• Title/Summary/Keyword: special relativity

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An Analysis of High School Student's Understanding Level about Basic Concepts of Special Relativity through in-depth interview (심층 면담을 통한 고등학생들의 특수 상대론 기초 개념에 대한 이해 수준 분석)

  • Kim, Jaekwon;Jung, Jinkyu;Kim, Youngmin
    • Journal of Science Education
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    • v.38 no.3
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    • pp.569-584
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    • 2014
  • The Purpose of this study was an analysis of high school student's understanding level about concepts of special relativity through in-depth interview. The 8 participants were 10th grade students in H high school in Ulsan city, who were interviewed and analyzed in the results of the interview about basic concepts of special relativity using achievement checklist in 6 situations(principle of constancy of light velocity, principle of relativity, relativity of simultaneity, garage paradox, rocket paradox). As results of the checklist, the participants showed high achievement in the content level of simple phenomena and simple concepts related to special relativity. But they showed low achievement in the concept level for fundamental understanding of special relativity. As results of the interview, it was found that the participants decided the order of events depending on their intuition and had a difficulty to apply the coordinate system to real situation, even though they mathematically understood it. In addition, some participants who could not understand the inertial coordinate system explained paradoxes of relativity depending on their intuition and had learner's chaos. Finally, though high school students usually being in formal operational stage, some students had difficulty to draw phenomena of space and time in two dimensional plane.

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A FEYNMAN FUNCTIONAL FOR THE GLOBAL POSITIONING SYSTEM

  • Facio, Brian-De
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.321-336
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    • 2001
  • A Feynman functional formulation is given for the Global Positioning System, GPS. Both the sequential and analytic Feynman functionals are presented for the classical, exterior, gravity problems which included rigid body rotations, special relativity and some general relativity corrections. A mathematically rigorous approach is introduced whose solutions exist, are unique and which depend continuously on the intial data. This formulation is convergent and has the finite approximation property. It is emphasized that all of the problems studied are classical (not quantum) evolution systems.

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A Study on the Relative Motivation of Shannon's Information Theory (샤논 정보이론의 상관성 동기에 관한 연구)

  • Lee, Moon-Ho;Kim, Jeong-Su
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.21 no.3
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    • pp.51-57
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    • 2021
  • In this paper, the relevance between Einstein's special theory of relativity (1905) and Bernoulli's fluid mechanics (1738), which motivates Shannon's theorem (1948), was derived from the AB=A/A=I dimension, and the Shannon's theorem channel code was simulated. When Bernoulli's fluid mechanics ΔP=pgh was applied to the Hallasan volcano Magma eruption, the dimensions and heights matched the measured values. The relationship between Einstein's special theory of relativity, Shannon's information theory, and the stack effect theory of fluid mechanics was analyzed, and the relationship between volcanic eruptions was mathematically proven. Einstein's and Bernoulli's conservation of energy and conservation of mass were the same in terms of bandwidth and power efficiency in Shannon's theorem.

A Proposal of a Teaching Method using Virtual Reality and Event-Diagram for Secondary Student's Understanding of Basic Concepts in Special Relativity (중등학생의 특수상대론 학습에서 VR과 사건도표를 이용한 수업방법의 제안)

  • Kim, Jaekwon;Kim, Youngmin
    • Journal of Science Education
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    • v.35 no.2
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    • pp.283-294
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    • 2011
  • The purpose of this study were to develop a tutorial for secondary students to understand of basic concepts of special relativity, which is appropriate for the cognition level of secondary student. We developed the concept evaluation tool and the tutorial material. Result from pretest and post-test are presented to verify the effect of the tutorial for helping student understanding of the concept such as time, event, reference frame, relativity of simultaneity. Secondary student had intense cognitive conflict about the complex concepts such as simultaneity, length contraction and time expansion. This tutorial could be proposed methodology to overcome cognitive difficulty for understanding these concepts.

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An investigation of students' understanding of relativity for the gifted education in science (과학영재교육에서의 상대론적 개념에 대한 학생 사례 분석)

  • Bae, Sae-Byok;Kim, Yeong-Hwa;Kim, Young-Min
    • Journal of Gifted/Talented Education
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    • v.14 no.4
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    • pp.71-91
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    • 2004
  • For the education of scientifically gifted high-school students in the field of relativity, we have executed a research on the understanding of relativistic concepts through the case study of its students of Busan Science Academy appointed as a high school for the gifted education in science. We showed the analysis of the changes in students, understanding in the field of (special) relativity and their possible causes. The comparison of the pre-test and the post-test tends to support that the students attained better understanding through the instruction of relativity. Students' understanding and misconception of relativistic concepts were also investigated through the case study. The students showed low degree of understanding in the validity of the principle of relativity, the influence of the constancy of the speed of light on the classical physics, etc. It seems that the analysis of these concepts of insufficient understanding can make a contribution to designing the education of relativity for scientifically gifted students.

