singular equation 中文意思是什麼
singular equation
解釋
奇異方程-
Nature of the singular point of plane poincare mapping that is established by equation ( 1 ) is analyzed. relationship between the three parameters and homoclinic orbit and heteroclinic orbit of the hamilton system corresponding to this sort of equation is discussed. the adequate and essential condition of the existing homoclinic orbit or heteroclinic orbit for the hamilton system is presented
分析了方程（ 1 ）建立的平面poincare映射的奇點性質，討論了此類方程對應的hamilton系統的同宿軌道和異宿軌道與三個參數o 、夕、屍的關系，給出了hamilton系統存在同宿軌道或異宿軌道的充分必要條件。 -
The classic difference scheme of euler is employed to solve the forward problem, and the truncated singular value decomposition is used to solve the ill - conditioned system of algebraic equation
用古典歐拉差分格式求解正問題，用截斷奇異值分解法求解病態方程組。 -
Based on the equilibrium equation, the states of self - stress and the modes of inextensional mechanisms are solved by the singular value decomposition method. and the equilibrium equation can be solved by the generalized inverse method. the force density method is proposed
在建立空間桿件體系平衡方程的基礎上，採用廣義逆方法求解各種情況下的平衡方程，採用奇異值分解方法求解索桿的機構位移模態和自應力模態，並推導了力密度方法的基本公式。 -
As we know, there exist some defects in solving normal equation system. in order to overcome the shortcomings, the singular - value decomposition method and its applications in direct solving the ill - conditioning observation equation are studied
最後針對法方程解算方法存在的缺點，主要研究了矩陣的奇異值分解技術在直接解算病態觀測方程中的應用。 -
By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well
研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下，利用漸近分析方法和對角化技巧，證得解的存在性並給出解的漸近展開式及其餘項估計 -
The discussing process follows the steps below : first, suppose the system ( 1 ) has only one finite singular point ( 0, 0 ). then we can assume b50 = 0, which special direction is determined by equation g ( 0 ) - 0, introduce poincare transformation to discuss infinite singular points, according to the coefficient conditions, list all possible infinite singular points and special directions, judging their type, drawing out all kinds of phase portraits
本文主要內容為：一、假設系統（ 1 ）只有唯一的有限遠奇點（ 0 ， 0 ） ，則不妨設b _ （ 50 ） = 0 ，其特殊方向由示性方程g （ ） = 0給出，引進poincare變換研究無窮遠奇點，再根據各定理中的系數條件，列出系統所有可能的無窮遠奇點和特殊方向，並判斷其類型，由此畫出系統的各種可能的全局相圖。 -
On the solution of a kind of nonlinear singular integral equation
一種非線性奇異積分方程的解法 -
A class of the singular integral equation on several complex variables
一類多復變量的奇異積分方程 -
The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation. finally, on the basis of the stability of the cauchy type integral, we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly
在第一部分中，我們主要討論了cauchy奇異積分在積分曲線發生光滑擾動時的穩定性問題；而在第二部分中，我們把第一部分的結果應用到cauchy奇異積分方程，導出了其關于積分曲線攝動的穩定性的研究及其一些結果；最後，在第三部分中，我們在研究cauchy型積分關于積分曲線的穩定性問題的基礎上，探討了riemann邊值問題的穩定性問題。 -
We study the singular perturbation of boundary value problem for a class of higher order ordinary differential equation, the solution is shown to exhibit double layer behavior
摘要研究一類高階微分方程兩點邊值問題的奇攝動，揭示了其解分別在兩端點呈現雙重邊界層的性質。 -
The main job of this research is : ( 1 ) analyze the operation situation of power system during faults ; pay attention to the traveling wave on the three - phase transmission line ; study the equation of voltage on three - phase transmission line with impedance capacitance coupling between phases ; contact the voltage on any point with the fault voltage, study the singularity of the voltage signal in fault point, and make it to be the base of the new fault detection method ; ( 2 ) apply the singularity detection theory based on wavelet analysis to the power system faults detection, give a complementary criterion to current fault detection criterion, study how to select the basic wavelet, how to filter noise, how to detect the singular point or fault point, and finally give a total solution. the simulations prove it to be a quick, correct and effective fault detection method
本文的主要工作有： （ 1 ）分析電力系統在發生故障時的運行狀態，尤其對三相傳輸線上的故障行波進行了分析和研究，推導了考慮相間耦合的三相傳輸線電壓方程，並將傳輸線上任一點的電壓與故障點電壓建立起聯系，得出了傳輸線上電壓信號在故障點處的奇異性，並以此作為構造新的故障檢測演算法的理論基礎； （ 2 ）將基於小波變換的信號奇異性檢測理論運用於電力系統故障檢測中，針對目前相關研究的不足，提出了電力系統故障檢測判據的補充判據，通過對基本小波的選擇、除噪措施、信號奇異點也即故障點的檢測方法所作的分析，給出了一個可行的解決方案；模擬研究表明：這是一個快速、準確、有效的故障檢測演算法。 -
In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples
第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。 -
The system identification method is presented for backcalculating the dielectric property and thickness of pavement structures. the method of singular value decomposition is put forward to diagnose the ill - conditioned governing equation and the problem of finding solution to ill - conditioned governing equation is successfully resolved. the parameter adjustment arithmetic with high accuracy, which is based on precise theory and can be converged rapidly, is established
提出了路面結構層介電特性及其厚度反演分析的系統識別方法，將奇異值分解技術應用於控制方程的病態診斷和求解，有效地解決了控制方程病態時的求解問題，建立了理論嚴謹、收斂快、精度高的模型參數調整演算法，並開發了路面結構層材料介電特性及其厚度反演分析軟體sidthk 。 -
A variation equation problem on singular stochastic control
奇異型隨機控制中的一個變分方程問題 -
And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique
） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。 -
First, we take the analysis of phase - plane on the invariant plane for the perturbed and unperturbed systems. next, we applied the singular perturbation theory to establish the persistence of invariant manifolds, as well as the " fiber represent at iones " of these manifolds. finally, by using the global integrable theory of the unperturbed system and melnikov measurement we obtai n the existence of homoclinic orbits for the cqs equation under the generalized parameters conditions
首先，我們在常值平面上對擾動和未擾動系統進行相平面分析；然後利用奇異擾動理論討論不變流形的保持性，並給出不變流形的纖維表示；藉助于未擾動系統的可積結構和melnikov測度，我們得到了三次?五次非線性schr （ -
Abstract : an approximate solution of a class of singular integral equation is given, the error and the possibility of the solution is analysed and proved
文摘:給出了一類奇異積分方程的一種近似解法，並對其誤差進行了分析估計，同時驗證了該方法的可行性 -
The calculation of nearly singular integrals about points close to boundary in boundary integral equation
邊界積分方程中近邊界點幾乎奇異積分的計算 -
The second is to assure a multiple - parameter matrix characteristic equation has no nonzero pure imaginary roots. the key of this part is to verify that the structured singular value of a one - unknown matrix function is not equal to one. this work can be accomplished by a frequency sweeping test method
前者的核心是判定某常矩陣的結構奇異值不等於1 ，這只需計算常矩陣的結構奇異值；後者的核心是判定某個以頻率為變元的矩陣的結構奇異值不等於1 ，這一問題由頻率掃描測試法解決。 -
By assigning a " split ratio value " on the singular node, the singular equation in the network can be preserved
另外為避免移除奇異方程式所造成的問題，在本研究中提出兩種解決之方法。
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