主讲人
发表于 2025-3-23 12:59:22
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极大痛苦
发表于 2025-3-23 15:39:43
,An Application of the Lamé Equation,n and A and . are, in general, complex parameters. It is assumed, in what follows, that the roots of the polynomial . associated to . are simple (otherwise . is reduced to elementary functions). This is ensured if the discriminant.is non-zero, where g. and g. are the associated invariants (see Chapter 2).
Irrigate
发表于 2025-3-23 22:01:04
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Analogy
发表于 2025-3-24 00:48:28
https://doi.org/10.1007/978-3-0348-8718-2Dynamical System; Galois group; Galois theory; algebra; differential algebra; differential equation; dynam
和蔼
发表于 2025-3-24 04:07:00
https://doi.org/10.1007/978-3-031-54196-4ility” i.e., solutions in closed form: an equation is integrable if the general solution is obtained by a combination of algebraic functions (over the coefficient field), exponentiation of quadratures and quadratures. Furthermore, all information about the integrability of the equation is coded in t
卡死偷电
发表于 2025-3-24 07:41:44
Maria Luisa De Rimini,Giovanni Borrelliy i.e., Liouville integrability: the existence of . independent first integrals in involution, . being the number of degrees of freedom. Although integrability is well defined for these systems, it is very important to clarify what kind of regularity is allowed for the first integrals: differentiabi
左右连贯
发表于 2025-3-24 13:56:44
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notification
发表于 2025-3-24 18:26:35
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Humble
发表于 2025-3-24 21:38:14
The Bone Pathway: 223Ra-Dichloride,c differential Galois criterion of non-integrability based on the analysis in the . phase space of the variational equations along a particular integral curve. This problem was proposed in Section 6.4 (Question 2).
WITH
发表于 2025-3-25 02:55:35
Differential Galois Theory and Non-Integrability of Hamiltonian Systems