We find the reduced fidelity is an effective tool in detecting the quantum phase transitions associated with level crossings for the finite-size systems.
我们发现在有能级交叉的有限大尺寸系统中，约化保真度是一个测量量子相变的有效工具。
For smaller clusters, there is no clear characteristic of first-order phase transition during the melting, implying a coexistence of solid and liquid phases due to finite-size effect.
对于较小的团簇，融化曲线没有出现清楚的一级相变特征，意味着由于尺寸效应导致的固态液态共存。
In the low-temperature and high-density limit, we obtain the boundary effects on the thermodynamic quantities of two - and three-dimensional ideal quantum gases in finite-size systems.
在低温高密极限下，用渐进展开的办法，得到了二维和三维有限空间中理想量子气体的边界修正的表达式。
The size of the pie is not finite.
饼的大小并不是有限的。
The center of mass of a system is defined as follows: I have here some kind of an object not just a point mass, but it has a finite size.
系统的重心,是这样定义的：,我有一个物体,不是有棱角的物体，但它大小有限。
A closed universe is a finite universe — it will only expand to a certain size before collapsing.
封闭的空间是有限的，在膨胀到一定程度后就会崩缩。
"A universe filled with matter will contract down to a small—but finite—size and then bounce out again, giving us the expanding cosmos we see today, " he says.
“一个充满物质的宇宙会收缩至一个小——但有限——的尺寸然后又反弹开，产生我们今天看到的膨胀的宇宙，”他说。
The hydrodynamic instability model is spread for finite geometries in order to explain effects of size of microelectronic devices on the mechanism of formation of pool boiling critical heat fluxes.
动力学不稳定性模型被推广到有限几何形状的加热面，以解释微电子器件尺寸对池内沸腾换热临界热流形成机理的影响。
In the measurement, the finite size contact modification technology is applied.
测量过程中应用了有限尺寸接触电极修正理论。
The microstructure evolution models were implemented into the finite-element code, which allowed the prediction of distributions of grain size in the volume of the forging.
有限元分析方法通过应用微观结构演变的编码实现了预测、仿真锻造过程中晶粒的演变过程。
Because of the finite sample size, the precise limit and derivative does not exist. However, the approximate derivative will provide insight into the game balance.
因为样本大小有限，精确极限和导数不存在，最近似的导数可以洞悉游戏平衡性。
The inside mesh units have consistent size and ideal quality for the Finite Element Method. This method can establish good foundation for the further steps in virtual surgery system.
用这种方法生成的网格内部单元体的大小一致而且质量以达到了有限元方法所要求的理想网格标准，从而为虚拟手术后期有限元插值计算打下了良好的基础。
On applying the diffraction theory and with the aid of the reciprocity theorem, an approximate formula for the radiation field of a slot cut in a metal sheet of finite size is derived.
本文应用绕射理论并借助于互易定理，导出了一个在有限尺寸金属平板上割出的一条裂缝的近似辐射埸公式。
However, any real crystal always has a finite size.
但是任何真实晶体的尺寸都是有限的。
Based on the HH neuron model, we investigate the effects of patch temperature on the spontaneous action potentials for finite size of membrane patch.
在前面介绍模型的基础上，本文考虑了温度对有限大小膜面积的神经元系统的影响。
It is obtained by numerical calculation that the mode spot size at the mirrors in a resonator with arbitrary configuration is always a finite value as long as radial gain variations are present.
只要出现径向增益变化，通过数值计算得到任意结构的谐振腔腔镜处的光斑尺寸总是有限值。
Under these circumstances there would always be some finite depth of surface hardening regardless of size.
在这种情况下不管零件尺寸如何，其表面总归有一定深度被硬化。
The classical discrete logarithm problem in finite prime fields can be solved in an expected time which is subexponential in the group size via the socalled index calculus method.
传统的基于有限域的离散对数问题因为可以使用指标计算方法而存在亚指数时间算法求解。
The computer experimental scheme to simulate the plasma particle is de-signed. The simulation result shows the effects of finite—size particle and time difference on dispersion relation.
文中设计了等离子体粒子模拟的计算机模拟实验方案，验证了有限大小粒子和时间差分方法引起的对于色散关系的偏离；
According to wave motion theory, finite element mesh size satisfying the needs of engineering calculating precision is relevant to the upper limit of frequency range of random (response) problems.
根据波动理论，满足随机响应工程计算精度要求的有限元网格大小与待求高频随机响应问题的频率范围上限有关。
The size effect of finite structure has been analyzed. The structure thickness and length effect on stress intensity factor have been analyzed in detail.
文中以中心穿透裂纹板结构为例细致地讨论了有限结构的有限尺寸效应，讨论了结构厚度结构长度对应力强度因子的影响。
When the domain of interpretation is finite and its size is a fixed positive integer, the satisfiability problem in the first-order logic can be reduced to SAT.
当解释的论域是一个固定大小的有限集合时，一阶逻辑公式的可满足性问题可以等价地归约为SAT 问题。
It was shown that the finite size effect on the magnetoelastic buckling of a thin beam-plate is essential.
研究表明，有限尺寸效应是影响板——梁磁弹性稳定性分析精度的主要原因。
Size curves of cocoon filaments can be regarded as non-stationary time series with finite length varying at random.
茧丝纤度曲线的预测研究茧丝纤度曲线可视为是长度有限且随机变动的非平稳时间序列。
Finite element method, in which the continuous elastomers are divided into nodes that connect each other with finite number and size, is the core of CAE technology.
有限元法是把连续的弹性体划分为有限大小的、彼此只在有限个点相连的有限个单元组合体来研究，是现代CAE技术的核心内容。
The effects of mesh size of finite elements and boundary elements on numerical accuracy were also studied.
还研究了有限元和边界元网格尺寸对计算精度的影响。
So, it has been an important research direction in the world to study how to simplify the structure exactly, chose a suitable finite element style and mesh size to get a precise hot spot stress value.
因此，选择何种有限元程序，如何简化结构，采用哪种单元类型和网格细化方式进行分析，保证热点应力的精度己成为一个重要的研究方向。
So, it has been an important research direction in the world to study how to simplify the structure exactly, chose a suitable finite element style and mesh size to get a precise hot spot stress value.
因此，选择何种有限元程序，如何简化结构，采用哪种单元类型和网格细化方式进行分析，保证热点应力的精度己成为一个重要的研究方向。
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