matrix ring 中文意思是什麼
matrix ring
解釋
矩陣環-
On necessary and sufficient condition of invertible matrix in integral ring
整數環上矩陣可逆的充要條件 -
The aim of this paper is to given an explicit description of the derivations and automor phisms of a matrix algebra over a commutative ring with identity
摘要決定了含幺可換環上一類矩陣代數的所有導子和所有自同構。 -
The key components in laser gyro is he - ne ring laser, and the reciprocal action theory between light and medium is the base in studying the ring laser, use the lamb half classical theory, and on the base of density matrix theory, the optical brounch equation was established, which described the movement of amplifying medium atom in the ring syntonic cavity, and according to the medium polarize theory the self consistent equations was deduced, which describe the light intensity and phasic of the counter - propagating wave. on the basis of this equations, adopted the simulation software matlab and virtual instrument programming language labwindows / cvi, we can do some simulated experiments in study the phenomenas such as amplify and dispersive characteristic of medium, mode pushing effection, burned hole effection and pattern competition, lock - in of frequency and the characteristic of light intensity and phasic of the counter - propagating wave in laser gyro
激光陀螺的核心部件為he - ne環形激光器，而掌握光與介質的相互作用理論是研究激光器的關鍵，採用拉姆半經典理論為主，在密度矩陣理論的基礎上，推導環形諧振腔中描述he - ne氣體增益介質原子運動的光學布洛赫方程，運用介質極化理論得出描述激光陀螺反向行波的光強、位相所滿足的自洽場方程組，在此基礎上，運用matlab模擬軟體和虛擬儀器編程語言labwindows / cvi ，對激光陀螺中的介質增益色散特性、頻率牽引效應、燒孔效應及模競爭、閉鎖效應及環激光的光強和相位特性進行模擬試驗研究，並且運用全量子理論，對激光工作原理進行分析，得出二能級系統單模輻射場的光子數密度分佈，得出激光場的光子統計分佈，模擬激光場的動態建立過程。 -
So finding the minimal polynomial of a block circulant matrix is transformed into computing the reduced grobner basis of a kernel of a ring homomorphism
因此，將求域上塊循環矩陣的極小多項式轉化為求一個環同態的核的簡化gr （ -
The bound - continuous transition matrix element for a new ring - shaped coulomb potential
新環形庫侖勢的束縛連續躍遷矩陣元 -
Diagonalization of infinite matrix on a division ring
除環上無限方陣的對角化 -
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 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。 -
The conclusions are drawn as following : 1. regularity of fabrication in aluminum matrix composite ring - shaped performs with large dimensions and effects of parameters were investigated, based on the novel crucible movable spray deposition technology and equipment. the optimal parameters are that the diameter of the delivery tube is 3. 8mm, spray gas pressure is 0. 8mpa, spray height is 200mm, and transferring pressure of sic is 0. 5mpa
通過系統的實驗研究得到如下結論: 1 .基於新型的移動坩堝自動化控制噴射沉積環坯制備技術及裝置，研究了大尺寸鋁基復合材料環坯的制備規律，討論了噴射沉積工藝參數對沉積坯形成過程的影響，得到了最佳工藝參數:導流管直徑d = 3 . 8mm ，霧化氣體壓力p = 0 . 8mpa ，噴射高度h = 200mm ， sic顆粒輸送壓力p送= 0 . 5mpa 。 -
In this paper, finite representation module in ring of formal triangle matrix is studied
本文對形式三角矩陣環上的有限表示模進行了一些探討。 -
Complete matrix ring
全矩陣環 -
Ring of formal triangle matrix is also called ring of extended triangle matrix which plays an important role in theory of rings and moduli
摘要形式三角矩陣環，又稱廣義三角矩陣環，這類環及其上的模在環模理論中扮演著重要的角色。 -
According to propagation equation of gaussian beam and matrix of misadjust resonator, as well as principle of cavity ring - down method and data processing of fitting, a physical model of reflectivity measuring is set up for misadjustment of cavity length or angle of titled cavity mirrors
根據光束傳輸規律和失調腔矩陣方法，以及光腔衰蕩法測量原理和曲線擬合方法，建立了腔長、腔鏡角度失調下光腔衰蕩法的反射率測量模型。 -
Normalized radial wavefunctions of the ring - shaped oscillator have been obtained in ref. 1. on the basis of previous works ， in this paper ， the general formulas and the recurrence formulas for radial matrix elements of the ring - shaped oscillator are derived
利用文獻1給出的環形振子的歸一化的徑向波函數，推導出環形振子徑向矩陣元的通項表達式及其遞推關系.解決了環形振子徑向矩陣元的計算問題 -
Generalized power series extension and triangular matrix extension of ring
環的廣義冪級數擴張與三角矩陣擴張
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