正交性

Unlike Fourier bases, wavelet bases have the property of compact support.

与Fourier正交基不同的是，小波正交基具有局域性好的特性，这为分离观测资料中的局部噪音，提供了一个十分有效的工具。

The evaluation was made on the basis of the characteristics of conglutination and dissolution, then the best formula was determined finally.

根据正交实验的结果制备的药膜，在粘附性、溶解性方面均符合要求，且在成膜性、膜外观方面均较理想

In the third, we hit the variational principle, orthogonal decomposition, orthonormal base, Riesz representation theorem and the conjugate operators in the Hilbert space.

第三部分，Hilbert空间的变分原理、正交分解、完备标准正交系的存在性、Riesz表现定理和共扼算子等。

In the section, the definitions and main properties of the operator have been discussed systematically, the operational rules of one dimensional PGOPO have been strictly established based on the theory of convergence in the mean square, error and convergence analysis of approximation by PGOPO has been discussed.

系统地论述了分段广义正交多项式算子的定义、性质，并为一维PGOPO算子严格地建立一套在均方收敛意义下的代数运算规则，给出了分段广义正交多项式算子作用下的误差及收敛性分析结果。

Finally, the grafting polymerization of textile materials initiated by microwave low temperature plasma was conducted. Knitted cotton fabric was grafted by AMPS first, then knitted cotton and terylene/cotton fabrics were grafted with AMPS/NIPA dualistic monomers respectively. By means of grafting polymerization, the P dualisticintelligent hydrogel was added to textile.The influences of the factors on add-on, such as treatment time and power of plasma, concentrations of crosslinking agent and total monomers, proportion of AMPS, polymerizing temperature and time etc, was studied fully. The optimal conditions of grafting polymerization initiated by microwave low temperature plasma were determined by orthogonal design, variance analysis and mathematical statistics method so as to analyze the main influencing factors. Then swelling/deswelling kinetics, temperature-sensitivity and pH-sensitivity of grafted textile were studied. The performance indexes of hydrostatic pressure, moisture permeability and bursting strength of the knitted cotton and terylene/cotton fabrics before and after grafting were compared and evaluated synthetically.

此后用微波低温等离子体引发纺织材料的接枝聚合反应，分别研究了棉针织物接枝AMPS和棉、涤棉混纺针织物接枝AMPS/NIPA二元单体，使智能凝胶以接枝的方式添加到纺织材料上；详细探讨了微波低温等离子体处理功率和时间、总单体浓度、AMPS单体浓度、交联剂浓度及聚合反应温度和时间等因素对增重率的影响，通过正交设计、方差分析及数理统计对各影响因子进行分析，确定了微波低温等离子体引发接枝聚合的最佳工艺条件；对接枝纺织材料的失水-吸水动力学、温度敏感性、pH敏感性等进行了研究；对接枝前后棉、涤棉混纺针织物的静水压、透湿性和顶破强力等服用性能指标进行了对比和综合评价。

The symmetric property and compact support are incompatible for orthogonal wavelets in function space, whether the properties of discrete orthogonal wavelets can be compatible is still unknown.

函数空间中正交小波的对称性和紧支性不能兼容，而离散空间中正交小波的性质能否兼容仍然是一个未知的问题。

Based on the dynamic stress optic law and by making use of the stress values from strain measurements and BEM calculation, the history of birefringent fringe orders are calculated, and compared with the result of dynamic orthotropic photoelasticity.

把动态应变测量推算出的应力分量以及时域边界元计算出的应力分量分别代入正交异性动态应力－光性定律，得到随时间变化的双折射条纹级数历程，将其与正交异性动态光弹性实验的结果进行比较。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

Again determines the low temperature phosphorization formula through the orthogonal experiment: The zinc oxide is 8.00g/L, the phosphoric acid is 0.07mol/L, the nitric acid is 0.06mol/L, the nickelous nitrate is the 1.00g/L

再通过正交实验确定中低温磷化配方：氧化锌为8.00g/L，磷酸为0.07mol/L，硝酸为0.06mol/L，，硝酸镍为1.00g/L。关键字：磷化，硫酸铜点滴，耐蚀性，正交试验

Again determines the low temperature phosphorization formula through the orthogonal experiment: The zinc oxide is 8.00g/L, the phosphoric acid is 0.07mol/L, the nitric acid is 0.06mol/L, the nickelous nitrate is the 1.00g/L Keyword: Phosphorization, cupric sulfate intravenous drip, orthogonal experiment

再通过正交实验确定中低温磷化配方：氧化锌为8.00g/L，磷酸为0.07mol/L，硝酸为0.06mol/L，，硝酸镍为1.00g/L。关键字：磷化，硫酸铜点滴，耐蚀性，正交试验以上就是啊，请大侠多多帮忙翻译啊

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。