介值

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

The intermediate value theorem for discontinuous function is studied,the problem of discontinuous points when the left and right limit exists is considered by ZHU Le-min.

研究了非连续函数的介值定理，受朱乐敏等考虑的具有左、右极限存在的跳跃间断点的非连续函数的介值性定理的启发，利用上、下极限把介值定理推广到具有一般间断点的非连续函数的情况。

In this paper,we generalize the intermediate value theorem from continuous to discontinuous .

本文将连续函数的介值定理推广到间断的情况，文中的思想方法在其他领域如数论中也是有用的。

For example, basic tools from calculus such as Fermat theorem, Rolle theorem and the intermediate value theorem may not necessarily hold and fundamental concepts such as chain and product rules and certain smoothness properties all need to be modified.

例如，微积分中的基本工具诸如Fermat定理、Rolle定理以及介值定理不再成立，一些基本的概念诸如链式法则、乘积公式以及某些光滑性都需要做适当的修正。

We proved the second mean value theorem of integral with intermediate value of continuous function and absolute continuity of integral, and determine that is true even in the infinity interval with same method.

用连续函数的介值性和积分的绝对连续性证明了积分第二中值定理，并用同样的方法证明了当区间为无穷区间时的积分第二中值定理。

For example,basic tools from calculus such as Fermat theorem,Rolle theorem and the intermediate value theorem may not necessarily hold and it is difficult to find a universal program for simulation in a model with various timescales,which attract attention of great deal researchers.In this PhD thesis,we first consider classification schemes for positive solutions of the first and second order dynamic systems.

在探讨测度链上的动力方程的动力学行为时人们所熟悉的基本工具诸如Fermat定理，Rolle定理以及介值定理等不再成立，同时很难找到适应不同测度链的模拟程序，这些在给测度链理论研究带来诸多困难的同时，也更引起了广大学者的兴趣。

The influence of different assembled condition such as assembly method, concentration of zirconium source and pH value on the effectiveness of assembly were evaluated via DSC-TG, FT-IR, Uv-vis and SAXRD et al. It showed that the assembly effectivness of uncalcined 3 Si/Zr_10# sample was best.c The optical characteristic, which including light-conduction in infrared band and polarity in visible band, of dip-coating film and membrane assembled zirconia after processing parameters of assembly optimized were observed via FT-IR and Uv-vis. The polarity was characterized by polarizing angle through calculation from light-transmittance, light-reflectance and fresnel coefficient. qualitative analysis showed that the polarity of Si/Zr_10 # dip-coating film assembled was best.d Adopting zirconium oxychloride as zirconium source, CTAB as template, employing different CTAB adding sequence, two mesoporous zirconia samples were prepared. The template effect of two samples was discussed. It showed that the effect of the sample which CTAB adding sequence was same as mesoporous silica film was better. The light-conduction in infrared band of these samples was also studied, which offered comparison to the polarity of zirconium dioxide assembled within mesopore.

结果显示：组装条件优化后的uncalcined 3 Si/Zr_10#厚膜样组装效果最好，其组装液对应的pH值最利于该锆源离子模板交换组装； c选用FT-IR、Uv-vis对组装条件优化后纳米氧化锆/介孔氧化硅厚膜、纳米氧化锆/介孔氧化硅薄膜包括红外导光性、可见光区内的偏光性在内的光学特性进行了分析，其中偏光性以膜层透光性、反光性及菲涅耳系数计算出的偏振角即布儒斯特角表征，定性分析显示，Si/Zr_10#ZrO_2/介孔氧化硅厚膜偏光性最好； d以氧氯化锆ZrOCl_2·8H_2O为锆源，CTAB为模板剂，采用不同的模板剂加入顺序，探索性地制备两介孔氧化锆样，分析了两介孔氧化锆样的模板效果，得出模板剂加入顺序同介孔氧化硅薄膜时介孔氧化锆样的模板效果较好，并分析了所得样品的导光性，为锆氧粒子引起的附加光学特性分析提供了参考和对比。

For one-dimensional mesoscopic metal rings system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current relation in mesoscopic metal rings is given by solving the eigenvalue equation of the current, the property of quantum current have been investigated and analysed.

针对处于外磁场中的一维介观环系统，假设在电荷空间中具有变换的对称性，通过求解电流算符的本征值方程，给出系统中的量子电流关系，分析和研究一维介观金属环中量子电流的性质。结果表明，量子电流不仅与外磁场、介观金属环参数有关，而且还明显地依赖于电荷的量子化性质

In this thesis, there are two types of varactors used in the VCO: one is the Philips' BB135 p-n junction capacitor; the other is Al/HfO2/Si capacitor with HfO2 dielectric. Because the dielectric constant of HfO2 is larger than that of SiO2, the capacitance of Al/HfO2/Si capacitor will be larger than that of MOS capacitor with the same thickness and area. Therefore, there will be larger unit voltage for adjusting the ratio of the capacitance values of the capacitors.

在本论文实验的VCO电路中之可变电容有2种：一种是飞利浦厂商所提供型号为BB135之P-N接面电容；第二种是自制的Al/HfO2/Si电容是使用二氧化铪（HfO2）来做为电容的介电材料，因为HfO2介电常数比氧化矽（SiO2）大，目的是要在相同厚度以及面积下，就可以有较大的电容值，希望能藉此有较大的单位电压改变电容值的比值。

The main research tasks and results are as follows:(1) Through comparing the stress intensity factor of compact tension specimen calculated by finite element software with the theoretical value, the feasibility of calculating fracture parameters of crack tip in ABAQUS software was verified.(2) The relationship between the elastic modulus of the material and research scale was studied based on deriving the cohesive stress theory and other relevant theories. And the elastic modulus of the material on meso-scale was determined.(3) Global model and sub-model of the finite element were built in th...e macro-scale, and stress-strain field nearby the crack tip was analyzed, and the results show that the detailed stress-strain in the crack tip could be obtained by using the sub-model technique.(4) In meso-scale, the crack growth model was also established by assuming the crack propagating along the grain boundary, and the detailed stress-strain field in the crack tip was obtained.(5) The effect of crack length on Von Mises stress, and maximum principal stress and strain was analyzed in meso-scale when equivalent KI equals 30MPa.m1/2. And the results show that except for crack tip area, the stress-strain distribution in whole specimen is not affected.

主要完成研究内容和取得成果如下：(1)利用有限元软件计算出紧凑拉伸试样的裂纹尖端应力强度因子KI值，其结果与理论值一致，从而验证了利用ABAQUS计算裂纹尖端相关断裂参量的可行性；(2)在研究内聚应力等相关理论的基础上，推导出了研究尺度与材料弹性模量的近似关系，并确定了介观尺度上的弹性模量；(3)在宏观尺度上建立了全局有限元计算模型和子模型，得到了裂纹尖端应力应变场分布，结果表明利用子模型技术获得比较准确的裂纹尖端应力应变场分布是可行的；(4)在介观尺度上利用平均晶粒尺度的方式建立了裂纹沿晶扩展模型，得到了裂纹尖端断裂过程区的微观应力应变场；(5)当应力强度因子为30MPa.m1/2时，分析了介观尺度上在裂纹沿晶扩展过程中裂纹长度对Mises应力、最大主应力和应变的影响，结果表明，裂纹扩展长度对试样整体应力应变分布影响不大，而对裂纹尖端区域有较大影响；(6)介。。。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。