Update: I think the G. Carlsson paper, Topology and Data, is quite a
find. Thanks for suggesting the link, Justin.
Alec
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Thanks. It looks promising. My earlier search didn't yield anything.
Alec
On Thu, Aug 5, 2010 at 2:13 PM, Justin C. Walker wrote:
>
> On Jul 29, 2010, at 06:12 , Alec Battles wrote:
>
>> Not specifically, no, but orms.mfo.de (an excellent list with frequent
>> updat
Not specifically, no, but orms.mfo.de (an excellent list with frequent
updates) lists 9 projects under topology. I will do some digging
later, but feel free to help me search.
Alec
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't see why it shouldn't be possible to do
point-set topology with a computer.
Is there something I'm missing?
Alec
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For
That's great info. Thanks.
A
On Wed, Jul 28, 2010 at 5:58 PM, kcrisman wrote:
>
>
> On Jul 28, 11:51 am, Alec Battles wrote:
>> Sorry if there's some good reason why this would be redundant, but I
>> have an idea. It's a bit scary that you can't simply
pykig.py), and draws geometry very well
using scripted commands. It would give the program another
input-output option, as well as bolstering sage's capabilities. I'd
certainly make great use of it.
Does that make sense?
Anyway, KIG may be more what you're looking for, Santanu.
Al
I've tried to find info about this. Can't find anything... Any suggestions/help?
Alec
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Simon
Thanks for sending so much great info.
Alec
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I've tried to find info on this. Sorry if it's already been written down.
Alec
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Must be better than nothing. I'll try it. Thank you.
Alec
On Thu, Jul 15, 2010 at 12:19 AM, kcrisman wrote:
> Dear Alec,
>
> The following will (partly) answer your question if you use 'axes'
> instead of 'frame'. I'm not sure (vis-a-vis that thr
Sounds like an interesting project. Is it for school or for fun?
I'm using Sage to make art and sorta failing. If I knew more
programming I'd give it a lot more time, but sadly my only talents are
in the GIMP/Inkscape department.
Alec
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I am using SAGE, not so much as a mathematical tool, but to make art.
With that in mind, I want to disable axes pretty much permanently.
I am currently plotting complex functions such as
sage: f(z) = z^5 + z - 1 + 1/z
sage: complex_plot(f, (-3, 3), (-3, 3))
Thanks,
Alec
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On Apr 16, 9:48 pm, David Joyner wrote:
> Sorry Alec, maybe there is a language problem here.
Sorry, David, but there may be also a cultural problem as well. You,
obviously, think that, being a moderator of sage-edu, you could reject
your colleagues posts there, as you rejected my post th
On Apr 16, 8:55 pm, Alec Mihailovs wrote:
> Maybe, I still don't understand it right, but it seems as if you are
> saying, that the problem is to do a similar thing in cases when the
> solution is not unique, producing the list of all the solutions. That
> can be done similarl
en multiplying
each of them by G, as in 'correct',
If I again understood it wrong, could you, please, give a simple
example (with smaller sizes), with the correct answer?
Alec
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On Apr 16, 5:28 pm, Alec Mihailovs wrote:
> I looked at the C.decode (for C in the original post), and it does
> something different - it corrects the errors. Perhaps, the better name
> for it would be C.correct ?
If that is needed, that could be done as
def correct(w,erasures=[],num
On Apr 16, 5:28 pm, Alec Mihailovs wrote:
>
> Also, perhaps, just simple linsolve can be used (in my decode) if it
> exists in Sage and works for overdetermined systems of linear
> equations.
Yes, I found it - it is called solve_left, and it can be used as
follows,
def decode
exists in Sage and works for overdetermined systems of linear
equations.
Alec
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x form
A*x=b
in which case the solution can be obtained as
x=A.inverse()*b
That should work better than solve.
Alec
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On Apr 16, 4:16 pm, Alec Mihailovs wrote:
> For example,
>
> m=V.random_element(); m
>
> (2, 1, 0, 0, 1, 2, 0, 1, 0, 0)
It should be
V=VectorSpace(GF(3),10)
before that.
