The methods used in this dissertation include matrix, algebra as well as differential geometry theory.

自七十年代以來(lái)，奇異系統(tǒng)的理論與應(yīng)用問(wèn)題的研究一直吸引著國(guó)內(nèi)外眾多學(xué)者的關(guān)注。

This course is suitable of students who have mastered infinitesimal calculus, linear algebra, set topology, differential geometry of curves and surfaces.

微分流形己成為現(xiàn)代數(shù)學(xué)研究的基本對(duì)象，是聯(lián)系經(jīng)典數(shù)學(xué)和當(dāng)代數(shù)學(xué)文獻(xiàn)的橋梁。

In exterior differentiation, one studies tensors, exterior algebra, tangent bundle, tangent vector fields, one-parameter groups action on a manifold, Frobenius's theorem, tensors fields, exterior differential form, integration on manifolds, Stokes's theorem etc.

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The higher mathematics curriculum is a college engineering course undergraduate course each specialized student's compulsory important basic theory class, through this curriculum study, causes the student to obtain: Circular function calculus study, the space analytic geometry and the vector algebra, the function of many variables calculus study, the infinite series, aspect and so on ordinary differential equation basic concepts, the elementary theory and the fundamental operation skill, and further obtain mathematics knowledge for the study successor curriculum to lay the essential mathematics foundation,During instruction knowledge, must train the student through each teaching link to have the abstract thinking ability, logic reasoning ability, spatial imagination ability gradually and studies independently ability, but also must pay attention specially trains the student to have the quite skilled operational capability and the synthesis utilization studies the knowledge to analyze the question and to solve the question ability.

高等數(shù)學(xué)課程是高等學(xué)校工科本科各專業(yè)學(xué)生的一門必修的重要基礎(chǔ)理論課亚洲狠狠草视频，通過(guò)本課程的學(xué)習(xí)，使學(xué)生獲得：一元函數(shù)微積分學(xué)午夜少妇性私人影院，空間解析幾何與向量代數(shù)99re视频在线这里，多元函數(shù)微積分學(xué)，無(wú)窮級(jí)數(shù)野花社区大全免费观看3超碰，常微分方程等方面的基本概念国产精品区在线、基本理論和基本運(yùn)算技能，為學(xué)習(xí)后繼課程和進(jìn)一步獲得數(shù)學(xué)知識(shí)奠定必要的數(shù)學(xué)基礎(chǔ)久久夜色精品，在傳授知識(shí)的同時(shí)又黄又刺激视频，要通過(guò)各個(gè)教學(xué)環(huán)節(jié)逐步培養(yǎng)學(xué)生具有抽象思維能力、邏輯推理能力欧欧美一级a爱高清成在线看、空間想象能力和自學(xué)能力，還要特別注意培養(yǎng)學(xué)生具有比較熟練的運(yùn)算能力和綜合運(yùn)用所學(xué)知識(shí)去分析問(wèn)題和解決問(wèn)題的能力欧美一级黄片久久久久久久。主要是其中的一些專有名詞查不到欧美一区二区三A片，比如一元函數(shù)等

Remarkable is that this more than a century ago almost directly with the achievement of modern mathematics, the following methods, the general flow is concepts, algebra to geometry closely linked, he and his successors -- Beiertelami, Christopher Tuofeier, Lee Puxici developed differential Zhang volume analysis has gradually become more research on the flow geometry and analysis of an important tool.

令人贊嘆的是，這一個(gè)多世紀(jì)前的成就幾乎直接同現(xiàn)代數(shù)學(xué)中的拓?fù)浞椒ň镁镁镁镁肁级片、一般流形概念国产高清无码强奸视频网址、代?shù)幾何學(xué)等緊密相連一级av一片免费观看高清，他和他的接班人——貝爾特拉米、克里斯托費(fèi)爾插插受不了视频、李普希茨所發(fā)展的微分張量分析逐漸成為研究流形上幾何結(jié)構(gòu)和分析的一個(gè)重要工具国产免费AⅤ片在线观看播。

In §2, four met0hods for solving the integrable second order homogeneous linear ordinary differential equation with variable coefficientsy +py'+Qy=0 are given. Thus, the equation can be solved by means of elementary integrals and algebra.

給出了二階變系數(shù)線性方程y＂＋py＇＋Qy＝0在可積的條件下的幾種不同的求解方程，從而說(shuō)明了這種可積的二階方程不僅能用初等積分法求解而且也可以把它代數(shù)化国产800AV私人在线观看，并使其通解公式化日韩小视频在线。

System is used VB6.0, MATLAB6.5 and MATLAB and Visual Basic OLE interface methods of production, use VB Visual Interface, the real object-oriented, event-driven approach using the structure of high-level programming language, the perfect tool Integrated production and friendly interface and features of MATLAB numerical terms, such as a strong graphic image processing function for the core to achieve the limit, derivative, differential, integral and indefinite integral, vector algebra and analytic geometry of space for the function will be Two aspects of the unique advantages of combining the strong points, to shorten the development cycle and reduce programming difficulty, the current rapidly changing information age is of high practical value.

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At first, the governing differential equations are solved by Fourier transform, then, under consideration of the mixed boundary value condition, a pair of dual integral equations about the vertical vibration are listed which are converted to linear algebra equations by the Jacobi orthogonal polynomial and solved by numerical procedures. Consequently, the dynamic compliance coefficient Cv versus the dimensionless frequency is derived, and the program is compiled.

首先九一国产视频精选，采用Fourier積分變換解析求解了Biot方程亚洲视频无线观看，得到了該動(dòng)力控制方程在Fourier變換域上的一組通解，然后由混合邊值條件建立了地基上基礎(chǔ)豎向振動(dòng)的對(duì)偶積分方程色综合久久91，并應(yīng)用Jacobi正交多項(xiàng)式將其轉(zhuǎn)化為一組線性代數(shù)方程組欧美性大战久久久久久久，通過(guò)求解得到了不同無(wú)量綱頻率下基礎(chǔ)振動(dòng)的動(dòng)力柔度系數(shù)Cv，編制了相應(yīng)的計(jì)算程序亚洲免费一级免费看片。

Based on theory of structural dynamics and differential equation, the requirement of state complete observability is infered related to vibration modes, which is more acceptable for engineering than the counterpart of modern control theory related to rank of matrix in algebra.

這一條件較之現(xiàn)代控制理論中以矩陣秩的形式給出的相應(yīng)條件更易為工程實(shí)際所接受中文字幕视一区二区人妻，對(duì)測(cè)量裝置的位置設(shè)置提供了理論依據(jù)，并指出無(wú)干擾驅(qū)動(dòng)項(xiàng)的經(jīng)典的Luenberger觀測(cè)器對(duì)結(jié)構(gòu)控制是不適宜的。