能量均分定理是指粒子的动能——即粒子移动具有的能量——只由其温度决定，而非其大小或质量。
The equipartition theorem states that a particles' kinetic energy-the energy it possesses due to motion-is determined only by its temperature, not its size or mass.
如果我们知道它是一个梯度场，就可以由基本定理，得到上面那些性质。
Well, if we know that it's a gradient field, that we've seen that we get these properties out of the fundamental theorem.
中国剩余定理记载在一本由数学家孙子编写的书籍中（不要把他和与他同名的军事家孙子混淆了）。
This theorem is contained in a book writtenin the late third-century AD by a mathematician called Sun Tzu (not to beconfused with the military strategist of the same name).
定理（theorems）由公理推论得到的关于程序的陈述。
theorems which are statements about the program inferred from the axioms.
他希望到那时，能量均分定理能被完全解决，引领我们面对量子力学中由原子组成的粒子方面的新问题和解决方法。
There, he expects that equipartition theory will break down, leading to new problems and solutions surrounding the quantum mechanics of small particles composed of many atoms.
分清主次：象麦肯锡这样的管理顾问公司在训练他们的职员时使用二八定理：80%的效果由20%导致，因此关注这20%。
Prioritize: management consultingfirms such as McKinsey train their staff in the so-called 80/20 rule:80% of effects are caused by 20% of causes-so focus on the 20%.
由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。
Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.
这些公式虽然由弹性稳定理论导出，和非弹性范围内的试验结果也吻合较好。
Although basing on the theory of elastic stability, these formulas agree well with test results in inelastic range as well.
由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。
Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.
物理学是由物理概念、物理定律、物理定理所构成的能自圆其说的严密逻辑体系。
Physics is a strict reasonable logical system, which consists of physical concepts, physical laws and physical theorems.
根据由李亚普诺夫定理导出的综合阻尼系数的原理，统一定义了同步发电机的动态阻尼力矩系数和动态同步力矩系数。
A unified definition for damping torque coefficient of synchronous machines is proposed in this paper according to the principle of synthetic damping coefficients deduced from the Lyapunov Theorem.
量子密钥的安全性由量子测量理论和量子不可克隆定理所保证。
The security of QKD is guaranteed by the quantum measurement theory and quantum no cloning theorem.
本文定义了模的一种新的环变换，讨论了它的一些基本性质，并且给出了由诱导函子引起的环变换下的一个模的同构定理。
This paper defines a new transformation of modules, discusses some of its basic characteristics, and proposes a modular isomorphic theorem of the ring transformation caused by induced functors.
本文利用演绎定理的证明思路给出了一个由演绎证明构造公理证明的一般程序，并增加了一条简化命令，使该程序既严格又具有实际可操作性。
The article USES the proving of deduction theorem to give general program of construction theorem proving, and adding a piece of simplification command. The program is gotten strict and exercisable.
文章利用抽样定理，首次由频谱的混叠导出物理上可实现的第一类部分响应形成滤波器特性。
By using Sampling Theorem, the paper first deduce the characteristics of the first class partial response shaping filter that can be realized on the physical from the spectrum overlap.
本文讨论了根据一个生成解定理，由史瓦希外部解生成的静态电磁真空解的奇异性和视界。
This thesis discusses the singularity and the horizon of a static electromagnetic vacuum solution generated from Schwarzchild outside solution, on the basis of the theorem generation solution.
由切应力互等定理可知，在截面边缘上各点处切应力方向必与圆周相切。
Based on shearing stress Theorem, we know that the shearing stress direction of all the spots on the edge of circular cross-section should be tangent to the circle.
协议的安全性由量子不可克隆定理和单光子序列的秘密传输顺序所保证。
The security for the protocol is ensured by the quantum no-cloning theorem and the secret transmitting order of the single photon sequence.
指出无限长载流螺线管的磁场是不能仅由安培环路定理求出的。
It also points out that the magnetic field of unlimited length solenoid cannot be calculated only by Ampere 's Loop Law.
由质点运动连续性公理导得力的连续性定理及关于质点运动轨迹的三个定理。
We can derive one theorem of the continuity of a force and three theorems about the trajectory of a particle with the particle-motion-continuity axiom.
建立了由函数恒等式所导出的函数项级数的求和定理，并给出了具体应用的实例。
A theorem for the summation of series expressed by function terms derived from function identities is established. Some examples in practical application are given.
采用全电流定理，由磁场能量的计算推导出槽漏抗计算公式。
Based on full current theory, derive formula of slot leakage reactance from magnetic field energy calculation.
该文目的是推广由李德玉和郭秀云得到的有关可补子群的两个超可解性定理。
The purpose of this paper is to generalize two supersolvability theorems obtained by LI De-yu and GUO Xiu-yun with respect to complemented subgroups of finite groups.
其中定理1和2的条件采用带参数的函数，便于运用由方程首次积分构造函数的方法来获得。
The conditions of Theorems 1 and 2 formulated here adopt the Liapunov functions with parameter so that they may be more easily obtained by using Chetaev 's method.
本文证明了一条关于K - S函数的梯度收敛于相应的极大值由数的次微分的定理。
In this paper, we prove a theorem on the convergence of the gradient of K-S function to the subdifferential of corresponding maximum function.
由两个转动定律导出了平行轴定理和柯尼希定理。
Parallel axis theorem and Knig theorem are deduced from the two laws of rotation.
本文对弱上半连续多值映象给出了一个新的叠合定理。由这叠合定理还导出了一些新的不动点定理。
In this paper, a new coincidence theorem for multivalued mappings of upper hemicontinuous is given. Some new fixed point theorems are obtained as a consequence of this coincidence theorem.
在此基础上，证明了由一般事物系统向辩证矛盾系统转化的软阴阳化定理和硬阴阳化定理。
On these bases, the soft Yin-Yangalization theorem and the hard Yin-Yangalization theorem that describe the transformation from ordinary thing's system to dialectical contradiction are proved.
由单强度测量来恢复相位问题，也有过讨论，可以利用解析函数特有性质或应用取样定理来实现相位恢复。
The phase retrieval problem from single intensity measurement was also discussed in terms of the properties of analytical function or under consideration of sampling theorem.
由单强度测量来恢复相位问题，也有过讨论，可以利用解析函数特有性质或应用取样定理来实现相位恢复。
The phase retrieval problem from single intensity measurement was also discussed in terms of the properties of analytical function or under consideration of sampling theorem.
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