Alec
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(2, 1, 0, 0, 1, 2, 0, 1, 0, 0)
decode(w,range(15))
Too many erasures
Alec Mihailovs
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On Apr 16, 1:50 pm, Alec Mihailovs wrote:
>
> Or even more simple -if A is the matrix consisting of all non-erased
> columns, use A.transpose()*(A*A.transpose()).inverse() for decoding,
> applying it to the non-erased part.
And if A*A.transpose() is singular, the same thing, probab
On Apr 16, 1:39 pm, Alec Mihailovs wrote:
> simple - find 10 other columns with non-zero determinant of the matrix
> constructed from them, and use the inverse of this matrix for
> decoding.
Or even more simple -if A is the matrix consisting of all non-erased
columns, use A.trans
e, the decoding seems to be rather
simple - find 10 other columns with non-zero determinant of the matrix
constructed from them, and use the inverse of this matrix for
decoding.
Alec
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rrectly. Consider, for example, the
last row with 5 zeros replaced with ones - if 5 erasures were allowed,
then erasing them, we would get the last row, but erasing 4 remaining
zeros in it instead, we would get the first row - so it couldn't be
uniquely decoded.
Alec
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For example, let the plane's equation is 2*x+3*y+4*z=5, and the line
is given as =. Then the point of their
intersection can be found in Sage as follows,
var('t');
x,y,z=t-1,2*t-3,2-t
plane=2*x+3*y+4*z-5
a=solve(plane,t)[0]
[i.subs(a) for i in x,y,z]
[1, 1, 0]
Al
ut those words?
The file devel/sage/sage/combinat/yamanouchi.py contains only that
documentation string - nothing else. No classes or functions.
Alec
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n by
(x-b), then by (x-c). Now, the last step takes a long time, but it is
not actually necessary - the polynomial is x^2 + (c + b + a)*x + c^2 +
(b + a)*c + b^2 + a*b + a^2, so dividing it by (x-d), we get (x+a+b+c
+d).
Alec
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ticular, in your example with h2,
sage: function('f')
sage: h2 = lambda t: sin(f(t))
sage: h2(x)=h2(x)
sage: h2.diff()
x |--> cos(f(x))*D[0](f)(x)
Alec
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On Apr 12, 4:03 pm, Alec Mihailovs wrote:
> Also, the show command should be replaced with savefig - something
> like in the following example,
That could be also done without changing the examples on the brian's
webpage, by redefining show() as
def show():
from matplotlib.py
On Apr 12, 4:32 pm, William Stein wrote:
>
> You can also just do
>
> Action -> Restart Worksheet
Thank you!
Alec
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F
By the way, the easy way to install brian package in Sage from the
notebook is to execute the following cell,
%sh
easy_install brian
Then save & quit the worksheet and open it again.
Alec
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On Apr 12, 3:30 pm, Alec Mihailovs wrote:
>
> import brian_no_units
> from brian import *
Also, the show command should be replaced with savefig - something
like in the following example,
from matplotlib.pyplot import savefig
eqs = '''
dv/dt = (ge+gi-(v+49*mV))/(20*ms) :
om brian import *
Then
1*mV
0.001
Alec
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URL: http://w
35001e-13)
Check it,
integral(integral(x+2*y,y,1-x,1+x),x,1,2)
32/3
Alec Mihailovs
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For more options, visi
tation for every method is available by entering A.(name of the
method)? , for example, A.SVD? and Tab, and the source is available as
A.SVD?? and then Tab.
Alec
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information. |
> --
> sage: (1-I)/(sqrt(2)-1)
> -(I + 1)/(sqrt(2) - 1)
In Sage 4.3.4 (in Windows) that I am using,
(1-I)/(sqrt(2)-1)
(-I + 1)/(sqrt(2) - 1)
Alec
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to Vh, as it
supposed to be according to the help pages - it should be
U*Sig*V.conjugate().transpose() == A
Alec
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For more options, visi
2 does not exist
Alec
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On Apr 10, 10:37 am, Eckhard Kosin
wrote:
>
> sage: sin.diff()
> ---
> AttributeError ...
There is an interesting way to fix that,
sin(x)=sin(x)
sin.diff()
x |--> cos(x)
Alec
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27;, 'eva'])
(['eva', 'adam', 'otto', 'emil'], ['eva', 'adam', 'emil', 'otto'])
(['eva', 'otto', 'adam', 'emil'], ['eva', 'otto', 'emil', &#
lex.SimplicialHomology()
[ [ 0 ], [ 1 ] ]
gap("SimplicialHomology(SCNot2ConnectedGraphs(7),9)")
[ [ 120 ] ]
Seems to be working OK.
