特徵廣義函數 的英文怎麼說
中文拼音 [tèzhǐguǎngyìhánshǔ]
特徵廣義函數
英文
eigendistribution- 特 : Ⅰ形容詞(特殊; 超出一般) particular; special; exceptional; unusual Ⅱ副詞1 (特別) especially; v...
- 徵 : 名詞[音樂] (古代五音之一 相當于簡譜的「5」) a note of the ancient chinese five tone scale corre...
- 義 : Ⅰ名詞1 (正義) justice; righteousness 2 (情誼) human ties; relationship 3 (意義) meaning; si...
- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 特徵 : characteristic; feature; properties; aspect; trait
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
-
For the delay - independent stability, necessary and sufficient algebraic criteria have been obtained in terms of characteristic functions. the key of the criteria is to verify that a polynomial has no nonzero real roots
對時滯無關穩定性,以特徵函數為工具,獲得了充要代數準則,其核心是判定多項式方程無實根,這一問題由廣義sturm理論解決。Generalized eigenfunction expansion concerning normal operators
與正常運算元相關的廣義特徵函數展開1 farin g. curves and surfaces for cagd - a pratical guide. 5th edition, morgan kaufmann publishers, 2002
我們綜合利用廣義特徵向量擬合和距離函數,給出一種動態隱式曲線曲面重構的初值指定方法。The explicit formulas for the second type of hua domain and two types of generalized exceptional hua domain are obtained in the first chapter of this article : whether a domain is complete with respect to bergman distance is studied in the second chapter of this article, and we prove super - cartan domains which are special types of hua domain are complete with respect to bergman distances ; the integral representation for the first type of super cartan domain which is based on its characteristic boundary is got in the third chapter of this article : a sufficent and necessary condition that a bounded domain in cn is biholomorphic to the classical domain is given in the fourth chapter of this article
第一部分給出第二類華羅庚域和兩類廣義例外華羅庚域的bergman核函數的顯表達式;第二部分研究bergman度量的完備問題,證明了超cartan域(一種特殊的華羅庚域)關于bergman度量完備;第三部分給出了第一類超cartan域的建立在其特徵邊界上的積分表示公式;第四部分則給出了c ~ n中的有界域全純等價于典型域的充要條件。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。Based on the theory of reyleigh minimum, the minimum of energy function of neural network was mapped to the eigenvector that was mapped to the minimal eigenvalue of the generalized eigenvalue problem, by which the precise solution of minimal eigenvalue was gained while the neural network moving to the minimum of energy function
本文應用reyleigh極小值原理,將神經網路的能量函數的極小點對應于廣義特徵值問題的極小特徵值所對應的特徵向量,在神經網路向著能量函數極小點運動的同時得到了極小特徵向量的精確解答。3 j uttler b, felis a. least - squares fitting of algebraic spline surfaces. advances in computational mathematics, 2002, 17 : 135 - 152. 4 yang z w, deng j s, chen f l. dynamic implicit curve reconstruction based on approximate geometric distance
其中廣義特徵向量擬合模型能較好地反映目標形狀的拓撲結構,距離函數則近乎完美地刻畫了目標的幾何信息,因此所得初始隱式曲線曲面能很好地適用於動態重構的迭代過程。The main achievements of this work include the some aspects as follows : ( 1 ) based on a simple model with constant number of parameters, which consists of a set of trigonometric series functions, a generalized ionospheric model is constructed whose parameters can be adjusted
主要包括: ( 1 )將參數固定的三角級數函數電離層模型,擴展為更適用於理論研究和實際應用的參數可調型廣義形式,實現了根據電離層延遲時空變化特徵,選擇不同的特徵參數模擬電離層延遲的影響。分享友人