[sage-support] Random sum of functions
Hi everyone,
say I have a function of both an integer n and a complex z
def f(n,z):
return z**n
For any tuple of integer (a_1,a_2, ..., a_k), (actually, k and a_i are
random), I want to form the function
z - sum_{i=1}^k |f(a_i, z)|^2
The result must still be a function. I guess it is something which can be
done by redefining a new class but I'm a totally newbie at object
programming.
Can you help me ?
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[sage-support] Longest Common Subsequence
Helloo everybody !!! Is there a way to compute the longest common subsequence of two (binary) words in Sage ? I can't find how, but it looks like something Sage should be able to do :-) Thaanks ! Nathann -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sage-support] Random sum of functions
I don't think you need to make an explicit class here. You can build a
function from within another function, and return that:
sage: def f(n, z):
: return z**n
:
sage: def maker(tup):
: def g(z):
: return sum(abs(f(a_i,z))**2 for a_i in tup)
: return g
:
After which
sage: f(1, 3+2*I)
2*I + 3
sage: maker((1,5,3))
function __main__.g
sage: g = maker((1,5,3))
sage: g(5)
9781275
sage: abs(f(1,5))**2 + abs(f(5,5))**2 + abs(f(3,5))**2
9781275
I used Python functions here because that's what you started with. A
similar approach would have worked if you were making a Sage function
instead, namely write a function which accepts a tuple and returns a new
function.
Doug
On Wed, Jul 17, 2013 at 5:07 AM, Laurent Decreusefond
laurent.decreusef...@gmail.com wrote:
Hi everyone,
say I have a function of both an integer n and a complex z
def f(n,z):
return z**n
For any tuple of integer (a_1,a_2, ..., a_k), (actually, k and a_i are
random), I want to form the function
z - sum_{i=1}^k |f(a_i, z)|^2
The result must still be a function. I guess it is something which can be
done by redefining a new class but I'm a totally newbie at object
programming.
Can you help me ?
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Re: [sage-support] Re: Trouble with easy_install
Thank's, indeed I went thought the all thing and now it works! 2013/7/17 P Purkayastha ppu...@gmail.com On 07/16/2013 05:35 PM, Viviane Pons wrote: Hi everyone, I have installed sage-5.11-beta3 and for some reason, I cannot use use easy_install anymore on the sage shell. It seems to be a problem with https. When I do sage -sh and then easy_install -U mysql-python (for example), I get this: Reading http://pypi.python.org/simple/**mysql-python/http://pypi.python.org/simple/mysql-python/ Download error: unknown url type: https -- Some packages may not be found! I don't remember if I had this error before. But I'm sure I was able to install this package with easy_install on previous sage versions. Did anyone have some similar issues? Thank's a lot Viviane Make sure you have support for SSL installed. The details are present in the SSL section of the README.txt file in the Sage directory. -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscribe@**googlegroups.comsage-support%2bunsubscr...@googlegroups.com . To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/**group/sage-supporthttp://groups.google.com/group/sage-support . For more options, visit https://groups.google.com/**groups/opt_outhttps://groups.google.com/groups/opt_out . -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sage-support] Random sum of functions
On 2013-7-17 02:07, Laurent Decreusefond wrote:
For any tuple of integer (a_1,a_2, ..., a_k), [...]
I want to form the function
z - sum_{i=1}^k |f(a_i, z)|^2
Won't this work?
def ff(atuple,z):
return sum([ abs(f(n,z))**2 for n in atuple ])
--
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Re: [sage-support] Digest for sage-support@googlegroups.com - 5 Messages in 3 Topics
Hi Nathann
Here is a Wikipedia article with what looks very much like the python code
for a solution.
http://en.wikipedia.org/wiki/Longest_common_subsequence_problem
Carl
On Wed, Jul 17, 2013 at 12:11 PM, sage-support@googlegroups.com wrote:
Today's Topic Summary
Group: http://groups.google.com/group/sage-support/topics
- Trouble with easy_install #13fed9de1076cc45_group_thread_0 [2
Updates]
- Random sum of functions #13fed9de1076cc45_group_thread_1 [2
Updates]
- Longest Common Subsequence #13fed9de1076cc45_group_thread_2 [1
Update]
Trouble with
easy_installhttp://groups.google.com/group/sage-support/t/a269e0b629942f70
P Purkayastha ppu...@gmail.com Jul 17 01:22PM +0800
On 07/16/2013 05:35 PM, Viviane Pons wrote:
anyone have some similar issues?
Thank's a lot
Viviane
Make sure you have support for SSL installed. The details are present
in
the SSL section of the README.txt file in the Sage directory.
Viviane Pons vivianep...@gmail.com Jul 17 03:13PM +0200
Thank's, indeed I went thought the all thing and now it works!
2013/7/17 P Purkayastha ppu...@gmail.com
Random sum of
functionshttp://groups.google.com/group/sage-support/t/15e2f9ba3e321f12
Laurent Decreusefond laurent.decreusef...@gmail.com Jul 17 02:07AM
-0700
Hi everyone,
say I have a function of both an integer n and a complex z
def f(n,z):
return z**n
For any tuple of integer (a_1,a_2, ..., a_k), (actually, k and a_i are
random), I want to form the function
z - sum_{i=1}^k |f(a_i, z)|^2
The result must still be a function. I guess it is something which can
be
done by redefining a new class but I'm a totally newbie at object
programming.
Can you help me ?
D. S. McNeil dsm...@gmail.com Jul 17 08:19AM -0400
I don't think you need to make an explicit class here. You can build a
function from within another function, and return that:
sage: def f(n, z):
: return z**n
:
sage: def maker(tup):
: def g(z):
: return sum(abs(f(a_i,z))**2 for a_i in tup)
: return g
:
After which
sage: f(1, 3+2*I)
2*I + 3
sage: maker((1,5,3))
function __main__.g
sage: g = maker((1,5,3))
sage: g(5)
9781275
sage: abs(f(1,5))**2 + abs(f(5,5))**2 + abs(f(3,5))**2
9781275
I used Python functions here because that's what you started with. A
similar approach would have worked if you were making a Sage function
instead, namely write a function which accepts a tuple and returns a
new
function.
Doug
On Wed, Jul 17, 2013 at 5:07 AM, Laurent Decreusefond
Longest Common
Subsequencehttp://groups.google.com/group/sage-support/t/89f9b8e98fbbfab7
Nathann Cohen nathann.co...@gmail.com Jul 17 12:29PM +0200
Helloo everybody !!!
Is there a way to compute the longest common subsequence of two
(binary) words in Sage ? I can't find how, but it looks like something
Sage should be able to do :-)
Thaanks !
Nathann
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[sage-support] Error summing inverses of binomial coefficients
I am looking to evaluate $\sum_{k=0}^n 1/\binom{n}{k}$ so I type:
sage: n = var('n')
sage: k = var('k')
sage: sum(1/binomial(n,k),k,0,n)
(n + 1)*2^(-n)
and that answer is wrong.
For example, with n=10 we get
sage: sum(1/binomial(10,k) for k in range(11))
1433/630
but the alleged answer of (n+1)*2^(-n) is 11/1024.
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