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2023-02-05 18:57:48 +0200 asked a question Number Field Sieve algorithm for Integer factorization and Discrete log problem

Number Field Sieve algorithm for Integer factorization and Discrete log problem I want to use Number Field Sieve algorit

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2022-04-30 09:10:13 +0200 edited question How to find the dimension of Grobner basis

How to find the dimension of Grobner basis I have a set POLY of multivariate polynomials over integer. From this set, w

2022-04-30 09:09:45 +0200 asked a question How to find the dimension of Grobner basis

How to find the dimension of Grobner basis I have a set $POLY$ of multivariate polynomials over integer. From this set,

2022-04-22 13:41:10 +0200 received badge  Popular Question (source)
2022-04-16 06:04:49 +0200 marked best answer Algorithm for Grobner Basis

We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is it F5?

sage :  P.<x ,y> = PolynomialRing (GF(11) ,order =’lex ’)

sage : f1 = (x -1)^2 + (y -2)^2 - 3^2

sage : f2 = ( x +1)^2 + (y -1)^2 - 2^2

sage : I = Ideal ( f1 , f2 )

sage : I. groebner_basis ()
2022-04-10 10:47:05 +0200 edited question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-04-10 10:45:59 +0200 edited question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-04-10 10:45:42 +0200 edited question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-04-10 10:45:20 +0200 edited question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-04-10 10:05:48 +0200 edited question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-04-10 10:05:23 +0200 edited question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-04-10 10:04:50 +0200 edited question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-04-10 09:38:40 +0200 asked a question Algorithm for Grobner Basis

Algorithm for Grobner Basis We can calculate Groebner Basis as follows: I want to know the corresponding algorithm. Is i

2022-03-13 15:30:48 +0200 edited question Solve system of symbolic binary nonlinear equations

Solve system of symbolic binary nonlinear equations I have 10 binary variables $x_0, ..,,x_4$ and $y_0,..,y_4$. I know $

2022-03-13 15:30:29 +0200 edited question Solve system of symbolic binary nonlinear equations

Solve system of symbolic binary nonlinear equations I have 10 binary variables $x_0, ..,,x_4$ and $y_0,..,y_4$. I know $

2022-03-13 15:30:03 +0200 edited question Solve system of symbolic binary nonlinear equations

Solve system of symbolic binary nonlinear equations I have 10 binary variables $x_0, ..,,x_4$ and $y_0,..,y_4$. I know $

2022-03-13 15:28:56 +0200 edited question Solve system of symbolic binary nonlinear equations

Solve system of symbolic binary nonlinear equations I have 10 binary variables $x_0, ..,,x_4$ and $y_0,..,y_4$. I know $

2022-03-13 13:39:23 +0200 asked a question Solve system of symbolic binary nonlinear equations

Solve system of symbolic binary nonlinear equations I have 10 binary variables $x_0, ..,,x_4$ and $y_0,..,y_4$. I know $

2022-02-10 15:37:56 +0200 commented question Integration using quad.

I used " from mpmath import *" and "import time". It is running. My Sage version is 8.2

2022-02-10 14:06:58 +0200 marked best answer How to measure clock cycles for a particular operation

How to measure clock cycles in the following matrix multiplication?

A = zero_matrix(ZZ,100)
B = zero_matrix(ZZ,100)
for i in range(100):
    for j in range(100):
        A[i, j] = ZZ.random_element(1000)
        B[i, j] = ZZ.random_element(1000)
C = A * B
2022-02-10 13:49:49 +0200 edited question Integration using quad.

Integration using quad. In my understanding, I is the integration of normal distribution from -infinity to 2^50. The va

2022-02-10 13:48:58 +0200 asked a question Integration using quad.

Integration using quad. In my understanding, I is the integration of normal distribution from -infinity to 2^50. The va

2022-02-07 08:19:58 +0200 asked a question How to measure clock cycles for a particular operation

How to measure clock cycles for a particular operation How to measure clock cycles in the following matrix multiplicat

2022-01-24 03:57:56 +0200 commented answer How to evaluate a Boolean function at a point

Thanks a lot

2022-01-24 03:57:27 +0200 marked best answer How to evaluate a Boolean function at a point

I want to evaluate a Boolean function at a point as follows but it is giving error

V=BooleanPolynomialRing(6,['x%d'%(i) for i in range(6)] )

V.inject_variables()

Z_1 = list(V.gens())

f=x1

A=[]

for i in range(6):
A.append(ZZ.random_element(2))

print(f(A))

2022-01-23 19:19:20 +0200 asked a question How to evaluate a Boolean function at a point

How to evaluate a Boolean function at a point I want to evaluate a Boolean function at a point as follows but it is givi

2021-10-14 20:52:10 +0200 asked a question How to find orthogonal subspace of a subspace

How to find orthogonal subspace of a subspace I have written a code: n=4 V = VectorSpace(GF(2),n) C=[[0,0,1,0],

2021-08-31 12:43:12 +0200 marked best answer How to find all combinations in multinomial case

We can find all combinations in Sagemath using

C = Combinations(range(10),4)

Now instead of binomial, I want multinomial case. So out of 10 possible places, I want to find all combinations (4,3,3). How can we do this in Sagemath?