查询词典 orthogonal basis

The simulation study shows that linear polarization sensitivity of silvered orthogonal twin mirrors is better than that of aluminum or aurum mirrors at the range of 0.4μm～10μm, and the silvered orthogonal twin mirrors have less influence on polarization ratio than those of aluminum and aurum mirrors.

模拟计算结果显示：在0.4μm～10μm波段内，非理想正交镀银反射镜的线偏振灵敏度优于铝、金等正交反射镜，且对光束偏振度的改变最小，因此正交镀银反射镜在高精度偏振遥感探测中值得广泛应用；若把角度误差控制在0.5°内，则正交镀银反射镜的偏振特性对偏振遥感器的辐射度和偏振度影响很小，具有较好的消偏性能。

Based on general orthogonal polynomials and general hybrid orthogonal functions, a new linear, continuous and bounded operator has been proposed in the dissertation. The definitions and properties of PGOPO are given, a various operational rules of the operator have been set up in a systematic way, the convergence of approximate solutions has been discussed. After introducing PGOPO and discussing its main properties and operational rules, a systematic methodology for solving various control problems via PGOPO has been developed.

本文在广义正交多项式及广义混合正交函数的基础上，提出了一种新的线性、连续、有界算子—分段广义正交多项式算子，探讨了这种算子的基本性质，并系统地建立了与该算子有关的各种运算规则及收敛性结论，给出了它在控制理论中的各种应用。

When to get the coefficients of polynomial directly,the ill-conditioned matrix may be produced and effect the precision of result.Using orthogonal polynomial can avoid this problem.This paper introduces 4 orthogonal polynomial.In our discussion,it is proposed to use Chebyshev polynomial and Legendre polynomial,they are easier to sa...

讨论4种常用正交多项式在拟合卫星轨道与时间函数时的适用性；通过计算实例说明利用切比雪夫多项式和勒让德多项式做数据拟合时具有很高的精度；分析得出评定多项式拟合数据精度的适用阶数，实际应用中可降低工作量，提高计算效率；最后讨论同一多项式阶数下不同历元数对拟合结果的影响。

First, a chlorinator was self-designed in this paper, and dichloride of 2-methyl-1-propene was synthesized by 2-methyl-1-propene reacted with chlorine fast in this reactor. By means of the Orthogonal Experiments design and single factor experiments, the influence of several reaction variables on the yield were examined and the optimum reaction conditions under the intervallic operation were obtained, the yield and selectivity of dichloride of 2-methyl-1-prop-ene were more than 65% and 80% respectively. Second, the preparation of 2-methylene-1, 3-propanediol, which dichloride of 2-methyl-1-propene reacted with alkali was investigated. By means of the Orthogonal Experiments design and single factor experiments, the influence of several reaction variables on the yield were examined and the optimum reaction conditions under the intervallic operation were obtained, the conversion of dichloride of 2-methyl-1-propene was 100%. Moreover the preparation of MPO, which 2-methylene-1, 3-propanediol reacted with hydrogen, in presence of Al_2O_3-Pd catalyst, was gotten, and the product was appraised.

本文在氯化反应过程中，自行设计制作出了氯化管式反应器，在该反应器中异丁烯和氯气迅速混合反应生成二氯异丁烯，根据该氯化反应特征利用正交试验和单因素试验考察了有关因素的影响并优化得到了最佳工艺条件，二氯异丁烯的总收率达65％以上，选择性达80％；接着，对二氯异丁烯进行水解反应制得了2-甲烯-1，3-丙二醇，讨论了相关因素对水解反应的影响，并通过正交试验和单因素试验得到了较佳工艺条件，二氯异丁烯的转化率达100％；同时还对制备的2-甲烯-1，3-丙二醇在常压下采用三氧化二铝负载钯催化剂催化加氢得目的产物MPO，并对产品进行了鉴定，从而打通了整个工艺路线。

Since it is difficult to achieve complete orthogonal spread spectrum code sequence, and sometimes impossible to achieve orthogonal in the CDMA system, there were major multiple-access interference, greatly limiting the capacity of the system users.

摘要由于扩频码序列很难实现完全正交，有时甚至是不可能达到正交，在CDMA系统中存在着严重的多址干扰，极大地限制了系统用户容量。

The thesis also draw several conclusions as follows:(1) Orthogonal experiment design method can be viewed as a special case of genetic algorithm, i. e. a genetic algorithm with a fixed initial population, an oriented-mutation operator and one evolution epoch.(2) In terms of running steps, genetic algorithm is more complex than orthogonal experiment design method.

论文首次对正交试验设计法和遗传算法这两种独立发展起来的方法进行比较研究，提出(1)正交试验设计法是遗传算法的一种特例，即是一种初始种群固定的、只使用定向变异算子的、只进化一代的遗传算法；(2)遗传算法产生的优化解优于正交试验设计法产生的优化解，且遗传算法处理交互作用项的效率高于正交试验设计法；(3)遗传算法的步骤比正交试验设计法复杂，所需的试验次数也要多。

The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding classical self-orthogonal linear codes over the Galois field GF(4) under a Hermitian inner product. A classical cyclic code over the field GF(4) is self-orthogonal with respect to the Hermitian inner product iff the generator polynomial of its dual code is a factor of its generator polynomial.

寻找量子稳定子码的问题可以转化为寻找GF(4)上厄米内积自正交的经典线性码的问题；对于GF(4)上的经典循环码，它是厄米内积自正交的，当且仅当它的对偶码的生成多项式是其生成多项式的因子。

Methods According to the factors that affect the stability of emulsion, orthogonal design method was used, glyceryl monostearate and emulsify temperature were selected by variable factors, orthogonal design method was used for experiment.

方法针对影响乳剂稳定性的因素，用正交设计法，以单硬脂酸甘油脂、三乙醇胺为可变因素，选用L4(23)表进行实验。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

Boley and Golub used Gauss quadrature formula to solve the inverse problem, but I used other different methods and thoughts. I obtained a new decomposition form of orthogonal matrix consisted by the unit eigenvectors of Jacobi matrix and found the direct relations between the first row and the orther rows of this orthogonal matrix.

Boley和Golub的算法是用高斯求积公式，而本人另辟蹊径，推出了关于Jacobi矩阵单位特征向量组成的正交阵的一种分解形式，并找到此正交阵第一行和其它行的直接联系，由此避免了通过求特征多项式计算尾主子阵的特征值，得到了新的稳定解法。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。