矩定理 的英文怎麼說
中文拼音 [jǔdìnglǐ]
矩定理
英文
moment theorem-
In this thesis, we study some open problems and conjectures about the linear complementarity problem. it consists of the next three aspects : firstly, we study murthys " open problem whether the augmented matrix is a q0 - matrix for an arbitary square matrix a, provide an affirmable answer to this problem, obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the graves algorithm can be used to solve linear complementarity problem with bisymmetry po - matrices ; secondly, we study murthys " conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study pang ' s conjecture, obtain two conditions when r0 - matrices and q - matrices are equivelent and some properties about e0 q - matrices ; lastly, we give a counterexample to prove danao ' s conjecture that if a is a po - matrix, a e " a p1 * is false, point out some mistakes of murthys in [ 20 ], obtain when n = 2 or 3, a e " a p1 *, i. e. the condition of theorem 3. 2 of [ 25 ] that a p0 can be deleted and obtain a e " a is an almost e - matrix if a is a co - matrix or column sufficient matrix
本文分為三個部分，主要研究了線性互補問題的幾個相關的公開問題以及猜想： （ 1 ）研究了murthy等在[ 2 ]中提出的公開問題，即對任意的矩陣a ，其擴充矩陣是否為q _ 0 -矩陣，給出了肯定的回答，得到充分矩陣的擴充矩陣是充分矩陣，並討論了graves演算法，證明了若a是雙對稱的p _ 0 -矩陣時， lcp （ q ， a ）可由graves演算法給出； （ 2 ）研究了murthy等在[ 6 ]中提出關於半正定矩陣的猜想，給出了半正定矩陣的一些充分條件，並研究了pang ~ -猜想，得到了只r _ 0 -矩陣與q -矩陣的二個等價條件，以及e _ 0 q -矩陣的一些性質； （ 3 ）研究了danao在[ 25 ]中提出的danao猜想，即，若a為p _ 0 -矩陣，則，我們給出了反例證明了此猜想當n 4時不成立，指出了murthy等在[ 20 ]中的一些錯誤，得到n = 2 ， 3時，即[ 25 ]中定理3 . 2中a p _ 0的條件可以去掉。The signal we named it fundamental wave ; according to the fundamental wave, coefficients of the fundamental wave can be lined in a sequence. when the unique of the dissolve of the fundamental wave can be confirmed, the sequence of the coefficients can be regarded as one of representation forms of the signal itself ; theory of dissolvable signal shows that when order of the matrix of fundamental wave sampling equals to number of fundamental waves, the sequence of the sampling values from sampling points must be matched one by one with the sequence of the coefficients of fundamental waves. the sampling composed by sequences of the sampling values must be full sampling ; the relevant deductions of the theory of dissolvable signal shows that when sampling the signal, sampling frequency must be lager than the ratio of the number of fundamental waves to the occupation time of the fundamental waves ; to band - limited signals, when the fundamental wave is a sine signal, the results from the relevant deductions of theory of dissolvable signal is coherent to the classic sampling theory
本文通過分析認為，當信號集中的任一信號可表示為一系列已知信號的線性代數和時，信號集便構成可分解信號集，已知信號稱為基波信號；對可分解信號而言，基波系數構成一序列，當對指定的基波信號集分解唯一確定時，系數序列本身便是信號的一個表示；可分解信號采樣定理指出當基波樣值矩陣的秩等於基波數時，則由采樣點處的采樣樣構成的樣值序列必與基波系數序列一一對應，從而由該樣值序列構成的采樣必為完全采樣；可分解信號采樣定理中的推論指出，對信號集進行采樣，采樣頻率必須大於其信號分解的基波數與其對應時長之比；對有限帶寬信號，若基波信號為正弦信號時，由可分解信號采樣定理推論給出的結論與經典采樣定理一致。Theorem 1. 3. 3 5 is an a - idempotent semiring, then 5 is a normal idem - potent semiring, if and only if s is a strong semilattice idempotent semiring of rectangular idempotent semirings
定理j設s是人一冪等半環，則s是正規冪等半環，當且僅當s是矩形冪等半環的強半格冪等半環Matrix proofs of several theorems in linear algebra are given
摘要給出了線性代數中幾個定理的矩陣證法。The basic theorem of interval - valued fuzzy matric
矩陣的基本定理The principle of superposition is often used as the main postulate, from which the reciprocal theorems and hence the symmetry of the flexibility matrices are proven.
