有趣的英语语法

【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆

【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆

「integrable」の意味(adjective)

词性（英语单词的分类）：形容词
与“数学”相关的术语 专门

它的意思是[如果一个函数或方程可积，则可以计算其积分]。

中文翻译：[可集成]

例句
Each of the distributions is integrable.
每个发行版都可以集成。
例句
The course was concerned with solving integrable differential equations.
本课程涉及求解可积微分方程。

它用来表示它可以与其他事物有效地结合。

例句
The software package is highly customizable and integrable with many other products.
该软件包具有高度可定制性，可以与许多其他产品集成。
例句
We have managed to develop a fast, practical, and highly integrable device.
我们成功地开发了一种快速、实用且高度集成的设备。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆

参考：「integrable」示例短语列表

例句
In a series of papers in the 1970s he illuminated a number of completely integrable systems, and established connections between them.
在 20 世纪 70 年代的一系列论文中，他确定了许多完全 可积的 系统并在它们之间建立了联系。
例句
Note that one can apply this approach to a conjugacy between two partially hyperbolic diffeomorphisms having integrable center distributions (say, with compact leaves).
请注意，这种方法可以应用于具有 可积 中心分布的两个亚双曲微分同胚之间的共轭（例如，紧凑叶）。
例句
Among his famous successes is the geodesic flow on an ellipsoid, which he found to be integrable .
他的著名成就之一是椭球体上的测地线流，该流被发现是 可积的 。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆
例句
One can restrict of course to the unit bundle, that is consider normalized integrable quadratic differentials.
当然，考虑到 归一化 可积二阶导数，我们也可以将自己限制为单位丛。
例句
These identities contain information on the formal degree of square- integrable representations and on their position in the induced representation.
这些恒等式包含有关平方 可积 表示的形式顺序及其在导出表示中的位置的信息。
例句
From (60) we can show that h(q) is square integrable .
从(60)我们可以证明h(q)是平方 可积的 。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆
例句
Unfortunately, (41) is not integrable , but it can be evaluated for long times.
不幸的是，(41) 不可 积 ，但可以进行很长一段时间的求值。
例句
The time-one map of is non-jointly integrable if and only if it is accessible.
的一次映射当且仅当它是可访问的时才是不可 协积的 。
例句
We emphasize that our approach works in arbitrarily many degrees of freedom and that it is independent of the integrable geometry one starts with.
我们强调，我们的方法适用于任意多个自由度，并且独立于我们开始时的 可积 几何。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆
例句
Our construction, however, is independent of any integrable approximation.
然而，这种构造独立于 可积 近似。

