Nuclei with closed-shell have spherical symmetries.

闭壳核具有球对称性。

They are symmetries of the sphere.

这就是球的对称性。

But studying such symmetries required a whole new language.

但研究这类对称需要全新的语言。

Symmetries and variations are also interlaced on the upper floors.

对称性和变化也交错楼上。

Subfactor theory is a natural framework to study quantum symmetries.

讲座摘要：子因子提供了一个研究量子对称性的理论框架。

Classifications of hadrons, unitarity symmetries of hadron, quark model.

强子分类，强子的么正对称性，夸克模型。

Their own lives already seemed to possess the symmetries of narrative art.

他们自己的生活似乎已经拥有叙事艺术的对称性。

Some of these patterns relate to symmetries, which can be expressed mathematically.

有些模式涉及到对称性，因而可以用数学公式加以表达。

This paper discuss noninteracting control problems for nonlinear systems possessing symmetries.

本文讨论了具有对称性的非线性系统的无交互控制问题。

This paper views the symmetries in Physics and the conservation Laws related to the symmetries.

本文概述了物理学中的对称性及与之相联系的守恒定律。

The symmetries and conserved quantities for the systems with unilateral holonomic constraints were studied.

研究了单面完整约束系统的对称性与守恒量。

Even these buildings only tended to be asymmetric about major axes, though; there were hundreds of minor symmetries.

但即使是这类建筑也只是在中轴线上不对称，还有许多小的地方是对称的。

The space-time symmetry, the internal symmetry and the relation between the symmetries and the groups are discussed.

分别讨论了时空对称性和内部对称性及其与数学中的群的关系。

The perturbation of symmetries and adiabatic invariants of discrete mechanical systems in the phase space are studied.

研究相空间中离散力学系统对称性的摄动与绝热不变量。

In 1965 a new simple group (with 175,560 symmetries) was discovered which did not fit into any of the standard families.

1965年一个新的简单群(它有175560种对称)被发现，对它无法做任何标准的分类。

In 1965 a new simple group (with 175, 560 symmetries) was discovered which did not fit into any of the standard families.

1965年一个新的简单群(它有175560种对称)被发现，对它无法做任何标准的分类。

An even more important fact is that these symmetries implicate a large number of conservation laws at the particle level.

还有一个更重要的事情，这些对称性暗示着大量的守恒定律。

The studies on symmetries and exact invariants (conserved quantities) play a very important role in mechanics and physics.

力学系统的对称性与精确不变量（守恒量）在力学、物理学中具有非常重要的意义。

The perturbation problem of symmetries for constrained Hamiltonian systems under the action of small excitation is studied.

研究小干扰力作用下约束哈密顿系统对称性的摄动问题。

He was just concerned with the mathematical consequences of an idea, working out what can be deduced from the various symmetries.

他仅关心一个想法的数学结果，从各种对称的角度考虑看看能得出什么结果。

However, we found that in most cases symmetries of the tertiary structures of many proteins can only be seen on the structural level.

然而，我们发现一些结构对称的蛋白质其氨基酸序列却看不出这种对称性。

The polarized characteristic of multiphoton process can be used to assign the symmetries of electronic states and vibrational structures.

多光子过程的偏振特性可以用来标识电子态及振动结构的对称性。

The final chapter deals with identical-particle symmetries and their application to the he atom, the Periodic Table and diatomic molecules.

最后的章处理相同粒子的对称性和对他的他们的申请原子，周期表和双原子的分子。

The largest is called the “Monster” and is impressively huge: a number with 54 digits, describing the symmetries of a 196,883-dimensional “object”.

最大的一个叫做“怪物”而且大的吓人：一个196883维的“对象”，它的对称数要用一个54位数描述。

The largest is called the “Monster” and is impressively huge: a number with 54 digits, describing the symmetries of a 196, 883-dimensional “object”.

最大的一个叫做“怪物”而且大的吓人：一个196883维的“对象”，它的对称数要用一个54位数描述。

Then Einstein, with his special theory of relativity, looked at a whole set of symmetries of Maxwell's equations, which are called special relativity.

接着爱因斯坦提出了狭义相对论—一种更简明的公式，它更体现了对称性。

It is proven that if the systems with symmetries can be decomposed at a point, then it can be decomposed at all the points in the orbit of this point.

特别是若状态流形是齐次流形的话，则由系统在某一点可能控分解就能推出系统可全局能控分解。

Then, with Einstein's special theory of relativity, a still more concise formulation became possible, one that fully exhibited the symmetries of the system.

接着爱因斯坦提出了狭义相对论-一种更简明的公式，它更体现了对称性。