On Interpretation of Hyperbolic Angle

  • Aktas, Busra;Gundogan, Halit;Durmaz, Olgun
    • Kyungpook Mathematical Journal
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    • v.60 no.2
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    • pp.375-385
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    • 2020
  • Minkowski spaces have long been investigated with respect to certain properties and substructues such as hyperbolic curves, hyperbolic angles and hyperbolic arc length. In 2009, based on these properties, Chung et al. [3] defined the basic concepts of special relativity, and thus; they interpreted the geometry of the Minkowski spaces. Then, in 2017, E. Nesovic [6] showed the geometric meaning of pseudo angles by interpreting the angle among the unit timelike, spacelike and null vectors on the Minkowski plane. In this study, we show that hyperbolic angle depends on time, t. Moreover, using this fact, we investigate the angles between the unit timelike and spacelike vectors.

Aesthetic Analysis of Digital Art Using Fashion Illustration Software - Focusing on Alfred Einstein's Theory of Relativity - (디지털아트에 의한 패션일러스트레이션의 소프트웨어 미학 분석 - 아인슈타인의 상대성이론을 중심으로 -)

  • Oh, Eun-Kyung;Kwak, Tai-Gi
    • Journal of the Korean Society of Costume
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    • v.60 no.3
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    • pp.26-43
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    • 2010
  • The inflow of digital technology into the art, especially in the Fashion Illustration since 1990, makes the new aesthetics of the beginning of the 21 century which the Software aesthetics can be called. The meeting of technology and the art make us recall a great scientist and artist, Leonardo da Vinci in the Renaissance that the notion of the art and skill was unified, same as the ancient history. This study is purposed to expand the concept of the art for the broad exchange of the digital technology and art and for the extensive expression method of the modern fashion illustration. Having views on science theory of the beginning of the 20 century, Theory of Relativity which had given a lot of influence in the philosophy, the litterature and the art, as well as all the science, it makes a connection with the history of art in the beginning of the 20 century and the story of the digital art in the beginning of the 21 century. Firstly, the Fauvism and 2D is based on the expression of the glowing and bright color by the Principle of constancy of light velocity. Secondly, the Cubism and 3D is associated with the Special theory of relativity in the cyberspace which the space and the time are totally accorded. Thirdly, the Futurism and 4D is compared with the General theory of relativity which contains the material and the gravity. They are gradually evolved into the Interactive art and the Kinetic art by the digital technology in the profound cyberspace.

Riemann Solvers in Relativistic Hydrodynamics: Basics and Astrophysical Applications

  • IBANEZ JOSE MA.
    • Journal of The Korean Astronomical Society
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    • v.34 no.4
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    • pp.191-201
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    • 2001
  • My contribution to these proceedings summarizes a general overview on High Resolution Shock Capturing methods (HRSC) in the field of relativistic hydrodynamics with special emphasis on Riemann solvers. HRSC techniques achieve highly accurate numerical approximations (formally second order or better) in smooth regions of the flow, and capture the motion of unresolved steep gradients without creating spurious oscillations. In the first part I will show how these techniques have been extended to relativistic hydrodynamics, making it possible to explore some challenging astrophysical scenarios. I will review recent literature concerning the main properties of different special relativistic Riemann solvers, and discuss several 1D and 2D test problems which are commonly used to evaluate the performance of numerical methods in relativistic hydrodynamics. In the second part I will illustrate the use of HRSC methods in several astrophysical applications where special and general relativistic hydrodynamical processes play a crucial role.

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The Legal Justice of Conferring Criminal Negligence on Chief Privacy Officers(CPO) (개인정보관리자의 책임과 벌칙의 형평성)

  • Kim, Beom-Soo
    • Journal of Information Technology Services
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    • v.10 no.4
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    • pp.21-32
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    • 2011
  • The recently revised "Telecommunications Business Promotion and Personal Data Protection Act" is an important legal milestone in promoting the Korean telecommunications infrastructure and industry as well as protecting individuals' personal data and individuals' rights to privacy. Special characteristics of information security and privacy protection services including public goods' feature, adaptiveness, relativity, multi-dimensionality, and incompleteness, are reviewed. The responsibility of chief security/privacy officers in the IT industry, and the fairness and effectiveness of the criminal negligence in the Telecommunications Act are analyzed. An assessment of the rationale behind the act as well as a survey of related laws and cases in different countries, offers the following recommendations : i) revise the act and develop new systems for data protection, ii) grant a stay of execution or reduce the sentence given extenuating circumstances, or iii) use technical and managerial measures in data protection for exemption from criminal negligence.

Relativistic View in Hydrodynamic Waves (유체파동에의 상대성이논 적용)

  • Kim Hun Chol
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.193-196
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    • 2002
  • The relativistic theory has not been properly taken up by the marine hydrodynamicists. To take on a relativistic view, we confine ourselves to a simple vector case of a wave train in spacetime, to be shown to represent a sound wave or a surface wave, and bring in an observer who is travelling on another platform. We are interested in relative position of each event on these two worldlines. It, then, will be shown that the velocity, the acceleration, the encounter frequency, the group velocity, and the time and the space distance between the wave and the observer on the worldlines should all be derivable in principle. This is interpreted to mean that we really have the relativistic events taking place with different values of time dilation in the sense of 'spacetime', and that the well-known ${\lceil}special Theory of Relativity{\rfloor}$ applies just as well in hydrodynamic waves.

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