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We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念，证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1，…， fs)（f1=0，…， fs=0表示s个代数超曲面）上的维数，并利用倒差分算子给出一个方便计算的表达式；构造了沿代数流形上插值适定结点组的叠加插值法；证明了在充分相交的代数流形上任意次插值适定结点组的存在性；给出代数流形上插值适定结点组的性质和判定条件。

To factor a polynomial of degree n over Fq, the number of arithmetic operations in Fg isO(n1.8010111405662083logq) or On2+o(1 +n1+o(1) log q or On (1,3/4,3/4+ n1+o(1) logq, of which the first one is less by 0. 00433886 than the previous record.

具体地说，为了分解有限域F~q上一个次数为n的多项式，该算法的时间开销为 On~(1.8010111405662083logq或On~(2+o(1)+n~1+o(1logq或On~(ω(1，3/4，3/4)+n~I+o(1logq个F_q中算术运算，其中第一个开销的指数比已知的最好结果降低了

Let R be a set of primitive symmetric di graph s of order n with exact d vertices having ring.

设R表示由全体恰含d个环点的n（n≥3）阶本原无向图所构成的集合，F为 R中图的第 k重上广义本原指数的最大值，1≤d≤n，2≤k≤n－1。

It was detected that the surface is made up of mainly 4 elements: C, O, N and Al, with little P and F in abaxial leaf.

结果表明，茶树表面主要由C，O，N和Al等四种元素组成，在茶树叶远轴面还有少量的P和F。

In this paper, for a kind of generalized cyclotomic binary sequences with prime period N = 6 f+1, we computer their linear complexity. Specially, any one of the binary sequences has optimum balance among 0's and 1's.

本文中，我们构造了一类以奇素数N = 6 f+1为周期的分圆二元序列，证明了这类序列具有&好&的线性复杂度，适合于实际应用。

In Japan, the same character (pronounced either "koku" or "kizamu") translates roughly into "carving out a small amount of time" and was used, until the Meiji era, to signify "hour", while the character for fen (pronounced "f n" in Japanese) is used to this day to denote "minute".

在日本，同样一个字（音发作&koku&或&kizamu&），大约可以翻译成&挤出一小点时间&，而且直到明治时期，这个字一直表示&小时&。但是&分&（在日语里发作&f n&）这个字直到今天仍然表示&分钟&的意思。

The conclusions are as follows: Various depositional environment is of its particular indicator element association. F-Cl-Br-I-Ca-Mg association reflects the relative age and proportion of marine sediments, N-S-OrgC, I-Hg and Y-Ce-La association indicates respectively the lake facies, lagoonal facies and terrestrial facies depositional environment.

结果表明：各沉积环境有其特征的指示元素或组合，F、Cl、Br、I、Ca和Mg元素组合可反映海相沉积物的新老和比例；N、S、OrgC组合，I、Hg组合和Y、Ce、La等稀土和稀有元素组合分别指示湖相、泻湖相和陆相沉积环境。

In theoretical analysis, both of 1/f noise and these failure can be attributed to the same defects, such as oxid traps, dislocation and metallic impurity in p-n junction, and weak-bond states near Si/SiO〓 interface etc.

理论分析表明，1/f噪声与这些失效模式可归因于相同的潜在缺陷，如氧化层陷阱、p-n结耗尽区内的位错和重金属杂质、Si-SiO〓界面附近的弱结合键态等。

Secondly, we study a class of automorphisms of A, i.e., we prove that the set {φ∈SL_n|φ= t is a subgroup of AutA(n,t,Finally, we mainly discuss some properties of the operation w in A, i.e., g~w = 0, f~w = 0 and Leibniz identity.

其次，讨论了A的一类自同构，即证明了集合{φ∈SL_n|φ=t}是自同构群AutA(n，t的一个子群；最后，得到了A的运算w的一些性质，即g~w=0、f~w=0和Leibniz等式。

In this situation,the electrode potential at equilibrium(i.e,when the rate of the anodic reaction equals the rate of the cathodic reaction) will be shifted from the standard electrode potential and can be defined by the Nernst equation:(5)where E0 is the standard electrode potnetial ,RT/F is a constant,n is the number of electrons transferred ,and a is the activity of the anodic and cathodic reactants.

在这个情况，电极电位在平衡(即，当正极反应的率合计负极反应的率)从标准电极电位将被转移，并且可以由能斯脱等式定义：(5) E0是标准电极potnetial的地方， RT/F是常数， n是转移的电子的数量，并且a是正极和负极反应剂的活动。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。