关于“拉特马吼级数表示的函数”一文中一个定理的简单证明和推广

王斯雷在[1]中建立了下述定理1。但是他的证明似乎太长,本文指出,这个定理只需用初等微积分的方法就可以很简单地证明出来。用新证明的类似方法我们还可以得到定理2及定理3。定理2将原定理中F(x)连续的条件减弱为近似连续,定理3又在定理2的基础上把定理1进一步推广。定理1.设F(x)是[0,1]上的连续函数,级数     

部分耗尽SOI MOSFET总剂量效应与偏置状态的关系

实验表明SOI MOSFET掩埋氧化层中的总剂量辐射效应与辐射过程中的偏置状态有关. 对诱发背沟道泄漏电流的陷阱电荷进行了研究. 建立一个数值模型来模拟不同偏置下陷进电荷的建立, 它包括辐射产生的载流子复合和俘获的过程. 模拟结果与实验结果相符, 解释了总剂量辐射效应受偏置状态影响的机理.     

一个“特殊”不定方程的六种解法

毕达哥拉斯学派将抽象的数作为万物的本原,认为"万物皆数",试图通过揭示数的奥秘来探索宇宙的真理.因此,他们对数作了深入的研究.并获得了很多重要的结果,其中有很多发现是对后来影响深远的趣味数学问题.     

基于弹性波散射对二维障碍物边界的识别

给出了二维障碍物弹性波散射场的一种近似积分形式 ,基于 Fourier变换法建立了均匀障碍物特征函数与其远场散射振幅中形状因子的关系式 ,最后就基体为锌 ,对圆形和椭圆形截面铁夹杂进行了计算机模拟 ,结果表明该反演方法对定量无损检测技术具有应用价值。     

数学教学中的《启·读·思·讲·练·归》六字教学法

我在数学教学中,用《启·读·思·讲·练·归》的六字教法来培养学生的思维能力。通过两年来的实践,受到了学生的欢迎,收到了良好的效果。 一、六字教法的含义和程序 一般来说,在进行新课的教学时,我大体上是这样安排的:第一,通过谈话,进行启发,根据学     

深度学习与“课程思政”协同效应的策略研究——以医用物理学为例

以医用物理学为载体,以深度学习为核心,以达成"课程思政"对课程和学生的要求为目标,探讨了深度学习与"课程思政"的内在联系,在提出课堂教学困境的基础上,讨论了实现深度学习与"课程思政"协同效应的策略,包括提高参与程度、完善学习过程、建构知识的意义和采用多元评价方式.     

In-situ TEM observation of the evolution of helium bubbles in Mo during He+ irradiation and post-irradiation annealing

The evolution of helium bubbles in purity Mo was investigated by in-situ transmission electron microscopy (TEM) during 30 keV He⁺ irradiation (at 673 K and 1173 K) and post-irradiation annealing (after 30 keV He⁺ irradiation with the fluence of 5.74×10¹⁶ He⁺/cm² at 673 K). Both He⁺ irradiation and subsequently annealing induced the initiation, aggregation, and growth of helium bubbles. Temperature had a significant effect on the initiation and evolution of helium bubbles. The higher the irradiation temperature was, the larger the bubble size at the same irradiation fluence would be. At 1173 K irradiation, helium bubbles nucleated and grew preferentially at grain boundaries and showed super large size, which would induce the formation of microcracks. At the same time, the geometry of helium bubbles changed from sphericity to polyhedron. The polyhedral bubbles preferred to grow in the shape bounded by {100} planes. After statistical analysis of the characteristic parameters of helium bubbles, the functions between the average size, number density of helium bubbles, swelling rate and irradiation damage were obtained. Meanwhile, an empirical formula for calculating the size of helium bubbles during the annealing was also provided.     

一种基于特征值反求的复合材料层合板波动特性的近似修改方法

采用一种特征值反求形式的方法用来近似层状复合板的波动特性修改。通过敏感度分析,确定层合板中能最显著地改变结构波动特性的结构参数为设计变量。采用二阶泰勒展式近似特征值和特征频率相对于设计变量的改变率。计算了不同结构变化时的色散特性,并与精确计算结果进行了比较。结果证明本方法对于层状复合板波动特性修改的近似是可行并且有效的。     

联苯并咪唑化合物的合成、表征与抗癌活性

以联苯四胺、芳香醛为原料,DMF为溶剂,KI为催化剂,在空气存在下回流反应,合成了6种新的联苯并咪唑化合物,产率较高(58.4%～98.0%),其结构用IR、1HNMR、13CNMR、MS、元素分析等测试技术进行了表征。适宜的合成条件是:反应温度150℃,反应时间12h。初步测试表明,目标化合物对培养人肝癌Bel-7402细胞生长有一定抑制活性。     

Formation Mechanism and Stability Study of Konjac Glucomannan Helical Structure

The formation mechanism and stability of konjac glucomannan (KGM) helical structure were investigated by molecular dynamic simulation and experimental method. The results indicate that the molecular conformation of KGM is a non-typical helical structure. In detail, helical structure of KGM is mainly sustained by acetyl group, whose size and stability are affected by the molecular polymerization degree of KGM. In vacuum among the non-bonding interactions, electrostatic force is the greatest factor affecting its helical structure, but in water solution, hydrogen bond affects the helical arrangement greatly. To our interest, temperature exhibits a reversible destroying effect to some extent; the helical structure will disappear completely and present a ruleless clew-like arrangement till 341 K. This work suggests that the method of combining molecular dynamic simulation and experiment tools can be effective in the study of KGM helical structure.