可证明的

By weakening the premise of the convexity of the objective function required in paper[7], we prove the sufficient desent property and the global convergence with the strong Wolfe line search.

在第二章中，我们参照文献[7]中的方法，提出了一类与HS算法相关的共轭梯度算法，并减弱了文[7]中要求目标函数二阶连续可微且为凸的前提条件，采用强Wolfe线搜索，在较弱的条件下证明了这一类算法具有充分下降性和全局收敛性。

Although luck had smiled on his expedition, it was a testament to his foresight and good judgment that not a single crewman had died.

尽管幸运之神眷顾着他的探险之旅，可没有一个船员死亡的事实正是他的远见与良好判断力的证明。

The results showed that the volume density of mitochondriumand mitochondrial intermembrane crack increased according to ischemic time extension;The volume density ofmitochondrial crista decreased according to ischemic time extension;prominent defference occured after 45 min-utes of ischemia,The practice demonstrates that image analysis instrument has marked pre...

结果显示：线粒体和线粒体外室的体密度随缺血时间延长而加大，线粒体嵴的体密度随缺血时间的延长而减少，缺血45min以后即和正常对照有显著性差别。实践证明，图像分析仪在定量超微结构的变化上，具有高度的精确性，故可早期发现病变。

Two normal forms, best-simple normal form and literal normal form, are presented at first in order to eliminate the complexity of formulas decision. Based on the two normal forms, a deduction proof of decidability theorem in L and a decision algorithm P based on deduction for proportional formulas are given and a decision machine found on P, DMBD, is also designed.

首先提出了消解复杂性的两种范式：最简范式和文字范式，在此基础上给出了L的可判性定理的演绎证明及命题公式的演绎判定算法P，并基于ML语言设计了基于P的演绎判定机DMBD。

Secondly, a dynamic evolution model of the real estate market is developed in the form of differential inclusion.

其次 ，给出了房地产市场的微分包含形式的动态演化模型，利用生存理论证明了在一定条件下房地产市场的可生存动态均衡是存在的。

In the method, the equation of vorticity is simplified and combined with the definitions of vorticity and divergence , and then restrained by the equation of continuity to set the system of retrieval equations. Three-dimensional wind vector, vorticity and divergence can be got by solving the system of equations. Preliminary test has proved that it is feasible.

该方法从动力学角度出发，将柱坐标中的垂直涡度方程适当简化后，联系涡度散度的定义式，再以大气连续方程作约束，得到一个反演方程组，求解方程组就可得到不同高度层上的三维风场以及涡度、散度，初步检验证明其是可行的。

This paper obtains some equivalent characterizations of perfect strong screenable spaces under the condition 1 normal By using the one of them an equivalent proposition on the countable product is proved .

在正规T1的条件下得到了完全强可遮空间的一些等价刻画，并且利用获得的刻画证明了这类空间的一个可数乘积定理。

This paper obtains some equivalent characterizations of perfect strong screenable spaces under the condition T 1 normal By using the one of them an equivalent proposition on the countable product is proved .

在正规T1的条件下得到了完全强可遮空间的一些等价刻画，并且利用获得的刻画证明了这类空间的一个可数乘积定理。

This problem dates back to 1611, when Johannes Kepler conjectured that the best packing arrangement for identical spheres was arranging them in what is now called face centered cubic packing - similar to how one sees cannon balls stacked.

这个问题可追溯到1611年约翰尼斯·开普勒提出堆积等大球体最佳方法的猜想（译者注：当等大球体按照--球心位于正方体各面的中心上--的形式，并且将第一层摆放成六角形时，它们占用的空间最小，对空间的利用率可以超过74%），现在把这个方法叫做面心立体堆积法--类似于加农炮弹的堆积方式。1998年，安娜堡密西根大学教授托马斯·C·黑尔斯证明了这个猜想。

It is a efficient method to build facilely comprehensive industry automation control system and implement networked measurement and control system.

该方案已成功运用于"面向高分子及其复合材料开发的测试关键技术平台"中，实际应用证明了该方案可省去复杂的语言编程，简化开发过程，是一种建立全面的工业自动化控制系统和实现测控系统的网络化的有效方法。

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％。