Santa Barbara castle is one of the largest fortified complexes of the Spanish Mediterranean coast. Set in a strategic enclave in the city of Alicante. It has been transformed over the centuries since its origin, so th...Santa Barbara castle is one of the largest fortified complexes of the Spanish Mediterranean coast. Set in a strategic enclave in the city of Alicante. It has been transformed over the centuries since its origin, so that nowadays includes numerous buildings inside its area. The fortified area contains several lines bastioned and some medieval and Muslim fronts, composed of quadrangular towers. During the years 2007 and 2008, a research team composed of members from the University of Alicante, the University of Burgos and the Polytechnic University of Catalonia has developed a study on the conservation status of the Castle. This study has been funded through research grants from thc Genemlitat Valenciana （Project GV reference 2007/150）, and an agreement with Manuel PeIAez Foundation. We have generated a 3D object of the whole, composed by clouds of millions points, through laser-scanner in order to manage the analysis of the architectural element＇s conservation status that make up the huge fortified complex. This tool reduced greatly the architectural survey work, providing an extremely accurate. They were developed through the program Pointools View, generating JPEG files, which were imported from Autocad. Later we undertook a comprehensive making of photos -- some 7,000 photographs, which we linked to the 3D object. Thus we have immediate access to the photographs of each element of the Castle from the program Pointools View with a simple click on each 3D element. The graphic representation of damages was done on screen with programs Pointools View and Autocad open simultaneously. This technique has meant better accuracy in the study of conservation status and has greatly reduced the time commitment.展开更多
In this paper, a class of slightly perturbed equations of the form F(x)= ξ -x+αΦ(x) will be treated graphically and symbolically, where Φ(x) is an analytic function of x. For graphical developments, we set up a si...In this paper, a class of slightly perturbed equations of the form F(x)= ξ -x+αΦ(x) will be treated graphically and symbolically, where Φ(x) is an analytic function of x. For graphical developments, we set up a simple graphical method for the real roots of the equation F(x)=0 illustrated by four transcendental equations. In fact, the graphical solution usually provides excellent initial conditions for the iterative solution of the equation. A property avoiding the critical situations between divergent to very slow convergent solutions may exist in the iterative methods in which no good initial condition close to the root is available. For the analytical developments, literal analytical solutions are obtained for the most celebrated slightly perturbed equation which is Kepler’s equation of elliptic orbit. Moreover, the effect of the orbital eccentricity on the rate of convergence of the series is illustrated graphically.展开更多
In this paper,we propose a new 4D graphical representation of DNA primary sequences based on the Z-curve theory.The advantage of our approach is that it has the similar biological significance with the Z-curve,and it ...In this paper,we propose a new 4D graphical representation of DNA primary sequences based on the Z-curve theory.The advantage of our approach is that it has the similar biological significance with the Z-curve,and it does not lose any biological information of the sequence.The geometrical centers of the 4D graphical representation of DNA sequences are used as the numerical characterizations,and the examination of similarities/dissimilarities about the coding sequences of the first exon of β-globin genes of eleven different species shows that this approach can provide satisfactory results.展开更多
Graphical representation of DNA sequences is a key component in studying biological problems. In order to gain new insights in DNA sequences, this paper combined the digitized methods of single-base, base pairs and co...Graphical representation of DNA sequences is a key component in studying biological problems. In order to gain new insights in DNA sequences, this paper combined the digitized methods of single-base, base pairs and coding in triplet bases with the times of base appearing, and then a novel 4D graphical representation method of DNA sequences was put forward. It was a one-to-one correspondence of the arbitrary DNA sequence and 4D graphical representation, that avoided causing non-unique 4D graphical representation and overlapping lines. The method could reflect the biological information features of DNA sequence more comprehensively and effectively without any losses. Based on the 4D graphical representation, we used the geometric center of 4D graphical representation as eigenvalue of DNA sequences analyses, which kept the original features of the data, and then established the Euclidean distances and included angles between vectors＇ ter- minal point for similarity analyses of the first extron of the beta-globulin gene among 11 species. Finally, we established the graph of systematic hierarchical cluster analysis of 11 species to observe more easily the relationship between species. A positive outcome was reached, and the results were in accord with biological taxonomy, which also supported the rationality and effectiveness of the novel 4D graphical representation.展开更多
