• Title/Summary/Keyword: Mathematical idea

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A Study of the Spatial Composition of the Each Generation's Museum Space by Space Syntax Analysis - Focused on Connection Form Changes of the Major Space and Exhibition Space - (공간구문론(Space Syntax) 분석에 의한 세대별 박물관 공간구성에 관한 연구 - 대공간과 전시공간 연결방식의 변화양상을 중심으로 -)

  • Park, Chong-Ku;Lee, Sung-Hoon
    • Korean Institute of Interior Design Journal
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    • v.15 no.5 s.58
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    • pp.247-254
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    • 2006
  • The museum has steadily been evolved by time with its function and social idea differently. As the museum makes its evolution, its architecture has also been changed. This study aims to find out the characteristics of museum architecture by applying Space Syntax for space correspondence of museum architecture changed by the time. And the characteristics could be used as project guide by making data for building up museum architecture changed by social concept with efficient and functional system. The method of the study is to divide the museum into three generations, and give case for each generation. And the each chosen case was analyzed by convex space of space syntax. The order of the analysis is to divide the case as the unit space, make out the Convex Map. And finally get the analysis variable by carrying out a mathematical operation. The characteristics found in these operations are as follows. First, the major space has been planed for convenience of spectators. Second, exhibition space located on specific area in entire plot planning makes spectators easy to recognize in terms of the line of flow toward exhibition space and also relieves character of major and exhibition space. Third, it is getting hard to comprehend the entire space as forming diverse space in process that museum accepts many request from spectators.

Morphological Hand-Gesture Recognition Algorithm (형태론적 손짓 인식 알고리즘)

  • Choi Jong-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.8
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    • pp.1725-1731
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    • 2004
  • The use of gestures provides an attractive alternate to cumbersome interface devices for human-computer interaction. This has motivated a very active research area concerned with computer vision-based analysis and interpretation of hand gestures. The most important issues in gesture recognition are the simplification of algorithm and the reduction of processing time. The mathematical morphology based on geometrical set theory is best used to perform the processing. A key idea of proposed algorithm in this paper is to apply morphological shape decomposition. The primitive elements extracted to a hand gesture include in very important information on the directivity of the hand gestures. Based on this characteristic, we proposed the morphological gesture recognition algorithm using feature vectors calculated to lines connecting the center points of a main-primitive element and sub-primitive elements. Through the experiment, we demonstrated the efficiency of proposed algorithm. Coupling natural interactions such as hand gesture with an appropriately designed interface is a valuable and powerful component in the building of TV switch navigating and video contents browsing system.

A Critical Study on the Teaching-Learning Approach of the SMSG Focusing on the Area Concept (넓이 개념의 SMSG 교수-학습 방식에 대한 비판적 고찰)

  • Park, Sun-Yong;Choi, Ji-Sun;Park, Kyo-Sik
    • School Mathematics
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    • v.10 no.1
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    • pp.123-138
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    • 2008
  • The objective of this paper is to reveal the cause of failure of New Math in the field of the SMSG area education from the didactical point of view. At first, we analyzed Euclid's (Elements), De Morgan's (Elements of arithmetic), and Legendre's (Elements of geometry and trigonometry) in order to identify characteristics of the area conception in the SMSG. And by analyzing the controversy between Wittenberg(1963) and Moise(1963), we found that the elementariness and the mental object of the area concept are the key of the success of SMSG's approach. As a result, we conclude that SMSG's approach became separated from the mathematical contents of the similarity concept, the idea of same-area, incommensurability and so on. In this account, we disclosed that New Math gave rise to the lack of elementariness and geometrical mental object, which was the fundamental cause of failure of New Math.

