平行直线间的距离的直接求法

在初中《几何》中,求两平行直线间的距离是用间接的方法求出的,即在两平行线中的一条直线上任取一点P_0(x_0,y_0),然后求出这点到另一直线的距离就是所求的结果。这样的方法运算量很大,要间接用到点到直线间距离公式:     

Weakly Convexity and Local Convexity of Orlicz Spaces

The convexity of Orlicz spaces equipped with Luxemburg norm ||·||(M) andOrlicz norm ||·||_M respectively has been discussed for many years.In 1957,Milnesgave a criterion for uniform convexity of(L_M~*,||·||_M)with a long proof.In1965, Sundaresan proved that it was the same case for (L_M~*, ||·||_(M)). In 1976,Turett improved those results and investigated the rotundity of(L_M~*, ||·||_(M)).In1978,Wu Congxin,Zhao Shanzhong,Chen Jun’ao obtained other convenient crite-     

Musielak—Orlicz空间L^p（x）（Ω）的若干凸性

本文研究了一类特殊的Musielak-Orlicz空间Lp(x)(Ω)赋予Luxemburg范数时的严格凸性,局部一致凸性,弱局部一致凸性,中点局部一致凸性与一致凸性.利用Banach空间几何学中刻画凸性的一般方法,并结合一般Musielak-Orlicz空间凸性的判别准则,获得了用p(x)刻画空间Lp(x)(Ω)赋予Luxemburg范数时,上述几种凸性的充分必要条件.     

Al3+对电位滴定仪测定游离酸的干扰及其消除研究

溶液中Al3+易水解,对游离酸的测定存在严重干扰。本文以NaF溶液掩蔽Al3+,用自动电位滴定仪测定含Al3+溶液中的游离酸含量,通过溶液化学分析论证了NaF溶液掩蔽Al3+的可行性。NaF掩蔽-自动电位滴定法测定含Al3+溶液中游离酸含量的精密度实验RSD小于2.0%,方法的加标回收率在98.00%～103.00%之间,与手动滴定法对比可靠性检验结果t=0.25;以上结果表明该方法具有准确度高、重复性好的优点。     

Ultrafast carrier dynamics of Cu2O thin film induced by two-photon excitation

Cuprous oxide (Cu₂O) has attracted plenty of attention for potential nonlinear photonic applications due to its superior third-order nonlinear optical property such as two-photon absorption. In this paper, we investigated the two-photon excitation induced carrier dynamics of a Cu₂O thin film prepared by radio-frequency magnetron sputtering, using the femtosecond transient absorption experiments. Biexponential dynamics including an ultrafast carrier scattering (< 1 ps) followed by a carrier recombination (> 50 ps) were observed. The time constant of carrier scattering under two-photon excitation is larger than that under one-photon excitation, due to the different transition selection rules and smaller absorption coefficient of the two-photon excitation.     

电子俘获材料在光记录中的应用

研究了自行研制的CaS(Eu,Sm)电子俘获材料的光学性质;利用～200μm厚的CaS(Eu,Sm)高聚物膜作为记录底片,进行了实物图象的拍摄实验。这种记录材料具有很多有吸引力的优点:不需要用化学溶液进行定影显影,可以实时读出,可快速擦除,能反复使用,具有大的线性范围等。实验表明,电子俘获材料是一种很有前途的光记录材料。     

On Weak Topology of Sequence Orlicz Spaces

ＯｎＷｅａｋＴｏｐｏｌｏｇｙｏｆＳｅｑｕｅｎｃｅＯｒｌｉｃｚＳｐａｃｅｓＣｈｅｎＳｈｕｔａｏ（陈述涛）（ＨａｒｂｉｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈｅｉｌｏｎｇｊｉａｎｇ，１５００８０）ＳｕｎＨｕｉｙｉｎｇ（孙慧颖）（ＨａｒｂｉｎＩｎｓｔｉｔｕｔ...     

Smoothness and Differentiability of Orlicz Spaces

Smoothness and Differentiability of Orlicz spaces are of importance in applications of the approximation theory, the conditional expectation theory, probability limit theorems and the. nonlinear prediction theory as well as in other applications. They are discussed by Rao. M. M. in many parpers, but there     

钕玻璃的光谱性质

本文分析了Nd³⁺在玻璃中的stark分裂情况,描写了确定荧光能级的实验方法,并给出了钕在四种硅酸盐玻璃中亚稳态和基态能级Stark分裂的实验结果。同时,对十三种不同成份的玻璃,通过光谱实验确定了Nd^{3+ 4}F_3/2态的辐射和无辐射跃迁速率,受激发射截面σ,辐射量子效率η,荧光分支比β和亚稳态寿命τ等激光常用参数。并对实验结果进行了讨论。 关键词：