• Title/Summary/Keyword: continuous map

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Noor Iterations with Error for Non-Lipschitzian Mappings in Banach Spaces

  • Plubtieng, Somyot;Wangkeeree, Rabian
    • Kyungpook Mathematical Journal
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    • v.46 no.2
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    • pp.201-209
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    • 2006
  • Suppose C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T : $C{\rightarrow}C$ be an asymptotically nonexpansive in the intermediate sense mapping. In this paper we introduced the three-step iterative sequence for such map with error members. Moreover, we prove that, if T is completely continuous then the our iterative sequence converges strongly to a fixed point of T.

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CONTINUITY OF THE FRACTIONAL PART FUNCTION AND DYNAMICS OF CIRCLE

  • LAL, BABU;MIGLANI, ASEEM;SINGH, VIZENDER
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.1167-1179
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    • 2022
  • In this paper, we obtain some subsets of real numbers (ℝ) on which a fractional part function is defined as a real-valued continuous function. This gives rise to the analysis of the continuous properties of the fractional part function as a real-valued function. The analysis of fractional part function is helpful in the study of the dynamics of circle.

The Development and Application of Wetland Ecology Map Program for the Study through Experience at Upo Swamp (우포늪 체험 학습을 위한 습지 생태 지도 프로그램 개발 및 적용)

  • Yang, Eun-Ju;Kim, Kee-Dae
    • Hwankyungkyoyuk
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    • v.23 no.2
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    • pp.97-112
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    • 2010
  • The study aims to comprehend the effect of the wetland ecology education on the elementary school students' changes of recognition about wetland through the wetland ecology map program. In this study, the literary research, the experimental research and the survey methods were operated. Through the literary research, the environmental factors were extracted, and the writing item of ecology map was reconstructed based on the literary research, so the experimental research was operated with the wetland ecology map program. Through four areas of test items such as the information and knowledge, values and attitudes, development and conservation, behavior and participation, and the analysis of children's study results, the effect of the wetland ecology map program on changes of recognition about wetland was verified quantitatively and qualitatively. Wetland ecology map program would be able to be an educational approach which can achieve the 'personalization of environment' setting up predictable environmental improvement goals and satisfying the needs of spatial information of the appropriate regions from the holistic perspective that students themselves plan and participate beyond a one-time experience program. Production of ecological map through continuous monitoring is expected to improve the possibility of subjective environmental actions by operating self-directed learning. Based on the conclusion of this study, we would suggest the following. For wetland ecology map program to be supplemented and utilized, the basic education of wetland should be organized in regular school curriculum, ecology map program including various teaching learning methods be prepared actively, and in future studies, studies of ecosystem-wide wetland ecology map program including animals like birds and fish are necessary.

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Estimating Length of Jeju Batdam Using Cadastral Information (지적 정보를 이용한 제주 밭담 길이 추정)

  • Park, Jong-Jun;Kwon, Yoon-Ku
    • Journal of Korean Society of Rural Planning
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    • v.25 no.3
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    • pp.37-44
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    • 2019
  • The value of Jeju Batdam has been reexamined as it is listed as a nationally important agricultural heritage and globally important agricultural heritage systems. However, it is already exposed to threats such as reduction of agricultural population and cultivation area. Despite efforts like the agricultural heritage system to preserve traditional agriculture, there is few basic investigation into the current status of Jeju Batdam. The purpose of this study is to estimate the length of Jeju Batdam. We used the continuous cadastral map of Jeju area to extract the boundaries of the field lot. In the cadastral map, the farmland was selected by selecting dry fields, paddy fields and orchards. 300 sample site were selected from the extracted farmland, and the boundaries between the Internet map and the parcels were superimposed and the differences were confirmed on the drawing. After that, field survey was conducted to confirm the boundary of the parcels and the existence of actual Batdam. It is estimated that the length estimated from this study is at least 23,983km and maximum 142,353km, which is at least 1,830km longer than 22,108km announced in 2007. Since Jeju Batdam is based on land parcel boundary, it is an objective and efficient method to utilize intellectual information. In addition, because it is subordinate to farmland, new information can be extracted reflecting the change of land use and make the spatial database based on the cadastral maps.

