symmetry matrix 中文意思是什麼
symmetry matrix
解釋
對稱矩陣-
The property of symmetry can also be used to save a part of the computational effort required for matrix inversion or for a solution of equations.
對稱的特性也可用來節省矩陣求逆中或求解方程中所需要的一部分計算量。 -
Symmetry and matrix representation of octagonal point groups in quasicrystal
準晶體中八方晶系點群的對稱性與矩陣表示 -
The balanced multiwavelet was studied. for low - pass matrix filter p ( ), the orthogonal matrix r was selected to ensure the constant signal as a characteristic signal of balanced low - pass matrix filter rtp ( ) r, the corresponding balanced high - pass matrix filter is q ( ) r or rtq ( ) ) r which maintain the orthogonality and symmetry or orthogonality only respectively. as an application, the optfr - multiwavelet constructed by jiang was balanced and applied to image denoising and fusion
研究了多小波的平衡處理，對低通濾波器p （ ）一般選擇平衡器為正交矩陣r ，使得常數信號成為平衡后的低通濾波器r ~ tp （ ） r的特徵信號，若要保持矩陣濾波器的正交性和對稱性，可選擇平衡后的高通濾波器為q （ ） r ；若只保持多小波的正交性，可選擇高通濾波器為r ~ tq （ ） r 。 -
The spectral analysis of non - orthogonal functions cannot be obtained by orthogonal integration method. only the spectral analysis of some particular non - orthogonal functions can be realized by integral transformation. thus, the concept of reflection matrix is proposed and the mirror symmetry of spectral analysis for non - orthogonal function is revealed. any element functions whose reflection matrix can be obtained possesses its inverse element function. the spectral vector corresponding to an element function possesses its inverse spectral vector corresponding to the inverse element function. by reflection matrix the mapping relation of element function pair and spectral vector pair can be established. spectral analysis of non - orthogonal functions can be obtained with this symmetry by using the integration method as in the case of orthogonal functions, instead of calculating the inverse matrix as usual. so a convenient and practical method for spectral analysis of non - orthogonal functions is offered
非正交函數不能利用正交積分來實現譜分解.僅有某些特殊的非正交函數可以通過積分變換實現譜分解.本文提出了反射陣的概念，揭示了非正交函數譜分析的鏡像對稱性.任何能夠建立起反射陣的元函數存在著它的逆元函數，並且任何基於該元函數的譜向量同時也存在著基於逆元函數的逆譜向量.元函數對與譜向量對通過反射陣建立映射關系.利用這種對稱性，非正交函數可以象正交函數一樣使用積分方法獲得譜分解結果，而不必使用求解逆陣的方法，從而為非正交函數的譜分解提供了便捷、實用的方法 -
Supposed to be axial symmetry, the problem is put into the cylindrical coordinate, and through the laplace - hankel transformation, the equations are turn into differentia equations of constant coefficient. in the analyzing progress, dynamic transfer matrix is used t
本文利用matlab中fzzzy具箱編程，通過有限的實驗數據和輸入專家知識對該系統進行訓練，可以解訣砂土液化的預測難題，算例的檢測結果表明其效果較好。 -
Hi the aspect of symmetry analyzing to the hopfield model neural network with hebbian learning, we study on the dynamical behavior of the state space under the action of isometric transformation group g = z2 ? n, and prove the invariant property of the energy orientation ? / / " ) of the state space under the action of g. we find that the symmetry relationship of the network is sx - sw = sh when the active function of the neuron is odd, where sx is the symmetry of the patterns set x under hebbian learning rule, sh is the symmetry of the network and sw is the symmetry of the weight matrix w of the network
） s _ n為手段，研究了網路狀態空間在群g作用下各點的運動情況，證明了群g作用下的不變性。證明了當神經元的激活函數f為奇函數時， hebb法則下存儲樣本集x的對稱性s _ x 、網路對稱性s _ h以及連接矩陣對稱性s _ w三者之間滿足s _ x = s _ w = s _ h的關系；同時，我們還證明了：網路穩定態集vf同一s _ h軌道中的兩個穩定態的動力學行為（能量和吸引域大小）相同；兩個等距網路h和h 1 = g ? h ， （ ? ） g （ -
By analyzing and studying the dynamic characteristic of the minehunting sonar array, the author points out that the minehunting sonar array posture control system is a non - linear and intense coupling dynamic system. according to characteristics of the common inertia matrix, the author testifies that the inertia matrix of the minehunting sonar array has many dynamic characteristics such as the limited boundary quality, the symmetry quality and the positive definite quality
對獵雷聲納基陣的動力學特性進行分析研究，指出了獵雷聲納基陣控制系統為非線性、強耦合的動力學系統；從一般的慣量矩陣特性入手，證明了獵雷聲納基陣的慣量矩陣具有有界性、對稱性及正定性等動力學特性。 -
