singular solution 中文意思是什麼
singular solution
解釋
奇解-
Positive solution of some singular p - laplace equations
方程邊值問題的正解 -
The results show that all solution can determinately exist, which avoids the complicated discussion to singular solution educed from d - h transformation method
結果表明，各關節的運動學逆解唯一，計算簡單，運算量小，特別是對于具有多冗餘度的機器人，此法能夠避免奇異解的討論，提高計算效率。 -
The advent of the internet and the wide availability ofcomputers, scanners and printers make digital data acquisition, exchange and transmission a simple task. however, making digital data accessible to others through networks also creates opportunities for malicious parties to make salable copies of copyrighted content without permission of the content owner. digital watermarking is likely to be a potential solution to this problem. digital watermarking has been proposed as a solution to the problem of copyright protection of multimedia documents in networked environments. it makes possible to embed a watermark ( such as identification data, serials number, text or image etc. ) to multimedia documents allowing copyright protection, secret communication, document authentication and so on. in this paper, we present a new digital image watermarking method based on svd ( singular value decomposition ), and then give some theoretical analysis about the algorithm. extensive experimental results show that this method is much more robust than other methods presented before
隨著計算機和網路技術的飛速發展，數字圖像、音頻和視頻產品愈來愈需要一種有效的版權保護方法，另外通信系統在網路環境下的信息安全問題也日益顯露出來.數字圖像水印技術為上述問題提供了一個潛在的解決方案.所謂水印技術就是將數字、序列號、文字、圖像標志等版權信息嵌入到多媒體數據中，以起到版權保護、秘密通信、數據文件的真偽鑒別和產品標志等作用.本文提出了一種新的基於奇異值分解的數字水印演算法並且對該方法的理論基礎給出分析.實驗結果表明這種方法要比目前提出的流行演算法魯棒 -
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 -
Several models of bonded dissimilar materials with interface edges are calculated. displacement, electrical potential, singular stress fields and singular electrical displacement fields near a singular point are deduced by the eigenfuntion expansion method based on the general solution of the spatial axisymmetric problem of the transversely isotropic piezoelectric media. a generally axisymmetric interface edge of bimaterials with arbitrary interface angle and joining angle is analyzed theoretically by using this method
在此基礎上，對具有任意界面角和結合角的橫觀各向同性雙壓電材料空間軸對稱界面端一般模型的軸對稱變形問題進行了理論分析，給出了該模型界面端的奇異性特徵方程以及界面端附近的位移場、電勢、奇異應力場和奇異電位移場。 -
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 -
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。 -
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 。 -
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。 -
By applying the singular system of campact operator and the method of posteriori choosing determine the regular parameter, we can also prove the convergence of the regularized solution given [ 1 ]
摘要本文利用緊運算元的奇異系統后驗選取正則參數，證明了文[ 1 ]中的改進的正則化解是收斂的。 -
We extend this method to the problem of a domain which boundary is an open arc or an open segment. in this paper, we simulate the singularity of solution in extreme point of open arc or open segment by singular element
本文還把此方法推廣到求解區域邊界是直線段或者開弧段的情況，採用引入奇異邊界單元的方法來模擬解在開邊界端點附近的奇異性。 -
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 singular perturbation solution for a class differential equations with turning points
具有轉向點的一類微分方程的奇異攝動解 -
In this thesis, we present a fast self - adaptive algorithm for fredholm integral equations of the second kind with weakly singular kernels. briefly speaking, we design an algorithm which can determine the correlated parameters such that the corresponding numerical solution has given accuracy
本文考慮核函數有弱奇性的第二類fredholm積分方程的自適應快速數值解法，即事先給定數值解的精度，設計演算法確定相關的參數使得數值解滿足精度要求。 -
Some linear approaches reported recently without postprocessing to fir system identification are discussed. this paper improves the question of the promulgation of error due to estimating middle parameter frequently in other related methods, and presents a direct algorithm of estimating parameter without estimating middle coefficient. through proper mathematic means, for example, singular value decomposition ( svd ) or total - least squares solution ( tls ), this algorithm smoothes the noise and improves effectively the estimation performance
和2階統計量相比，高階統計量不僅能夠有效抑制高斯有色噪聲的影響，而且能夠揭示隨機過程的相位特性，因此，高階統計量是解決非高斯、非最小相位、非因果系統和有色高斯噪聲環境的系統辨識和處理問題的重要分析工具。 -
A class of singular nonlinear parabolic equations was considered, after linearing this equations, the corresponding variational problem was obtained, furthermore the existence and uniqueness of weak solution was proved
摘要考慮一類奇異非線性拋物方程，通過對其右端線性化，得到一個與之相應的變分問題，進而證明其弱解的存在唯一性。 -
Some notes on the differential method and the parameter method and the singular solution
求解一階隱微分方程的微分法與參數法及奇解注記 -
For the interface problems with variable coefficients, it is introduced that a particular finite element method combined with the infinite element method to approach the singular solution in the neighborhood of the singular points, and it is proved that the method possesses the same accuracy as the finite element method to the regular solution
對變系數內邊界問題，介紹了一種特殊的有限元方法。該方法結合了無限元方法，使在奇點附近的奇性解得到好的逼近。證明了該方法具有與有限元方法對正則解相同的精確度。
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