查询词典 order

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

Every fluctuation period of the earlier 4 cycles covered 0.75 to 1 Ma beingsimilar to that of the fourth-order glacial-eustasy with the interval of 0.1 to 1 Ma, imagining there probablyoccurred 4 fourth-order eustasies during the latest Ordovician from the D. complexus Zone to N. ojsuensisZone.

在前4次旋回中，每次波动的周期为0.75～1Ma，与冰川活动引起的Ⅳ级海平面变化周期(0.1～1Ma)相近，以此进一步推断晚奥陶世晚期(从D.complexus带到N.ojsuensis带)发生过4次Ⅳ级海平面变化。

Solid carbide tungsten fishtail drill is suitable for pcb flexible foil clad laminate,used for target machine drilling,the features of pcb fishtail drill are thin and flexible plate,it's structure and cutting methods are different with normal pcb drill bits.its two main cutting edge is concave and formed 100degree angle,in order to distinguish with PCB drill,named fishtail drill.fishtail drill cuts beginning of circular drill.concave along the main cutting edge to cut,chip is just two much fine filament.cuttingis falling off naturally,in order to be processed without burrformation by pcb surface.

整体硬质合金鱼尾钻适合印制电路板行业加工挠性覆箔板，为打靶机钻孔用。鱼尾钻所加工的印制电路板特性是薄板、带柔性、这样就决定了它的结构和切削方式与一般PCB钻不一样，它的两主切削刃是内凹的，两主切削刃形成100度的夹角，为了与PCB钻区别，就叫它鱼尾名。鱼尾钻切削时从我圆处钻尖开始，沿着内凹的主切削刃切削，切屑只是两条极细丝状切削，整个切削自然剥落，从而被加工印制板表面平整无毛刺。

Chapter 4 combines quasi-square-wave converter technique and Nth order QRC technique, and develops a general concept of Nth (N≥2) order QSWC.

第四章结合准方波技术和N阶准谐振变换器技术，发展成N阶准方波变换器。

Two projective line pencils take shape curve of seeond order,which can help ua to determine all kinds of type of curve of second order what is in two concurrent affine planes.

对二射影对应线束形成二阶曲线的图形分析，可以帮助我们用作图法确定共面的二仿射平面场对应线束形成的二阶曲类

Choose cards from the set according to a couple of very simple rules, arrange them in numerical order (as shown in the code number of each card) and make them interlocked to form "a chain of S-shaped links", and a somewhat formulaic manifestation of one of the several hundred forms of any one of the English verbs, including those conjugational forms showing person, number, tense, voice and even the word order of the affirmative, negative, declarative or interrogative sentence, appears.

各卡片上标有构成英语动词全套变化的一种基本成分或基本组合形式，其语法意义和用途，以及分组代号，只须按一种非常简单的规则，选取卡片，顺序套排成一种"S形活络链条"式的卡片序列，就可得出任何一个动词包括人称、数、时态、语态、语气以及肯定、否定、陈述、疑问等数百种变化形式中任何一种形式的公式化表示。

"Some of them kill a man in order to Yijizhisi, some in order to make more money selling their conscience, and some drug trafficking ......"

"他们有的为了一己之私杀了人，有的为了赚更多的钱而出卖自己的良心，有的还走私毒品……"

"Applicable Law" means any national, federal, state or local law, statuute, rule, regulation, ordinance, order, decree, directive, requirement, code, notice or rule of common law, now or in the future in effect, and in each case as amended or re-enacted from time to time, and legislation supplemental to it, and any judicial or administrative interpretation of it by a Governmental Authority or otherwise, including any judicial or administrative order, determination, consent, decree or judgment applicable to or having jurisdiction over, as the context requires, XXXXXXXX and "Applicable Laws" shall be construed accordingly

"适用法律"是指任何现在或将来有效的国家、联邦、州或当地的法律、法规、法则、规定、条例、法令、政令、指示、要求、法典、通知或普通法的规定，和在一段时期内修改的、重新颁布实施的、立法补充的、政府机构作出的任何司法或行政的解释，或包括其它任何司法或行政的命令、决定、同意、法令或，将按照上文的规定，适用于或对于XXXXXXX，具有管辖权的判决；而"该等适用法律"将须据此解释；总觉得"适用法律"的翻译很是别扭！"适用法律"是动词词组，而applicable law则是名词词组！cnki 则有三种译法：准据法，法律适用，适用法律

Modern information technology in order to constructivist theory, in order to enrich the p

现代信息技术以建构主义理论为基础，以丰富的表现力、快速的信息传递、交互性强、充分的资源共享性等优势进入课堂，打破了传统的数学课堂教学模式的束缚，使教育的内容、手段和方法发生了根本性的变革。

The result verifies that the discrete model with power series direct discretization method requires 100 memory length to obtain the better approximation, while one with continued fraction direct discretization method requires only 10 order. Thus the continued fraction direct discretization method is preferable to digital realization of fractional order control algorithms in engineering applications.

研究结果表明，幂级数直接离散法得到近似离散模型需要记忆长度为100方可获得较好的近似，而连分式直接离散法近似离散模型为10阶时就可以获得较好的近似，因此连分式直接离散法比较适合于分数阶控制算法的实际工程应用。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。