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Declaring constants in Sagemath

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#constants #sagemath #groebner-basis
78
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If $G$ is a Gröbner basis of $I$ with respect to $<_w$, then $\{in_w(g)\ |\ g\in G\}$ is a Gröbner basis for $in_w(I)$ with respect to $<$

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#combinatorics #commutative-algebra #groebner-basis
75
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$ n $ quadratic forms in $ n+1 $ variables

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#linear-algebra #algebraic-geometry #quadratic-forms #groebner-basis
56
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Proving that an ideal is primary

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#commutative-algebra #groebner-basis #primary-decomposition #macaulay2
87
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Subring of polynomial rings generated by a set

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#polynomials #ring-theory #groebner-basis
146
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Algorithm to simplify division of two multivariate polynomials

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#groebner-basis #multivariate-polynomial
89
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Polynomial constraints for restricting: $a=0$ if and only if $b\neq 0$

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#polynomials #computer-algebra-systems #groebner-basis #constraint-programming
73
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Groebner basis over rational vs finite field

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#computer-algebra-systems #polynomial-rings #groebner-basis
43
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Under what conditions is $\text{in}_{<}(I)$ a reduced Grobner basis?

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#combinatorics #algebraic-geometry #commutative-algebra #groebner-basis
124
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Finding implicit form of Nyquist curve without using a general algorithm for Groebner bases.

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#complex-analysis #algebraic-geometry #rational-functions #groebner-basis #implicit-function
35
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Uniqueness of quotients when reducing with Gröbner basis

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#algebraic-geometry #computational-mathematics #groebner-basis #computational-algebra
44
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$\tilde f_i = f_i + g_i$, then $\dim \mathbb C[t_1,\dots, t_d]/\langle f_i \rangle \leq \dim \mathbb C[t_1,\dots,t_d]/ \langle \tilde f_i \rangle$

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#polynomials #affine-varieties #groebner-basis
73
Views

Trying to understand basic Gröbner basis theorem

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#abstract-algebra #ring-theory #nonlinear-system #groebner-basis
66
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compute Matrix relative to monomial Basis

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#algebraic-geometry #affine-varieties #groebner-basis
60
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Gröbner basis and dg structures

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#groebner-basis #differential-graded-algebras

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