矩陣論的應用 的英文怎麼說
中文拼音 [jǔzhènlúndeyīngyòng]
矩陣論的應用
英文
applications of the theory of matrices- 矩 : 名詞1. (畫直角或正方形、矩形用的曲尺) carpenter's square; square2. (法度; 規則) rules; regulations 3. [物理學] moment
- 陣 : Ⅰ名詞1 (作戰隊伍的行列或組合方式) battle array [formation]: 布陣 deploy the troops in battle fo...
- 論 : 論名詞(記錄孔子及其門徒的言行的「論語」) the analects of confucius
- 的 : 4次方是 The fourth power of 2 is direction
- 應 : 應動詞1 (回答) answer; respond to; echo 2 (滿足要求) comply with; grant 3 (順應; 適應) suit...
- 用 : Ⅰ動詞1 (使用) use; employ; apply 2 (多用於否定: 需要) need 3 (敬辭: 吃; 喝) eat; drink Ⅱ名...
- 矩陣 : [數學] matrix; array
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Then a 16dof rotors system with 2. span, 4. disk and 4. support is modeled in the form of plural ode, considering the unbalance of mass, external damping, nonlinear oil film forces as well as elevation of the bearings
( 4 )針對求復數ode周期解及穩定性分析,討論了復數打靶法和floquet理論的應用問題,證明了復數ode與實數ode對應jacobian和單值矩陣的關系。In the last, the modern control theory and simulink in matlab have been integrated together, and it has been applied in active control of the platform structure elastically supported ; a mechanical model and an equation of motion in state space have been established. based on coc, dynamic response of the platform structure elastically supported has been studied under simple harmonic load ; the influence of different values of weight function to the active control efficiency of the structure has also been discussed
本文還將現代控制理論與matlab的simulink動態模擬軟體包相結合,將其應用於彈性支承平臺結構的主動控制中;建立了彈性支承平臺結構主動控制理論的力學模型和狀態空間內的運動方程;應用經典線性最優控制演算法對彈性支承平臺結構在簡諧荷載作用下的動力響應進行閉環控制;分別從理論和數值計算兩個方面討論了狀態權函數矩陣q和控制權函數矩陣r的不同取值對控制效果的影響。Linear matrix inequality and its applications in control theory
線性矩陣不等式及在控制理論中的應用Based on the perturbation riccati transfer matrix method, the calculating program are developed. the program can be used to the perturbation analysis and the sensitivity analysis of the real and complex, the single and repeated eigenvalues and eigenvectors for lateral vibration of rod and beam structures, especially suitable to the perturbation analysis and the sensitivity analysis of eigenvalues and eigenvectors for rotordynamic systems ; 2. the perturbation riccati transfer matrix method was applied to identify the parameters of the rotor for a boiler supply pump, and the accurate dynamic model of the rotor was archived
該程序可以對桿、梁結構橫向彎曲振動的實數、復數的孤立和重頻特徵值問題進行攝動分析和靈敏度分析,特別是適合於轉子動力學系統特徵值和特徵向量問題的攝動分析和靈敏度分析; 2 、用攝動riccati傳遞矩陣方法解決了某電站鍋爐給水泵轉子的參數識別及動力模型修改的問題,並給出了該種型號的給水泵轉子的更準確的力學模型,為進一步的轉子動力學分析與設計奠定了可靠基礎; 3 、給出了攝動理論在相關領域如隨機特徵值分析、隨機振動響應分析、可靠性分析、靈敏度分析、優化設計以及參數識別中的應用公式。In chapter four, the importance of anti - jamming performance of communication system evaluation is explained firstly. next three fuzzy cluster algorithms such as fuzzy equivalent matrix ( fem ) and fuzzy - c means ( fcm ) methods are proposed for evaluation of anti - jamming communication system. on the bases of fuzzy cluster, the fuzzy pattern recognition application is introduced in communication system
第四章則採用模糊聚類的方法對通信系統的綜合抗干擾性能進行了評估,介紹了包括模糊等價矩陣、模糊c -均值聚類等三種模糊聚類方法的基本原理,在模糊聚類的基礎上,討論了模糊識別在通信中的應用,進一步建立了抗干擾的指標體系。Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered
