Vertex-disjoint rainbow triangles in edge-colored graphs

Let $G$ be an edge-colored graph of order $n$. The minimum color degree of $G$, denoted by ${\delta }^c\left(G\right)$, is the largest integer $k$ such that for every vertex $v$, there are at least $k$ distinct colors on edges incident to $v$. We say that an edge-colored graph is rainbow if all its edges have different colors. In this paper, we consider vertex-disjoint rainbow triangles in edge-colored graphs. Li (2013) showed that if ${\delta }^c\left(G\right)\ge (n+1)∕2$, then $G$ contains a rainbow triangle and the lower bound is tight. Motivated by this result, we prove that if $n\ge 20$ and ${\delta }^c\left(G\right)\ge (n+2)∕2$, then $G$ contains two vertex-disjoint rainbow triangles. In particular, we conjecture that if ${\delta }^c\left(G\right)\ge (n+k)∕2$, then $G$ contains $k$ vertex-disjoint rainbow triangles. For any integer $k\ge 2$, we show that if $n\ge 16k-12$ and ${\delta }^c\left(G\right)\ge n∕2+k-1$, then $G$ contains $k$ vertex-disjoint rainbow triangles. Moreover, we provide sufficient conditions for the existence of $k$ edge-disjoint rainbow triangles.     

Using multi-exposure of color fringes to measure the beating motion of a moth

A multi-exposure of color fringes method has been developed to improve the capture speed of a conventional color CCD camera. In the method, four groups of projected fringe patterns encoded with different colors and different directions are stored in one CCD frame. Therefore the capture frequency of the conventional CCD can be improved to 200 Hz. It is available to measure the insect wings with low beating frequency, such as dragonfly, moth, or butterfly, whose beating frequency is about 30–40 Hz. We have used the method to measure the beating motion of a moth successfully.     

1-(2-苯并噻唑)-3-(4-偶氮苯基)-三氮烯与汞的显色反应研究及应用

研究了新试剂１－（２－苯并噻唑）－３－（４－偶氮苯基）－三氮烯（ＢＴＰＡＰＴ）与汞的显色反应．在Ｔｗｅｎ－８０存在下，ｐＨ为１１．２０时，Ｈｇ（Ⅱ）与试剂生成红色的１∶１型配合物，最大吸收峰位于５１０ｎｍ，表观摩尔吸光系数为１．１０×１０５Ｌ·ｍｏｌ－１·ｃｍ－１，线性范围０－１４μｇ／２５ｍＬ．建立了可用于饮用水、生活用水和工业废水汞含量测定的方法．     

彩色表面等离子体共振成像初探

自主设计并建立了彩色表面等离子共振成像(Color SPRI, CSPRI)实验系统, 并结合利用自己编制的软件开展了相关研究, 成功地观测到溶液和蛋白点阵的彩色图像. 这些结果显示, CSPRI有可能成为生物分子微点阵(或生物芯片)的一种新型的彩色显示手段.     

滂胺天蓝-氨基糖苷类抗生素的显色反应及其分析应用

在 pH2.0～7.0的条件下 ,滂胺天蓝(PSB)与硫酸卡那霉素(KANA)、硫酸庆大霉素(GEN)和硫酸新霉素(NEO)等氨基糖苷类抗生素反应生成蓝色离子缔合物 ,最大显色波长位于686～690nm ,线性范围分别为0～14.0、0～12.5、0～14.0mg/L ,摩尔吸光系数(ε)分别为1.53×104、1.12×104、1.47×104L/(mol·cm) ;最大褪色波长位于620～622nm ,线性范围分别为0～14.0、0～12.0、0～14.0mg/L ,摩尔吸光系数(ε)分别为1.41×104、1.43×104、2.42×104L/(mol·cm) ;当用双波长叠加法测定时 ,ε值分别为2.94×104、2.55×104、3.89×104L/(mol·cm) ;探讨了适宜的反应条件 ;该法用于市售药物中氨基糖苷类抗生素含量的测定 ,结果令人满意     

锰的催化光度法测定现状与展望

介绍催化光度法测定锰的分析方法，讨论各显色体系中的灵敏度、测定范围和干扰情况，比较了测定锰的显色剂。引用文献58篇。     

1-(2,6-二氯-4-硝基苯)-3-(4-硝基苯)-三氮烯与铜的显色反应研究及其应用

研究了新试剂1-(2,6-二氯-4-硝基苯)-3-(4-硝基苯)-三氮烯(DCNPNPT)与铜(Ⅱ)显色反应。在表面活性剂Tween-80存在下,pH 9.0～10.0范围内,铜(Ⅱ)与DCNPNPT形成1:4黄色配合物,其最大吸收波长为460nm,用双峰双波长法测定,表观摩尔吸光系数为1.I×10~5L·mol~(-1)·cm~(-1)。铜(Ⅱ)含量在0～240μg·L~(-1)范围内符合比耳定律。拟定方法用于铜矿和环境水标样中铜的测定,结果满意。     

某些含二维液晶基元的热致液晶高分子的向列态纹影响构

发现某些含二维液晶基元的热致液晶高分子容易产生反向壁织构与含有高强度有错点（│Ｓ│大于１）的向列态纹影织构。这类液晶高分子的织构与形态学特点与含一维棒状液晶基元的其他液晶高分子不同。