characteristic polynomial 中文意思是什麼

characteristic polynomial 解釋
固有多項式
  • characteristic : adj 有特性的；表示…特性的，…特有的。 Japan s characteristic art 日本特有的藝術。n 特性，特徵，性...
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  1. 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。
  2. When the determinant is expanded, it produces a polynomial, called the characteristic polynomial.

    當行列式展開后，得到一個多項式，叫它為特徵多項式。
  3. Firstly, we generalize and analyze the advantages and present research of elliptic curve cryptography ; secondly, we study the basic theory of the ecc ; thirdly, we illustrate the safety of the ecc and discuss the elliptic curve key agreement scheme, elliptic curve encryption scheme and elliptic curve digital signature algorithm ; fourthly, we study fast algorithms of the multiplication and inversion multiplication of the element of in the underlying finite field f2m whose characteristic is two represented by the two basis of optimal normal basis and polynomial basis. we make improvements to the fast algorithm of the polynomial basis multiplication by hankerson and base on the experiments, we describe the properties and compare the advantages of the multiplication and inversion multiplication of the elements in f2m field under optimal normal bases and polynomial basis. results concluding from the study car be used as references in the realization of the elliptic curve cryptosystem ; fifthly, we overview the current fast algorithm of point multiplication, improve the fix base point comb algorithm, advance the speed of the whole system and remark the advantages and disadvantages of the popular algorithms based upon the experimental datas ; sixthly we realize the algorithm library of elliptic curve cryptography based on the f2m. only change slightly in our algorithm library can we realize the ecdh, eces, ecdsa based onf2m of anysize ; seventhly, we realize the ecc on two secure elliptic curves, including ecdh, eces, ecdsa

    本文首先介紹並分析了橢圓曲線密碼體制的優點及研究現狀；其次研究了橢圓曲線密碼體制的基本理論；第三，分析了橢圓曲線密碼的安全性並介紹了密鑰共享，加密，數字簽名等橢圓曲線密碼體制；第四，深入研究了特徵為2的有限域f _ 2m中的元素在多項式基和最優正規基表示下的乘法運算和乘法逆運算的快速演算法，並對hankerson等人提出的多項式基下的乘法運算的快速演算法作了改進，而且在實驗的基礎上不僅分析研究了f _ 2m域中元素在多項式基和最優正規基表示下的乘法和乘法逆運算的性能，還對這兩種基表示下的f _ 2m域中元素運算效率的優劣作了比較和研究，所得的結論可供在實現橢圓曲線密碼體制時參考；第五，研究了目前流行的計算橢圓曲線標量乘法的快速演算法，同時改進了固定基點梳形法，提高了整個系統的速度，並在實驗的基礎上分析研究了流行演算法的優劣；第六，實現了基於f _ 2m的橢圓曲線密碼體制的演算法庫，在我們的演算法庫中只需稍微改變便能實現基於任意尺寸的f _ 2m上的ecdh ， eces ， ecdsa等橢圓曲線密碼體制；第七，實現了兩條安全橢圓曲線上的橢圓曲線密碼體制，包括ecdh ， eces ， ecdsa 。
  4. Characteristic polynomial assignment in 2 - d system. journal of systems engineering and electronics, 2001, vol. 12, no. 3

    系統一般模型控制輸入能量受限下的能達集系統工程與電子技術， 2001年，第23卷，第12期
  5. The approximate polynomial method was based on neuber ' s method, the cyclic stress - strain responses and neuber ' s rule were treated as probabilistic curves, and the statistic characteristic was obtained from the approximate polynomial. the method is fast and easy for engineering application

    近似的多項式擬合法在諾伯法的基礎上，將循環應力應變曲線和諾伯雙曲線視為概率曲線，通過建立近似多項式的方法，求得局部應力應變的統計特性，快速簡便，適合工程應用。
  6. With the characteristic function method, necessary and sufficient algebraic criteria have been developed for a class of three - delay linear difference systems. the key of the criteria is to verify that the value of a trigonometric polynomial is less than one

    藉助特徵函數法，獲得了一類三時滯線性差分系統的充要代數準則，其核心是判定某三角多項式的值小於1 ，這一問題由繪圖法解決。
  7. A mathematic model of reactor, steam generator, pressurizer is developed based on characteristic of pwr coolant system. for reactor, the point reactor kinetics equation with six - group delayed neutrons is used and influence of coolant ' s and fuel ' s temperature is considered, conduction model of one dimension and single - channel model is used in thermal and hydraulic calculation, third - order hermite polynomial is used to solve the point reactor kinetics equation

    對于反應堆，在物理計算中採用了帶有六組緩發中子的點堆方程，同時考慮了多普勒效應及冷卻劑溫度效應對反應性的影響；在熱工水力計算中採用了一維的熱傳導模型與單通道模型；在求解點堆方程中採用了hermite插值的方法，克服了點堆方程的剛性問題。
  8. To improve the transmitting characteristic and decrease the output work has a direct effect on the enhancement of the operating property and life - span of the operating mechanism of vacuum circuit breakes. based on the characteristics of polynomial rule of the cam movement, considering the pressure angle of cam device, an optimization model is established, with the coefficients of polynomial rule of cam movement as the optimizing variable, and the minimum output work of the mechanism as the object function. with the optimization tool box of matlab, the optimization process is conveniently completed and the perfect result of optimization design is obtained

