橢圓表示法 的英文怎麼說
中文拼音 [tuǒyuánbiǎoshìfǎ]
橢圓表示法
英文
elliptical representation- 橢 : Ⅰ形容詞(卵形) oval-shapedⅡ名詞[書面語] (長圓形的容器) elliptic vessel
- 表 : Ⅰ名詞1 (外面;外表) outside; surface; external 2 (中表親戚) the relationship between the child...
- 示 : Ⅰ動詞(擺出或指出使人知道; 表明) show; indicate; signify; instruct; notify Ⅱ名詞1 [書面語] (給...
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 橢圓 : [數學] oval; oval shaped; ellipse; ellipsoid橢圓規 ellipsograph; [圖] elliptic trammel; 橢圓軌道 ...
- 表示 : show; express; mean; indicate; expression; presentation; signifying; remark; representation
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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。Based on the method expressing the positional uncertainty of point entities in surveying and mapping, uncertainty ellipse was employed to characterize the uncertainty region for the error dispersal of 2d target ' s position, and uncertainty ellipsoid for the 3d target. 1 - uncertainty ellipse was derived from positional error covariance
借鑒測繪學科中衡量點元位置不確定性的方法,分別用橢圓和橢球來表示二維目標和三維目標的位置誤差散布的不確定性區域。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 。In the dissertation, a " fast shamir algorithm represented by five - element joint sparse form " is presented. and it is demonstrated that comparing with other similar algorithms, the total numbers of the computation of our algorithm can be saved about 10 %, in the case of 192bit key. ( 5 ) in the implementation of elliptic curve cryptosystem, one of the key steps is to design and implement the base - point choice algorithm of elliptic curve finite group
已經證明,用本文提出的「五元聯合稀疏形式表示的shamir演算法」計算標量乘法對,在192bit的密碼體制中,其計算量比同類演算法平均減少了10兒( 5 )實現橢圓曲線密碼體制還有一個關鍵的步驟,就是橢圓曲線有限群基點選取演算法的設計與實現。( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple, matlab ), many exact periodic solutions of nonlinear wave equations can be obtained and these solutions can degenerate solitary wave solutions, shock wave solutions, trigonometric function solutions
( 2 )利用jacobi橢圓函數表示法和數學計算軟體( maple , matlab等) ,可以得到一類常系數非線性發展方程的雙周期解,這些解能退化成孤立子解,沖擊波解,三角函數解。Firstly the formulation arid representation of solutions of the above boundary value problems are given, and then the existence of solutions for the above problems is proved, in which the complex analytic method is applied, namely the complex functions in the elliptic domain and the hyperbolic complex functions in hyperbolic domain are used
先給出這個問題的提法和解的表示式,然後使用一種新的復分析方法,即在橢圓區域上使用復變函數,在雙曲區域上使用雙曲復函數,最後證明了上述混合型方程間斷斜微商問題解的存在性。We improve this method as follows : ( 1 ) single jacobi elliptic function is replaced with an unified jacobi elliptic equation, thus repeated calculation is avoided ; ( 2 ) extending the expansion method from sole - function to double - function form, the more solutions for npde are obtainted ; ( 3 ) using many of jacobi elliptic functions besides ordinary three kinds, the content of solutions represented by jacobi elliptic by the jacobi elliptic function expansion method and computer functions is very abundant
我們對此方法做了如下幾點改進:用統一的jacobi橢圓方程組代替單個的jacobi橢圓函數,避免重復計算;將jacobi橢圓單函數展開方法推廣到jacobi橢圓雙函數展開,這樣可以得到更多的解;將通常使用的三個jacobi橢圓函數推廣到多個jacobi橢圓函數,豐富了用jacobi橢圓函數表示的解的內容。利用改進的jacobi橢圓函數展開法,求解了bbm方程和boussinesq方程組。After the streamlines and potential lines were plotted, the potential line of the hardening and softening parts were taken as the same ellipse form. in order to establish the softening elasto - plastic model of qi loess, the plastic potential function used is in a ellipse form and the plastic work function was used as its hardening parameter
作流線和勢線,揭示了勢線的硬化部分和軟化部分具有相同的橢圓曲線形式,採用橢圓來表示塑性勢函數,以求待定塑性功函數為硬化參數的方法建立了q1黃土的軟化型彈塑性本構模型。分享友人