• Kyungpook Mathematical Journal
• /
• v.57 no.1
• /
• pp.145-161
• /
• 2017

If a virtual knot diagram can be transformed to another virtual one by a finite sequence of crossing changes, Reidemeister moves and virtual moves then the two virtual knot diagrams are said to be homotopic. There are infinitely many homotopy classes of virtual knot diagrams. We give necessary conditions by using polynomial invariants of virtual knots for two virtual knots to be homotopic. For a sequence S of crossing changes, Reidemeister moves and virtual moves between two homotopic virtual knot diagrams, we give a lower bound for the number of crossing changes in S by using the affine index polynomial introduced in [13]. In [10], the first author gave the q-polynomial of a virtual knot diagram to find Reidemeister moves of virtually isotopic virtual knot diagrams. We find how to apply Reidemeister moves by using the q-polynomial to show homotopy of two virtual knot diagrams.

• Asia pacific journal of information systems
• /
• v.9 no.1
• /
• pp.193-209
• /
• 1999

Developing Information Systems is a process of decomposing the entire systems into sub systems and identifying a hierarchical structure among the sub systems. Diagrammatic representation of hierarchy is an essential part of systems development since the identified hierarchical structures are usually presented in diagrams. The main goal of this research is to identify the most effective ways of representing system structures using diagrams. In order to achieve the main goal, this study performed three phases of research. In the first step, a theoretical model was constructed to conceptually explain users' comprehension on diagrams. Then visual factors of diagrammatic representations were identified based on the diagrams used in systems development. Finally, three consecutive experiments were conducted to identify the impacts of visual factors on the level of users' comprehension. The results indicate that familiarity and affordance of diagrams affect the degree of comprehension about the diagrams, which is in turn influenced by the complexity of tasks and the types of hierarchies. This paper concludes with the limitations of the study results and implications in the development of information systems.

• Journal of Advanced Information Technology and Convergence
• /
• v.9 no.1
• /
• pp.67-76
• /
• 2019

Recently, with the advent of the software-based society, many organizations have been providing software developing education, such as coding, to Computer Science majors and non-Computer Science majors. When implementing a program, teachers can let students draw a variety of diagrams, such as flowcharts, UML diagrams, and ERD diagrams ahead. As the importance of computational thinking is increasingly emphasized, abstracting algorithms into diagrams is considered an important educational element. In this paper, we examined the visual literacy and abstract/concrete way of thinking of novice programmers in order to analyze factors affecting the abstraction process of drawing diagrams, and how they influence students' ability to understand diagrams and ability to draw. If we understand what factors influence the abstraction process in this study, we can suggest educational alternatives for future strategies in which teachers will teach students.

• East Asian mathematical journal
• /
• v.25 no.4
• /
• pp.487-494
• /
• 2009

We show that if two virtual link diagrams which are normal are equivalent under generalized Reidemeister moves, then they are equivalent under generalized Reidemeister moves preserving the normality of diagrams.

• The Journal of Korean Medical History
• /
• v.29 no.2
• /
• pp.17-33
• /
• 2016

Objectives : The goal of this paper is to verify the hypothesis that the diagrams of liver from MingTangZangFuTu (明堂臟腑圖) were derived from ZangFu diagrams (臟腑圖) before northern Song Ages. Methods : The difference of form of liver was analyzed by means of 4 factors, e.g. shape, number, veins and a petiole of leafs, in diagrams from YanLuoZiNeiJingTu [煙蘿子內境圖], OuXiFanWuZangTu [歐希範五臟圖], CunZhenTu [存眞圖], MingTangZangFuTu and ones of liver from Taoism and MingTangZangFuTu. Results : Diagrams of whole body and liver from MingTangZangFuTu were first found in ZhenJiuJuYing (鍼灸聚英). Among them, lobed shape was first found in YanLuoZiNeiJingTu (in Wudai [五代]), a petiole in OuXiFanWuZangTu (northern Song Ages) and 7 leafs in WuZangLiuFuTu (五臟六腑圖. from Tang (唐) Ages to early northern Song Ages. unknown author.), one of references of UiBangNyuChwi (醫方類聚) (1455). However, veins of leafs were drawn in no diagrams. Conclusions : In diagrams of liver from MingTangZangFuTu, shape and a petiole of leafs were based on diagrams of ZangFu before northern Song Ages, but 7 leafs came from WuZangLiuFuTu. However, veins of leafs were not derived from any diagrams in same period.

