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The traditional virtual boundary integral expression is based on the extension of single layer potential, for the integral formulas related to single layer potential for parabolic problem, the numerical computation of the exponential integral function is unavoidable.

通常的虚边界积分公式是利用单层位势的延拓来建立虚边界元积分方程，但对带时间变量的单层位势，要涉及到指数积分函数的计算。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

On the basis of the kinetic equation of substrate reaction in the presence of urea or guanidine hydrochloride, all microscopic kinetic constants for the free enzyme and enzyme-substrate binary and ternary complexes have been determined. The results of the present studies indicate that:①In the presence of urea or guanidine hydrochloride, enzyme-substrate complexes lose their activity less rapidly than the free enzyme. Therefore, both substrates, NADPH and 7, 8-dihydrofolate, protect dihydrofolate reductase against inactivation.②The denaturation of dihydrofolate reductase by urea follows single-phase kinetics, and changes in enzyme activity and tertiary structure proceed simultaneously in the unfolding process, so it may be an"all or none"process.③The GdnHCl-induced unfolding of the dihydrofolate shows a biphasic transition, while the change in the enzyme activity is a single exponential process. The rate constant of inactivation is consistent with that of the fast conformational change. Therefore, the kinetic intermediate of protein unfolding should be a partially folded and inactive form.

我们根据在脲或盐酸胍存在下的底物反应动力学方程求得游离酶和酶底物二元、三元复合物的微观动力学常数，结果表明：①酶-底物二元、三元复合物的失活速度明显慢于游离酶，说明两个底物二氢叶酸和NADPH对酶的失活都具有一定程度的保护作用；②在脲作用下，酶的失活和构象变化均为单指数项过程，而且酶的活力丧失和三级结构变化是同时发生的，说明二氢叶酸还原酶的脲变性可能是一个"全或无"的两态过程；③在盐酸胍作用下，酶的构象变化为两相过程，而失活则是单指数项过程，酶分子构象变化的快相速度常数与失活速度常数基本一致，因此我们认为二氢叶酸还原酶的盐酸胍变性过程中存在一个没有活力、但仍具备一定空间结构的变性中间体。

Studies on statistical properties of spontaneous spike trains of single auditory nerve have shown that the distributing patterns of interval in spike trains represent Poisson distribution. Since Poisson distribution is one of the simplest stochastic processes, previous studies on spontaneous spike trains of single auditory nerve were performed primarily by assuming them as stochastic processes. Recently, further studies on nonlinear dynamic system show that we have not enough evidence to demonstrate the process, whose distribution of probability density is exponential, is Poisson process.

中文题名豚鼠听神经单纤维放电序列的非线性特性分析副题名外文题名 Analysis on nonlinear properties in spike trains of single auditory nerve fiber in guinea pig 论文作者林龙年导师孙心德教授学科专业生理学研究领域\研究方向听觉神经生物学学位级别博士学位授予单位华东师范大学学位授予日期2001 论文页码总数91页关键词听神经听觉神经生理豚鼠馆藏号BSLW /2001 /Q42 /41 对听神经单纤维自发放电序列的统计特性研究表明，听神经单纤维放电间隔呈泊松分布，而泊松过程是最简单的随机过程之一，因此以往的研究主要将听神经单纤维自发放电序列作为随机过程来处理。

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本机由卷筒电动支架、单面瓦楞纸板成型机、旋转式剪纸机组成，使用卷筒纸和薯类或玉米淀粉粘合剂，可连续生产并剪切所需规格的单面瓦楞纸板，生产的纸板不必再烘干，同胶水机或贴面机配合使用，可生产三层以上的瓦楞纸板，具有结构合理、工艺先进、生产纸板质量好、效率高、劳动强度低、操作方便等特点，是生产纸箱的理想设备。

DESIGN: Single sample and single factor analysis.

设计：单一样本单因素分析。

BILL decides he goes buying razor, he is covering single-handed half face, just touched doorknob hand single-handed, play suddenly on the door give mouth of a fenestella: This hotel was offerred for you round-the-clock comfortable and clinking service, if you left a room, you will not enjoy overall service.

BILL决定自己去买刮胡刀，他一手捂着半边脸，一手刚触到门把手，门上突然弹出一个小窗口：本旅馆为您提供了全天候舒适无比的服务，如果您离开了房间，您将享受不到全面的服务。

Kinetic analysis revealed that no single equation fitted the whole -t curve with a single rate constant.

运动的分析显示没有独身者相等适合那全部-t 曲线与比率常数。

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The Porsche Owner: But it's my car!

可，这是我的车呀。

LOX_83}{Oh, another bunch of wackos.

{LOX_83}{呃，又一群怪人。