integrable是一个英语单词，有几个不同的含义。 让我们用例句来解释每个的含义和用法！

Also T. Kohno studies quantum invariants on low dimensional manifolds, which are related to integrable systems and the conformal field theory.
此外，T. Kohno 研究低维流形的量子不变量，这一研究主题也与 可积系统 和共形场论相关。
In the integrable case, the higher-spin model is constructed from the higher-dimensional representation of the Uq(sl2) algebra and therefore the quantum inverse scattering method (QISM) is valid.
在 可积 情况下，高阶自旋模型由 Uq(sl2) 代数的高维表示组成，并且可以应用量子逆散射方法。
Therefore, there are no two-dimensional leaves, and the system is not completely integrable .
因此，不存在二维叶子，系统不是完全 可积的 。
The existence of an integrable almost complex structure, on the other hand, is a much more difficult analytic question.
另一方面， 可积 近复结构的存在性是一个非常困难的分析问题。
Not every Pfaffian system is completely integrable in the Frobenius sense.
）并非所有普芬系统在弗罗贝尼乌斯意义上都是完全 可积的 。
Because C is not Jordan measurable, IC is not Riemann integrable .
由于 C 不是约旦可测的，因此 IC 不是黎曼 可积的 。
Since the existence of an integrable almost complex structure is equivalent to the existence of a complex structure, this is sometimes taken as the definition of a complex structure.
由于 可积 近似复数结构的存在等价于复数结构的存在，因此有时用它来定义复数结构。
I am studying underlying mathematical structures of such systems called the ” integrable systems”, and seeking generalization and application of their machineries.
我研究共享此类数学的 可积 系统背后的结构，并探索其机制的扩展和应用。
Choosing “good” discretizations can preserve the integrable structure that lies behind many of the well known types of special curves, surfaces, parametrizations etc.
许多著名的曲线和曲面参数化背后都隐藏着 可积 结构，而这种可积结构通过选择良好的离散化得以保留。
Our division studies the gauge theory-string theory correspondence by relating it to integrable systems with infinite dimensional symmetry and quantum topological invariants as mathematical structures of string theory.
在这个部门，我们正在通过将弦理论的数学结构与规范理论以及弦理论与无限 可积 系统和量子几何不变量的对应关系来开展研究。
It takes a locally integrable function f: Rd -> C and returns another function Mf that, at each point x ∈ Rd, gives the maximum average value that f can have on balls centered at that point.
对于局部 可积 函数 f: Rd -> C，它给出 f 在以每个点 x ∈ Rd 为中心的球体上可以采取的最大平均值 Mf。
When the function is integrable , the Fourier transform is still uniformly continuous and the Riemann-Lebesgue lemma holds.
当函数 可积 时，傅里叶变换仍然一致连续，黎曼-勒贝格引理成立。
Since f is the pointwise limit of the sequence (fn) of measurable functions that are dominated by g, it is also measurable and dominated by g, hence it is integrable .
由于 f 是由 g 控制的可测函数序列 (fn) 的点收敛极限，因此它也是由 g 控制的可测函数，因此是 可积的 。
The system is therefore said to be integrable , while the nonholonomic system is said to be nonintegrable.
因此，完整系统称为 可积 系统，非完整系统称为不可积系统。
These algebras are related to geometric objects such as quiver varieties and Coulomb branches, or integrable systems such as Calogero-Sutherland model. I am also interested in getting deeper understanding of these relationships.
该代数还与几何对象（如箭袋簇和库仑分支）以及 可积 系统（如 Calogero-Sutherland 模型）相关，我有兴趣更深入地理解这些关系。
For more details about this quantization in the case n = 1 (and an extension using the Fourier transform to a class of integrable functions larger than the polynomial functions), see Wigner-Weyl transform.
有关此量化的 n = 1 情况的详细信息（及其对大多数 可积 函数的扩展，包括使用傅里叶变换的多项式函数），请参阅 Weyl 量化 en。
The Newlander-Nirenberg theorem states that an almost complex structure J is integrable if and only if NJ = 0.
纽兰德-尼伦伯格定理指出，近复结构 J 是 可积的 ，并且 NJ = 0 的事实是等效的。
Levi (1906) conjectured that the theorem could be extended to functions that were integrable rather than bounded, and this was proved by Fubini (1907).
1906 年，Lévy 推测该定理 可以扩展到可积函数，即使它们无界 ，Fubigny 于 1907 年证明了这一点。
In this talk, I explain an attempt to characterize the 40 types of integrable systems obtained as the autonomous limit of the 4-dimensional Painlev¥N e-type equations, by inspecting the degenerations of their spectral curves, which are curves of genus two.
在本次研讨会中，我们将研究由自激 4 维 Painlevé 型方程获得的 40 个 可积系统 方程的谱曲线（属 2 代数曲线）的退化（Namikawa-Ueno 型）。我将解释我试图表征它的尝试。
4,141 – 252 (2009) Poisson vertex algebras in the theory of Hamiltonian equations A. Barakat, A. De Sole, V.G. Kac Abstract: We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to integrability of Hamiltonian partial differential an equation is called integrable if it can be included in an infinite hierarchy of compatible Hamiltonian equations, which admit an infinite sequence of linearly independent integrals of motion in involution.
4, 141 – 252 (2009) 哈密顿方程理论中的泊松顶点代数 A. Barakat, A. De Sole, VG Kac 摘要：我们开发了泊松顶点代数，以期应用于哈密顿偏微分方程的可积性。 如果一个方程可以包含在相互兼容的哈密顿方程的无限层次结构中，则该方程被认为是可积的 ，每个方程都具有无限多个线性独立的包含运动的积分。

“integrable”的同义词列表。 让我们按顺序来记住吧！。

  • centripetal
  • combining

听“ integrable ”的土音（发音）！

读法是【ˈɪn.tə.ɡrə.bəl】。 听下面的视频并大声发音【ˈɪn.tə.ɡrə.bəl】。

【必听】美国人解释“integrable”的含义

「integrable」の意味(adjective)