疊加原理經常用來作為主要的假設，由此互等定理以及柔度矩陣的對稱性得到證明。Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array, a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the euler ' s theorem and the coordinate transform is introduced. the dynamic equations of minehunting sonar array with the state matrix form are founded by settling the dynamic models with the vector form. so it offers theory foundation for analyzing the dynamic characteristic and designing robust control
由於獵雷艇作為動基座的存在和聲納基陣的框架結構特點，提出了以艇體坐標系為運動坐標系，運用變形的歐拉定理和坐標變換建立聲納基陣相對自身坐標系的旋轉運動方程的建模思想；將所建立的矢量形式的動力學模型展開整理，獲得了狀態矩陣形式的獵雷聲納基陣動力學方程，為系統動力學模型的實用化奠定了基礎。For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation
對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。Several theorems of self - conjugate matrices over the stronger p - division rings
除環上自共軛矩陣的幾個定理In this paper, through treating lines reciprocal transformation to a matrix, cogradiently reach the eigenvalue and eigenvector of a matrix, to solve the question treat a eigenvalue under without parameters, and given some advanced theorems
摘要通過對矩陣進行行列互逆變換，同步求出矩陣特徵值及特徵向量，解決了不帶參數求特徵值問題，並給出一些新定理。The expression of magnetic moment of an electrified body is similar to that of moment of inertia of a body with various density
摘要帶電體定軸轉動的磁矩計算與剛體定軸轉動的轉動慣量相仿，平行軸定理有助於磁矩計算。In this paper, the judgement of existing solution to circulant linear equations set and the solutions under all kinds of circumstances are presented by polynomial matrix theory
摘要利用多項式矩陣理論，給出了循環線性方程組有解的判定並求出各種情況下的解。Property of jacobi matrix and theorem of geometric integral transformation
矩陣的性質與幾何體上積分變換定理The orientation path and residual network were defined, the new maximum flow algorithm in network with both node and edge capacity confined was put forward based on feasible flow decompose theorem and by way of the search in artificial intelligence
定義了有向路徑和殘量網路的概念，依據可行流分解定理，引入人工智慧中搜索的方法，以鄰接矩陣為網路數據存儲結構，提出條件約束下的網路最大流新演算法。Based on the extended boundary condition method and addition theorem of vector spherical functions, this paper study the light scattering problems of aggregate spheres from the angles of a single sphere, two - sphere system and multi - spheres system
本文基於擴展邊界條件法及矢量球諧函數的加法定理，通過嚴格求解maxwell方程所得到的散射傳輸矩陣，對與入射波波長可比擬的群聚球形粒子的散射問題進行了研究。In the second chapter, the nonlinear optical properties are described from both macroscopic and microscopic views, at the same time, giving the definitions of the linear and nonlinear polarizabilities. then, the explicit expressions of the linear and nonlinear polarizabilities are obtained by using quantum mechanical perturbation theory and density matrix formalism, respectively
第二章非線性光學性質，首先分別從宏觀和微觀兩個角度討論了極化強度和電偶極矩與外加光電場強度之間的關系，同時給出了線性極化率和非線性超極化率的定義，然後分別運用含時微擾理論和密度矩陣理論求解了分子體系的線性極化率和非線性超極化率。A strong limit theorem for fair game and the approach of conditional moment generating function
關于公平賭博的一個強極限定理與條件矩母函數方法By using conditional moment generating functions and differentiation of measures on a net, some limit theorems and a class of deviation theorems of multivariate function sequences of arbitrary random variables ralated to the conditional expectations are obtained
本論文利用條件矩母函數和網微分法，得到任意隨機變量多元函數序列相對于條件期望的偏差定理和極限定理。According to the law of mass moment of inertia and of momentum moment, the conditions for the complete dynamic balance of rotor inertial forces and moment of inertia in the rotary piston vacuum pump are put forward, with the rotor movement in single cylinder analyzed as basis
根據質量矩定理和動量矩定理對單缸滑閥真空泵的轉子運動狀況進行了分析，分別提出了轉子慣性力和慣性力矩完全動平衡的條件。Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper. the main research contents and achievements are as follow : firstly, we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions, then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties. the existence of a basis of splines with minimal compact supports is demonstrated, and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix
本文主要研究定義在多項式和雙曲函數構成的空間上的樣條曲線，其內容和完成結果如下:一、生成由多項式和雙曲函數構成的空間上的一組典範式ect （ extendedcompletechebychevian ）組及其對偶， ，證明非均勻代數雙曲b樣條空間的維數定理和零點定理，直接通過解塊矩陣線性方程組得到具有最小緊支撐的非均勻代數雙曲b樣條函數，進而構造非均勻代數雙曲b樣條曲線，還具體給出低階的表示分享友人