下界的

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

Apsu underworld ocean; begetter of the skies and earth

阿卜苏，下界的海洋；天与地的生产者

Two methods are presented to calculate the lower bound and upper bound on the bisection width of H-Torus topology.

针对H-Torus拓扑结构，给出两种确定该拓扑结构等分带宽上、下界的方法。

With given circumradius R and inradius r,two fundamental inequalities related to the lower bound of the area A and perimeter p of a convex set K are obtained.

在给定平面凸集K的外径R和内径r的条件下，得到了关于凸集的面积A和周长p的下界的一组不等式，并且证明了当凸集K为双帽体时不等式取得等号。

The wind of the manito blowed again and the several large or small lands floating in the sea appeared.

大神再动荡一下，于是，下界的情形展现了：一块块大小不一的陆地飘荡在海洋之间。

The manito breathed again and several large or small continents floating in the sea .

大神再动荡一下，于是，下界的情形展现了：一块块大小不一的陆地飘荡在海洋之间。

The main study areas of SEIZE include:(1)physical nature of asperity;(2)temporal relationships among stress, strain, and pore fluid pressure throughout the earthquake cycle;(3)controls on the updip and downdip limits of the seismogenic zone of subduction thrusts;(4)nature of tsunamigenic earthquake zones;(5)role of large thrust earthquake in mass flux.

SEIZE的主要研究内容包括：①凸凹体的物理性质；②在地震周期里，应力、应变和孔隙流体成分随时间的变化；③在俯冲逆冲断层上，发震带上界和下界的确定；④引起海啸的发震带的特征；⑤大型逆冲带地震在物质转换过程中所起的作用。

It was to teach them, that the holiest amongst us has but attained so far above his fellows as to discern more clearly the Mercy, which looks down, and repudiate more utterly the phantom of human merit, which would look aspiringly upward.

他要教育他们：我们当中最神圣的人无非比别人高得能够更清楚地分辨俯视下界的仁慈的上帝，能够更彻底地否定一般人翘首企望的人类功绩的幻影。

It was to teach them, that the holiest among us has but attained so far above his fellows as to discern more clearly the Mercy which looks down, and repudiate more utterly the phantom of human merit, which would look aspiringly upward.

他要教育他们：我们当中最神圣的人无非比别人高得能够更清楚地分辨俯视下界的仁慈的上帝，能够更彻底地否定一般人翘首企望的人类功绩的幻影。

Based on a method of portioning customers, the paper first formulates the objective function, and provides and proves the low-bound of objective value; and then designs a heuristic algorithm using some known ideas of capacitated concentrator location problem, and verifies the designed algorithm to be asymptotic optimal simultaneously.

基于一种客户分组方法，首先讨论了目标函数的建立、目标值下界的构造和证明，然后借鉴通讯领域中约束集中器选址问题的一些成熟理论设计了求解所研究问题的启发式算法，同时证明了所设计算法的渐进最优性。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。