it possible to find the
exact root (irrational form)?
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On Tue, May 10, 2011 at 10:02 PM, Santanu Sarkar
sarkar.santanu@gmail.com wrote:
If I want to find the roots of x^2-2 in reals, I use the following approach.
R.x=RR[]
f=x^2-2
f.roots()
But, it gives the rational approximation. Is it possible to find the
exact root (irrational form)?
On Tue, May 10, 2011 at 12:53 PM, tvn nguyenthanh...@gmail.com wrote:
sorry my question wasn't so clear -- but yes the main bottleneck is
applying the conversion function from string to rational . Thanks for the
sage_eval function
If the sage_eval function is faster, then string - Rational
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