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In noncommutative scalar field theories, the appearing of nonplanar diagrams is related to permutation symmetry of field functions in the interaction Lagrangian, while in NCQED we can not arbitrarily change the positions of field functions in the interaction Lagrangian because different positions of the field functions correspond to different representations of the gauge group.

这里需要特别指出的是NCQED的非平面图产生的原因与非对易标量场根本不同，非对易标量场非平面图的产生是和相互作用拉氏量密度中场函数间位置的置换对称性有关，而在NCQED中我们不能随便交换相互作用拉氏量密度中场函数的位置，因为场函数的不同位置对应着规范群的不同表示。

"It is common to find people of French Canadian descent to be related to large numbers of other French Canadians," said genealogist Christopher Child, who conducted the research.

有关共和党总统竞选人约翰·麦凯恩的研究结果可能没那么令人惊讶。研究发现，他是第一夫人劳拉·布什的第六代表亲。

Thesolutions compose self-contained inner product space (weight function is constant 1),i.e., they are basic series of Hilbert space; hence any internal waves could beexpanded into generalized Fourier series. With difference method, Sturm-Liouvilleequation is transformed to matrix eigenvalue problem. Each eigenvalue is related to ahorizontal wave number, and relevant solution is a certain mode of internal wave.

其解系构成完备的加权(权函数为1)内积空间，即Hilbert空间，从而内波现象可以展成该解系的广义Fourier级数；采用差分方法，将 Sturm-Liouville 方程转化为矩阵特征值问题，每一个特征值对应一个内波波数，该特征值对应的解则是内波的某一模态。

Our study shows that the numerical seismic structure is closely related to oil and gas-bearing reservoir, so it is very useful for a geologist or a geophysicist to precisely interpret the oil-bearing layers from the seismic data.

我们的研究表明：地震数据结构与地层含油气性紧密相关，因此对地质和地球物理工作者精确地从地震资料解释含油层是非常有用的。

Ever since the 1970s, the contents related to soil resource have already expanded largely, they have began to serve for agriculture, industry, city planning and military service synthetically and people have began to regard soil resource as the conjunct results of geosphere, atmosphere, hydrosphere and biosphere.

由于土壤信息系统能够为用户提供准确、及时的土壤信息和相关信息，在全球土壤变化研究中这种技术的应用是不可避免的，同时为了准确评估土地生产力，及时监测土地质量的变化及建立全球变化模式，迫切需要建立和改善土壤信息系统。

Analyzing historical birth and death records from 19th-century Europe, he and Eileen Crimmins, a gerontologist and sociologist at the University of Southern California, found that longevity is directly related to exposure to childhood disease.

他与同校的老龄医学专家兼社会学家艾琳·克里敏斯分析了欧洲19世纪关于生死情况的历史档案，发现长寿与否跟曾经所罹患的儿科疾病直接有关。

It can be used to calculate positioning error related to baseline error and observation error. It can also be used to calculate convergent area and unstable area with given GIB network.

并以此详细推导了水面基线误差、网形对定位结果的误差分析公式和距离观测误差对定位结果的误差分析公式。

To set up improved monitoring systems that combine remotely sensed and automatic station measurements with ground control related to basic glaciological and hydrological research

拓展全面的、多学科的研究，以适应该地区环境和文化上的复杂性

In this study, we showed that midlife dietary fat intake was related to cognitive performance, especially in domains of global cognitive function, semantic memory and psychomotor speed, and to the occurrence of MCI later in life.

本次研究表明，中年饮食中的脂肪摄入量与人的认知活动有关，尤其在如下的领域：整体认知功能，语义记忆，思维速度和后天生活的MCI活动等等。

Discuss any symptoms you may have with your doctor to see if they could be related to glomerulonephritis.

讨论任何症状您可能会与你的医生，看看是否他们可能与肾丝球肾炎。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。