Frisky
发表于 2025-3-30 08:56:56
Computation of the splitting fields and the Galois groups of polynomials,alois groups can be determined in polynomial time. An effective method, thus, exists in theory. For practical computation, however, the most serious problem remains: How to determine solvability of each polynomial with primitive Galois group.
gonioscopy
发表于 2025-3-30 15:49:38
An effective method to classify nilpotent orbits,proved in 1868 that the ring of invariants is finitely generated in the example considered above. But even for this “simple-looking” example, a complete description of the invariants and the orbits exists only for the cases . ≤ 6 and . = 8.
固执点好
发表于 2025-3-30 19:27:48
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盟军
发表于 2025-3-30 22:08:03
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CRACY
发表于 2025-3-31 03:53:26
https://doi.org/10.1007/978-3-658-03458-0ased on the results of this algorithm, many elementary properties of X and its homogeneous coordinate ring . like its Hilbert function, Cohen-Macaulay type, a minimal system of generators of ... the separators (cf. , sect. 2), etc. can be easily computed.
negligence
发表于 2025-3-31 07:33:15
How to compute the canonical module of a set of points,ased on the results of this algorithm, many elementary properties of X and its homogeneous coordinate ring . like its Hilbert function, Cohen-Macaulay type, a minimal system of generators of ... the separators (cf. , sect. 2), etc. can be easily computed.
conscribe
发表于 2025-3-31 12:26:58
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惊呼
发表于 2025-3-31 13:48:55
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先兆
发表于 2025-3-31 17:57:14
Zeros, multiplicities, and idempotents for zero-dimensional systems, rephrased in the context of finite-dimensional algebras over a field . of characteristic zero. It is the main feature of our approach to adapt to the affine case the concept of the .-Chow form (or .-resultant) which was developed in the projective case (and has been used by several authors, e.g., [
Fortify
发表于 2025-3-31 23:35:38
On a conjecture of C. Berenstein and A. Yger,.,…,.. Є .[..,..] of degree ≤ . such that .. belongs to the ideal generated by ..,…, .. that and each solution ..,…, .. of the equation.satisfies max deg.. In other words, the growth of the degrees of the polynomial coefficients in the representation problem for an ideal .. is, in general, double-ex