• Title/Summary/Keyword: unified field theory

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GPS/INS Unified System Development

  • Joon mook Kang;Young bin Nim;Yoon, Hee-Cheon;Cho, Sung-ho
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2004.02a
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    • pp.47-54
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    • 2004
  • In order to meet the users demand, who needs faster and more accurate data in geographic information it is necessary to obtain and process the data more effectively. Now more effective data obtainment about geographic information is possible through the development of unified technology, which is applied to the field of geographic information, as well as through the development of hardware and software engineering. With the fast and precise correction and update, the development of unified technology can bring the reduction of the time and money. For the obtainment of geographic information which can meet the demand of the users, the unified technology has been applied to various fields, and in Aerial Photogrammetry field, many are doing researches actively for the GPS/INS unified system. To obtain fast and precise geographic information using Aerial Photogrammetry method, it is necessary to develop Airborne GPS/INS unified system, which makes GCP to the minimum. For this reason, this study has tried to develop a system which could unite and process both GPS and INS data. For this matter, code-processing module for DGPS and OTF initialization module, which can decide integer ambiguity even in motion, have been developed. And also, continuous kinematic carrier-processing module has been developed to calculate the location at the moment of filming. In addition, this study suggests a possibility of using a module, which can unite GPS and INS, using Kalman filtering, and also shows the INS navigation theory.

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CONFORMAL CHANGE OF THE CONNECTION IN 8-DIMENSIONAL g-UFT

  • CHO, CHUNG HYUN
    • Honam Mathematical Journal
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    • v.27 no.3
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    • pp.515-523
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    • 2005
  • We investigate change of the connection induced by the conformal change in 8-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 8-dimensional case.

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EIGHT-DIMENSIONAL EINSTEIN'S CONNECTION FOR THE FIRST CLASS II. THE EINSTEIN'S CONNECTION IN 8-g-UFT

  • Hwang, In-Ho;Han, Soo-Kyung;Chung, Kyung-Tae
    • Honam Mathematical Journal
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    • v.30 no.1
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    • pp.53-64
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    • 2008
  • Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2, 3, 4, 5, 6. In the following series of two papers, we present a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor: I. The recurrence relations in 8-g-UFT II. The Einstein 's connection in 8-g-UFT In our previous paper [1], we investigated some algebraic structure in Einstein's 8-dimensional unified field theory (i.e., 8-g-UFT), with emphasis on the derivation of the recurrence relations of the third kind which hold in 8-g-UFT. This paper is a direct continuation of [1]. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein's connection to exist in 8-g-UFT and to display a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, employing the powerful recurrence relations of the third kind obtained in the first paper [1]. All considerations in this paper are restricted to the first class only of the generalized 8-dimensional Riemannian manifold $X_8$, since the cases of the second class are done in [2], [3] and the case of the third class, the simplest case, was already studied by many authors.

EIGHT-DIMENSIONAL EINSTEIN'S CONNECTION FOR THE SECOND CLASS II. THE EINSTEIN'S CONNECTION IN 8-g-UFT

  • HAN, SOO KYUNG;HWANG, IN HO;CHUNG, KYUNG TAE
    • Honam Mathematical Journal
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    • v.27 no.1
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    • pp.131-140
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    • 2005
  • Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2, 3, 4, 5, 6, 7. In the following series of two papers, we present a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor: I. The recurrence relations in 8-g-UFT II. The Einstein's connection in 8-g-UFT In our previous paper [1], we investigated some algebraic structure in Einstein's 8-dimensional unified field theory (i.e., 8-g-UFT), with emphasis on the derivation of the recurrence relations of the third kind which hold in 8-g-UFT. This paper is a direct continuation of [1]. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein's connection to exist in 8-g-UFT and to display a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, employing the powerful recurrence relations of the third kind obtained in the first paper [1]. All considerations in this paper are restricted to the second class only of the generalized 8-dimensional Riemannian manifold $X_8$, since the case of the first class are done in [2], [3] and the case of the third class, the simplest case, was already studied by many authors.

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AN ALGEBRAIC SOLUTION OF EINSTEIN'S FIELD EQUATIONS IN X4

  • Lee, Jong Woo
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.2
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    • pp.207-215
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    • 2015
  • The main goal in the present paper is to obtain a particular solution $g_{{\lambda}{\mu}}$, ${\Gamma}^{\nu}_{{\lambda}{\mu}}$ and an algebraic solution $\bar{g}_{{\lambda}{\mu}}$, $\bar{\Gamma}^{\nu}_{{\lambda}{\mu}}$ by means of $g_{{\lambda}{\mu}}$, ${\Gamma}^{\nu}_{{\lambda}{\mu}}$ in UFT $X_4$.

THE CURVATURE TENSORS IN THE EINSTEIN′S *g- UNIFIED FIELD THEORY I. THE SE-CURVATURE TENSOR OF *g-SE $X_{n}$

  • Chung, Kyung-Tae;Chung, Phil-Ung;Hwang, In-Ho
    • Journal of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.1045-1060
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    • 1998
  • Recently, Chung and et al. ([11], 1991c) introduced a new concept of a manifold, denoted by *g-SE $X_{n}$ , in Einstein's n-dimensional *g-unified field theory. The manifold *g-SE $X_{n}$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor * $g^{λν}$ through the SE-connection which is both Einstein and semi-symmetric. In this paper, they proved a necessary and sufficient condition for the unique existence of SE-connection and presented a beautiful and surveyable tensorial representation of the SE-connection in terms of the tensor * $g^{λν}$. This paper is the first part of the following series of two papers: I. The SE-curvature tensor of *g-SE $X_{n}$ II. The contracted SE-curvature tensors of *g-SE $X_{n}$ In the present paper we investigate the properties of SE-curvature tensor of *g-SE $X_{n}$ , with main emphasis on the derivation of several useful generalized identities involving it. In our subsequent paper, we are concerned with contracted curvature tensors of *g-SE $X_{n}$ and several generalized identities involving them. In particular, we prove the first variation of the generalized Bianchi's identity in *g-SE $X_{n}$ , which has a great deal of useful physical applications.tions.

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