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单词 integrable
释义

integrable /'ɪntɪɡrəbl//'ɪntəgrəbl/

英汉-汉英词典
adj. 可积(分)的
名 词: integrability
词组 | 习惯用语
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  • integral adj. 必需的;不可或缺的;作为组成部分的;完整的;完备的
  • integrability n. 可积分性
integrable adj. 可积(分)的
square integrable [数] 平方可积
totally integrable 完全可积

网络短语:
liouville completely integrable liouville完全可积
lax integrable and liouville integrable lax和liouville可积
Liouville integrable Liouville可积
integrable models 可积模型
integrierbar integrable 可积的
completely integrable 完全可积的
Integrable condition 可积条件
uniformly integrable 一致可积的;一致可积鞅
英语例句库
  1. The Bethe ansatz equations are obtained from the periodic boundary conditions.The results show that this system is also completely integrable.
    【摘要】: 正 The exact eigenstates of the Hamiltonian of the mixed-valence lattice model are constructed by using the Bethe ansatz.

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英语百科

Integrable system

(重定向自Integrable)

In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems.

In the general theory of differential systems, there is Frobenius integrability, which refers to overdetermined systems. In the classical theory of Hamiltonian dynamical systems, there is the notion of Liouville integrability. This causes the trajectories to be fixed to smaller submanifolds allowing the solution to be expressed with a sequence of integrals (the origin of the name integrable). More generally, in differentiable dynamical systems integrability relates to the existence of foliations by invariant submanifolds within the phase space. Each of these notions involves an application of the idea of foliations, but they do not coincide. There are also notions of complete integrability, or exact solvability in the setting of quantum systems and statistical mechanical models. Integrability can often be traced back to the algebraic geometry of differential operators.

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更新时间:2025/6/19 14:48:52