    改善真空斷路器操動機構的傳動運動特性，減小真空斷路器的操作輸出功，對提高真空斷路器的操作使用性能及壽命都具有直接的影響.利用凸輪機構的多項式運動規律的特點，以凸輪多項式運動規律的多項式系數為優化變量，以斷路器操動機構最小的輸出功為目標函數，考慮操動機構合分閘時凸輪機構傳動壓力角的情況，建立了彈簧操動機構中凸輪機構的優化數學模型，並利用matlab語言的優化工具箱方便地實現了優化過程，得到了較理想的優化設計結果
  9. A graph is called integral if and only if all the zeros of its characteristic polynomial are integral

    所謂整圖，就是指其鄰接矩陣的特徵值都是整數的圖。
  10. 4. in chapter four, a new method to construct integral directed graphs is discovered through the research on the relationship between the zeros of the characteristic polynomial of the single level and multi - level circulant matrices and the parameters of the matrices. the method can be used to construct infinite integral directed graphs

    第四章，通過對循環矩陣和多層循環矩陣的特徵根與矩陣中參數的關系的研究，發現了一種全新的構造有向整譜圖的方法，通過運用此方法，可以得到無窮多個有向整譜圖。
  11. First, according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame, the structure of the models is predigested preliminarily ; secondly, according to the quality indexes and the coupling quality between frames, relatively small quantum is neglected. so the complex non - linear coupling models of the sonar array are predigested farther ; lastly, considering the characteristic of the model coefficient matrix, the methods of the low rank polynomial approach and the error simulation are introduced. so the models are predigested again

    首先從聲納基陣框架結構的正交性和工作點的合理選擇出發，使模型的結構得以簡化；其次根據系統性能指標及框架間耦合性強弱，忽略相對小量，對聲納基陣復雜的非線性耦合模型進一步簡化；最後考慮模型系數矩陣的特點，運用低階多項式逼近和誤差模擬的方法，實現了對模型的再次降階簡化處理。
  12. In chapter one, based on the characteristic set method, real root isolation algorithm and the evaluation for maximal and minimal polynomials, we propose an algorithm for isolating real roots of multivariafe rational polynomial systems

    本文第一章從針對一元有理多項式的行之有效的符號求解演算法?實根分離的演算法（ realroot ）著手，討論了多元有理多項式組的符號求解問題? mrealroot演算法[ 14 ] 。
  13. The dynamic matrix control algorithms based on finite impulse response are studied. the model errors are defined in the form of upper and lower bound and the error square sum of impulse response coefficients of single - input / single - output systems. the robust stability conditions are proposed for closed - loop systems using dmc in the form of lmi, which can assure the closed - loop system using dmc algorithm to be asymptotically stable, when the coefficients of characteristic polynomial do n ' t satisfy jury ' s dominant coefficient lemma

    浙江大學博士學位論文4 .研究了基於脈沖響應模型的動態矩陣預測控制田mc ）演算法，針對單輸入、單輸出系統可能出現的預測模型誤差，分別以脈沖響應系數上下界和脈沖響應系數誤差平方和的形式對預測模型的模型誤差進行定義，根據該定義以線性矩陣不等式的形式分別提出了閉環系統魯棒穩定判據，當閉環多項式系數不能滿足j切嘆主系數定理的情況下仍能保證系統閉環穩定。
  14. Journal of symbolic computation, 1994, : 585 - 595. 16 gao x s, luo y. a characteristic set method for difference polynomial systems. in int

    我們將特徵列方法推廣到非線性差分方程組，證明了差分特徵列的基本性質給出了計算差分情形特徵列的演算法。
  15. Some properties of characteristic polynomial in graph

    圖的特徵多項式的若干性質
  16. On the characteristic polynomial and characteristic root of the orthogonal matrix

    正交矩陣的特徵多項式及特徵根
  17. This system does not have limit cycles. the approach handling the system is characteristic polynomial. in this paper, we discuss fifth - order binary forms

    1 ）屬于無環系統，研究無環系統的主要工具是特徵多項式，上述系統的特徵多項式是二元五次代數多項式。
  18. It is shown that randomized algorithms can decrease the computational complexity dramatically instead of seeking worst case guarantees. in addition, examples in this paper show that employing randomized algorithms is very efficient and has obvious advantages especially when uncertain interval parameters appear multilinearly or nonlinearly in the characteristic polynomial coefficients

    研究表明，在不考慮最壞情況的意義下，隨機化演算法可以顯著降低計算復雜性，另外，當不確定區間參數以多線性或非線性的方式出現在特徵多項式系數中時，採用隨機化演算法具有明顯的優點並且是非常有效的，文中給出了計算實例。
  19. In addition, the paper proposes a polynomial method to define the limited position of mechanism and to design a mechanism based on its quick - return characteristic

    文中還提出了確定機構極限位置和按急回特性設計機構的多項式方法。
  20. Some results on geometric lattice are involved in the present paper. here we recall some definitions and facts from geometric lattice, and then by the method of decomposition form of idempotent matrix over a finite field, one geometric lattice is obtained. at the same time, the present paper compute the characteristic polynomial and the parameters that involved in the geometric lattice

    本文得到了構造幾何格方面的一些結果，其中第一部分介紹幾何格理論的基本概念；第二部分利用有限域f _ q上冪等陣的分解形，構造了一個幾何格，並計算出該幾何格的特徵多項式及相應的一些參數。
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