证明

This paper utilizes the Reciprocal Law Two Times to prove that the rational number of a kind of form is not the integer, and proves that the number of another kind of prime is limitless.

摘要利用二次互反定律证明了某类形式的有理数不是整数，并且证明了某类形式的素数的个数是无限的。

This paper utilizes the Reciprocal Law Two Times to prove that the rational number of a kind of form is not the integer ,and proves that the number of another kind of prime is limitless.

利用二次互反定律证明了某类形式的有理数不是整数，并且证明了某类形式的素数的个数是无限的。

Many steps were reached using the long-cherished method of Proof by Induction, others by Proof by Reductio ad Absurdum, and still others using Proof by Graduate Student.

许多步骤是用各种经典的逻辑证明方法推导得到的，包括归纳法、反证法等，甚至有些部分还是由旁听的研究生证明的。

But those judges often allowed the mortgage companies to refile their foreclosure claims after attesting to their ownership of the mortgage in the county in which the homeowner lives.

但是，这些法官往往在抵押贷款公司提供证明，证明他们房屋所有人的房屋享有抵押权后，允许这些抵押贷款公司重新提起丧失抵押品赎回权的索赔。

N this paper, a new method for theorem proving of PTL based on constructing semantic refutation tree is presented.

本文通过对近10年命题时态逻辑定理证明方法的研究，提出了一种新的证明方法，前人的工作基于对公式的现时部分和后时部分的分解，本文的工作是基于语义反驳树构造。

Article 20 The registrant of a certification mark shall not use that mark on the commodities provided by itself.

第二十条证明商标的注册人不得在自己提供的商品上使用该证明商标。

Second,a new estimator called generalized rootpower estimator of regression coefficients in growth curve model is obtained.For the newestimator,its superiority over the LS estimator and the root power estimator,and its admissibilityare proved.Two methods,two kinds of arithmetic of choosing the generalized root powerparameters are introduced.A demonstrative practical example is provided.

对增长曲线模型中的回归系数矩阵提出了一种新的估计——广义根方估计，并证明了通过广义根方偏参数的适当选取可使得该估计在均方误差和均方误差矩阵的意义下优于已有的最小二乘估计估计和根方估计；及证明了广义根方估计是可容许估计；还给出了选取广义根方偏参数的两种方法、算法和应用实例。

The last part based on to our country medical service damage compensate lawsuit proof responsibility distribution system malpractice understanding, in the model overseas correlation theory and in the practice merit foundation, from the value goal, the basic principle, is specifically regular and the necessary measure four aspects to consummates our country medical service damage compensate lawsuit to prove the responsibility distribution system put forward the constructive proposal.

最后一部分基于对我国医疗损害赔偿诉讼证明责任分配制度弊端的认识，在借鉴国外相关理论及实践的优点的基础上，从价值目标、基本原则、具体规则和配套措施四个方面对完善我国医疗损害赔偿诉讼证明责任分配制度提出了建设性建议。

The equations of two classes of 3D polynomial maps that are equivariant with respect to the rotational symmetries of either a regular tetrahedron group or a regular octahedron group are strictly given, on the basis of which the properties of the general Julia sets created by these 3D polynomial maps are discussed and proved.

从理论上分析并证明了三维多项式映射满足等变的条件，精确地给出了关于正四面体群和正八面体群具有旋转不变对称性的两类三维等变映射的具体公式，在此基础上讨论并证明了三维多项式映射的广义Julia集所具有的性质。

First, we have proved that the constraint of local constant gradient angles is equivalent to the minimization of total variation. Based on this, a stronger continuity constraint of gradient angle is presented. The interpolation formula (a 3-degree-PDE) derived from the constraint can ensure the continuity of level lines and reduce the width of edges. The contrast invariant of the regularizer of the formula is also proved.

首先证明了局部恒定的梯度角约束插值等价于总变分最小化；在此基础上，提出一个具有更强连续性的梯度角约束，由这个约束条件导出的三阶偏微分方程使插值的图像既可以保证水平线方向的连续性，又减小图像边缘的宽度；最后证明了插值方程中正则项的对比不变性。

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。