复数运算的金钥匙——“模”

2017年版普通高中数学课程标准对复数版块做了局部调整,增加了复数三角表示.2021年全国新高考统一考试适应性训练和2020届高考数学全国卷(Ⅱ)(理科)对复数深度考查了与“模”有关的运算,本案例举几例复数求模问题,感受“模”在复数运算中的重要地位.     

基于矩阵初等变换的n元函数极值的快速判别法

给出了 n元函数极值的一个充分条件 ,并结合矩阵的初等变换建立了 n元函数极值的一种快速判别法 ,最后给出了一个例子     

双振动合成仪器的设计

指出了用示波器演示双振动合成的不足，设计了BS—Ⅱ型双频调相信号仪，并给出了应用该仪器获得的部分实验图象。     

关于非负随机变量的几个矩不等式

设X是非负随机变量且0相似文献   

广义分布参数系统的状态反馈稳定性问题(1)

关于系统的状态反馈稳定性问题的研究一直是现代控制理论研究的重要问题之一.广义分布参数系统是比分布参数系统更广的一类系统,在研究复合材料热导体中的温度分布等问题时会出现这样的系统.本文讨论了H ilbert空间中一阶广义分布参数系统的状态反馈稳定性问题.应用泛函分析及线性算子半群理论的方法给出了使闭环广义分布参数系统渐进稳定的充要条件,充分条件及状态反馈的构造性表达式.这对研究广义分布参数系统的状态反馈稳定性问题具有重要的理论价值.     

流动注射化学发光法测定硫脲

基于Fe(Ⅲ)氧化硫脲生成Fe(Ⅱ)的反应和Luminol-O2-Fe(Ⅱ)化学发光反应相偶合,建立了流动注射化学发光测定硫脲的方法。方法检出限为4×10-7mol.L-1,RSD为2%(n=11),方法用于白葡萄酒中硫脲的分析测定,结果满意。     

一种新的光致变色膜：Na2WO4-PAA-Glycerol体系研究

A method for preparing Na₂WO₄-PAA-Glycerol photochromic films was reported. The film was composed of Na₂WO₄, PAA and Glycerol, which were coated on a glass substrate. The film turned blue in the sun, and bleached to transparent in the darkness. The UV-Visible spectra showed strong absorbance at 300～500 nm, and the ABS changed signifanctly at 500～800 nm. The film showed the best photochromic behavior when n_Na2WO4∶n_PAA is 4%～5%. The mechanism was suggested that after irradiation, poly tunstate produced by Na₂WO₄ and PAA formed the tungsten blues. The tungsten blues were bleached due to oxidation back to poly tunstate by oxygen. The film showed not only an excellent photochromism property with rapid response and good reversibility, but also the simple techniques and good stability.     

[{Zn(3-SBA)(2，2′-bipy)(H2O)2}·H2O]n的合成和晶体结构研究

A novel coordination ploymer [{Zn(3-SBA)(2,2′-bipy)(H₂O)₂}·H₂O]_n was synthesized by the hydrothermal reaction of 3-Na₂SBA, ZnSO₄·7H₂O and 2,2′-bipy. The structure was characterized by elemental analysis, IR and single crystal X-ray diffraction. The title coordination ploymer crystallized in monoclinic with space group P2₁, a=0.803 42(18) nm, b=1.501 8(3) nm, c=0.821 13(19) nm, β=109.350(4)°. The coordination polymer has an infinite chain structure and its luminescent property has also been studied. CCDC: 282746.     

稀土红色荧光粉SrZnO2∶Eu3+的发光性能

A series of novel luminescent materials, SrZnO₂∶M (M=Eu³⁺, or Eu³⁺ + Li⁺) have been synthesized by high-temperature solid-state reaction. The structure and luminescence properties of SrZnO₂∶Eu³⁺ phosphor were studied through XRD, photoluminescence and Raman spectroscopy. The excitation spectra show a broad intense band and a number of small peaks corresponding to the inner 4f-shell excitations of Eu³⁺ (the strongest one is at 395 nm for ⁷F₀-⁵L₆). After SrZnO₂∶Eu³⁺ phosphor was co-doped with Li⁺ ions, its charge transfer band extended to longer wavelengths. This resulted in increase of luminescent quantum efficiency of the sample. SrZnO₂∶Eu³⁺,Li⁺ phosphor can be efficiently excited by longer UV. From the fluorescence spectrum of SrZnO₂∶Eu³⁺ phosphor, apart from transition emissions of ⁵D₀→ ⁷F_J (J=0～4), the transition emissions from ⁵D₁ → ⁷F_J (J=0～2) have been observed. For the SrZnO₂∶Eu³⁺ phosphor, under excitation of UV, the dominant emission is at about 612 nm, due to the ⁵D₀→ ⁷F₂ hypersensitive transition. The incorporation of Li⁺ ions greatly enhanced the luminescence intensity and made emission peak from ⁵D₀ → ⁷F₂ transition red-shifted.     

首次积分法求Boussinesq 方程的精确尖波解

首次积分法是一种求解非线性偏微分方程精确解的有效方法,利用首次积 分法获得了Boussinesq方程的一个精确尖波解.