• The Journal of Korean Medical History
• /
• v.29 no.1
• /
• pp.11-31
• /
• 2016

Objectives : The goal of this paper is to research what affected diagrams of lung originated from Ming Tang Zang Fu Tu during the time they were changed in. Methods : Diagrams of lung in Traditional Chinese and Japanese medical books had been collected as many as possible. Besides being grouped by Huang Longxiang (黃龍祥)'s classification, they were analysed by 4 form factors, e.g. shape, number, veins and petiole of leafs. Results : Reliability of this methods had been checked on by the correspondence with Huang's 14 standard books, before 29 diagrams of lung were selected from 33 books including 13 books that Huang had already made his proposal. The lobes in most of diagrams resembled 6 lanceolate or long oval leafs, or a maple leaf with 5 indentations. In most of diagrams, veins of leafs were described variously, more or less than 9 nodes often drew in petioles. Conclusions : Suwen (素問), Nan Jing (難經) and Wang Bing would had steadily worked on 29 diagrams of lung, since diagram of lung stemmed from Ming Tang Zang Fu Tu, went out into the world in Zhen Jiu Ju Ying (鍼灸聚英). But they were not drawn through dissection during same periods.

• Smart Media Journal
• /
• v.11 no.8
• /
• pp.37-46
• /
• 2022

In the design process of modern architecture, diagrams are most commonly used as tools of explanation and creation. Many architects use diagrams in the process of explaining or creating their own works, and the concept of programs and diagrams expressing them are accepted by audiences as part of creative work in the process of actual architectural design beyond the role of a medium. Therefore, the purpose of this study is to analyze the various uses of architects through diagrams in the construction process and the operation process of diagrams applied in the design process by defining diagrams by era as a tool to show the process of building space over the past 30 years.

• Journal of Institute of Control, Robotics and Systems
• /
• v.2 no.3
• /
• pp.229-235
• /
• 1996

CAD diagrams generally consists of many basic components: symbols, character, and connection lines. Thus, to recognize the diagrams, it is necessary to extract each components, and understand their meanings and relation among them. This paper describes a method for linking basic components extracted efficiently from hand-down diagrams to OrCAD data format. Experimental results with a hand-drawn diagrams of electronic and logic circuit show utility of the proposed method.

• Journal of the Korean Mathematical Society
• /
• v.58 no.6
• /
• pp.1367-1383
• /
• 2021

This paper studies Young diagrams of symmetric and pseudo-symmetric numerical semigroups and describes new operations on Young diagrams as well as numerical semigroups. These provide new decompositions of symmetric and pseudo-symmetric semigroups into a numerical semigroup and its dual. It is also given exactly for what kind of numerical semigroup S, the semigroup ring 𝕜⟦S⟧ has at least one Gorenstein subring and has at least one Kunz subring.

• Archives of design research
• /
• v.17 no.3
• /
• pp.133-146
• /
• 2004

Diagrams have been deeply and widely used for supporting effective communication relating to design information and knowledge in most design fields. The results show that their role expands to "developmental design material" increasing the principle and method of design process. It's recent trend that Digital-Diagrams are aggressively used in multimedia design fields such as web contents, interactive movies and DVD Titles in order to support user's information understanding more effectively and to stimulate user's participation in information acquiring process. This study aims to clarify the essence of digital diagram corresponding to infographic material in multimedia design and application of multimedia contents development process . This study purpose leads to argue the substance of Digital-Diagrams as one of infographic types and identity of Digital-Diagrams which is relatively compared to existing Diagrams. Eventually, this study examines the application issues of Digital-Diagrams in multimedia design process. Regarding the identity of Digital-Diagrams, they are functionally utilized depending on hypertext based on language forms and interactivity based on graphical forms as core attributes. Therefore, they semantically enlarge user s information understanding by segmenting hierarchy of information expression and rather support user s acquisition of information control ability. Relating to multimedia design process, Digital-Diagrams are used by information designers and navigation designers as method for ‘modeling for realization based on information acquisition support for information-users. Especially, the study results show that the applications of Digital-Diagrams are performed for information representing methods for information designers and embodiment of useful functional factors of interface for navigation designersgation designers.