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However, the solutions of the Cauchy problem of the nonlinear hyperbolic system generally develop singularities in finite time even if the initial data are small and smooth.For this reason, solutions must be found in the space of discontinuous functions. Therefore, one can not directly use the classical analytic techniques that predominate in the theory of partial differential equations of other types. Instead, we construct approximate solutions via the singular perturbation methods. By using the compactness of the approximate solutions, we can obtain the existence of the solutions of original system.

然而一般而言,即使是在初值很小且光滑的情况下,非线性双曲型守恒律的Cauchy问题的解在有限时间内也会出现奇异性,为此,我们必须在不连续函数空间中寻找上述问题的解,因此对这类问题的研究,我们也不可能直接利用在其它类型的偏微分方程中占主导地位的解析方法来解决问题,而是通过奇异扰动法构造近似解,由近似解的紧性得到原问题解的存在性。

The results show that the depletion layer grows in the form of hyperbolic tangent function of time, the electric field strength at the interface increases with bonding time to its maximum and the field strength in the bulk glass decreases, and that the fulfillment of the anodic bonding is determined by the completion of intimate contact rather than the charge transfer.

结果表明:碱金属离子耗尽层厚度以连接时间的双曲正切函数形式增长;界面电场强度随连接时间单调上升,而耗尽层外的玻璃内电场强度单调下降;电场辅助阳极连接是否完成决定于待连接表面间是否形成紧密接触,而非电荷迁移量是否达到某一恒定值。

"Hester could only account for the child's character- and even then most vaguely and imperfectly- by recalling what she herself had been, during that momentous period while Pearl was imbibing her soul from the spiritual world, and her bodily frame from its material of earth."

海丝特只能靠回忆自己当时的情况来分析这孩子的性格:在珠儿从精神世界汲取自己的灵魂、从世上的物质中形成自己的躯体曲关键内期,她本人如何如何;但这样推断出来的孩子的性格,仍然是十分模糊不全的。

Objective To observe the efficacy of treatment using intra-articular triamcinolone acetonide and sodium hyaluronic in patients with knee osteoarthritis.

目的观察曲安奈德联合玻璃酸钠关节腔内注射治疗骨性膝关节炎的疗效。

We also have observed some organs pathological changes of juvenile Jian Carp, such as pancreas acinous gland and zymogen granules of acinous gland cell disappearing, intercellular substance hyperplasia and inflammatory cells soakage, hepatatrophia, liver cell granular or vacuolar degeneration and necrosis, karyolysis or pyknosis, glycogen granules decreasing, metanephros atrophy, metanephric canaliculus epithelium granular or vacuolar degeneration and necrosis, mitochondrion swelling and mitochondrion cristae disappearing, karyolysis, distal convolutal tubule microvilli desquamating, spleen marrow cell degeneration and necrosis, intercellular substance of spleen hyperplasia, spleen atresia, blood corpuscle disappearing.

后肾土黄色、淡褐色或苍白色,肾小管上皮细胞肿胀、颗粒或水泡变性、坏死,细胞内有大量血细胞流出,线粒体肿胀,嵴结构消失,细胞核溶解,肾间质甲状腺滤泡和拟淋巴细胞增生,远曲小管微绒毛脱落、管道细胞界限不清。心脏肌纤维肿胀、颗粒或空泡变性,严重的肌纤维溶解、变细或断裂,肌纤维间水肿、炎性细胞浸润,部分心肌细胞核浓缩。脾脏暗褐色,脾髓质细胞变性、坏死,拟淋巴细胞明显减少,淋巴细胞岛少见、岛中细胞成份减少,黑素巨噬细胞中心减少、体积缩小,脾脏网状基质水肿,脾窦闭锁,血细胞减少。

In this experiment, 1.5% optimized microbial populations were added. The optimized microbial populations were primarily identified as Pseudomonas, Micrococcus, Actinomayces, Penicillium and Aspergillus.

在实验装置内加入了1.5%的优化菌群制剂,优化出的菌群初步鉴定主要有:假单胞菌属、微球菌属、放线菌属、真菌类的青霉属和曲霉属等。

It also retained a multitrack MIDI sequencer, Styles and Arrangements that allowed players to use it as a band-in-a-box or compositional tool, improved chord recognition with a big graphical display, a joystick and analog volume controls for each accompaniment section.

它还内置了多轨MIDI音序器,自动伴奏和曲风,让演奏者可以把i3当作一个自动的乐队伴奏工具,并提供了和弦识别系统,大型的显示屏,弯音/调制*纵杆和全面的自动伴奏各轨的模拟音量控制。

This relieves stress from the blend force of explosion's impact;any bowing or misshape curves are flattened out by either 3 million pound press, or it's in the cladder, by a series of rollers, known as levelers.

这些修正包括在烘箱加热让金属软化瞬间,以消除爆炸融合引起的应力;用三百万磅的压力压平任何弯曲或曲变;或者用校平辊校正复板内的变形。

Spikelets with 1 floret (very rarely 2), rachilla disarticulating above glumes, with penicillate extension lying against the palea; glumes subequal, usually slightly longer than the floret, rarely slightly shorter, membranous, 1–3-veined, apex acute or acuminate; floret callus bearded, hairs usually 1/3 as long up to about equaling floret; lemma thinly to firmly membranous,(3–)5-veined, dorsally awned or awnless, apex erose, denticulate or 2–4-toothed; awn geniculate or straight, its position varying from near base to near apex, usually inconspicuous, up to twice length of lemma but occasionally reduced to a subapical mucro or absent; palea 2/3 as long to subequaling lemma.

小穗具1小花(极少2),高于颖片,具具毛撮的扩展对内稃躺脱节的小穗轴;通常,近等长的颖片稍长于那些小花,很少稍短,膜质,脉,先端锐尖或渐尖;作为长的可达的通常的公然反对的小花结茧,头发1/3大约等于小花;稀疏外稃到坚定膜,(3-)5-脉,背具芒或者啮蚀状的顶,或者2-4齿状的具小齿,awnless;芒膝曲或者直,作为近相等外稃的长时期的内稃2/3。

The hyperbolic grid generation method which doesn't need to determine the outer boundary of the embedied grid in the Chimera grid and is well controllable for the density of the grid is studied and developed, and in this method the Laplace's smoothing method is used to deal with local corner problem.

1在嵌套网格思想的基础上,研究和发展了嵌套网格方法中不需定义内嵌网格外边界且网格疏密可控性好的双曲型方程网格生成方法,并采用了椭圆光顺技术和当地拐角处理技术。

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I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像,后来回台湾,甚至去年在北京,居然也四处看见她的海报,才惊讶她的魅力之大。

Ah may dee:You are chinese living in a democratic country.

你是居住在民主国家的中国人吧。