橢圓運算元 的英文怎麼說

中文拼音 [tuǒyuányùnsuànyuán]
橢圓運算元 英文
elliptic operator
  • 橢 : Ⅰ形容詞（卵形） oval-shapedⅡ名詞[書面語] （長圓形的容器） elliptic vessel
  • 運 : Ⅰ動詞1 （物體位置不斷變化） move; revolve 2 （搬運; 運輸） carry; transport 3 （運用） use; wield...
  • 算 : Ⅰ動詞1 （計算數目） calculate; reckon; compute; figure 2 （計算進去） include; count 3 （謀劃;計...
  • 橢圓 : [數學] oval; oval shaped; ellipse; ellipsoid橢圓規 ellipsograph; [圖] elliptic trammel; 橢圓軌道 ...
  • 運算 : [數學] operation; arithmetic; operating
  1. For a class of quadratic finite element diseretization systems of an elliptic boundary problem with jump coefficients under the unstructured quadrilateral grids, we are concerned with two kinds of quadratic lagrangian finite element equations, by analyzing the relationship between the linear finite element and quadratic finite element basis functions, a hew amg method is designed

    摘要針對一類帶間斷系數的橢圓邊值問題，在非結構四邊形剖分下，討論了兩種二次拉格朗日有限元方程的代數多重網格法，通過利用雙線性元和二次元基函數之間的表示關系，給出了一種新的網格粗化演算法和構造提升運算元的代數途徑。
  2. 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 。
  3. In this paper, we discusse the stability of perturtation of m - p inverses of closed operator function and then the stability of least square solution of elliptic partial differential equations of second order with unbounded coefficients

    本文討論了閉運算元的m - p廣義逆的擾動，並由此討論首項系數本質無界的二階散度型橢圓型微分方程的最小范數極小二乘解的穩定性
  4. Characteristic sets of the grushin operator

    亞橢圓運算元的特徵集
  5. Part 2 we consider the following second - order hyperbolic equation with a a uniformly elliptical operator independent of t

    第二部分：我們考慮以下二階雙曲型問題運算元a一致橢圓運算元且與t無關。
  6. The theory of dealing with elliptic operator is given and proved, which divides the inner product of the operator into two operators that are estimated one by one

    摘要給出了一類線性橢圓運算元的處理方式中有關結論的證明，該結論巧妙地將橢圓運算元作內積後分為兩部分進行處理，進而得到它們的估計。
  7. In chapter 6, we study existence of the weak solutions for a class of the nonlinear dirichlet problems on h " and estimates of the eigenvalues about the subelliptic operators on heisenberg group

    最後，我們在heisenberg群上研究幾類半線性次橢圓方程的弱解存在性問題和幾類次橢圓運算元的特徵估計問題。
  8. ( 4 ) for the second hierarchy mentioned above, the key operation is the scalar multiplication, especially, the pairs of scalar multiplication used in certain practical elliptic curve cryptosystems

    （ 4 ）對于第二層次的運算，關鍵是點元素的標量乘法運算，特別是在某些具體的橢圓曲線密碼體制中需要直接計算標量乘法對。
  9. As the applications of mixed monotone operators theory, some classes of equations are considered. some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed. some known results are generalized under weak conditions. and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup. the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained

    作為混合單調運算元理論的應用，本章討論了非線性混合單調脈沖積微分方程和混合單調非線性橢圓方程方面的一些問題，不同程度地削弱了原有的條件，推廣了已知的結果；還利用錐理論並結合運算元半群的性質及其主要特徵討論了非線性脈沖發展方程初值問題、周期邊值問題，給出了混合單調非線性脈沖發展方程的耦合周期解以及存在唯一解的充要條件。
  10. Research on a solution of elliptic boundar

    利用增生運算元理論研究一類橢圓邊值問題解的存在性
  11. The existence of solutions for a class of elliptic systems is denoted, by mountain pass lemma, the existence result for system of more general operator including p - laplacian, is obtained

    摘要利用經典的山路引理，證明了在一般形式的運算元下，橢圓型方程組非平凡解的存在性。
  12. First, it presents the basic concept and theory of the elliptic curve, discussing the choice of the coordinate system and fast realization of several point multiplication algorithm, studying all kinds of operation of the field element

    首先介紹了橢圓曲線的基本概念和理論，討論了坐標系的選擇和幾種標量乘演算法的快速實現，研究了域元素的各種運算。
  13. Ecc is considered to be an alternative to rsa. this article provides a brief description of rsa public key cryptography and the associated knowledge, in particular introduces non - supersingular elliptic curves e which is established on the finite field fp with p > 3, in - depth studies present existed scalar multiplication, further proposes an improved signed sliding window algorithm on ecc under the mixed coordinates, the improved algorithm compatible the advantage of the naf, has the least number of zero window and avoid a large number of inverse operation, successfully reduce scalar multiplication calculation

