spectrum of a matrix 中文意思是什麼
spectrum of a matrix
解釋
陣的譜-
In this paper we studied the intercalation behavior of a new host matrix of x = l of zirconium proline - n - mtthyl phosphonate - phosphate ( a - zpmpp ), we successfully introduced butylamine heptylamine decanylamine ethanolamine diethylenetriamine ( 2e3a ) triethyleneteriamine ( 3e4a ) and tetrathyleneoctamine ( 4e5a ) guest molecules into a - zpmpp interlayer space. the intercalation complex were characterized by ir spectrum x - ray diffraction and tg - dsc thermal analysis, it has been found that a - zpmpp possess different intercalation behavior from a - zrp. because of the bulk of proline group, it affected the amount of guest molecule, mono - alkylamine form mono - molecule layer in the interlayer space, butylamine, decanylamine and ethanolamine form mono - layer and the carbon chain form 90 degree ordered assembly with the zirconium floor of a - zpmpp, every host molecule absorbed 0. 5 guest molecule
本文報道首次以x ? l的層狀（脯氨酸十一甲基磷酸一磷酸氫）鉛（ a zpmpp ）為主體底物，成功地將客體分子：正丁胺、正慶胺、正癸胺、乙醇胺、二乙烯三股、三乙烯四胺、四乙烯五股插入層狀化合物a zpmpp的層間，通過紅外光譜（ ir ） 、 x射線衍射（ xrd ） 、熱重分析（ tg dsc ）等手段對插層復合物進行結構表徵，結果表明： x ? l的層狀（脯氨酸件一甲基磷酸一磷酸氫）鉛具有不同於無機磷酸結的插層性能，由於層間脯氨酸基團的體積較大，影響客體分子進入的數量，胺分子在層板間取單層排列。 -
Based on the propagation law of the cross - spectral density function in the space - frequency domain, the properties of polychromatic vector gsm beams through a paraxial optical abcd system are studied. the analytical propagation expressions for the cross - spectral density matrix of vector gsm beams passing through a paraxial optical abcd system are derived, which permits us to study the propagation properties of vector gsm beams, including the propagation - induced polarization changes, effect of the spectrum bandwidth and irradiance distributions in a unique way. there are some applications of the theoretical results
基於空間一頻率域中交叉譜密度函數的傳輸理論，研究了多色矢量gsm光束通過abcd光學系統傳輸時偏振特性的變化規律，首次推出了矢量高斯一謝爾模刑fgsm ）光束通過近軸abcd光學系統交叉譜密度矩陣的傳輸公式，並對矢量gsm光束傳輸中偏振的變化、譜寬的影響和強度的分佈等進行了統一研究。 -
Expanding the system ' s hamiltonian to a real symmetric matrix in an appropriate orthogonal basis vector and then diagonalizing it, we get the energy spectrum of the system and calculate the energy level spacing distribution function and the spectral rigidity. then we study the statistical character of the energy spectrum under the changing of magnetic field intension and find that the system ' s motion transfers from regular to chaos gradually
將系統的哈密頓量在一個適當的正交基矢下展開並對角化，得到系統的能譜，分別計算系統能譜的能級間距分佈函數和譜剛度，研究了該系統量子能譜的統計特徵隨磁感應強度大小的改變而表現出的系統運動由規則到混沌的漸進變化。 -
There are mainly two type of algorithms used for spatial spectrum estimation : one is those based on bayesian maximum likelihood method, like the ml ( maximum likelihood ) algorithm, maximum entropy method and etc., the others are based on the spatial decomposition or projection of correlation matrix, this kind of algorithm include vector characterization method, music ( multiple signal classification ) algorithm, projection matrix method, etc. music is a classical spatial spectrum estimation algorithm that has a super high resolution and is widely used today, however, it cannot estimate doa of signals that are correlated
空間譜估計的演算法大致分兩大類:一是基於極大似然估計和最大后驗概率估計統計理論的演算法，包括:極大似然估計法（ ml ） 、最大熵法等;另一類是基於對協方差矩陣進行子空間分解或投影的演算法，包括:矢量特徵法、多重信號分類法（ music ） 、投影矩陣法等。其中， music法是一種經典的空間譜估計主流演算法，具有超強的分辨性能，但它無法實現對相干信號進行測向分辨。 -
A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula
作者用高階微分方程化一階微分方程組的方法，獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式，證明了ar （ p ）的是一個更高維的冪級數的線性過程，從而，說明了ar （ p ）關于序列依概率成立的充要條件是：該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。 -
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。 -
In additive white gaussian noise ( awgn ) channel, we introduce a method for synchronization of symbol timing and frequency for two - dimensional spread spectrum system without prior knowledge of spread spectrum matrix
摘要針對加性白高斯噪聲通道，考慮未知二維擴頻矩陣的條件下，提出了一種二維擴頻系統的時頻同步方法。 -
To expose the statistical properties of the degenerated spectrum, with the aid of the random matrix theory, a possible form of the nns distribution function of the degenerate spectrum was proposed by providing a solution in terms of the same - degeneracy case
利用隨機矩陣理論，通過對一特殊情形的簡並譜展開研究，得到了簡並譜一種可能的最小相鄰間距nns分佈函數。 -
First of all, the algorithm base on the boundary problem of helmholtz equation and finite - difference technique, calculate the field in “ cold ” cavity and disperse the helmholtz equation, as a result of the formula : ax = x. secondly, according to the eigenvalue of matrix theory and applied iterative methods, eigenmode adopt a numerical approach which allows the improved chebyshev polynomial iteration which based on the power method to extract the isolated eigenmode in the spectrum. finally, we resolve the problem of compatibility in software and insert the eigenmode module into the chipic which will have the function of eigenmode analysis
具體的說: （ 1 ）首先以電磁理論中的亥姆霍茲方程的邊值問題理論和計算電磁學中的有限差分法為基礎，計算冷腔中的場分佈並離散亥姆霍茲方程，得到標準的本徵值問題: ax = x ; （ 2 ）然後根據矩陣理論中的eigenvalue問題和數值計算中的迭代方法，採用改進后的chebyshev多項式，在power迭代法的基礎上對ax = x進行多項式迭代，實現對頻譜中孤立本徵模的萃取; （ 3 ）最後將用fortran語言編制的eigenmode模塊加入到chipic軟體中，解決了eigenmode模塊與chipic主代碼的兼容問題，從而實現了chipic軟體的模式分析功能。 -
The so made silica gel glass has quasi - inkbottle shape and median pore size distribution of 5 - 8nm which is suitable for the doping and protection of mpc molecules. mpc molecules in matrix always have a strong tendency to dimerization that can badly affect the linear absorption spectrum, causing quench of dye fluorescence and change the yield of photochemical processes. it is a vital problem that worth more attention
鑒于酞普的二聚化是影響其非線性性能和光限幅效應的重要因素，應用紫外一可見吸收光譜（ uv / vis ）測試技術，跟蹤研究了復合體系在溶膠一凝膠轉變過程中酞蓄二聚化的產生機理、主要影響因素和變化規律，提出了可能有效抑制二聚的技術途徑。
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