TRIVIALITY OF A TRACE ON THE SPACE OF COMMUTING TRACE-CLASS SELF-ADJOINT OPERATORS

  • Myung, Sung
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1205-1211
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    • 2010
  • In the present article, we investigate the possibility of a real-valued map on the space of tuples of commuting trace-class self-adjoint operators, which behaves like the usual trace map on the space of trace-class linear operators. It turns out that such maps are related with continuous group homomorphisms from the Milnor's K-group of the real numbers into the additive group of real numbers. Using this connection, it is shown that any such trace map must be trivial, but it is proposed that the target group of a nontrivial trace should be a linearized version of Milnor's K-theory as with the case of universal determinant for commuting tuples of matrices rather than just the field of constants.

Validation of MODIS LAI Product Over Temperate Forest

  • Kim, Sun-Hwa;Lee, Kyu-Sung
    • Proceedings of the KSRS Conference
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    • 2002.10a
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    • pp.679-684
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    • 2002
  • MODIS LAI has been one of key products for analyzing the quantitative aspects ofterrestrial ecology. This study was designed to validate MODIS LAS product by using the reference LAI map that was derived from both ground measurements and ETM+ surface reflectance. The study area, the Kwangneung Experiment Forest in Korea, covers mixed species of deciduous and conifers of temperate forest. Throughout the growing season of 2002, we have measured LAS at the 30 sample plots using an optical device. Ground measured LAS data were then correlated to the ETM+ reflectance to produce a continuous map of LAS over the study area. Preliminary comparison between MODIS LAI and the reference LAI map showed the lower LAI values from the MODIS product.

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A Study on the GIS-based Method of Building Digital Forest Land-Use Map (GIS 기반 산지이용구분도 작성방법에 관한 연구)

  • Park, Young-Kyu;Kwon, Soon-Duk;Song, Chul-Chul;Kwon, Dae-Soon;Lee, Jong-Hak;Kim, Hyung-Ho
    • Journal of the Korean Association of Geographic Information Studies
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    • v.9 no.3
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    • pp.46-57
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    • 2006
  • The purpose of this study is to develop a GIS-based digital Forest Land-use(FLU) Map Building Process which will be adopted as the map publishment methodology for the official FLU Map notification in 2007. The process is composed of 6 steps, extracting forest lands from Continuous Land Map(CLM), extracting forest land borders restricted by other laws, extracting boundaries between semi- and reserve forest lands, making digital FLU map by integrating spatial and attribute data among the extractions, printing FLU map and FLU register, and re-correcting zoning errors. Through the process, in 1:25,000 and 1:5,000 scale, 14 and 173 sheets of the FLU Maps and it's register were created for the whole area of Hwaseong, Kyunggi.

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Performance Analysis of SOVA by Robust Equalization, Techniques in Nongaussian Noise Channel (비가우시안 잡음 채널에서 Robust 등화기법을 이용한 터보 부호의 SOVA 성능분석)

  • Soh, Surng-Ryurl;Lee, Chang-Bum;Kim, Yung-Kwon;Chung, Boo-Young
    • Journal of IKEEE
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    • v.4 no.2 s.7
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    • pp.257-265
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    • 2000
  • Turbo Code decoder is an iterate decoding technology, which extracts extrinsic information from the bit to be decoded by calculating both forward and backward metrics in each decoding step, and uses the information to the next decoding step. Viterbi decoder, which is for a convolutional code, runs continuous mode, while Turbo Code decoder runs by block unit. There are algorithms used in a decoder : which are MAP(maximum a posteriori) algorithm requiring very complicated calculation and SOVA(soft output Viterbi algorithm) using Viterbi algorithm suggested by Hagenauer, and it is known that the decoding performance of MAP is better. The result of this make experimentation shows that the performance of SOVA, which has half complex algorithm compare to MAP, is almost same as the performance of MAP when the SOVA decoding performance is supplemented with Robust equalization techniques.

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DERIVATIONS ON PRIME RINGS AND BANACH ALGEBRAS

  • Jun, Kil-Woung;Kim, Hark-Mahn
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.709-718
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    • 2001
  • In this paper we show that if D and G are continuous linear Jordan derivations on a Banach algebra A satisfying [D(x), x]x - x[G(x),x] $\epsilon$ rad(A)for all $\epsilon$ A, then both D and G map A into rad(A).

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