词性（英语单词的分类）：形容词
与“数学”相关的术语 专门

它的意思是[如果一个函数或方程可积，则可以计算其积分]。

中文翻译：[可集成]

例句
Each of the distributions is integrable.
每个发行版都可以集成。
例句
The course was concerned with solving integrable differential equations.
本课程涉及求解可积微分方程。

它用来表示它可以与其他事物有效地结合。

例句
The software package is highly customizable and integrable with many other products.
该软件包具有高度可定制性，可以与许多其他产品集成。
例句
We have managed to develop a fast, practical, and highly integrable device.
我们成功地开发了一种快速、实用且高度集成的设备。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆

参考：「integrable」示例短语列表

例句
In a series of papers in the 1970s he illuminated a number of completely integrable systems, and established connections between them.
在 20 世纪 70 年代的一系列论文中，他确定了许多完全 可积的 系统并在它们之间建立了联系。
例句
Note that one can apply this approach to a conjugacy between two partially hyperbolic diffeomorphisms having integrable center distributions (say, with compact leaves).
请注意，这种方法可以应用于具有 可积 中心分布的两个亚双曲微分同胚之间的共轭（例如，紧凑叶）。
例句
Among his famous successes is the geodesic flow on an ellipsoid, which he found to be integrable .
他的著名成就之一是椭球体上的测地线流，该流被发现是 可积的 。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆
例句
One can restrict of course to the unit bundle, that is consider normalized integrable quadratic differentials.
当然，考虑到 归一化 可积二阶导数，我们也可以将自己限制为单位丛。
例句
These identities contain information on the formal degree of square- integrable representations and on their position in the induced representation.
这些恒等式包含有关平方 可积 表示的形式顺序及其在导出表示中的位置的信息。
例句
From (60) we can show that h(q) is square integrable .
从(60)我们可以证明h(q)是平方 可积的 。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆
例句
Unfortunately, (41) is not integrable , but it can be evaluated for long times.
不幸的是，(41) 不可 积 ，但可以进行很长一段时间的求值。
例句
The time-one map of is non-jointly integrable if and only if it is accessible.
的一次映射当且仅当它是可访问的时才是不可 协积的 。
例句
We emphasize that our approach works in arbitrarily many degrees of freedom and that it is independent of the integrable geometry one starts with.
我们强调，我们的方法适用于任意多个自由度，并且独立于我们开始时的 可积 几何。
【英语单词】彻底解释“integrable”！ 含义、用法、例句、如何记忆
例句
Our construction, however, is independent of any integrable approximation.
然而，这种构造独立于 可积 近似。