Alec Mihailovs
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'adam']
['eva', 'emil', 'adam', 'otto'] ['eva', 'emil', 'otto', 'adam']
['otto', 'adam', 'eva', 'emil'] ['otto', 'adam', 'emil', 'eva'
; x |--> cos(x)
>
> but
>
> sage: sin.diff()
> ---
> AttributeError ...
Because S is a symbolic function, and sin is not.
type(sin)
The word 'symbolic' is missing. That, perhaps, can be
On Apr 10, 1:32 am, Adam Getchell wrote:
> Hi all,
>
> I realize this maybe a bit of an insane question, but I'm looking for a way
> to use ecl within sage besides:
>
> ./sage -ecl
For example,
lisp("(def x 1)(defun f (x)(+ x 1))(f 2)")
3
Alec Mihailovs
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)).eigenvectors_right()
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On Apr 9, 8:59 pm, William Stein wrote:
> A 5000x5000 matrix just isn't really that big, IMHO...
Actially, thinking about that, who knows what size its elements could
be, if they are rational... They may be really big.
Alec
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irtual memory located on
disk is used - it is faster to write on disk directly.
Alec
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on the disk incrementally, appending it to
a file - that may be slower, but removes the restriction on the RAM
size (but one would need to have enough space on the hard drive
instead) - I am not volunteering though.
Alec
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To unsubscr
sqrt(R_b(t)^2-R_u^2))
2*sin(psi(t))*cos(psi(t))*D[0](R_b)(t) -
sin(psi(t))*R_b(t)*D[0](R_b)(t)/sqrt(-R_u^2 + R_b(t)^2) -
(2*sin(psi(t))^2*R_b(t) - R_b(t))*D[0](psi)(t)
Alec Mihailovs
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)%RDF(5)
Traceback (click to the left of this block for traceback)
...
TypeError: unsupported operand type(s) for %:
'sage.rings.real_double.RealDoubleElement' and
'sage.rings.real_double.RealDoubleElement'
Alec
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=20, that the 2 triangles are similar. The left triangle has
height 5, and the right one has hight 10, twice greater, so their
sides on the x-axis also have the same ratio, 1:2, i.e. the length of
the horizontal side of the left triangle is 1/3 of the distance from 0
to 20, i.e. 20/3.
Alec
s 2 and 2.%3. is
-1.00,
also 2%3. is 2 and 2.%3 is -1.00.
Alec
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Or use Python floats,
sage: float(6e-6) % float(10e-6)
6.0002e-06
In both cases the result is a Python float. To make it a Sage's real
number, one can use RR,
sage: RR(_)
6.00e-6
Alec Mihailovs
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d.p1
sage -f python-2.6.4.p7
Alec Mihailovs
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On Apr 5, 8:26 pm, Dana Ernst wrote:
> Wow, thanks for all the feedback. I learned a lot today!
>
> On Apr 5, 2010, at 5:31 PM, Alec Mihailovs wrote:
> > u=[n for n in U if gcd(n,40)==1]
By the way, one has to be careful using some of the methods of U. In
partic
On Apr 5, 5:11 pm, Alec Mihailovs wrote:
> u=filter(lambda n: gcd(n,40)==1, U)
Also, that can be done as
u=[n for n in U if gcd(n,40)==1]
Alec
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On Apr 5, 5:11 pm, Alec Mihailovs wrote:
> html.table([r]+[map(lambda j: k^j, r) for k in u], header=True)
Or even more simple,
html.table([r]+[[k^j for j in r] for k in u],header=True)
Alec
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r=True)
Alec
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A: Yes.
> Q: Are you sure?
>> A: Because it reverses the logical flow of conversation.
>>> Q: Why is top posting annoying in email?
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For mo
opening it in a secure
mode, i.e. with switch -Z if I remember correctly, which not that many
people use.)
Alec
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ives false, assuming f is not a derivative itself.