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Analysis of cable structures through energy minimization

  • Toklu, Yusuf Cengiz;Bekdas, Gebrail;Temur, Rasim
    • Structural Engineering and Mechanics
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    • v.62 no.6
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    • pp.749-758
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    • 2017
  • In structural mechanics, traditional analyses methods usually employ matrix operations for obtaining displacement and internal forces of the structure under the external effects, such as distributed loads, earthquake or wind excitations, and temperature changing inter alia. These matrices are derived from the well-known principle of mechanics called minimum potential energy. According to this principle, a system can be in the equilibrium state only in case when the total potential energy of system is minimum. A close examination of the expression of the well-known equilibrium condition for linear problems, $P=K{\Delta}$, where P is the load vector, K is the stiffness matrix and ${\Delta}$ is the displacement vector, it is seen that, basically this principle searches the displacement set (or deformed shape) for a system that minimizes the total potential energy of it. Instead of using mathematical operations used in the conventional methods, with a different formulation, meta-heuristic algorithms can also be used for solving this minimization problem by defining total potential energy as objective function and displacements as design variables. Based on this idea the technique called Total Potential Optimization using Meta-heuristic Algorithms (TPO/MA) is proposed. The method has been successfully applied for linear and non-linear analyses of trusses and truss-like structures, and the results have shown that the approach is much more successful than conventional methods, especially for analyses of non-linear systems. In this study, the application of TPO/MA, with Harmony Search as the selected meta-heuristic algorithm, to cables net system is presented. The results have shown that the method is robust, powerful and accurate.

Design and Analysis of Resource Management Architecture for Network Mobility (네트워크 이동성을 위한 자원 관리 구조의 설계와 분석)

  • 백은경;조호식;최양희
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.7B
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    • pp.628-640
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    • 2004
  • The demand for next generation networks can be condensed into always-best-connected, ubiquitous, mobile, all-lP, and converged networks. IPv6 has been introduced for all-IP ubiquitous communications, and vehicles are coming to represent an important communication platform. In this paper. we propose various resource management schemes for in-vehicle mobile networks, which are adaptive to different hardware configurations. We focus on power and wireless bandwidth since they are critical resources for mobile communications. Based on the mobility characteristics of in-vehicle networks, we propose vehicle-aware power saving schemes. The main idea behind these power saving schemes is to adjust mobile router (MR) advertisement interval and binding lifetime. In addition, according to different wireless environments, we propose adaptive bandwidth management schemes using multihoming: best-connected MR selection based on location, and high-data-rate MR selection based on priority By mathematical analysis, it is shown that our schemes save power prominently for both the dormant nodes and active nodes. In addition, simulation results show that proposed multiple mobile router architecture outperforms previous simple redundant router architecture in preserving session and providing sufficient bandwidth.

A Review for Non-linear Models Describing Temperature-dependent Development of Insect Populations: Characteristics and Developmental Process of Models (비선형 곤충 온도발육모형의 특성과 발전과정에 대한 고찰)

  • Kim, Dong-Soon;Ahn, Jeong Joon;Lee, Joon-Ho
    • Korean journal of applied entomology
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    • v.56 no.1
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    • pp.1-18
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    • 2017
  • Temperature-dependent development model is an essential component for forecasting models of insect pests as well as for insect population models. This study reviewed the nonlinear models which explain the relationship between temperature and development rate of insects. In the present study, the types of models were classified largely into empirical and biophysical model, and the groups were subdivided into subgroups according to the similarity of mathematical equations or the connection with original idea. Empirical models that apply analytical functions describing the suitable shape of development curve were subdivided into multiple subgroups as Stinner-based types, Logan-based types, performance models and Beta distribution types. Biophysical models based on enzyme kinetic reaction were grouped as monophyletic group leading to Eyring-model, SM-model, SS-mode, and SSI-model. Finally, we described the historical development and characteristics of non-linear development models and discussed the availability of models.

Learning from Successes and Failures of Registration of Patent Applications Based on Physical Ergonomics Research