By adopting fta ( fault tree analysis ) and minimal path sets theory, the fault information stream analysis of spc - 33 digital governor is made, and from the point of system the ft is constructed. and the fault model with logic matrix in mirror symmetry has been built
本文運用fta故障樹分析方法和最小路集方法，對spc - 33電子調速器進行故障信息流分析，從系統化角度構築ft ，並建立鏡像對稱的故障邏輯矩陣模型。 -
In mmse based detection algorithms it ’ s inevitable to do the matrix inversion operation, and we have found by analysis that such matrices are all positive definition hermite matrices. so, in chapter three, by renumbers the looped variables we induce a new matrix inversion algorithm and based on the symmetry of the data we further
由於基於mmse的檢測演算法中會不可避免地遇到矩陣求逆運算，經過分析發現此類矩陣均為正定hermite矩陣，根據此類矩陣的特點引入了變量循環重新編號法求逆演算法，並且根據運算過程中數據的對稱性提出了進一步的簡化方案。 -
This paper suggests that the integral of the state equation is evaluated directly through the exponential matrix based on the pim, thus several series solutions are obtained. utilizing the symmetry of matrices and the idea of substructure, the computational precision and efficiency of the pim are improved
本文深入研究精細積分及動力方程演算法，基於指數矩陣計算、 pade逼近理論，在時域上對非線性動力狀態方程直接積分求解，構建若干系統響應求解格式，並分析了演算法精度、效率；通過矩陣變換，利用矩陣對稱性、子結構等方法改進精細積分計算效率。 -
In this dissertation, with the aid of many types of constructive transformations and symbolic computation, some topics in nonlinear waves and integrable system are studied, including exact solutions, painleve integrability, backlund transformation, darboux transformation, symmetry ( similarity reduction ), conditional symmetry, lax integrable hierarchy, liouville integrable n - hamilton structure, constraint flow, involutive system, lax representation, r - matrix, separation of variables and integrable couplings. chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly, the basic theories of c - d pair and c - d integrable system are presented
本文以構造性的變換及符號計算為工具，來研究非線性波和可積系統中的一些問題：精確解（如孤子解、周期解、有理解、 dromion解及compacton解等） 、 panileve可積性、 backlund變換、 darboux變換、對稱（相似約化） 、條件對稱、 lax可積族、 liouville可積的n - hamilton結構、約束流、對合系統、 lax表示、 r -矩陣、變量分離及可積的耦合系統 -
It also can use to reduce the computing freedoms of the weight matrix in associative memory designing by applying the symmetry relations of the network. regarding the artificial neural network as a dynamical system with symmetry will bring the corresponding geometric approach
利用這種對稱性關系，既可以揭示「學習就是尋找樣本集對稱性」這一學習的內涵，又可以在聯想記憶網路的分析與設計中減小連接權計算的復雜度。 -
Some properties of adjoint matrix are discussed. the properties are symmetry, antisymmetry, positive definite, positive semi - definite, orthogonal and characteristic value
摘要討論了伴隨矩陣在對稱、反對稱、正定、半正定、正交、相似和特徵值等方面的性質。 -
We define three kinds of generalized pascal matrices ( left, right and symmetry ), and discuss the their relations and the cholesky factorial of generalized symmetry pascal matrix. finally, a close relation is obtained between the diagonal of generalized right pascal matrix and a class of recurrence sequences
定義三類（左、右、對稱）廣義pascal矩陣，討論了它們的相互聯系以及廣義對稱pascal矩陣的cholesky分解，並且得到廣義右pascal矩陣的對角化與一類遞歸序列具有緊密的聯系。 -
The symmetry of cartan matrix
矩陣的對稱性 -
The general formulation of pti, the substructure method of pti, and the proof of symmetry property of matrix exponential in pti are proposed
接著給出基於常規時間差分的求湃演算法，並討論熱傳導靈敏度分析的半解析方法。 -
In chapter two, we study the necessary and sufficient condition for the solvability of matix equation axb = con anti - symmetry matrices, when the solvability holds, the general form of the solution is given, further more, we study the solvability of matrix equation axb + cyd = e on anti - symmetry matrices
第二章，研究了矩陣方程axb = c在反對稱矩陣類中有解的充分必要條件，給出了解存在條件下的一般形式，進一步研究了矩陣方程axb + cyd = e在反對稱矩陣類上的求解問題。 -
Second, we try to find another kind of realization of yangian so that we can study the symmetry of this system based on a different point of view. we find that there is yangian symmetry in dirac oscillator, as a result, we are able to shift one degenerate state to anther in the same energy level. then we construct the corresponding transfer matrix to determine the rtt integrability of dirac oscillator
然後，本文尋找dirac諧振子的另外一種yangian實現形式，從另一個角度研究該體系的對稱性，從而表明dirac諧振子這里這種實現下具有yangian對稱性，這樣，我們可以實現在同一個能級的不同簡並態之間的躍遷，再構造出相應的整體轉移矩陣，確定dirac諧振子在rtt意義下的量子可積性的問題。
分享友人