One can do the following, for example,
def is_diff(expr):
try:
return isinstance(expr.operator(),
sage.symbolic.operators.FDerivativeOperator)
except (AttributeError):
return False
Alec Mihailovs
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On Apr 3, 11:55 am, Simon King wrote:
> sage: F = [f for f in globals().values() if callable(f)]
I would write it as
filter(callable, globals().values())
Alec
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sage-supp
it works with the current notebook.
> It doesn't affect the Print link, though.
If one executes the following in a cell:
html('div.cell_input_print {display: none}')
and then clicks Print (at the lhs of the Worksheet button at the top),
all input cells will be hidden in the hew
2]]
Vector(3, symbol=b);
[b[1]]
[]
[b[2]]
[]
[b[3]]
Alec
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sage-su
t paid at
least $200/hour or more, and will try to avoid any "interesting
conversation" meaning that we have to listen to that, at any cost.
Alec Mihailovs
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sa
eshmen, and 101 is usually a general
education course taken by non-majors. Say Biology 101 means a general
education biology course for non-biologists, and Math 101 is a general
education course for non-mathematicians, as well as for people not
taking any other math courses.
Alec Mihailovs
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To p
, I guess.
It is rather small, contains Sage 4.3.1 on Puppy Linux, and is
available from
http://mira.sunsite.utk.edu/sagemath/livecd/index.html
as well on other mirrors.
Alec Mihailovs
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Also, simplification might be improved. In particular,
sage: atan(sin(1)/cos(1)).full_simplify()
arctan(sin(1)/cos(1))
while
atan(tan(1)).simplify()
1
Alec Mihailovs
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sage
q=diff(eta(x,t),x)==k(bx,bt)
f(eta(x,t),bx,bt).diff(x,2).expand().subs(eq).subs(diff(eq,x))
delta^2*D[1, 1](f)(eta(x, t), delta*x, delta^2*t) + 2*delta*k(delta*x,
delta^2*t)*D[0, 1](f)(eta(x, t), delta*x, delta^2*t) +
delta*D[0](f)(eta(x, t), delta*x, delta^2*t)*D[0](k)(delta*x,
delta^2*
On Mar 17, 8:38 pm, G B wrote:
> atan2(-pi,0) --> RuntimeError: power::eval(): division by zero
>
> Any ideas how to get around this?
A simple workaround is
sage: from sympy import atan2
sage: atan2(-pi,0)
-pi/2
Alec Mihaiovs
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le it looks correct, it is not the answer that n should give.
Alec Mihailovs
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On Mar 16, 10:47 pm, Alec Mihailovs wrote:
> By the way, vector doesn't work with integer numpy arrays,
>
> from numpy import array
> vector(array([1,2]))
>
> Traceback (most recent call last):
That shouldn't be too hard to implement - in particular, the following
wor
vector?
vector??
Alec Mihailovs
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URL: http://www.sagemath.org
e "", line 1, in
File "free_module_element.pyx", line 309, in
sage.modules.free_module_element.vector (sage/modules/
free_module_element.c:3172)
TypeError: unsupported operand type(s) for ** or pow(): 'NoneType' and
'int'
Alec Mihailovs
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On Mar 16, 3:57 pm, Mike Hansen wrote:
> On Tue, Mar 16, 2010 at 12:38 PM, Alec Mihailovs
>
> wrote:
> > Will it work as matrix(5,f) as well, or only as matrix(5,5,f) ?
>
> It now works with both.
>
> --Mike
That's great!
What about vector(3,f), f.vector(3),
Mike
Will it work as matrix(5,f) as well, or only as matrix(5,5,f) ?
Alec Mihailovs
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On Mar 15, 3:48 am, Alec Mihailovs wrote:
> That seems to be a bug introduced in Sage, not in numpy,
>
> sage: fromfunction(lambda i,j:i-j+3,(1,1),dtype=int)
>
> array([[3]])
>
> sage: matrix(_)
>
> [0 0 0]
> [0 0 0]
> [0 0 0]
Yes, and that happens with other nu
seems to be built without the png support in Sage.
Here is a simple working example of a boxplot using matplotlib:
from pylab import boxplot,savefig
b=boxplot(range(10))
savefig("sage1.png")
The original data list can be substituted in place of range(10) above.
