凸函数判定及其应用

给出了凸函数的判定定理及其证明，并通过例题说明了判断方法的应用。     

关于压缩映射原理的若干注记

在研究压缩映射原理的基础上，引入非扩展映射、广义压缩映射概念并讨论它们的性质。其结果推广了文献[1—8]的相关结论。     

在定理教学中培养学生创新能力

数学定理不仅表达了重要的数学事实,而且集中地反映了数学思想、数学方法,反映了前人探究和创新的成果,是提高数学素养的好材料.在定理教学中应让学生探究和创新,具体方法是:设计发现过程,培养创新精神;推敲引申,培养创新思维;鼓励创新,激发学习兴趣.     

无穷远元素在初等几何中的应用

讨论利用无穷远元素和Desargues定理证明初等几何中的共点与共线的问题，并就Desargues定理中的透视中心或透视轴为无穷远点或无穷远直线的情况作了讨论．     

Seismic ductility of very-high-strength-concrete short columns subject to combined axial loading and cyclic lateral loading

The seismic ductility of reinforced very-high-strength-concrete (VHSC) short columns was studied by combinatively applying axial load and low cyclic lateral load on specimens to simulate seismic impact. Twelve specimens with concrete compressive strength ranging from 95.6 MPa to 118.6 MPa and a shear-span ratio of 2.0 were tested for shear failure pattern and fear force-displacement hysteretic responses. Combinative application of axial load and low cyclic lateral load to VHSC short columns incurs shear failure. The displacement ductility is much smaller when the axial load ratio is larger;whereas a larger stirrup ratio is accompanied with a better displacement ductility. The relationship of displacement ductility factor, μ?, with stirrup characteristic value, λv, and test axial load ratio, nt, is μ?=(1 8λv)/(0.33 nt). By this relationship and relevant codes for aseismatic design, the axial load ratio limits for aseismatic design of reinforced VHSC (C95 to C100) short columns for frame construction are respectively 0.5, 0.6, and 0.7 for seismic classes I, II, and Ⅲ;corresponding minimum characteristic values of stirrups are calculated according to the required characteristic values of at least 1.273 times of experimental results. These data are very useful to aseismatic engineering.     

高精度快速测谱仪的设计原理与方法

文章对双光路差动平衡光学原理方法研制成的光谱透射率反射率测量仪和双通道补偿法研制成的ＣＣＤ（电荷耦合器件）快速分光光度计的特点和问题进行了分析，提出了设计高精度快速测谱仪的原理方法，以便为高精度快速测量光谱反射率，透射率或高精度快速测色提供新的仪器。     

Reliability testing and reliability analysis of the over-load protective relay

The over-load protective relay is widely used for motor protection. The reliability of the over-load protective relay directly affects the safe running of a motor. The reliability testing and reliability analysis of the over-load protective relay is an important way to improve the reliability of products. In this paper, the reliability test method of the over-load protective relay is studied, and the reliability tests of the typical products are carried out on a reliability tester developed by authors. In terms of the testing results, the reliability analysis is finished. The failure reasons are found and the measures are put forward to improve the reliability of the products.     

关于柯西微分中值定理的几点注记

对《关于微分中值定理的一点思考》〔1〕作了几点注记,并将三个函数的柯西定理推广到n个函数的情况.     

关于第一类曲线积分中值定理"中间点"的渐近性

讨论了第一类曲线积分中值定理"中间点"的渐近性,得到了更具一般性的新结果.     

关于残数定理的一些应用

残数定理是复变函数论中的基本理论，它有着十分重要的应用。本文阐述了残数定理在计算定积分，广义积分，级数求和等方面的应用。