矩形变截面梁的挠曲分析

阐述弹性均质矩形变截面梁挠曲线的近似解法。梁的高度的长度方向呈线性变化，或是二次型抛物线变化，其宽度于线性变化。这种近似解法适用于集中荷载、均布荷载、线性分布荷载以及抛物线型分布荷载的作用情况。     

Reflex optical sensor based on dual metal gratings with high angular sensitivity

An interesting reflection phenomenon in a dual metal grating (DMG) structure is studied, which is related to the competition between Fabry-Prot (F-P) resonance effect and evanescent-field coupling effect inside the gap between the two composing single metal gratings. This competition leads to high angular sensitivity in response to the refractive index variation of the sample solution in the gap. A reflex optical sensor with high sensitivity based on DMG for detecting the change in refractive index is proposed and its performance theoretically is discussed.     

原子吸收光谱法测定不同采收时间栽培与野生羌活药材中微量元素的含量

利用空气-乙炔火焰原子吸收光谱法测定了不同采收时问(5月、6月、7月、8月和9月)的野生与栽培宽叶羌活药材中微量元素Ca,Mg,Fe,Mn,Cu和Zn的含量,应用SPSS16.0分析软件对结果进行统计分析.结果发现:羌活药材含有丰富的微量元素,栽培与野生宽叶羌活药材中微量元素的含量均以Ca元素的含量最高,Cu元素含量最...     

罗布泊遥感影像"耳纹"特征分析及其环境意义

研究典型干旱区的罗布泊,对揭示区域环境演变特征和全球变化具有重要意义.从遥感影像上的"耳纹"特征入手,通过光谱、土壤和地表参数等分析,认为:地表全盐含量和结构差异是形成罗布泊遥感影像"耳纹"特征的直接原因;光谱、全盐含量和土壤粒径的分析结果具有很好的一致性."耳纹"记录下了罗布泊地区的环境演变特征,这些特征表明:受全球环境影响,湖水在气候不断干旱的过程中逐渐干涸,干涸过程的气候调整,使罗布泊地区经历了两次相对湿润的气候环境,前一次较长,后一次很短.     

Evidence for special relativity with de Sitter space-time symmetry

I show the formulation of de Sitter Special Relativity (dS-SR) based on Dirac-Lu-Zou-Guo's discussions. dS-SR quantum mechanics is formulated, and the dS-SR Dirac equation for hydrogen is suggested. The equation in the earth-QSO framework reference is solved by means of the adiabatic approach. It's found that the fine-structure "constant" α in dS-SR varies with time. By means of the t-z relation of the ΛCDM model, α's time-dependency becomes redshift z-dependent. The dS-SR's predictions of Δα/α agree with data of spectra of 143 quasar absorption systems, the dS-space-time symmetry is SO(3,2) (i.e., anti-dS group) and the universal parameter R (de Sitter ratio) in dS-SR is estimated to be R≈2.73×10¹² ly. The effects of dS-SR become visible at the cosmic space-time scale (i.e., the distance ≥ 10⁹ ly). At that scale, dS-SR is more reliable than Einstein SR. The α-variation with time is evidence of SR with de Sitter symmetry.     

A viable method for goodness-of-fit test in maximum likelihood fit

A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.     

“探究功与速度变化的关系”两种实验方案

设计了"斜坡法"和"平抛运动法"两种探究功与速度变化的关系实验方案,并做了讨论和验证.     

用Excel讨论在电阻测量中滑动变阻器的选取

在电学实验中,为了改变电路中的电流或电压,通常用滑动变阻器来控制电路.滑动变阻器在电路中可以采用限流接法,也可以采用分压接法.在选择滑动变阻器时,涉及到两个问题:一是对给定的滑动变阻器,应该选限流接法还是分压接法?     

A class of weighted estimators for additive hazards model in case-cohort studies

Case-cohort sampling is a commonly used and efficient method for studying large cohorts. In many situations, some covariates are easily measured on all cohort subjects, and surrogate measurements of the expensive covariates also may be observed. In this paper, to make full use of the covariate data collected outside the case-cohort sample, we propose＇a class of weighted estimators with general time-varying weights for the additive hazards model, and the estimators are shown to be consistent and asymptotically normal. We also identify the estimator within this class that maximizes efficiency, and simulation studies show that the efficiency gains of the proposed estimator over the existing ones can be substantial in practical situations. A real example is provided.     

带有无界势和一般时间频率的非周期离散非线性Schr#246;dinger方程：无穷多个孤立子

本文研究下面的非周期离散非线性Schrödinger 方程：
-Δu_n + v_nu_n - ωun = g_n（u_n）,n ∈ Z,
其中V = {v_n}_n∈Z 和g_n 都是非周期的,当|n| → +∞ 时,v_n → +∞,并且时间频率ω ∈ R 可以满足下面的任何一种情形：（1）ω 属于算子-Δ + V 的一个有限谱间隔;（2）ω < inf σ（-Δ + V）;（3）ω ∈ σ（-Δ+ V）,其中σ（-Δ+ V）表示-Δ+ V的谱. 本文将用一些局部条件（在无穷远或零处）来代替一些全局条件. 利用变化的喷泉定理,当非线性项在无穷远处是超线性时,本文得到这个方程的无穷多个非平凡孤立子,并且,也得到指数衰减的孤立子的存在性.