基于Hg^(2+)与纳米金球结合后对四甲基联苯胺(TMB)和H 2 O 2比色反应具有的催化作用,首先,得出了Hg^(2+)浓度和此反应的结果在650 nm处吸收峰值呈良好的线性关系,相关系数(R^(2))为0.9931。然后,通过在普通硫酸纸上修饰了纳米金球、TMB...基于Hg^(2+)与纳米金球结合后对四甲基联苯胺(TMB)和H 2 O 2比色反应具有的催化作用,首先,得出了Hg^(2+)浓度和此反应的结果在650 nm处吸收峰值呈良好的线性关系,相关系数(R^(2))为0.9931。然后,通过在普通硫酸纸上修饰了纳米金球、TMB等反应试剂,实现了纸基Hg^(2+)比色检测。建立了针对纸基比色图像的支持向量机(SVM)分类器,通过优化调整相关参数,以准确率对模型进行评价。结果表明:模型最优选择为线性核函数、惩罚系数C=0.1、核函数参数g=1,可实现Hg^(2+)浓度等级的判别,准确率为93.3%。开发了新型安卓手机检测App软件,可实现快速分析Hg^(2+)的浓度等级,识别准确率可达91.1%。该研究作为一种新型Hg^(2+)快速检测手段,可应用于饮用水、环境水质检测等快速检测场合,也为其他重金属离子的半定量检测提供了可行的思路。展开更多
The concept of paraunitary two-scale similarity transform （PTST） is introduced. We discuss the property of PTST, and prove that PTST preserves the orthogonal, approximation order and smoothness of the given orthogon...The concept of paraunitary two-scale similarity transform （PTST） is introduced. We discuss the property of PTST, and prove that PTST preserves the orthogonal, approximation order and smoothness of the given orthogonal multiscaling functions. What is more, by applying PTST, we present an algorithm of constructing high order balanced multiscaling functions by balancing the already existing orthogonal nonbalanced multiscaling functions. The corresponding transform matrix is given explicitly. In addition, we also investigate the symmetry of the balanced multiscaling functions. Finally, construction examples are given.展开更多
In this paper, based on existing symmetric multiwavelets, we give an explicit algorithm for constructing multiwavelets with high approximation order and symmetry. Concretely, suppose Φ(x) := (φ1(x), . . . , φr(x))T...In this paper, based on existing symmetric multiwavelets, we give an explicit algorithm for constructing multiwavelets with high approximation order and symmetry. Concretely, suppose Φ(x) := (φ1(x), . . . , φr(x))T is a symmetric refinable function vectors with approximation order m. For an arbitrary nonnegative integer n, a new symmetric refinable function vector Φnew(x) := (φn1 ew(x), . . . , φrn ew(x))T with approximation order m + n can be constructed through the algorithm mentioned above. Additionally, we reveal the relation between Φ(x) and Φnew(x). To embody our results, we construct a symmetric refinable function vector with approximation order 6 from Hermite cubics which provides approximation order 4.展开更多
文摘基于Hg^(2+)与纳米金球结合后对四甲基联苯胺(TMB)和H 2 O 2比色反应具有的催化作用,首先,得出了Hg^(2+)浓度和此反应的结果在650 nm处吸收峰值呈良好的线性关系,相关系数(R^(2))为0.9931。然后,通过在普通硫酸纸上修饰了纳米金球、TMB等反应试剂,实现了纸基Hg^(2+)比色检测。建立了针对纸基比色图像的支持向量机(SVM)分类器,通过优化调整相关参数,以准确率对模型进行评价。结果表明:模型最优选择为线性核函数、惩罚系数C=0.1、核函数参数g=1,可实现Hg^(2+)浓度等级的判别,准确率为93.3%。开发了新型安卓手机检测App软件,可实现快速分析Hg^(2+)的浓度等级,识别准确率可达91.1%。该研究作为一种新型Hg^(2+)快速检测手段,可应用于饮用水、环境水质检测等快速检测场合,也为其他重金属离子的半定量检测提供了可行的思路。
基金supported by the National Natural Science Foundation of China(Grant Nos.90104004 and 10471002)the 973 Project of China(Grant Nos.G1999075105)+1 种基金the Natural Science Foundation of Guangdong Province(Grant Nos.032038,05008289)the Doctoral Foundation of Guangdong Province(Grant No.04300917).
文摘The concept of paraunitary two-scale similarity transform （PTST） is introduced. We discuss the property of PTST, and prove that PTST preserves the orthogonal, approximation order and smoothness of the given orthogonal multiscaling functions. What is more, by applying PTST, we present an algorithm of constructing high order balanced multiscaling functions by balancing the already existing orthogonal nonbalanced multiscaling functions. The corresponding transform matrix is given explicitly. In addition, we also investigate the symmetry of the balanced multiscaling functions. Finally, construction examples are given.
基金supported by the Natural Science Foundation of Guangdong Province (Grant Nos. 05008289,032038)the Doctoral Foundation of Guangdong Province (Grant No. 04300917)
文摘In this paper, based on existing symmetric multiwavelets, we give an explicit algorithm for constructing multiwavelets with high approximation order and symmetry. Concretely, suppose Φ(x) := (φ1(x), . . . , φr(x))T is a symmetric refinable function vectors with approximation order m. For an arbitrary nonnegative integer n, a new symmetric refinable function vector Φnew(x) := (φn1 ew(x), . . . , φrn ew(x))T with approximation order m + n can be constructed through the algorithm mentioned above. Additionally, we reveal the relation between Φ(x) and Φnew(x). To embody our results, we construct a symmetric refinable function vector with approximation order 6 from Hermite cubics which provides approximation order 4.