We present a family of graphical representations for the O(N)spin model,where N≥1 represents the spin dimension,and N=1,2,3 corresponds to the Ising,XY and Heisenberg models,respectively.With an integer parameter 0≤...We present a family of graphical representations for the O(N)spin model,where N≥1 represents the spin dimension,and N=1,2,3 corresponds to the Ising,XY and Heisenberg models,respectively.With an integer parameter 0≤ℓ≤N/2,each configuration is the coupling of ℓ copies of subgraphs consisting of directed flows and N−2ℓ copies of subgraphs constructed by undirected loops,which we call the XY and Ising subgraphs,respectively.On each lattice site,the XY subgraphs satisfy the Kirchhoff flow-conservation law and the Ising subgraphs obey the Eulerian bond condition.Then,we formulate worm-type algorithms and simulate the O(N)model on the simple-cubic lattice for N from 2 to 6 at all possibleℓ.It is observed that the worm algorithm has much higher efficiency than the Metropolis method,and,for a given N,the efficiency is an increasing function ofℓ.Besides Monte Carlo simulations,we expect that these graphical representations would provide a convenient basis for the study of the O(N)spin model by other state-of-the-art methods like the tensor network renormalization.展开更多
Graphical representation is a very efficient tool for visual analysis of protein sequences. In this paper, a novel 2D graphical representation scheme is proposed on the basis of a newly introduced concept, named chara...Graphical representation is a very efficient tool for visual analysis of protein sequences. In this paper, a novel 2D graphical representation scheme is proposed on the basis of a newly introduced concept, named characteristic model of the protein sequences. After obtaining the 2D graphics of protein sequences, two numerical characterizations of them is designed as descriptors to analyze the nine DN5 protein sequences, simulation and analysis results show that, comparing with existing methods, our method is not only visible, intuitional, and simple, but also has no circuit or degeneracy, and even more important, since the storage space required by our method is constant and has nothing to do with the length of protein sequences, then it can keep excellent visual inspection for long protein sequences.展开更多
In this paper,an improved graphic representation for Structured Program Design——N-S-Z (Nassi-Shneiderman-Zhou Diagram)is proposed.It not only preserves the advantages of the conventional graphic and non-graphic repr...In this paper,an improved graphic representation for Structured Program Design——N-S-Z (Nassi-Shneiderman-Zhou Diagram)is proposed.It not only preserves the advantages of the conventional graphic and non-graphic representations,but also adds some new features which will enhance the representa- tive power of the original diagram.展开更多
文摘Santa Barbara castle is one of the largest fortified complexes of the Spanish Mediterranean coast. Set in a strategic enclave in the city of Alicante. It has been transformed over the centuries since its origin, so that nowadays includes numerous buildings inside its area. The fortified area contains several lines bastioned and some medieval and Muslim fronts, composed of quadrangular towers. During the years 2007 and 2008, a research team composed of members from the University of Alicante, the University of Burgos and the Polytechnic University of Catalonia has developed a study on the conservation status of the Castle. This study has been funded through research grants from thc Genemlitat Valenciana （Project GV reference 2007/150）, and an agreement with Manuel PeIAez Foundation. We have generated a 3D object of the whole, composed by clouds of millions points, through laser-scanner in order to manage the analysis of the architectural element＇s conservation status that make up the huge fortified complex. This tool reduced greatly the architectural survey work, providing an extremely accurate. They were developed through the program Pointools View, generating JPEG files, which were imported from Autocad. Later we undertook a comprehensive making of photos -- some 7,000 photographs, which we linked to the 3D object. Thus we have immediate access to the photographs of each element of the Castle from the program Pointools View with a simple click on each 3D element. The graphic representation of damages was done on screen with programs Pointools View and Autocad open simultaneously. This technique has meant better accuracy in the study of conservation status and has greatly reduced the time commitment.
文摘In this paper, a class of slightly perturbed equations of the form F(x)= ξ -x+αΦ(x) will be treated graphically and symbolically, where Φ(x) is an analytic function of x. For graphical developments, we set up a simple graphical method for the real roots of the equation F(x)=0 illustrated by four transcendental equations. In fact, the graphical solution usually provides excellent initial conditions for the iterative solution of the equation. A property avoiding the critical situations between divergent to very slow convergent solutions may exist in the iterative methods in which no good initial condition close to the root is available. For the analytical developments, literal analytical solutions are obtained for the most celebrated slightly perturbed equation which is Kepler’s equation of elliptic orbit. Moreover, the effect of the orbital eccentricity on the rate of convergence of the series is illustrated graphically.