  • Kim, Sungho;Lee, Wonsup;Lee, Baekhee;Choi, Younggeun;Lee, Jihyung;Jung, Kihyo;You, Heecheon
    • Journal of the Ergonomics Society of Korea
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    • v.34 no.5
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    • pp.455-467
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    • 2015
  • Objective: The present study suggested practical measures for successful patent registration based on a review of success and failure cases of patent application filed based on inventions obtained from physical ergonomics research. Background: The protection of intellectual property (IP) contributes to economic growth and competitiveness and facilitates innovation and creativity. IP rights are pursued on research findings for effective technology transfer and commercialization; however, a patent application can be rejected if patentability requirements such as patent eligible subject matter, utility for industrial application, novelty, or non-obviousness are not satisfied. Method: Three successful and three failed cases of patent applications based on physical ergonomics research were reviewed, critical reasons for their successes and failures were examined, and measures were proposed to avoid failures in patent registration. Results: The following measures were identified based on the patent application case review. First, abstract ideas including logical procedures and/or mathematical formulas need to include use of tangible apparatus and methods in idea realization. Second, the provision of grace period inventor disclosure exception needs to be properly followed in case an invention is disclosed before filing of patent application. Lastly, a comprehensive analysis of prior art published or publicly known anywhere in the world and a claim preparation of distinguished, non-trivial features compared to prior art solutions are needed to avoid possible violation of novelty and non-obviousness. Application: The proposed measures can help to prepare a patent application with patent eligibility.

Bolzano and the Evolution of the Concept of Infinity (무한 개념의 진화 : Bolzano를 중심으로)

  • Cheong, Kye-Seop
    • Journal for History of Mathematics
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    • v.21 no.3
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    • pp.31-52
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    • 2008
  • The concept of infinity, as with other scientific concepts, has a history of evolution. In the present work we intend to discuss the subject matter with regard to Bolzano since he is considered to be the first to accept the idea of actual infinity not just from a metaphysical perspective but from a mathematical one. Like modem platonists, Bolzano defended the infinite set itself regardless of the construction process; this is based on the principal of comprehension and unicity of denotation regarding all concepts. In addition, instead of considering as paradoxical the fact that a one-to-one correspondence existed between an infinite set and its parts, he regarded it in a positive way as a special characteristic. While the Greek era recognized the existence of only one infinity, Balzano acknowledged the existence of various types of infinity and formulated a logical definition for it. The question of infinity is a touchstone of constructive method which holds an increasingly important role in mathematics. The present study stops with just a brief reference to the subject matter and we will leave further in-depth investigation for later.

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Performance Evaluation of Short-cut Tunneling Schemes in Optimized Path Method over Mobile IP Networks (이동 IP의 최적경로 방식에서 단거리 터널링 기법의 성능평가)

  • 변태영;이경훈
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.1
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    • pp.65-73
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    • 2004
  • In this paper, we propose a tunnel establishment scheme using Next Hop Resolution Protocol over mobile IP networks, which consist of LAN-based IP networks and ATM-based IP networks. As a basic idea, we use the shortest path algorithm to establish a short-cut tunnel between HA and FA. Also, we classify methods for establishing a short-cut tunnel into four cases considering the locations of HA, FA, CN and MN. To confirm the advantages of our schemes, which deliver packets using short-cut tunnel in optimized path method over mobile IP networks, we performed mathematical analysis and simulation, compared proposed schemes with existing IP routing method in terms of transmission delay between CN and MN. The simulation results show that our scheme have superior performance to that of existing IP routing mechanism, because the store-and-forward delay which occurred in IP routing mechanism is considerably reduced in short-cut tunnel over ATM networks.

Reasoning through scheme (도형에 의한 추론 (Schematic Reasoning) : 통시적 사례 연구)

  • Cheong, Kye-Seop
    • Journal for History of Mathematics
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    • v.19 no.4
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    • pp.63-80
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    • 2006
  • Along with natural and algebraic languages, schema is a fundamental component of mathematical language. The principal purpose of this present study is to focus on this point in detail. Schema was already in use during Pythagoras' lifetime for making geometrical inferences. It was no different in the case of Oriental mathematics, where traces have been found from time to time in ancient Chinese documents. In schma an idea is transformed into something conceptual through the use of perceptive images. It's heuristic value lies in that it facilitates problem solution by appealing directly to intuition. Furthermore, introducing schema is very effective from an educational point of view. However we should keep in mind that proof is not replaceable by it. In this study, various schemata will be presented from a diachronic point of view, We will show with emaples from the theory of categories, Feynman's diagram, and argand's plane, that schema is an indispensable tool for constructing new knowledge.

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