解集

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。

Finally, the equivalence properties between Boolean matrix representation and algebra representation of attribute reduction are proved.

建立了布尔矩阵与逻辑方程组的解和决策表中的属性集之间的关系；然后在此基础上给出了决策表中的粗糙集理论的布尔矩阵表示；最后证明了属性约简在布尔矩阵和代数两种不同表示下是等价的。

The results show that this class of equation possesses at least one solution or one positive solution if the "height" of its nonlinear item is appropriate in a bounded set.

结果表明，只要非线性项在某个有界集上的"高度"是适当的，这类方程至少有一个解或者正解。

The main results show that the class of equations has at least one solution or positive solution provided the "height" of nonlinear tern is appropriate on a bounded set.

主要结论表明只要非线性项在某个有界集上的"高度"是适当的，这类方程至少有1个解或者正解。

This paper provide some results regarding upper semi continuity as well as lower semi continuity of cone efficient,and weakly cone efficient solution s in vector optimization with decision cone is perturbed.

研究了当控制锥受扰动时，具有集值映射向量优化问题的锥有效解和锥弱有效解的上、下半连续

Calculation results show that the solar heating system could enhance desorption temperature,improve performance of continuou...

计算结果表明，该太阳能集热系统可有效地提高吸附剂解吸温度及单位集热面积的制冷功率，实现太阳能的高效利用。

The main problem studied in this thesis are properties of positive solutions to a semi-linear parabolic system with non-local nonlinear sources and null Dirichlet boundary conditions.

中文摘要：本论文主要研究了具有非局部源的半线性抛物系统并附加Dirichlet零边值的解的性质，得到了系统古典解的渐近性分析：blow-up速率、blow-up集、边界层估计等问题。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

The poly-generation process,which combined the CFB combustion and coal pyrolysis is one of the effective coal utilization means in our country.This process is based on CFB,and combined combustion with pyrolysis.It make the combined produce of heat,electricity,gas and tar in a system become reality.This paper summarized the research situation about solid heat carrier coal pyrolysis based on CFB.

循环流化床燃烧/煤热解多联供技术是我国煤资源的有效利用方式之一，该工艺过程是以CFB为基础，集燃烧和热解工艺于一体，实现了热、电、气、油在一套系统中的联合生产，同时对基于CFB的固体热载体煤热解工艺的研究状况进行了综述。

The method is based on analytical results characterizing the solutions to a class of optimization problems that determine support hyperplanes of the response set.

在此基础上，利用凸集的性质提出了一种求解响应集的支撑超平面法，它是利用响应集的支撑超平面将问题转化为求解一类优化问题的解。

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