本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識,並以頻譜理論作為主要研究工具,對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究,給出了廣半bent函數定義,並探討了廣半bent函數的密碼學性質;給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件;討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系,探討了它們的密碼學性質;給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法,並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上;利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法,還給出了從已有的p值k階擬廣義bent函數出發,遞歸構造變元個數更多的p值k階擬廣義bent函數的方法;初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用;給出了一類布爾函數walsh譜的分解式,並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造,特殊情形下為k階擬bent函數;利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵,並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。The author ' s work gives new way, which is beneficial to real time interaction and can efficiently reduce computing time as well as data storage amount. these algorithms can find good use in numerical machining, robotics, form - position tolerance and computer graphics. ( 3 ) degree reduction for nurbs curves and surfaces by applying the theory of the best uniform approximation of chebyshev polynomials and the explicit matrix representation of nurbs curves, this thesis centers on the research of the explicit nearly best approximation of multi - degree reduction of nurbs curves
以上關于等距曲線的幾何逼近與代數逼近的演算法改革了當前國際圖形界只能對基曲線沿法矢方向平移定距離的點作近似逼近的固定模式,創造了利於交互操作,能有效地減少計算量及數據存儲量的新方法,可在數控加工、浙江大學碩士學位論文機器人、形位公差學、計算機圖形學中獲得很好的應用( 3 ) nurbs曲線曲面降階應用nurbs曲線的顯式矩陣表示及chebyshev多項式逼近理論,以實現nurbs曲線顯式一次性降多階的近似最佳逼近為目標進行了研究The aim of this paper is to study the applications of grobner bases in finding the minimal polynomial of a given matrix and its inverse if it is nonsingular and to discuss selfdualities over a polynomial ring
) bner基理論在求矩陣極小多項式,判定矩陣可逆性和求逆矩陣等方面的應用,並討論了多項式環的分次自對偶問題。A polarimetric sar combines both advantage of measuring full complex scattering matrix for each resolution cell in a scene and producing two - dimensional high resolution images, and is thus playing a more and more important role in gathering the detailed information regarding the geometric and electric structures of surfaces and covers for application in both civil and military areas
極化合成孔徑雷達( sar )具有可以測量場景中每個分辨單元的全極化散射矩陣以及產生二維高分辨力圖像的兩大優點,因此無論在民用和軍用的採集地表或地面覆蓋物的物理和電磁結構信息的應用中起著越來越重要的作用。In this paper, based on analyzing the matrix displacement method and the transfer matrix method, the author combined them to form a new method, which called matrix mixed method, and then used this method to calculate the internal force and displacement of skew bridges
本文在分析了矩陣位移法和傳遞矩陣法的理論基礎上,將二者組合而成矩陣混合法,並應用於斜交格柵結構的內力與變形分析計算中。The partial ordering of the matrices is facous on the matrix theory, many mathematicians have been engaged in studying the partial ordering of matrix such as kinds of partial ordering and its application
矩陣的偏序是當前矩陣論研究的一個熱點,國內外許多學者從事矩陣偏序的研究,他們研究各種類型的矩陣偏序,並應用到數理統計等學科中。The subject is related and has applications to many different branches of pure and applied science such as operator theory, functional analysis, c " - algebras, banach algebras, matrix norms, inequalities, numerical analysis, perturbation theory, matrix polynomials, systems theory, quantum physics, etc. in recent years, the quadratic numerical range, one of the most important generalizations of the numerical range, was put forward in the course of people studying the spectral theory of the block operator matrix to the need of the development of some branches mentioned above
對它們的研究涉及到了基礎數學及應用數學許多不同的分支,諸如運算元理論,泛函分析, c ~ * -代數, banach代數,矩陣范數,不等式,數值分析,擾動性理論,矩陣多項式,系統論,量子物理等等,並且在這些分支上面得到了廣泛的應用。近年來,為了上述某些數學分支發展的需要,人們在研究分塊運算元矩陣譜理論的過程中引入了數值域的一個重要推廣:二次數值域。