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2024-02-19 16:53:43 +0200 | edited question | Plot a 3D figure with different colors of a System of three Equations using SageMath Plot a 3D figure with different colors of a System of three Equations using SageMath Variable Definition: Three variabl |
2024-02-19 16:52:22 +0200 | edited question | Plot a 3D figure with different colors of a System of three Equations using SageMath Plot a 3D figure with different colors of a System of three Equations using SageMath Variable Definition: Three variabl |
2024-02-19 16:31:26 +0200 | edited question | Plot a 3D figure with different colors of a System of three Equations using SageMath Plot a 3D figure with different colors of a System of three Equations using SageMath Variable Definition: Three variabl |
2024-02-19 16:26:34 +0200 | asked a question | Plot a 3D figure with different colors of a System of three Equations using SageMath Plot a 3D figure with different colors of a System of three Equations using SageMath Variable Definition: Three variabl |
2024-02-19 15:57:06 +0200 | edited question | Plot a 3D figure with different colors of a System of three Equations using SageMath Plot a 3D figure of a System of three Equations using SageMath # Define variables x, y, z = var('x,y,z') # Define equat |
2024-02-19 15:28:10 +0200 | asked a question | Plot a 3D figure with different colors of a System of three Equations using SageMath Plot a 3D figure of a System of three Equations using SageMath # Define variables x, y, z = var('x,y,z') # Define equat |
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2022-01-21 04:32:07 +0200 | commented answer | How to skip solution which doe not exists in a system of equations? @MaxAlekseyev Thank you very much for your answer. |
2022-01-20 18:01:43 +0200 | edited question | How to skip solution which doe not exists in a system of equations? How to skip solution which doe not exists in a system of equations? I would like to solve system of equations which take |
2022-01-20 18:00:18 +0200 | asked a question | How to skip solution which doe not exists in a system of equations? How to skip solution which doe not exists in a system of equations? I would like to solve system of equations which take |
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2021-01-25 18:04:36 +0200 | commented answer | Arithmetic operation is not working in finite field GF(4091^2)? @ tmonteil What is the solution then? |
2021-01-25 14:31:08 +0200 | asked a question | Arithmetic operation is not working in finite field GF(4091^2)? I am facing problem during arithmetic operation in $ GF(4091^2)$. But everything working fine in $ GF(13^2)$ as How can I fix this? |
2021-01-25 13:35:17 +0200 | asked a question | How to do arithmetic operation of elements in finite field? Let us consider an example: We consider two elements We have In reverse way we can get the corresponding integers as : That is, How can I do the same for the field |
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2021-01-25 03:23:09 +0200 | asked a question | Solve system of equations in a finite field I would like to generate and solve a system of equations in both GF(251) and GF(13^2) using the same function. Let us illustrate it in $GF(251)~ [or~ GF(13^2)]$, Equation construction part: Solve system of equations: MWE: Case -I : $GF(251)$ Case -II : $GF(13^2)$ How can I do the above using the same function for the both filed $GF(251)$ and $GF(13^2)$? |
2021-01-20 10:52:20 +0200 | asked a question | How to index all elements of a finite field? I would like to assign an integer corresponding to element of a finite field $GF(p^m)$, where $p^m\in[ {13^2,3^5, 131,137,139,251}] $ THe elements of GF(3^5) are 0,1,2,x,x^2 etc, we would like to indexing each element such as $0-->0, 1-->1,2-->2,x-->3, x^2--4$ etc. Not only that, if I call any element for example if I call x^2 it should rerun 4 and conversely. This process should work for the field order prime $p^m, m=1$ also. How can I do this? |
2020-11-30 10:58:41 +0200 | commented answer | Error: No module named 'sagenb' @ JohnPalmieri I did according to you, but shows access denied: Access to the file was deniedThe file at file:///home/mks/.local/share/jupyter/runtime/nbserver-9493-open.html is not readable. It may have been removed, moved, or file permissions may be preventing access. ERR_ACCESS_DENIED |
2020-11-30 04:22:19 +0200 | commented answer | Error: No module named 'sagenb' @ EmmanuelCharpentier BUt it does not solve my problem how to fix it? |
2020-11-29 12:24:26 +0200 | asked a question | Error: No module named 'sagenb' SageMath is not working on Ubuntu 20.04. When I am going to open notebook interface it show the following errors: How can I fix this? |
2020-10-30 12:02:16 +0200 | commented answer | Crash with polynomial over "Givaro" finite field @ tmonteil Is there any package instead of "givaro" which has no bug? |
2020-10-02 01:48:21 +0200 | asked a question | Crash with polynomial over "Givaro" finite field I would like to solve a system of equations in a finite field of prime order $p$ (illustrated below with $p = 229$). The system consists in four equations and has four unknowns $a_0$, $a_1$, $a_2$, $a_3$. It depends on parameters $\alpha_i$, $b_i$, all in $F(p)$, for $i = 1, 2, 3, 4$. The four equations are $$a_0 + a_1 \alpha_1 + a_2 \alpha_1^2 + a_3 \alpha_1^3 = b_1$$ $$a_0 + a_1 \alpha_2 + a_2 \alpha_2^2 + a_3 \alpha_2^3 = b_2$$ $$a_0 + a_1 \alpha_3 + a_2 \alpha_3^2 + a_3 \alpha_3^3 = b_3$$ $$a_0 + a_1 \alpha_4 + a_2 \alpha_4^2 + a_3 \alpha_4^3 = b_4$$ To do this I have tried with the following examples: But it shows erros: How can I fix this? |
2020-09-19 14:00:05 +0200 | marked best answer | How to express elements in a field of prime order and power of a prime order using the same function? When field size is of the form $p^m$, where $p$ is a prime and $m>1$ is a positive integer, there is no problem. For example It outputs : 4. But if we take field size is in the form $p^1$, then the above code does not working. For example It gives errors. How can I fix this using the same function in both the cases? |