Alec Mihailovs
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py.random.random_integers.html
)
from numpy.random import random_integers
dsums = random_integers(1, 6, 1) + random_integers(1, 6, 1)
from matplotlib import pyplot
counts = pyplot.hist(dsums, 11)[0]; counts
array([ 279, 569, 845, 1072, 1398, 1683, 1355, 1106, 842, 576,
275])
pyplot.s
On Mar 15, 3:39 am, Alec Mihailovs wrote:
> The second problem is that something strange happens for 1x1 matrices,
> with any dtype,
>
> matrix(fromfunction(lambda i,j:i-j,(1,1),dtype=int))
>
> []
>
> matrix(fromfunction(lambda i,j:i-j+3,(1,1),dtype=int))
>
> [0
On Mar 14, 6:15 pm, Alec Mihailovs wrote:
> That could be also done as
>
> from numpy import fromfunction
>
> matrix(fromfunction(lambda i,j:i-j, (6,6), dtype=int))
>
> [ 0 -1 -2 -3 -4 -5]
> [ 1 0 -1 -2 -3 -4]
> [ 2 1 0 -1 -2 -3]
> [ 3 2 1 0 -1 -2]
> [ 4 3
Integer Ring
Alec Mihailovs
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In Windows, such things, as well as any other key (and mouse) remapping can
be done using an autohotkey script, http://www.autohotkey.com/
Alec Mihailovs
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Also, show3d doesn't work with that graph,
G.show3d()
ZeroDivisionError: float division
Alec Mihailovs
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sage-support-uns
-plugin package. After that, I removed Jaunty
from the software sources.
Hopefully, soon Jaunty will be available for upgrading, and that will
be even easier to do.
Alec Mihailovs
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To
e noticed that the degrees are printed not in the order
of vertices in this graph,
G.degree()
[6, 6, 6, 3, 5]
[i for i in G.degree_iterator()]
[6, 6, 6, 3, 5]
while it should be as in
[G.degree(i) for i in G.vertices()]
[6, 6, 6, 5, 3]
I just tried to plot a multigraph with setting positions of vertices,
G=Graph({'a':['a','b','b','b','e'],'b':['c','d','e'],'c':
['c','d','d','d&
lpful,
http://www.mapleprimes.com/blog/paul/usingopenmaplec
Alec Mihailovs
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Thank you!
> http://groups.google.com/group/mpir-devel/t/df88735e6d4e678c
I should search the group before posting.
Alec
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Is it possible to run SAGE on NVIDIA Tesla (with 4 teraflops)?
http://www.nvidia.com/object/personal_supercomputing.html
http://tech.slashdot.org/article.pl?sid=08/11/23/068234&from=rss
Alec
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or example,
In[1]:= Reduce[x + y <= 3 && x >= 0 && y >= 0, {x, y}, Integers]
Out[1]= (x == 0 && y == 0) || (x == 0 && y == 1) || (x == 0 &&
y == 2) || (x == 0 && y == 3) || (x == 1 && y == 0) || (x == 1 &&
y ==
Ondrej and William,
Thank you, it's nice to know about that.
Alec
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> What is your point?
Actually, I meant that more about Maplesoft. Sage support is usually good in
this group, just wasn't very good in this thread.
Alec
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To uns
very
nicely, the problem was addressed, and a workaround was suggested).
And the winner is - Wolfram Research.
Alec
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E do that?
I meant to solve. The answer should be either a list of points, {x=0,y=0},
{x=0,y=1} etc. - or their convex hull. That gives feasible points for
integer (linear or convex) programming problems.
I posted about that on Mapleprimes (Kinde
ica/browse_thread/thread/b84ac9c2a48f1bc1?hl=en#
Alec
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be equal to the expression given by Mathematica if
n was not a positive integer.
Another form of the correct answer is
(2 x)^(n+1/2) E^x BesselK[n+1/2,x] n!/(2 n)!/Sqrt[Pi]
Alec
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Both Maple and Mathematica give wrong answers to the following sum,
Sum[Binomial[n, k]/Binomial[2 n, k]/k! (2 x)^k, {k, 0, n}]
I tried to find a way to calculate it in SAGE, but couldn't find symbolic
sums in the documentation. Is Maxima supposed to be used directly?
should be a part of the standard test, I think. Maple can't do
that. I didn't try Mathematica, but I believe that it is capable of that.
Can SAGE do that?
Alec
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