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2017-06-22 15:57:07 +0100 | asked a question | Sagemath in virtual box and latex When running sagemath 2.7 in virtual box and export a notebook (using jupyter) to pdf I get an error message that pdflatex could not be found. By installing texlive, pdflatex was found but not all the latex packages. How can I use the latex install on my window machine when export the notebook (in jupyter) to pdf? |

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2016-11-21 20:53:53 +0100 | commented answer | Relative finite field extension and element computations Almost, |

2016-11-21 20:49:11 +0100 | commented question | Relative finite field extension and element computations @ slelievre, Yes |

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2016-11-18 10:19:10 +0100 | asked a question | Relative finite field extension and element computations Hallo I want to perform finite field multiplication in by using operation in one of its sub fields. Now I am stuck: - How do I map element from
`ff` to a vector over`f4` - After performing the computation in
`f4` map the element back in`f` ?
The ideal will be that the mapping to |

2016-10-16 21:48:27 +0100 | asked a question | Execute sage remotely I run pycharm on a windows machine and sage in a linux server. How can I use a python interpreter or pycharm on windows do execute my scripts in sage? It would also be use full if pycharm does not indicate sage packages/classes/fusctions as syntax errors. |

2016-05-18 15:08:39 +0100 | commented answer | Solve a system of nonlinear equations I have a similar problem where my version of bb is not so simple and (sms == sms.subs(bb)) is true. Does a different method exist to solve the problem? |

2016-05-18 08:14:40 +0100 | commented answer | Linear programing variable dependancy If the system p is 3D, can I fix one parameter to get a 2D system without start a new instance of MixedIntegerLinearProgram()? |

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2016-05-17 13:46:41 +0100 | asked a question | Linear programing variable dependancy Solving a linear programming problem there input constrains and addition constraints my be generated during solving the problem. I am only interested in constrains of the form x <= y. Does sage provide a method to the all the constrains between the variables? How easy is it to represent the constrain visually? |

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2013-08-16 05:29:34 +0100 | asked a question | python/sage script in multiple notebooks Hallo, how can I include a script in more than one notebook? Regards. |

2013-07-30 08:43:09 +0100 | commented question | Create Morphism's between Finite Fields and VectorSpaces @Luca, yes was supposed to be additive. |

2013-07-29 09:14:15 +0100 | commented answer | Symbolic computations in a finite field What type of code do I need to write to be able to write something like f = sympy.Function('f') y + f(y^6) + f(x^2) + x where y is an element in a finite field and x is a variable/Symbol. If I was working in c++ I would at least to overload the + operator between the FiniteField sympy.Function can sympy.Symbol types. |

2013-07-28 04:46:20 +0100 | commented question | Create Morphism's between Finite Fields and VectorSpaces H_u was suppose to the a multiplicative subgroup of Kn_1 and now can't get away to generate a subgroup in sage. The reason I want to use a morphism is that I am only interested in the Range and Domain and the mapping. This will also help met to learn a functionality of sage. |

2013-07-24 18:29:57 +0100 | commented answer | Symbolic computations in a finite field My requirement is to be able to use unknowns and function (not fully defined) in equations over a specific finite field. The only knowledge about the unknowns is that the unknown is in the field. Also the range and domain of the function f is the field. In the end I want to use sage as a calculator to perform arithmetic in a finite field to simplify a set of equations. These equation is not linear and that where the function f comes in, it will be used to represent a non-linear function. |

2013-07-24 08:45:51 +0100 | commented answer | Symbolic computations in a finite field @slelievre Thanx it was suppose to be x^(2^8), I have updated the question |

2013-07-24 03:08:27 +0100 | commented question | Create Morphism's between Finite Fields and VectorSpaces The curly brackets got lost in the definition of H_u. The function $l(x)=x^(2^i)+x$ is linear over GF(2^(n+1)) and H_u is image of $l(x)$ giving that H_u is a subgroup of GF and can also be seen as a vector space. |

2013-07-23 17:59:05 +0100 | asked a question | Create Morphism's between Finite Fields and VectorSpaces Hallo, I am interested in creating morphims between $GF(2^{n+1}) \stackrel{h_1}{\longrightarrow} H_u \stackrel{h_2}\longrightarrow GF(2^n)$ where $H_u={x^{2^i} + x : x \in GF(2^{n+1})}$ where $gcd(i,n+1) =1$. I am interested in constructing $h_1$ and $h_2$, My attempt to create $h_1$ is: now $hs$ is a set of morphism and $h_1 \in hs$. Can I get a (the) specific $h_1$ from $hs$? My attempt is $pi$ but 'pi(Kn_1.random_element()) in Kn' fails. To construct $h_2$ I have more success. Now $h_a : Vn\rightarrow Sn_1$ where $Vn$ and $Sn_1$ is vector space representation of $GF(2^n)$ and $H_u$. To get from $GF(2^n)$ to $Vn$ and back I am good with But to create $h_2$ I have no luck. My attempts to use but get errors with regards to the dimensions of the matrix. Regards |

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2013-07-22 05:49:28 +0100 | asked a question | Symbolic computations in a finite field Hallo I am interested in symbolic computations in a file field. Working in the field $GF(2^8)$ with $x$ as a generator and a variable $y$, also there is a function $f:GF(2^8)\rightarrow GF(2^8)$ of which the exact definition is not given. Can sage do the following: $(x + y) ^ {2^8} \mapsto x + y$ $(x + y) ^ {2^6} \mapsto x ^ {2^6} + y ^ {2^6}$ $f(y) + f(y) \mapsto 0\cdot x$ If sage cannot do it does there exist another program which can? Below is my question updated: For the function I have a partial solution but I cannot mix it with an element of an finite field When I want to add an element of a finite field the statement $f(x) +x$ give me an error that makes sense ... TypeError: unsupported operand parent(s) for '+': 'f' and 'Finite Field in g of size 2^8' To create a variable in a finite field I decided to use a Polynomial ring both $f(x)$ and $f(x) + x$ fails with a very long Trace message. Regards |

2013-07-21 18:26:43 +0100 | commented answer | basis of hyperplane @tmonteil, thanx the map was suppose to be $x\mapsto x\cdot a^8 + x^8 \cdot a$. By adding the code f = lambda x: x * a^8 + a * x^8 S = V.subspace([f(x) for x in K]) S.basis() I got a solution. What will the most effective method to create a map (isomorphism) from $S$ to $GF(2^n)$? |

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2013-07-20 16:40:54 +0100 | asked a question | basis of hyperplane Hallo I am new to sage and have this problem. Given a hyperplane $H_u \subset GF(2^{n+1})$ define by $x |-> a^8 +a$ How do I determine the basis of $H_u$ over $GF(2)$? Regards |

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