Firstly, the paper introduces the development and application of computer graphics & image technique, discusses the principle and method of cg and digital image processing, such as matrix of the graphic transformation, homogeneous reference frame, sampling and quantization of the image, file format of the image, template operation, etc. secondly the paper introduces the purpose and method of image enhancement processing, explains the each occasion of those methods such as threshold transformation, smoothing processing, sharpening processing, analyzes and contrasts the processing results of object image. thirdly, the paper introduces the method of mathematics morphologic, edge detection and thinning processing, attains character description of image and character dots of the contour. fourthly, the paper processes the coordinate transformation to character dots and basic splines fitting, imports correlative condition to devise meshing line and meshing track
本文首先介紹了計算機圖形圖像技術的發展與應用情況,對計算機圖形學和數字圖像處理的一些基本理論和方法如圖形變換矩陣、齊次坐標系、圖像采樣和量化、圖像文件格式、模板操作等內容進行了討論:然後對圖像增強處理的目的和方法進行了介紹,對諸如閥值變換、平滑處理、銳化處理等方法的應用場合進行了說明,並對實物圖像的處理結果進行了分析與比較;接下來介紹了數學形態學方法、對增強后的圖像進行邊緣檢測的方法和圖像的特徵描述方法,並獲取輪廓的特徵點:隨后對獲取的特徵點進行坐標變換,並進行b樣條曲線擬合,引入相關條件生成齒輪副的嚙合線及嚙合軌跡:最後引入等值線和區域填充表示方法,並以等值線和區域填充的形式對弧齒錐齒輪嚙合模擬的載荷分佈情況進行了直觀的表示。The application of finite element method ( fem ) to dynamic stability analysis is described emphatically. the lagrangian equations is used to derive the necessary element matrices ( element stiffness matrix, element mass matrix and element geometric stiffness matrix )
著重論述了有限元法在動力穩定問題中的應用,並採用lagrangian方程推導出單元矩陣的表達式(單元剛度矩陣、單元質量矩陣和單元幾何剛度矩陣) 。Using the hankel transform, the state vector equations are reduced to a set of ordinary differential equations. according to the theory of ordinary differential equations and the cayley - hamilton theorem, an analytical solution of the problem is presented in the form of the product of initial state vector and transfer matrix, which is given for the four distinct eigenvalues each. applications of the solutions are discussed
利用hankel變換,將狀態變量方程轉化為一組常微分方程組;進而根據常微分方程組解的理論和cayley - hamilton定理,得到了以狀態變量和傳遞矩陣乘積表示的單層壓電壓磁彈性材料的解析解;並討論了4種不同特徵根的情況以及解的應用。By using matrix theory and the theory of finite fields, we study the applications of projection matrix, permutation matrix, difference matrix, hadamard product, the generalized hadarnard product, kronecker product, kronecker sum and the generalized kronecker sum to construction of orthogonal arrays
本文利用矩陣理論和有限域理論,研究了投影矩陣、置換矩陣、差集矩陣、 hadamard積、廣義的hadamard積、 kronecker積, kronecker和、廣義的kronecker和在構造正交表方面的應用。This paper proves the equivalent of some expressions on the rank of matrices of conditions from the simple formula, thus gets a general knowledge about the essential of this processes, and its application is discussed
摘要本文從一個簡單公式出發,證明了若干矩陣秩的公式的等價性,從而對這類公式的本質有較為完整的認識,並討論了其應用。In this paper, the current states of research about the basic theory of stationary state perturbation method are firstly reviewed, on base of them, and studied some physics issues mainly about hydrogen atom. the stark effect of the energy level ( n = 4 ) of hydrogen atom is calculated and the stark effect of three dimensional hydrogen atom is discussed by the use of the parabolic coordinates, then the perturbative matrix elements for each energy level are given
本文首先綜述了關于定態微擾論基本理論的研究現狀,在此基礎上利用定態微擾論對某些物理問題,主要是對氫原子問題展開了研究,計算了氫原子n = 4能級的斯塔克效應,並利用拋物線坐標法求解了三維氫原子的斯塔克效應,給出了氫原子斯塔克效應中微擾矩陣元的普遍公式。The main research content includes : research of structure array analysis theory ; design of bridge structure analysis program ; function and introduction and test of this program. in addation, as a practice of the above program, this program is used to yichang yiling yangtze river bridge, the calculation results used with this program are compared with the results used with other program
主要研究內容包括:結構矩陣分析理論研究;橋梁結構分析程序設計;程序的功能、使用說明及考核驗證;作為上述程序的實踐,該程序在宜昌夷陵長江大橋中的應用,並與其它結構分析程序計算結果進行對比分析。Two conclusions of matrix rank and its application
矩陣秩的兩個結論及應用分享友人