基金supported by the National Natural Science Foundation of China (Grant Nos.20973085 and 10831001) Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20090211110006)
文摘In this paper,we propose a new 4D graphical representation of DNA primary sequences based on the Z-curve theory.The advantage of our approach is that it has the similar biological significance with the Z-curve,and it does not lose any biological information of the sequence.The geometrical centers of the 4D graphical representation of DNA sequences are used as the numerical characterizations,and the examination of similarities/dissimilarities about the coding sequences of the first exon of β-globin genes of eleven different species shows that this approach can provide satisfactory results.
基金The work was supported by the National Natural Science Foundation of China （Grant No. 11271163） and by the Fundamental Research Funds for the Central Universities （JUSRP51317B）.
文摘Graphical representation of DNA sequences is a key component in studying biological problems. In order to gain new insights in DNA sequences, this paper combined the digitized methods of single-base, base pairs and coding in triplet bases with the times of base appearing, and then a novel 4D graphical representation method of DNA sequences was put forward. It was a one-to-one correspondence of the arbitrary DNA sequence and 4D graphical representation, that avoided causing non-unique 4D graphical representation and overlapping lines. The method could reflect the biological information features of DNA sequence more comprehensively and effectively without any losses. Based on the 4D graphical representation, we used the geometric center of 4D graphical representation as eigenvalue of DNA sequences analyses, which kept the original features of the data, and then established the Euclidean distances and included angles between vectors＇ ter- minal point for similarity analyses of the first extron of the beta-globulin gene among 11 species. Finally, we established the graph of systematic hierarchical cluster analysis of 11 species to observe more easily the relationship between species. A positive outcome was reached, and the results were in accord with biological taxonomy, which also supported the rationality and effectiveness of the novel 4D graphical representation.
基金supported by the National Natural Science Foundation of China(under Grant No.12275263)the Innovation Program for Quantum Science and Technology(under Grant No.2021ZD0301900)the Natural Science Foundation of Fujian Province of China:2023J02032.
文摘We present a family of graphical representations for the O(N)spin model,where N≥1 represents the spin dimension,and N=1,2,3 corresponds to the Ising,XY and Heisenberg models,respectively.With an integer parameter 0≤ℓ≤N/2,each configuration is the coupling of ℓ copies of subgraphs consisting of directed flows and N−2ℓ copies of subgraphs constructed by undirected loops,which we call the XY and Ising subgraphs,respectively.On each lattice site,the XY subgraphs satisfy the Kirchhoff flow-conservation law and the Ising subgraphs obey the Eulerian bond condition.Then,we formulate worm-type algorithms and simulate the O(N)model on the simple-cubic lattice for N from 2 to 6 at all possibleℓ.It is observed that the worm algorithm has much higher efficiency than the Metropolis method,and,for a given N,the efficiency is an increasing function ofℓ.Besides Monte Carlo simulations,we expect that these graphical representations would provide a convenient basis for the study of the O(N)spin model by other state-of-the-art methods like the tensor network renormalization.
基金Acknowledgments The authors thank the anonymous referees for suggestions that helped to improve the paper substantially. And the project is partly sponsored by the Colleges and Universities Open Innovation Platform Fund of Hunan Province （No. 13K041）, the Hunan Provincial Natural Science Foundation of China （No. 14JJ2070）, the construct program of the key discipline in Hunan province, the State Educa- tion Ministry Scientific Research Foundation for the Returned Overseas Chinese Scholars, the Introduced Talent Start-up Fund Project of Xiangtan University （No. 11QDZ45）.
文摘Graphical representation is a very efficient tool for visual analysis of protein sequences. In this paper, a novel 2D graphical representation scheme is proposed on the basis of a newly introduced concept, named characteristic model of the protein sequences. After obtaining the 2D graphics of protein sequences, two numerical characterizations of them is designed as descriptors to analyze the nine DN5 protein sequences, simulation and analysis results show that, comparing with existing methods, our method is not only visible, intuitional, and simple, but also has no circuit or degeneracy, and even more important, since the storage space required by our method is constant and has nothing to do with the length of protein sequences, then it can keep excellent visual inspection for long protein sequences.
文摘In this paper,an improved graphic representation for Structured Program Design——N-S-Z (Nassi-Shneiderman-Zhou Diagram)is proposed.It not only preserves the advantages of the conventional graphic and non-graphic representations,but also adds some new features which will enhance the representa- tive power of the original diagram.
