查询词典 boundary condition

Then it proves a necessary and sufficient condition for anamalgamation of two 3-manifolds with toms boundary with no new incompressible surfaces.Lastly, with the help of the condition and the theorem about the classification of allautomorphisms of a torus, it is proveed that there exists infinitely many 3-manifolds each ofwhich contains no incompressible surfaces besides a torus.

最后，文章给出了以环面作为边界的两个3维流形在作融合积时不产生新的不可压缩曲面的一个充分必要条件，并将这个结果与关于环面到自身的自同胚类的分类的结果相结合，证明了本文的一个核心结论，即存在无穷多个互不同胚的3维流形满足除了一个环面以外不含有其他的不可压缩曲面。

In this paper, we demonstrate that, based upon boundary conditions and the uniqueness theorem of domain decomposition method for boundary problem of Helmholtz equation, Snell's law may also be derived without adopting phase-matching condition.

该文利用Helmholtz方程边界问题的边界条件和域分解理论，研究了静态面电荷对电磁波在介面传播的影响，理论上得到了一些有物理意义的结果，这对认识电磁波在介面的传播特性有一定参考价值。

The boundary, the boundary, the ideal condition were China ancient times in Wen Lun important category, always discusses very many.

境、境界、意境是中国古代文论中的重要范畴，历来探讨甚多。

Based on a chosen normalized boundary equation, a new normalized boundary equation can be established such that the irregularity of the kernel of integral equations is overcame. Finally, natural frequency is obtained by the existence condition of nontrivial solution of the discrete algebraic equations derived from the integral equations.

边界方程有多种选择，在选定一种边界方程的基础上，可以通过建立一个新的边界方程来表示问题的边界，以克服积分核的奇异性；最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。

The stability of algorithm, the condition of absorbing boundary and free surface boundary, the grid dispersion and the process of source are discussed in details. The numerous simulations of wave propagation are carried out in isotropic media, transversely isotropic media and anisotropic media induced by fractures. The difference between anisotropic and isotropic effects on surface records is analysized.

接着讨论了有限差分算子的稳定性和收敛性，以及吸收边界条件、自由边界条件、数值频散和震源的处理，对各向同性介质、横向各向同性介质以及裂隙引起的各向异性介质中传播的弹性波场进行了数值模拟，分析了多波多分量数据中的各向异性效应以及各向同性在地表地震记录中的反映。

The conversion boundary of self-incompatibility was researched by sowing by stage. Sunshine of day and temperature was studied critically by investigating leafage and researching traits indoors. The results showed that the daily minimum temperature was the principal factor of affinity conversion and the affinity conversion boundary was 16.5~18.1℃.HE97 was primarily regard as self-incompatible line in this research. The method was by inbreeding and sib HE97, Half the silk of HE97 and Zheng58. Inbreeding and cross have been done simultaneously. The extending condition of pollen tube was observed by dying the silk after pollinating 4 hours. The individuals with pollen tube were observed having seeds, while the individuals without pollen tube were observed having few seeds or no seeds. So this study regard HE97 as sporophytic self-incompatibility .The planting ration of female parent HE97 and male parent 87-1 was 4:1.The nature cross-pollination was studied by the theory of endosperm xenity, the study show that the setting percentage of HE97 was 625%, in which the seed in self was 70% and the seed in hybrid was 30%. This was consistent with the study of silk anatomy structure, then come to the same conclusion: compatible pollen germination and fertilization can stimulate the self-incompatible pollen germination and fertilization in the same corn cob.

通过分期播种，进行了光温敏自交不亲和材料HE97亲和性转换区间的研究，依据田间跟踪调查叶龄及室内考种研究了HE97亲和性转换区间的光温临界值，结果表明：1日最低温度是影响HE97自交不亲和性的主要原因，亲和性转换区间在16.5℃～18.1℃之间。2通过HE97自交和姊妹交以及将HE97与郑58作为双亲，各自的花丝一分为二，分别正反交，授粉后4个小时分别取其花丝进行固定、染色，观察花粉管的伸长情况，根据结实率与花粉管伸长的对应关系，结果发现观察到花粉管的对应植株收获到了种子，而没有观察到花粉管的对应植株结实率极低或没有结实，本研究把HE97初步划为孢子体自交不亲和类型。3以HE97为母本，87-1为父本，按4母：1父行比，通过花粉直感效应研究天然异交率，结果母本HE97结实良好(62%)，其中自交粒占70%，异交粒占30%，结合花丝切片观察表明，亲和花粉的萌发及受精会导致落在同一果穗柱头上不亲和花粉的萌发不再受抑制。

Other various scenery are also many by the topic volume, the antithetical couplet, the prefatory remarks and so on each kind of form cast the Confucianist thought to among; But the nearly 30 scenic spots have directly manifested Taoism"s natural boundary or the deity boundary pursue; Chinese tradition esthetics manifested and the imperial authority unification and the formula development in Old Summer Palace; Old Summer Palace makes the scenery mostly is the famous poem celebrated work description ideal condition and the famous painter"s landscape painting reappearance; In Old Summer Palace enables the north and south culture to south botanical garden imitation and the anomalous form design to achieve the fusion and so on manifests the Old Summer Palace landscape all the profound cultural connotation, unfolds the Old Summer Palace landscape is the Qing Dynasty culture carrier characteristic.

其他各景也多以题额、对联、题记等各种形式熔铸儒家思想于其中；而近30处景点直接体现了道家的自然境界或神仙境界的追求；中国传统美学在圆明园中体现出了与皇权的统一和程式化的发展；圆明园造景大多是名诗名作描写的意境和著名画家的山水画的再现；圆明园中对南方园林的模仿和变体设计则使南北文化达到融合等等无不体现出圆明园景观的深刻文化内涵，展现圆明园景观是清代文化载体的特色。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三，本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程，获得了在比以前文献中条件更弱的情况下，结论更广的结果，并且，它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想，为这一新的研究领域奠定了基础。

The existence condition of first and second boundary variation was given with boundary variation method. The numerical method was obtained.

应用测度理论，将经典的变分问题，利用线性分析的方法转化为在几个Randon测度空间中寻找最优测度的有限维线性优化问题；从而得到最优控制律。

It is proved that any n-dimensional(n≥4)compact manifold with totally geodesic boundary which satisfies a pinching condition can be deformed to a space form with totally geodesic boundary.

证明了对于任意一个具有全测地边界的n维紧致流形(n≥4)满足一定的拼挤条件可以形变为具有全测地边界的空间形式。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了