解的唯一性 的英文怎麼說
中文拼音 [jiědewěiyīxìng]
解的唯一性
英文
uniqueness of solution-
First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given
由於缺陷的識別是一類典型的反問題,因而首先從時諧電磁maxwell方程和helmholz方程出發,具體地闡述了求解正散射問題的有關方法,包括各種(夾雜)邊界條件下的數值解法,就解的存在性唯一性給予了肯定的回答;隨后對逆散射問題的理論作了簡短的回顧,包括解的唯一性以及非線性不適定積分方程的處理等;然後對均勻介質和非均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示函數方法,鑒于近場數據獲得的重要性,對近場測試時邊界識別的方法給予了相應的證明,並且實現了數值模擬。The result indicates that the nonlinear elastic model is appropriate for better foundation condition, while the viscoelastic model is appropriate for worse foundation condition. according to the uniqueness of back analysis solution, it is put forward a method for the back analysis of layer - wise and section - wise iteratively. which is showed advantage by the calculation result
分析表明,非線性彈性模型一般適合地基較好的情況,而對于地基較差的情況宜採用粘彈性模型;針對反演計算解的唯一性問題,提出了分層分部反演迭代的計算方法,計算表明,該方法具有一定的優越性。( 3 ) by the optimization experiments on several kinds of standard test functions, the calculation of off - line performances and the comparisons to another optimization algorithm, the effectiveness and the superiority of iga are got. ( 4 ) multi - object strategy that consists of the joints " best compliance critic and the location critic is proposed to uniquely determine the inverse kinamatics solution in planar redundant manipulator trajectory planning. next, by the introdu
3 、通過對兒類標準測試函數的優化實驗、優化離線性能的計算和與其他優化方法尋優效果的對比表明了的有效性和優越性; 4 、針對冗餘度機械手的軌跡規劃問題,提出了融合關節最佳柔順性準則和定位控制準則的多目標策略,從而在理論上保證了運動學逆解的唯一性。The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation, as well as other geometry problem, such as minimal surface in hyperbolic space. in particular, the existence of solution with high order regularity is very important to investigate geometry problems. one would like to know under what conditions the solution of such equations are as smooth as the given data
通過構造輔助邊值問題,建立了各種能量不等式,並利用這些先驗估計,以及banach - saks定理得到了h ~ 1弱解存在性;利用退化橢圓型方程弱解與強解的一致性和已知的先驗估計,還得到h ~ 1弱解的唯一性。Due to the poor regularity of solutions at large time. ( 0. 2. 1 ) can not defined in classical way. i, e., the defi nition of the derivatives at any points has no sense. so it may be rather difficult in the research of classical way and must be defined in weak sense. in order to guarantee the uniqueness of weak solutions, a condition ( entropy inequality ) must be need to pick out " good " solution ( entropy solutions )
由於大時間范圍內守恆律( 0 . 1 . 1 )的解表現為很差的正則性,它不能在古典意義下定義,即在每一點下的導數無意義,使得古典辦法研究遇到很大困難,它只能在弱意義下定義弱解,但往往這種弱解不唯一,需要某條件限制確保解的唯一性,在數學上稱為熵條件,滿足該條件的弱解稱為熵解。Some basic concepts and results are stated. in chapter 2, a kind of quasi - linear iterative equations has been discussed. existence, uniqueness and stability of the continuous solutions of the equation are proved by using fixed point theorem
在本文的第二章中對一類擬線性迭代方程進行了討論,運用函數空間上的不動點定理給出了方程連續解的存在性,並進一步研究了解的唯一性和穩定性。The mathematical model of new type aircraft arresting system is established in detail, and the unique solution of differential equation and the stability and the motion and control characteristics of the system are proved and analyzed
詳細建立了新型飛機攔阻系統的數學模型,並對微分方程解的唯一性、系統的穩定性及運動特性、控制特性進行了證明、分析。The approach extends the parallel factor ( parafac ) analysis model from the common data - domain and subspace multiple invariance sensor array ( mi - sap ) formulations to the cumulant one, and forms three - way arrays by using the cumulant matrices got from array outputs, and analyzes the uniqueness of low - rank decomposition of the three - way arrays, then jointly estimates the ranges, frequencies and doas from the matrices via low - rank decomposition
該演算法將通常在數據和子空間域應用的平行因子分析模型擴展至高階累積量域,利用陣元輸出計算的高階累積量矩陣構造三面陣,分析了該三面陣低秩分解的唯一性,並從分解得到的多個矩陣中聯合估計信源距離、頻率及到達角。Uniqueness theorems for solutions of differential equations
關于微分方程解的唯一性The uniqueness of optimal solutions for a degenerate linear programming
退化線性規劃最優解的唯一性Uniqueness of very weak solutions to a class of non - linear elliptic equations
一類擬線性橢圓方程的很弱解的唯一性Uniqueness of positive solutions of a class of quasilinear ordinary differential equations
一類擬線性常微分方程正解的唯一性Uniqueness of solutions of oblique derivative problems for second order mixed equations with degenerate rank o
的二階混合型方程斜微商問題解的唯一性The uniqueness and stability of almost periodic solution for delay - differential equations with infinite delays
具有無窮時滯的時滯微分方程概周期解的唯一性與穩定性But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained
關於弱解的唯一性和古典解的整體存在性尚未得到證明。This paper tries to prove the uniqueness of weak solution to the initial - boundary problem of a pseudo - parabolic equation
摘要征明了一個偽拋物型方程初邊值問題弱解的唯一性。Uniqueness and stability of solution to the linear transient eddy current electromagnetic field problem for determining solution
線性瞬態渦流電磁場定解問題解的唯一性和穩定性For a long time, we have been keeping on the study on the uniqueness of the solution of equation, the conditions of convergence and error estimates for various iterative methods
長期以來人們從未放棄過對方程解的唯一性和各種迭代法的收斂性的條件及誤差估計的研究。Studying the uniqueness of the solution of the equation ( 1 ) and the convergence of newton ' s method, we often discuss lipschitz condition which is satisfied by f " or f "
( 2 )弱條件下的newton迭代和變形halley迭代在研究方程( l )的解的唯一性和newton法的收斂性時,我們常常對fl或fl 『滿足的lipschitz條件進行討論We apply this condition and elementary properties of fourier series to prove a uniqueness theorem for periodic solutions of a class of second order nonlinear ordinary differential systems
我們應用這個條件和傅立葉級數的基本性質證明了二階非線性常微系統周期解的唯一性定理。分享友人