查询词典 inverse circular function

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题，概述了广义逆矩阵，广义逆保持问题的研究现状，在对线性映射的基础知识，广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上，深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式，继而研究了保对称矩阵群逆的线性算子形式。

To the nonlinear plants, the shortage of normal inverse control method for nonlinear plants is discussed in chapter 6. ANFIS is effectively applied to nonlinear inverse dynamic control system. A project about how to design nonlinear inverse dynamic controller is also discussed here. It effectively avoid the inherent imperfects in the normal inverse control methods. These methods show a great promise.

对于非线性被控对象，本文在第六章分析了通常非线性逆控制方法的不足，并将自适应模糊神经推理系统用于非线性逆动态控制中，讨论了ANFIS非线性逆动态控制器的设计方案，有效地克服了在常规逆控制方法中所固有的缺陷，在非线性控制中很有应用前途。

Basing on the Graf′s addition theorem, two expessions, interior and exterior expression, are deduced and the suitable problems for them are discussed. It has been found that the interior expression is the main point for sovling the scattering problem of circular inclusion in half-space. It also has been found that the exterior expression is the key for the scattering problem of circular arc canyon and circular arc alluvial valley, and is one of the main points for scattering problem of circular arc hill as well.

从Graf原有加法公式出发，本文给出了其内域型和外域型两种表达形式并讨论了这两种表达的适用范围，同时指出：内域型表达是求解半空间内含夹塞区出平面散射问题的要点，而外域型表达是解决任意圆弧型凹陷地形和任意圆弧型沉积盆地出平面散射问题中求解难点的关键，同时也是克服任意圆弧型凸起地形出平面散射问题求解困难的要点之一。

Detailed description has been given individually to the abnormal colours, lineament and circular structure and image features on the multi-geographycal information composite image. We have studied the ore control effect of circular and lineament structure to the multimetal ore, and come to the point that the Xianghualing region is a complex ore control area by circular and lineament structure.Therefore, we build a remote sensing imag model for ore field in the region. Within the circular structure, the northwest lineament crosses the northweast lineament and forms frames that control the metal ore distribution. According to the features of the found deposits and their coherent image, we conclude that there are two symbols for ore looking.

对多源地学信息复合处理图像新发现的色异常、线性和环形构造的分布、影像特征做了较详细的叙述；并探讨了该区的环形和线性构造对多金属矿的控矿作用，认为香花岭地区是环形和线形构造的复合控矿，在此基础上建立了香花岭矿田遥感影像模式：在环形构造内，发育北西向和北东向线性构造组合，交叉成"井"字型格式，控制金属矿的分布。

The main results can beexpressed as follows:(1)Based on πtheory, some affected factors about wave forces are given, and therelation between affected factors and wave forces is analysised by experimentalresults.(2) The distribution of wave press at representative time and reflection nature aregiven and their variety charactes are discussed by experimental results.(3)By comparing the wave forces of quarter-circular breakwater and semi-circularbreakwater under the same wave conditions,some approximately wave forcesexpressions of quarter-circular breakwater are given.(4)Based on VOF method to trace water free surface,solve numerical value ofRANS equation,and get the distributions of flow field and wave press ofquarter-circular breakwater at the same time during one period,the mechanism ofwave force is also discussed elementarily.(5) Based on the result that RANS equation of numerical simulation agree wellwith experimental results,a new approach to study hydraulic natures of quarter-circular breakwater is provided.

其主要结论如下：一、通过π定理，确定影响波浪力的无因次参变量，根据试验结果对其影响因素进行分析；二、基于模型试验，给出典型时刻圆弧面防波堤的同步波压分布和反射特性，讨论它们的变化特点；三、通过相同条件下圆弧面防波堤与半圆型防波堤两种堤型试验波浪力的比较，给出了圆弧面防波堤波浪力的近似方法；四、利用VOF法追踪自由水面，数值求解RANS方程，得到圆弧堤堤体周围的流场和压力场，初步分析了速度涡流与压力场的相互影响；五、对比数值分析与试验结果，探讨数值方法研究圆弧面防波堤水力特性的可行性，提供新的研究途径

In this part some countries and areas such as the United States, Canada, Japan, South Korea, European Union, and China are purposedly selected to be studied about the legislative purposes of circular economy, and also give a subjective evaluation after comparing and analyzing. The contrast and analysis lead to this conclusion that the legislative goals of circular economy in western countries give better expression to the concepts of circular economy, while in China's legislation of circular economy, too much stress is laid on the resources and economic interest of the environment, more attention is paid to exploiting and utilizing natural resources, meanwhile the environmental functions and values of natural resources are usually ignored.

该部分有针对性地选择了美国、加拿大、日本、韩国、欧盟和中国等国家和地区的循环经济立法目的进行了考察，通过对比分析，本文认为，西方国家在循环经济立法目的设计上比较好地体现了循环经济理念，我国循环经济立法在目的性规定方面，表现为过分注重环境的资源属性及其经济价值，强调如何合理开发利用资源，而往往忽视资源的环境功能及其环境价值。

Furthermore, the performance of half right circular corner filleted flexure hinge was analyzed, including the effect of its geometric parameters on its performance. Compared with symmetrical right circular corner filleted flexure hinge, the compliance and sensitivity to the load of half right circular corner filleted flexure hinge were better than those of symmetric right circular corner filleted flexure hinge. The above results provide a new idea for the applications of flexure hinge, which is used in compact structure and structure with large displacement.

同时对单边直圆导角复合柔性铰链的性能进行分析，分析了结构参数对其柔度性能的影响，通过与双边直圆导角复合柔性铰链比较，得出了单边直圆导角复合柔性铰链的转动能力、对载荷的敏感性均优于双边直圆导角复合柔性铰链，为柔性铰链在结构紧凑、大位移场合的工程应用提供了新的思路。

Business Scope: 1, ONLY licensing carbide circular saw blades, the products manufactured using imported materials, as compared with the same price products to extend the service life of more than 10%; applicable to all kinds of wood (including solid wood, particleboard, MDF and various MDF), aluminum alloy, rigid plastic, acrylic and other materials cutting; 2, the Company may in accordance with customers cutting materials and cutting of different specifications to choose custom-made special carbide circular saw blades; 3, In order to fully utilize resources, reduce costs, the company offers carbide tooth circular saw blades for the overall processing services; 4, the company's carbide circular saw blades used to provide full-service customers, in view of: a, blade matrix used for a period of time will produce deformation; b, saw in the use of the course will be part of tooth loss; c, saw the use of a period of time would not sharp blade; above phenomenon will not only greatly reduce blade life, at the same time will affect the use of effect.

ONLY牌硬质合金圆锯片，该产品全部采用进口材料制造，与同价格产品相比使用寿命延长10%以上；适用于各种木材（包括实木、刨花板、中纤板及各种密度板）、铝合金、硬质塑料、压克力等材料的切割；2、本公司可根据客户切割材料和切削方式的不同选择订做特殊规格硬质合金圆锯片；3、为充分利用资源、降低成本，本公司提供硬质合金圆锯片整体换齿加工服务；4、本公司对硬质合金圆锯片使用客户提供全方位服务，针对：a、锯片基体使用一段时间后会产生变形；b、锯片在使用过程中会出现部分齿脱落；c、锯片使用一段时间后刀刃会不锋利；以上现象出现，不仅会大大降低锯片使用寿命，同时会影响使用效果。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。