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Special solutions for the ring circular domain with crack surfaces acted on uniform compressive force, linear compressive force and linear shearing force are deduced in polar coordinate employed the eigenfunction expansion technique in the Hamiltonian system of elastic mechanics. Combined with the general solution for the above problems, the analytical solutions for crack tip fields with surfaces acted on the above three kinds of loads are obtained. These solutions offer theoretical basis to construct analytical elements for plastic analysis of crack.

从弹性力学哈密顿体系理论出发，利用平面弹性力学极坐标系下的本征向量展开求解，推导了环形圆形域裂纹边作用有均布压力、线性压力和均布剪切力情况下的特解，从而得到了裂纹表面作用有以上三种荷载情况下的裂纹尖端场的解析解，为进一步构造进行弹塑性裂纹分析的奇异解析元奠定了理论基础。

After about sixty days, LRO will enter its operational circular polar orbit, about 31 miles above the moon's surface.

经过大约在60天LRO将进入月球极低轨道，大约处于月球表面31英里。

LRO's final orbit will be a circular polar orbit approximately 50 km above the Moon's surface (a little over 30 miles).

LRO的最终轨道将是一个圆形极地轨道，离月球表面（略微超出30英里处）约50公里。

Complex method and multi-polar coordinate transformation are used here to study the scattering problem of SH -wave to the circular cavity in the half-space with elastic constraints acting on the straight boundary.

利用复变函数法和多极坐标移动技术求解讨论弹性约束边界半空间内浅埋圆孔对稳态入射平面SH（shearing horizontal，反平面剪切）波的散射问题。

Polar bears are a potentially threatened species living in the circumpolar north.

北极熊是一个潜在地被威胁的种类居住在极地周围北部。

In 1996,during one occasional research, the France Polar Research Team discovered that during this period if grew some vivid-coloring wild berries. By the research of the botanist, these valuable rarity wild berries are provided with egregious vitality and ability of self-improvement, only need a little water and soil, it can grows in the dark and cold North Pole area, when the sun rises up, it appears clinquant and transparent colors quickly, and the scarfskin is fruity and vibrant, this wild berries are given the good name of"Resplendent North Pole Berry".

1996年法国极地科研团队在一次偶然的考察中发现这时的北极大地会神奇的长出一些色泽鲜艳的，经过植物科学家观察研究发现，这些珍贵稀少的，具有惊人的生命力和自我修护的能力，往往只需少许的水很土壤，便能在黑暗寒冷的北极地区生长，一旦太阳升起，阳光洒落，便能迅速展露出金光闪闪、透明澄净的色泽，且表皮圆润富有弹性，也就有的美称。

In view of this, a one dimension polar distance sequence is obtained first from the closed planar curve and then the auto regressive model of this sequence is used to extract feature vector.

从空间旋转不变的要求出发，首先从平面闭合曲线得到一维极径序列，进而采用该序列的自回归模型来完成特征提取并用于平面曲线的形状分类。

A two dimensional model approach for the photodetachment dynamics of closed shell an-ionic systems in presence of external light field have been proposed in the context of polar environmental media.

利用外部光场，采用二维模型的方法研究了闭壳阴离子系统在极性溶剂环境介质中光解动力学过程。

In addition, using RT-PCR to detect expression of centrin homogene during Urechis unicinctus spermatid deferentiation and early embryonic development. The result revealed that (1) expression of HsCEN1 homogene is present during spermatid defferentiation including spermtid and sperm, but not in adult tissues including body wall tissue,intestinal mucous memberane cells and cell in coelom succus;(2) expression of HsCEN1 homogene is not present in unfertilized oocytes but present in that of released polar bodies after fertilization and parthenogenesis oocytes treated with A23187;(3) expression of HsCEN1 homogene is present during early embryonic development including two-cell stage,multicell stage,gastrula to trochophora.

我们还用RT-PCR方法检测了Centrin同源基因在单环刺螠精子分化过程和早期胚胎发育过程的表达，结果显示：在单环刺螠精子发生过程中的精细胞、精子团、精子中都有表达，而在成体的体壁组织、消化道组织、体腔球中则没有表达；在未受精卵中没有表达，而在受精后释放极体的受精卵和经A23187孤雌激活的卵中则有表达；在单环刺螠的早期发育过程——二细胞胚胎、多细胞胚胎、原肠胚、早期担轮幼虫——中都有表达。

In fact, the polar ice is desertification, only one of the most cold desert.

事实上，极地冰盖就是荒漠，只不过、是世上最寒冷的荒漠。

Its main rival is Google, which offers its own range of such services, and continues to launch new ones and interlink them more closely.

微软的主要竞争对手谷歌，已经提供了一系列这样的服务，谷歌还在不断地推出新的服务，使得各种服务的连接更加紧密。

Instead of injecting proteins from a flu virus into a person's body, why not inject just the micro-organism's genes?

相对向人体中注射从流感病毒中提取的蛋白质而言，为什么我们不直接注射微生物基因呢？