Characteristic polynomials, spectral-based Riemann-Zeta functions and entropy indices of n-dimensional hypercubes [0.03%]
特征多项式，基于谱的黎曼-扎塔函数和n维超立方体的熵指标
Krishnan Balasubramanian
Krishnan Balasubramanian
Abstract: We obtain the characteristic polynomials and a number of spectral-based indices such as the Riemann-Zeta functional indices and spectral entropies of n-dimensional hypercubes using recursive Hadamard transforms....
The [Formula: see text] function in quantum theory II. Mathematical challenges and paradoxa [0.03%]
量子理论中的[公式见正文中见tex文本]函数II．数学挑战与悖论
Zs É Mihálka,M Nooijen,Á Margócsy et al.
Zs É Mihálka et al.
While the square root of Dirac's δ is not defined in any standard mathematical formalism, postulating its existence with some further assumptions defines a generalized function called γ ( x ) which permits a quasi-classical treat...
N Flores-Gallegos
N Flores-Gallegos
In this work, a new version of Rényi's divergence is presented. The expression obtained is used as a tool to identify molecules that could share some chemical or structural properties, and a data basis set of 1641 molecules is used in this...
Biochemical and phylogenetic networks-II: X-trees and phylogenetic trees [0.03%]
生化和系统发育网络II:X树和系统发生树
R Sundara Rajan,A Arul Shantrinal,K Jagadeesh Kumar et al.
R Sundara Rajan et al.
The present study, which is a continuation of the previous paper, augments a recent work on the use of phylogenetic networks. We develop techniques to characterize the topology of various X-trees and binary trees of biological and phylogene...
Biochemical and phylogenetic networks-I: hypertrees and corona products [0.03%]
生化和系统发育网络I：超树和 Corona 乘积
R Sundara Rajan,K Jagadeesh Kumar,A Arul Shantrinal et al.
R Sundara Rajan et al.
We have obtained graph-theoretically based topological indices for the characterization of certain graph theoretical networks of biochemical interest. We have derived certain distance, degree and eccentricity based topological indices for v...
Descriptors of 2D-dynamic graphs as a classification tool of DNA sequences [0.03%]
作为DNA序列分类工具的二维动态图描述符
Piotr Wąż,Dorota Bielińska-Wąż,Ashesh Nandy
Piotr Wąż
A new tool of the classification of DNA sequences is introduced. The method is based on 2D-dynamic graphs and their descriptors. Using the descriptors created by centers of masses, moments of inertia, angles between the x axis and the princ...
Graphical and numerical representations of DNA sequences: statistical aspects of similarity [0.03%]
DNA序列的图解和数值表示方法：相似性的统计性质
Dorota Bielińska-Wąż
Dorota Bielińska-Wąż
New approaches aiming at a detailed similarity/dissimilarity analysis of DNA sequences are formulated. Several corrections that enrich the information which may be derived from the alignment methods are proposed. The corrections take into a...
A complexity-based measure and its application to phylogenetic analysis [0.03%]
基于复杂性的一种度量及其在系统发生分析中的应用
Xiaoqi Zheng,Chun Li,Jun Wang
Xiaoqi Zheng
In this article, we propose two well-defined distance metrics of biological sequences based on a universal complexity profile. To illustrate our metrics, phylogenetic trees of 18 Eutherian mammals from comparison of their mtDNA sequences an...
Phylogenetic inference from binary sequences reduced by primary DNA sequences [0.03%]
由初级DNA序列减少的二进制序列推断系谱基因组关系
Xiaoqi Zheng,Yongchao Dou,Jun Wang
Xiaoqi Zheng
Given a bi-classification of nucleotides, we can obtain a reduced binary sequence of a primary DNA sequence. This binary sequence will undoubtedly retain some biological information and lose the rest. Here we want to know what kind of and h...
Vladimír Krajňák,Holger Waalkens
Vladimír Krajňák
Recent studies have found an unusual way of dissociation in formaldehyde. It can be characterized by a hydrogen atom that separates from the molecule, but instead of dissociating immediately it roams around the molecule for a considerable a...