查询词典 condition number

The thickness and fractional dimension number of the liquid-vapor interface are simulated by selecting Argon as working substance and using Lennard-Jones potential in the rectangle simulation box under the condition of 2048 simulated particles in the NVT canonical.

本文应用分子动力学模拟方法进行了汽液界面厚度和分维数的模拟研究。

From probability consideration, the curing theory of A〓+A〓-type and A〓+ B〓-type polymerization involving initiation stepis proposed. The sol-gel distribution equations which can describethe behaviour of the conversions in the curing process are givenand the gelation condition, the number fractional distribution andits invariant property are obtained.

针对含引发机制的〓型和〓型缩聚反应体系的固化问题，利用概率分析的方法进行了系统的理论研究，给出了这两类反应体系的溶胶凝胶分配方程，从而揭示了体系在固化过程中的变化规律，得到了这两类反应体系的凝胶化条件、数量分布函数及其不变性。

Rational number wavelet filter can be constructed by reducing the order of vanishing moments of wavelet function, but the value of free variable that appears in design equations should be selected in a certain range, because the wavelet construction must meet Daubechies compact-support condition.

有理系数小波滤波器的设计可以通过降低小波函数消失矩阶数来实现，但设计方程中出现的自由变量的取值需要在一定的范围之内，因为需要满足Daubechies紧支集条件。

According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一，该文对四次域Q进行了讨论；利用Galois扩张、域的判别式及整基等一些理论，得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m，n是2个不同的无平方因子有理整数)。

Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

进一步本文还通过特征函数的组合关系所满足的Riccati方程，得到了该等谱方程族的无穷多个守恒律；为简便起见，本文以广义TD族为例，由它的2×2 Lenard算子对的性质证明了此算子对为Hamilton算子对，这说明广义TD族是广义Hamilton系统且具有Bi-Hamilton结构和Multi-Hamilton结构；进而利用它的依赖于谱参数的一般守恒密度的积分在约束条件下求泛函导数的方法，得到了广义TD族的Hamilton函数与守恒密度之间的对应关系，这些性质对于由本文提出的2×2谱问题所导出的等谱孤子族仍成立；另外此谱问题与AKNS系统存在着规范变换，位势之间有广义Miura变换，而孤子方程之间也满足一定的等价关系。

Since hold water, faddish immerse oneself in the research and development at P2P technology core all the time, in NAT penetrable, resource attempers, distributed node all mastered a large number of patent skills on the core technology such as fixed position algorithm, technology of order programme of long-term P2P video is accumulated, rose to transcend the technical barrier that video of long, high-definition clear broadcasts when short amortize for faddish vertical stroke, created a condition to put high-definition video on advertisement.

自成立以来，风行一直埋头于P2P技术核心的研发，在NAT穿透、资源调度、分布式节点定位算法等核心技术上均掌握了大量专利技术，长期P2P视频点播技术积累，为风行竖起了超短缓冲时长、高清晰视频播放的技术壁垒，为投放高清视频广告创造了条件。

It is impossible to estimate the exact number of homeless people because the condition of homelessness vary.

由于无家可归者的具体情况有所不同，很难估计他们的人数到底有多少。

The language of uncertainty has three main categories:(1) words such as probably, possibly, surely, which denote a single subjective probability and are potentially quantifiable;(2) words like many, often, soon, which are also quantifiable but denote not so much a condition of uncertainty as a quantity imprecisely known;(3) words like fat, rich, drunk, which can not be reduced to any accepted number because they are given different values by different people.

模糊语言有三大类：（1）"很可能"、"有可能"、"肯定会"之类的词。这类词表示个人主观认为的可能性，这些词在发言人的心目中是有一定的潜在的数量的；（2）"很多"、"经常"、"很快"之类的词表示的是模糊的状况倒不如说表达的是知道得不够确切的数量；（3）"肥胖"、"富有"、"酒醉"之类的词，这类词不能精确到大家都能同意接受的数字，因为不同的人对这些词都会有不同的评价。

The language of uncertainty has three main categories:(1) words such as probably, possibly, surely, which denote a single subjective probability and are potentially quantifiable;(2) words like many, often, soon, which are also quantifiable but denote not so much a condition of uncertainty as a quantity imprecisely known:(3) words like fat, rich, drunk, which can not be reduced to any accepted number because they are given different values by different people.

不确定的语言主要可分三类：（1）像probably，possibly，surely一类的记号，它们表达某一主观的、可以量化的可能性；（2）像many，often，soon一类的词，它们也是可以量化的，但它们表示的与其说是不能肯定的状态，不如说是一个知之不确的数量；（3）像fat，rich，drunk一类的词，它们不能将其转化为任何可接受的数字，因为不同的人赋予它们的量值不同。

The language of uncertainty has three main categories:(1)words such as probably, possibly, surely, which denote a single subjective probability and are potentially quantifiable;(2)words like many, of-ten, goon, which are also quantifiable but denote not so much a condition of uncertainty as a quantity imprecisely known;(3)words like fat, rich, drunk, which can not be reduced to any accepted number because they are given different values by different people.

模糊语言可分为三类：1。表示单一主观意义上可能性的，可能定量的词语，诸如"很可能"、"可能"、"肯定"等词。2。诸如"许多"、"时常"、"不久"等词语，这类词语也可以定量，但所表达的意义与其说是某种不能肯定的状况，不如说是一个知之不确的数量。3。诸如"胖"、"富"、"醉"这类词语，不能精确到人们都认同的数量，只因不同的人有不同的评判标准。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。