integrable是一个英语单词，有几个不同的含义。 让我们用例句来解释每个的含义和用法！

Also T. Kohno studies quantum invariants on low dimensional manifolds, which are related to integrable systems and the conformal field theory.
此外，T. Kohno 研究低维流形的量子不变量，这一研究主题也与 可积系统 和共形场论相关。
In the integrable case, the higher-spin model is constructed from the higher-dimensional representation of the Uq(sl2) algebra and therefore the quantum inverse scattering method (QISM) is valid.
在 可积 情况下，高阶自旋模型由 Uq(sl2) 代数的高维表示组成，并且可以应用量子逆散射方法。
Therefore, there are no two-dimensional leaves, and the system is not completely integrable .
因此，不存在二维叶子，系统不是完全 可积的 。
The existence of an integrable almost complex structure, on the other hand, is a much more difficult analytic question.
另一方面， 可积 近复结构的存在性是一个非常困难的分析问题。
Not every Pfaffian system is completely integrable in the Frobenius sense.
）并非所有普芬系统在弗罗贝尼乌斯意义上都是完全 可积的 。
Because C is not Jordan measurable, IC is not Riemann integrable .
由于 C 不是约旦可测的，因此 IC 不是黎曼 可积的 。
Since the existence of an integrable almost complex structure is equivalent to the existence of a complex structure, this is sometimes taken as the definition of a complex structure.
由于 可积 近似复数结构的存在等价于复数结构的存在，因此有时用它来定义复数结构。
I am studying underlying mathematical structures of such systems called the ” integrable systems”, and seeking generalization and application of their machineries.
我研究共享此类数学的 可积 系统背后的结构，并探索其机制的扩展和应用。
Choosing “good” discretizations can preserve the integrable structure that lies behind many of the well known types of special curves, surfaces, parametrizations etc.
许多著名的曲线和曲面参数化背后都隐藏着 可积 结构，而这种可积结构通过选择良好的离散化得以保留。
Our division studies the gauge theory-string theory correspondence by relating it to integrable systems with infinite dimensional symmetry and quantum topological invariants as mathematical structures of string theory.
在这个部门，我们正在通过将弦理论的数学结构与规范理论以及弦理论与无限 可积 系统和量子几何不变量的对应关系来开展研究。
It takes a locally integrable function f: Rd -> C and returns another function Mf that, at each point x ∈ Rd, gives the maximum average value that f can have on balls centered at that point.
对于局部 可积 函数 f: Rd -> C，它给出 f 在以每个点 x ∈ Rd 为中心的球体上可以采取的最大平均值 Mf。
When the function is integrable , the Fourier transform is still uniformly continuous and the Riemann-Lebesgue lemma holds.
当函数 可积 时，傅里叶变换仍然一致连续，黎曼-勒贝格引理成立。
Since f is the pointwise limit of the sequence (fn) of measurable functions that are dominated by g, it is also measurable and dominated by g, hence it is integrable .
由于 f 是由 g 控制的可测函数序列 (fn) 的点收敛极限，因此它也是由 g 控制的可测函数，因此是 可积的 。
The system is therefore said to be integrable , while the nonholonomic system is said to be nonintegrable.
因此，完整系统称为 可积 系统，非完整系统称为不可积系统。
These algebras are related to geometric objects such as quiver varieties and Coulomb branches, or integrable systems such as Calogero-Sutherland model. I am also interested in getting deeper understanding of these relationships.
该代数还与几何对象（如箭袋簇和库仑分支）以及 可积 系统（如 Calogero-Sutherland 模型）相关，我有兴趣更深入地理解这些关系。
For more details about this quantization in the case n = 1 (and an extension using the Fourier transform to a class of integrable functions larger than the polynomial functions), see Wigner-Weyl transform.
有关此量化的 n = 1 情况的详细信息（及其对大多数 可积 函数的扩展，包括使用傅里叶变换的多项式函数），请参阅 Weyl 量化 en。
The Newlander-Nirenberg theorem states that an almost complex structure J is integrable if and only if NJ = 0.
纽兰德-尼伦伯格定理指出，近复结构 J 是 可积的 ，并且 NJ = 0 的事实是等效的。
Levi (1906) conjectured that the theorem could be extended to functions that were integrable rather than bounded, and this was proved by Fubini (1907).
1906 年，Lévy 推测该定理 可以扩展到可积函数，即使它们无界 ，Fubigny 于 1907 年证明了这一点。
In this talk, I explain an attempt to characterize the 40 types of integrable systems obtained as the autonomous limit of the 4-dimensional Painlev¥N e-type equations, by inspecting the degenerations of their spectral curves, which are curves of genus two.
在本次研讨会中，我们将研究由自激 4 维 Painlevé 型方程获得的 40 个 可积系统 方程的谱曲线（属 2 代数曲线）的退化（Namikawa-Ueno 型）。我将解释我试图表征它的尝试。
4,141 – 252 (2009) Poisson vertex algebras in the theory of Hamiltonian equations A. Barakat, A. De Sole, V.G. Kac Abstract: We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to integrability of Hamiltonian partial differential an equation is called integrable if it can be included in an infinite hierarchy of compatible Hamiltonian equations, which admit an infinite sequence of linearly independent integrals of motion in involution.
4, 141 – 252 (2009) 哈密顿方程理论中的泊松顶点代数 A. Barakat, A. De Sole, VG Kac 摘要：我们开发了泊松顶点代数，以期应用于哈密顿偏微分方程的可积性。 如果一个方程可以包含在相互兼容的哈密顿方程的无限层次结构中，则该方程被认为是可积的 ，每个方程都具有无限多个线性独立的包含运动的积分。

“integrable”的同义词列表。 让我们按顺序来记住吧！。

  • centripetal
  • combining

听“ integrable ”的土音（发音）！

读法是【ˈɪn.tə.ɡrə.bəl】。 听下面的视频并大声发音【ˈɪn.tə.ɡrə.bəl】。

【必听】美国人解释“integrable”的含义

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