微波消解-电感耦合等离子体质谱法测定养生保健汤料包中16种稀土元素

采用电感耦合等离子体质谱法测定养生保健汤料包中16种稀土元素。采用硝酸-过氧化氢混合液为消化剂对样品进行微波消解,利用电感耦合等离子体质谱法测定16种稀土元素。16种稀土元素的质量浓度在1.0~80μg·L-1范围内呈线性,检出限(3S/N)为0.1~1.7μg·kg-1。方法用于标准物质的分析,测定值与认定值相符。按方法分析样品做精密度试验,测定值的相对标准偏差(n=10)小于5%。方法用于测定12种养生保健汤料中稀土氧化物含量总和在0.127~0.984 mg·kg-1之间。     

投影体的宽度积分和仿射表面积

本文运用凸几何分析理论,建立了投影体的宽度积分和仿射表面积的一些新型Brunn-Minkowski 不等式,这些结果改进了Lutwak的几个有用的定理.作为应用,进一步给出了混合投影体极的Brunn- Minkowski型不等式.     

LOOMIS-WHITNEY'S INEQUALITY ABOUT MIXED BODY

In this article,the authors establish two theorems for mixed body,which are the generalizations of the well-known Loomis-Whitney's inequality.     

液相色谱-质谱联用分离拉呋替丁的顺反异构体

拉呋替丁是一种新型非竞争性组胺H2受体拮抗药，目前正处在报新药阶段。本品存在顺反两种异构体，主要成分为顺(Z-)式异构体，含少量反(E-)式异构体。随着药物构效关系研究的深入，药物异构体的分离分析日益被人重视。到目前为止，分离检测拉呋替丁的顺反异构体未见文献报道。本研究利用聚酰胺型ChiraSpher色谱柱，考察了拉呋替丁的顺反异构体的分离。     

与John基有关的三个等价等式及证明

John基在凸几何分析中占有重要的地位，在凸体空间关系的研究中起着重要的作用．本文研究了John基的基本性质，主要是通过研究与John基有关的三个等价等式，并证明它们的等价性．     

混合投影体的极的不等式

给出了混合投影体的Brunn-Minkowski不等式和Aleksandrov-Fenchel不等式的极形式. 作为应用, 证明了混合体积的Pythagoras不等式的一个推广.     

MID-FACETS OF A SIMPLEX

The mid-facet of a simplex in n-dimensional Euclidean space which was introduced quite recently is an important geometric element. An analytic expression for the mid-facet area of a simplex is firstly given. In order to obtain the expression, the exterior differential method was presented. Furthermore, the properties of the mid-facets of a simplex analogous to median lines of a triangle ( such us for all mid-facets of a simplex,there exists another simplex such that its edge-lengths equal to these mid-facets area respectively, and all of the mid-facets of a simplex have a common point) were proved.Finally, by applying the analytic expression, a number of inequalities which combine edge-lengths, circumradius , median line, bisection area and facet area with the mid-facet area for a simplex were established.     

负P表示非经典光场的信息熵

G.S.Agarwal and K.Tara发现了一个具有负P表示的非经典光场,而此前发现非经典光场的P表示都是奇异的.本文研究了这类负P表示光场的信息熵随场参数m和平均光子数的关系.结果显示,负P表示的非经典光场的Wehrl熵随着场参数m的增大而减小;而当平均光子数增大时,Wehrl熵亦随其增大而减小.同时本文用数值计算的方法研究了负P表示光场的Shannon熵与平均光子数的关系.发现当场参数m一定时,Shannon熵随着平均光子数的增大反而愈来愈小.以上结果表明,当场参数m一定时,随着平均光子数的增大,负P表示光场的非经典性增强;当平均光子数一定时,随着场参数m的增大,负P表示光场的非经典性亦越来越强.这是因为,当m 趋于零时,该光场则演化为经典的热光场;当平均光子数趋于无穷时,该光场则变为Fock态光场.     

Inequalities relating to L_p-version of Petty's conjectured projection inequality

Petty's conjectured projection inequality is a famous open problem in the theory of convex bodies.In this paper,it is shown that an inequality relating to L_p-version of the Petty's conjectured projection inequality is developed by using the notions of the L_p-mixed volume and the L_p-dual mixed volume,the relation of the L_p-projection body and the geometric bodyΓ_(-p)K,the Bourgain-Milman inequality and the L_p-Busemann- Petty inequality.In addition,for each origin-symmetric convex body,by applying the Jeusen inequality and the monotonicity of the geometric bodyΓ_(-p)K,the reverses of L_p-version of the Perry's conjectured projection inequality and the L_p-Petty projection inequality are given,respectively.     

创意性思维在视唱练耳教学中的培养

视唱练耳教学——专项地在音乐听觉和音乐基础理论上对音乐学习者进行有步骤、有条理地训练,使之在长期的受训过程中、在感性和理性上对音乐形成扎实、全面的认识和掌握。主要体现在培养受训