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2022-03-15 01:31:33 +0200 | edited question | Coefficients of symmetric polynomials Coefficients of symmetric polynomials Hi everyone, I want to get the coefficients of symmetric polynomials, and then m |

2022-03-15 01:24:30 +0200 | marked best answer | Coefficients of symmetric polynomials Hi everyone, I want to get the coefficients of symmetric polynomials, and then make them a vector. I tried the following code: The output is Edit:
I would like to make some clarification about the desired result. What I want is a vector of dimension |

2022-03-15 01:24:27 +0200 | commented answer | Coefficients of symmetric polynomials Sorry for the ambiguity in the question, and I would edit it to make it precise. Your answer is exactly what I wanted, t |

2022-03-14 17:07:30 +0200 | asked a question | Coefficients of symmetric polynomials Coefficients of symmetric polynomials Hi everyone, I want to get the coefficients of symmetric polynomials, and then m |

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2022-03-14 16:50:24 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n Thank you very much for your answer! It works fine now. By the way, do you know how to fix this problem under your setti |

2022-03-14 16:45:02 +0200 | marked best answer | Multivariate polynomial ring with total degree no larger than n Hello everyone, I need to compute the product: $f(x_1) f(x_2) ... f(x_n)$, where $f$ is a polynomial of degree $n$, and I do not need the part with total degree larger than $n$. To reduce the computation complexity, I think it would be helpful to construct an $n$-variable multivariate polynomial ring, with terms total degree no larger than $n$. I found the following two possible ways to do this, however, I could not make either of them work for my settings. Create a multivariate polynomial ring then quotient out every monomial with total degree larger than $n$. However I do not know how to express this ideal. `Q = PolynomialRing(QQ, n, 'x') x = Q.gens()` I found a suggestion to use a function `max_degree` for polynomial rings atHowever, it seems there is no `max_total_degree` function for the multivariate case.
I am new to Python, Sage, and this community, so thank you in advance for your helpful suggestions and comments! |

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2022-03-13 08:21:33 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n P = PowerSeriesRing(QQ, 3, 'x', default_prec = 3); x = [g.add_bigoh(3) for g in P.gens()]; f=P(x[0]^4); f The above cod |

2022-03-13 08:21:15 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n 'P = PowerSeriesRing(QQ, 3, 'x', default_prec = 3); x = [g.add_bigoh(3) for g in P.gens()]; f=P(x[0]^4); f' The above c |

2022-03-13 08:21:08 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n P = PowerSeriesRing(QQ, 3, 'x', default_prec = 3); x = [g.add_bigoh(3) for g in P.gens()]; f=P(x[0]^4); f The above cod |

2022-03-13 08:20:43 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n P = PowerSeriesRing(QQ, 3, 'x', default_prec = 3) x = [g.add_bigoh(3) for g in P.gens()] f=P(x[0]^4); f |

2022-03-13 08:20:27 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n P = PowerSeriesRing(QQ, 3, 'x', default_prec = 3) x = [g.add_bigoh(3) for g in P.gens()] f=P(x[0]^4); f The ab |

2022-03-13 08:20:20 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n P = PowerSeriesRing(QQ, 3, 'x', default_prec = 3) x = [g.add_bigoh(3) for g in P.gens()] f=P(x[0]^4); f The above code |

2022-03-13 02:11:51 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n Thank you for your answer! I tried the following code: Q = PowerSeriesRing(QQ, 3, 'x', default_prec = 3); x = Q.gens(); |

2022-03-13 02:00:57 +0200 | commented answer | Multivariate polynomial ring with total degree no larger than n Thank you for your answer! I tried the following code: Q = PowerSeriesRing(QQ, 3, 'x', default_prec = 3) x = Q.gens() f |

2022-03-13 01:52:44 +0200 | commented question | Multivariate polynomial ring with total degree no larger than n Thank you very much for fixing my link and your comment! |

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2022-03-12 18:01:24 +0200 | asked a question | Multivariate polynomial ring with total degree no larger than n Multivariate polynomial ring with total degree no larger than n Hello everyone, I need to compute the product: f(x_1)f( |

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