半椭圆的

First, basing on point halving, this thesis proposed a new efficient algorithm of computing kP lQ on an elliptic curve over the finite field with characteristic 2 and analyzed the computational efficiency. When the ratio I/M of inversion to multiplication cost is small, this new algorithm is about 5%～30% faster than the traditional algorithms.

首先，基于半点运算给出一种计算特征为2的有限域上椭圆曲线双标量乘法kP lQ的新算法并分析了效率，当基域上求乘法与求逆的运算时间的比值比较小时，新算法的效率比已有算法提高5％～30％。

The maximum principles for functions which are defined on solutions of semilinear elliptic equations u+f=0(q=|u|~2)subject to Dirichlet boundary conditions u=0 were studied by using Hopf s maximum principle,the estimate of gradient q was obtained.

运用Hopf 极值原理讨论了一类具有Dirichlet边界条件u=0的半线性椭圆方程Δu+f=0(q=|u|2)的解的某个函数的极值原理，利用该结论获得了解的梯度q的估计。

She roused herself from that semi-lethargy, and walked rapidly to her dressing-table, and seating herself before it, pushed away the litter of golden-stoppered bottles, and delicate china-essence-boxes, and looked at her reflection in the large oval glass.

她从这种半昏迷状态中醒了过来，迅速地走到她的梳妆台那儿，在梳妆台前坐下，她推开杂乱地放着的金塞香水瓶子和精致瓷器香粉匣，在巨大的椭圆型镜子里瞧瞧她自己的容貌。

An astronomical unit is the length of the semimajor axis of the orbit of a hypothetical planet of mass 1/354710sm and period 365.2563835 msd in elliptic motion about the Sun; that is

天文单位的定义改为：当公转周期为365.2568983263历书日时，一个假想的、质量为零的无摄动行星的椭圆轨道的半长径，等于一个天文单位。

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

Inthe first section,under the non-convex case we are devoted to investigate an optimalcontrol problem for a class of semilinear elliptic type equations which admit exactly twosolutions.By analyzing the property of a soltuion of the state equation and establishing the proper energy estimate,we prove the relaxed control method is fit for our problemand gain the Pontryagin\'s maximum principle.

第一节，在非凸情形下我们致力于一类只有两个解的半线性椭圆型方程的最优控制问题，通过对状态方程解性质的分析并建立适当的能量估计，我们证明了松弛控制方法对本问题的适用性并得到了最优对的Pontryagin\'s最大值原理。

The results showed that the strain HH407 was gram negative, rod shaped, aerobic, with a single polar flagellum, neither endospore nor capsule formed, about 0.4 ～0.7 μm×1.0～1.8 μm in size.

对从连云港海域筛选的一株产低温碱性蛋白酶的海洋适冷菌HH407进行的鉴定和生长特性研究结果表明，该菌为革兰氏阴性杆菌，好氧，端生鞭毛，无芽孢及荚膜，大小为0.4～0.7μm 1.0-1.8μm，在酪蛋白培养基的菌落特征为椭圆金黄色、光滑、半透明、四周隆起。

A strain HH407 which could production cold-active alkaline protease, was isolated from the sea area of Lianyungang. Then, the identification and physiological characterization of the strain HH407 were studied. The results showed that the strain HH407 was gram negative, rod shaped, aerobic, with a single polar flagellum, neither endospore nor capsule formed, about 0.4~0.7 μm×1.0~1.8 μm in size. The colony on screening medium were circular, yellow color, smooth, translucent, convex with regular edges.

对从连云港海域筛选的一株产低温碱性蛋白酶的海洋适冷菌HH407进行的鉴定和生长特性研究结果表明，该菌为革兰氏阴性杆菌，好氧，端生鞭毛，无芽孢及荚膜，大小为0.4~0.7μm×1.0-1.8μm，在酪蛋白培养基的菌落特征为椭圆金黄色、光滑、半透明、四周隆起。

This paper discusses the existence of positive solutions for sublinear semipositone elliptic problems.

借助-ΔDirichlet边值问题的主特征值λ1相应的特征函数的性质，利用上、下解方法，讨论了一类次线性半正单调椭圆问题正解的存在性。

In this dissertation we consider the computation of the critical groups C〓 at infinity for a C〓-functional, and the applications to semilinear and quasilinear elliptic boundary value problems.

在这篇博士学位论文中，我们研究泛函在无穷远处的临界群C〓的计算问题，以及所得结果对半线性、拟线性椭圆边值问题的应用。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。