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quadratic equation 二次方程式。

quadratic sieve

The discussion of the fourth kind of quadratic equation , the use of “ rule of three “ , the calculation of number r and some terms algebra can be found in indian classics introduced to arab and some of these mathematical knowledge maybe comes from china ( such as “ rule of three “ ) 花拉子米對第四種二次方程的討論,使用的“三率法” ,對圓周率的計算以及某些術語可以在早期傳入阿拉伯的印度典籍中找到出處,而在這些數學知識中有一些可能是遠源于中國的(比如“三率法” ) 。

A quadratic equation with one variable for two - story frames and a cubic equation with one variable for three - story frames are derived from which the rotational restraint provided to each column may be solved and the effective length factors can then be determined by the traditional formula or tables 對于兩層框架,通過求解一個一元二次代數方程得到各柱柱端的轉動約束;對于三層框架,通過求解一個一元三次代數方程,得到各柱柱端的轉動約束。進而由傳統公式或規范附表得到各柱的計算長度系數值。

On the research of power analysis attacks , the attack principles and operation methods of spa and dpa are introduced first , then the concrete algorithms to rsa and rsa - crt are investigated separately : the spa attacking algorithm for rsa is given and the dpa attacking algorithm for rsa is improved , three different algorithms which are based on the different preconditions are summarized ; the spa and dpa attacking algorithms for rsa - crt are presented , then a new attacking algorithm named quadratic equation algorithm is proposed based on the discussion before 在能量分析攻擊方法研究中,首先介紹了spa 、 dpa的攻擊原理和實施辦法,之后分別針對rsa及rsa - crt算法進行討論:給出了rsa的spa攻擊算法,改進了dpa攻擊rsa的現有方法,并依據不同前提歸納為三種具體算法;給出了spa攻擊rsa - crt的算法,介紹了現有dpa攻擊rsa - crt的余數猜想法,在此基礎之上提出一種新的攻擊算法? ?二次方程法。

In this thesis , the basic problem of network security , some correlative protocols and cryptology are discussed at first , math theory in point is also studied . especially , a sort of new matrix method of solving quadratic equation over gf ( 2m ) is given , which is the key of selecting random point over elliptic curves . no better solution has been found in related literature in the world . compared with ieee p1363 ' s method , it is easy to implement the software and obtain high efficiency , etc . then the basic operation of elliptic curve is debated and the steps of finding secure curve and basis point over gf ( 2m ) are presented . moreover , the encryption and decryption schemes of the ecc are designed and the security problem of ecc is also considered . in the end , ecc by koblitz curves are implemented 文章首先討論了網絡安全基本問題、網絡安全協議和密碼學;對相關數學理論進行了研究,特別是給出了一種新的求解gf ( 2 ~ m )上二次方程的矩陣法,而它是選取橢圓曲線上的隨機點的關鍵步驟,和ieeep1363的方法相比,它有易于軟件實現、效率高等優點,在國內外相關文獻上還未見到更好的求解方法;接著討論了橢圓曲線的基本運算,進而給出了在gf ( 2 ~ m )上選取安全曲線及基點的步驟;文章還設計了橢圓曲線加密系統的加解密方案,討論了橢圓曲線系統的安全性問題。最后文章就koblitz曲線加密系統進行了軟件實現。

The method for solving quadratic equation which combined arithmetic solution and geometry demonstration together by al - khw rizm probably is influenced by greek who praised highly geometry , but through analyzing carefully , his geometry seems different from “ geometrical algebra “ of euclid in essence , but is similar to chinese ancient mathematical method - out - in complementary - like principle 花拉子米討論一元二次方程時所采用的算術解法與幾何論證相結合的方法似乎是受希臘人推崇幾何學的觀念的影響,但經過仔細分析,認為他的幾何證明本質上區別于歐幾里得的“幾何代數” ,而與中國古代的“出入相補原理”更相像。

In this paper , three correlative results are given : 1 ) the average crossing number of graph with n vertices and q edges can be signified approximately by quadratic equation of q . 2 ) the average crossing number of graphs with bigger girth is greater than that with smaller girth within given vertices and edges . 3 ) the average crossing number of r - regular graphs greater than that of non - regular graphs within given vertices and edges where n is odd or r < n / 2 并得出相關的規律: 1 ) n個頂點q條邊的單二連通分支圖的平均交叉數aac ( n , q )可近似地表示為q的二次多項式, 2 )在給定頂點數n與邊數q的單二連通分支圖中圍長較大的圖的平均交叉數大于圍長較小的圖的平均交叉數, 3 )在給定頂點數n與邊數q的單二連通分支圖中當n為奇數或r n / 2時, r正則圖的平均交叉數大于非r正則圖的平均交叉數。

Through the reasonable assumption of intrinsic parameters , we can avoid the general nonlinear and ambiguity in solving kruppa equation . at last , the camera self - calibration can be simplified to solving a quadratic equation 通過對攝像機內參數的合理假設,避免了一般使用kruppa方程標定時的非線性和多義性,并最終將固定內參數下的標定問題簡化為一個二次方程的求解。

The quadratic equation algorithm utilizes spa , dpa and principle of rsa - crt , converts the complicated prime factorization of a large composite number into finding the solution of a quadratic equation and gains the private key at last 該方法綜合利用spa 、 dpa攻擊手段和rsa - crt算法原理,將rsa算法的大數分解難題轉化為以私鑰p或q為解的二次方程,最終獲取算法私鑰值。

This condition comes down to the problem of finding the solution of a set of quadratic equations . the solution of this set of quadratic equations is a set of orthonormal vectors , which makes the equations more easily solved 具體使用這個判據時,雖然也要解方程組,但該方程組是一個二次齊次方程組,而且其解有較好對稱性,因此該判據對很多態都可方便地使用。

After deriving swt from the model , we find out that the water saturation equation is a quadratic equation about swt , so its solution is very simple and obtained by using the standard quadratic - root formula 通過研究混合泥質砂巖有效介質通用hb電阻率模型的求解方法,表明模型導出的關于s _ ( wt )的方程是一個一元二次方程,可用求根公式求解,解法非常簡單。

Then he got out note - book and algebra and lost himself in quadratic equations , while the hours slipped by , and the stars dimmed , and the gray of dawn flooded against his window 然后他拿出筆記本和代數書,投入了二次方程式見時光悄悄溜走,星星漸漸隱斂。黎明的魚肚白向他的窗戶瀉了下來。

Simple and quadratic equation and some skills of operation in algebra may come from babylon 級進行對比分析,得到一些初步認識: 《代數學》中所討論的一次和二次方程以及某些運算技巧可能源于巴比倫。

Quadratic equation solver - this program calculates the root ( s ) of the quadratic equation with very common and simple algorithms 這個程序能用非常普通和簡單的算法來計算一個二次方程的根。

This program calculates the root ( s ) of the quadratic equation with very common and simple algorithms 這個程序能用非常普通和簡單的算法來計算一個二次方程的根。

The relationship between the dielectric constant and density of the material may be described by quadratic equations 密度與介電常量的關系可用二次方程序表示。

The girls , by comparison , would be at school learning how to solve quadratic equations 相反,不帶女兒來上班,她們是可以在學校里解二次方程的。

But only with quadratic equations , 但是只有二次方程