    本文闡述了橢圓曲線及其相關知識，特別說明了建立在有限域fp （其中p是大於3的素數）上的非奇異橢圓曲線e ，深入研究目前已有的各種標量乘法，由此提出了橢圓曲線密碼演算法在混合坐標下改進的帶符號滑動窗口演算法，該演算法兼容了naf方法的優點，擁有最少數目的非零窗口數，又避免了域元素上的大量求逆運算，較成功地減少了標量乘法計算量。
  14. So a new algorithm, which is based on the bem with the switching algorithm applied is proposed to solve elliptic unilateral problems. the switching algorithm is firstly presented by j. m. aitchison for the signorini problems of laplace operator

    因此本文根據aitchison提出的關于laplace運算元的開關演算法，將之拓廣到一般的橢圓型運算元，提出了基於開關演算法的邊界元方法，並進行了演算法的收斂性分析。
  15. In view of the commonly - used block cipher and public key cryptography, this article focuses on the improvement we have made for the algorithms about aes, dbs, ecc and rsa. based on the dsp chip tms320c6201 from ti company, we have accomplished the speed of 0. 92 usec per aes encryption / decryption, 1. 335 usec per dbs encryption / decryption, and 3

    針對目前信息安全體系中常用的分組密碼和公鑰密碼演算法，本文著重改進了des 、 aes的快速演算法實現，並在基於ti公司dsp晶元tms320c6201的系統中實現了0 . 92usec加（解）密一個aes分組， 1 . 335usec加（解）密一個des分組， 3 . 585usec加（解）密一個tdea分組；同時通過改造，使montgomery約化更易於進行并行處理，並通過改進橢圓曲線密碼（ ecc ）底層運算和倍點演算法，使得rsa和橢圓曲線密碼的實現速度得到了極大的提高。
  16. The procedure of this dissertation divides into two hierarchies. first, the finite field gf ( pm ) and arithmetic among field elements are concerned in chapter 3 and chapter 4. second, elliptic curve finite group e ( gf ( pm ) ) and arithmetic among point elements are concerned in chapter 5 and chapter 6

    本文的工作可分為兩個層次：第一層次，關于基域gf （ p ~ m ）及其域元素之間的運算，這包括在第三和第四章；第二層次，關于橢圓曲線有限群e （ gf （ p ~ m ） ）及其點元素之間的運算，這包括在第五和第六章。
  17. There are many papers ( cf [ l ] - [ 3 ] ) have studied the method and error estimate for boundary integeral equation and elliptic boundary value problems, and obtain some superconvergent results by varied post - processings such as interpolation, average and extrapolation etc. in this paper, we mainly study the galerkin solution for first - kind boundary integeral equation and elliptic boundary value preblem. further more we can obtain superconvergence results by ( l _ ( 2 ) project ion ) least - squares processing for derivative of elliptic boundary value problems

    對于邊界積分方程與橢圓邊值問題的解法及誤差估計已有很多文章（參[ 1 ] - [ 3 ] ）研究，並且通過各種后處理如插值、平均、外推等得到一系列的超收斂結果，本文則著重探討一型邊界積分方程galerkin解通過l ~ 2投影（最小二乘）運算元處理后以及橢圓邊值問題的導數進行l ~ 2投影（最小二乘法）處理后可獲得超收斂結果。
  18. The main task of this paper is to investigate the least - squares mixed method for the elliptic boudary - value problems. by introducing the projections and duality problems, we do some analysis for the approximations and finally obtain the general superconvergence results

    本文的主要工作就是研究橢圓邊值問題的最小二乘混合有限元方法，通過引進投影運算元和對偶問題進行收斂性分析，最後得到了超收斂結果。
  19. In particular, its application to partial differential equation, which is concerned by more and more mathematicians, is a very active branch in mathematics research at present. for example, the calderon - zygmund operators of the third era and t ( 1 ), t ( b ) theorem offer the theoretic base of potential method to solve a class of elliptic boundary problems in non smooth domains [ 46 ] ; on the other hand, the lp - lq estimates and space - time estimates of the linear evolution equations offer the nonlinear evolution equations new work spaces, which is established by the estimates of oscillatory integral and potential

    例如第三代calderon - zygmund運算元及t （ 1 ） ， t （ b ）定理，對于非光滑區域上的一類橢圓邊值問題，提供了用位勢求解的理論基礎[ 46 ] ；又如以振蕩積分估計及位勢估計為基礎，建立線性發展方程的l ~ p - l ~ q估計以及相應的時空估計，為研究發展型方程提供了新的工作空間，這方面的工作參見t
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