在数

And block entropy, Renyi entropy,nonadditive entropy also grow with system size, derivative of logarithm of fidelity diverge at critical point.

Fibonacci量子伊辛链和均匀量子伊辛链一样，协作参量的导数在相变点的峰值随系统增大作对数发散；而无序量子伊辛链的协作参量的导数在相变点的峰值不随系统的增大而增大。

For the one-dimensional p-Laplacian with indefinite weights, four sequences of periodic and anti-periodic eigenvalues are given by introducing the rotation number function, and these eigenvalues are the endpoints of the preimage intervals of the rotation number function at nonnegative integers.

本文以带变号权函数和带变号势函数的一维p-Laplacian为基本模型，系统地阐述了特征值的旋转数方法、带正权Dirichlet特征值的最佳估计、特征值在正则和奇异渐近半线性方程的可解性中的应用、Fucik谱的旋转数方法以及Fucik谱在周期解的扭转性和多解性中的应用。

In the brain mechanism researches of Numerical Processing, Subitizing, Counting and SNARC Effect all presented that there is intense relationship between numerical processing and spatial coding, which strongly activates the IPS, considered as numerical processing main field.

在数量认知加工的脑机制研究中，顿识、数数、SNARC效应都表明了数字加工与空间编码有密切关系，在大脑的顶内沟附近皮层有较强的激活，有关研究表明这是数量化专门区。

In practical terms, an octonion is simply an octuple of real numbers

定义在八元数上的加法和乘法运算推广了在四元数上的加法和乘法运算。

Its derivative at is called the partial derivative of with respect to at and is denoted by .

它在的导数叫做在关于的偏导数，记作。

During the Voronoi tessellation on a planar point set composed of massive points, a technical scheme of dynamic data-exchange between hard disk data file and internal memory structural array designed so, that the limitation of computer internal memory storage need not be considered and the construction of massive Voronoi cells as many as hundreds thousant in number was effectively implemented.

在对"海量"点组成的平面点集进行Voronoi划分时，设计"硬盘数据文件－内存结构体数组"之间动态的数据交互方案，避开计算机内存的限制，有效实现了数十万Voronoi晶胞集合体的构造，存储Voronoi图几何信息的数据最后以文本文件的形式输出，方便Voronoi图在工程实际中的应用与二次开发。

127 Chapter 1 The History and Future of Computers 3.1.2 Positional Notation The exponential powers of the positions are critical for understanding numbers in other numbering systems.

位的指数幂在理解其他计数制中的数时是个关键。基数小数位的指数幂在理解其他计数制中的数时是个关键。

8 Chapter 3 Number Systems and Boolean Algebra 3.1.2 Positional Notation The exponential powers of the positions are critical for understanding numbers in other numbering systems.

位的指数幂在理解其他计数制中的数时是个关键。基数小数位的指数幂在理解其他计数制中的数时是个关键。

Based on the capacity of affirming quantity, younger infants are sensitive to number which is the jumping-off point for them acquiring rich preverbal quantitative knowledge. In the early of preschool period, children construct many types of schemas, later they attain the concept of quantity conservation. Besides this conceptual knowledge, children's cognitive skills such as counting also develop rapidly.

基于天赋的"快速确认"数量的能力，较小的婴儿对数字就很敏感，以此为起点他们获得了丰富的前语言的数量知识；在幼儿早期建构了多种数量图式，到幼儿期末形成了数量守恒概念；除了这些概念性知识之外，儿童的数数等认知技能在幼儿到小学初期也获得了发展。

Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.

最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量，运用环面上欧拉数为-1的圆丛的单个不可约SU（2）表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式（定理2.4.1），这一结果补充了P。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失