Graphical representations and worm algorithms for the O(N) spin model

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.

Generating a 3D Tool to Represent Graphically the Damages of Santa Barbara Castle （Alicante）

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.

Examining data visualization pitfalls in scientific publications

Data visualization blends art and science to convey stories from data via graphical representations.Considering different problems,applications,requirements,and design goals,it is challenging to combine these two components at their full force.While the art component involves creating visually appealing and easily interpreted graphics for users,the science component requires accurate representations of a large amount of input data.With a lack of the science component,visualization cannot serve its role of creating correct representations of the actual data,thus leading to wrong perception,interpretation,and decision.It might be even worse if incorrect visual representations were intentionally produced to deceive the viewers.To address common pitfalls in graphical representations,this paper focuses on identifying and understanding the root causes of misinformation in graphical representations.We reviewed the misleading data visualization examples in the scientific publications collected from indexing databases and then projected them onto the fundamental units of visual communication such as color,shape,size,and spatial orientation.Moreover,a text mining technique was applied to extract practical insights from common visualization pitfalls.Cochran’s Q test and McNemar’s test were conducted to examine if there is any difference in the proportions of common errors among color,shape,size,and spatial orientation.The findings showed that the pie chart is the most misused graphical representation,and size is the most critical issue.It was also observed that there were statistically significant differences in the proportion of errors among color,shape,size,and spatial orientation.

Computational prediction of over-annotated protein-coding genes in the genome of Agrobacterium tumefaciens strain C58

Agrobacterium tumefaciens strain C58 is a type of pathogen that can cause tumors in some dicotyledonous plants.Ever since the genome of A. tumefaciens strain C58 was sequenced, the quality of annotation of its protein-coding genes has been queried continually, because the annotation varies greatly among different databases. In this paper, the questionable hypothetical genes were re-predicted by integrating the TN curve and Z curve methods. As a result, 30 genes originally annotated as ＂hypothetical＂ were discriminated as being non-coding sequences. By testing the re-prediction program 10 times on data sets composed of the function-known genes, the mean accuracy of 99.99% and mean Matthews correlation coefficient value of 0.9999 were obtained. Further sequence analysis and COG analysis showed that the re-annotation results were very reliable. This work can provide an efficient tool and data resources for future studies of A. tumefaciens strain C58.

Origami Fiction： Psychological Horror in Interactive Narrative

One of the most relevant elements in contemporary narrative systems is the atmosphere creation. Even when talking about new digital media, interactive narratives can still be supported by strategies used by former media like cinema and television; namely, character design as well as the setting bonded to architectural space design. These elements are offered to the players through graphic representations that are intended to convey not only an uncanny atmosphere but also an aesthetic experience for psychological horror narratives in videogames. With narrative proposals close to interactive movies, titles like Heavy Rain manage to create a gloomy mood by using basic elements of style such as form, composition, and light, and also open the opportunity to get emotionally involved with the characters through everyday life choices. Even though Heavy Rain is not considered as an action videogame, its narrative audiovisual system is fully able to create enough tension and suspense in order to offer a quite intense aesthetic experience. However, most of its narrative resources are taken from cinema and television audiovisual strategies to tell stories and to hook the audience. Therefore, the study of former narrative systems both as language and human thought and psyche, could allow designers to create more effective interactive narratives for contemporary audiences.

The Role of Technology in the Process of Learning Mathematics

The research was achieved by applying several questionnaires and evaluation tests that have shown the efficacy of using the computer in building active thought and skills in the graphical representation of functions , within a Cartesian reference system xOy. Our research was based on the following hypothesis: if we systematically use, in lessons of algebra and mathematical analysis, the GeoGebra software for drawing the graph of a function, then we shall contribute to building attitudes and competences in using the computer for the graphical representation of functions , within a Cartesian reference system xOy. The purpose of our study is to present a practical computer use model for the students from the Pre- and In-Service Teacher Training Department, “Vasile Alecsandri” University of Bacau, during their pedagogical practice stage of continuous training, aimed at building practical skills in supporting the teaching-learning process with computers. To deal with these issues, we are trying to find the best teaching-learning strategies by using the calculus technique. The research was conducted at the “Stefan cel Mare” National Pedagogical College from Bacau, by assisting 20 lessons of mathematics and 20 lessons of Information and Communication Technology, involving a group of 104 students in the 11th grade. In order to verify the hypothesis, we have established several objectives that orient and guide our activity: knowing the initial level of mathematical training in terms of graphical representation of functions;identifying the frame and reference objectives of the curriculum for mathematical education regarding the graphical representation of functions;designing and conducting a teaching process focused on the use of the computer and the GeoGebra software in learning the graphical representation of functions;final evaluation of the students’ level of training regarding the graphical representation of functions in a plane.

4D Graphical representation research of DNA sequences

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.

A new 2D graphical representation of protein sequence and its application

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.

An Improved Graphic Representation for Structured Program Design

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.