• Title/Summary/Keyword: enriched mapping

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HALPERN'S ITERATION FOR APPROXIMATING FIXED POINTS OF A NEW CLASS OF ENRICHED NONSPREDING-TYPE MAPPINGS IN HILBERT SPACES WITH APPLICATIONS TO MINIMAX INEQUALITY PROBLEM

  • Imo Kalu Agwu;Godwin Amechi Okeke;Hallowed Oluwadara Olaoluwa;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.3
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    • pp.673-710
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    • 2024
  • In this paper, we propose a modified Halpern's iterative scheme developed from a sequence of a new class of enriched nonspreading mappings and an enriched nonexpansive mapping in the setup of a real Hilbert space. Moreover, we prove strong convergence theorem of the proposed method under mild conditions on the control parameters. Also, we obtain some basic properties of our new class of enriched nonspreading mappings.

The Effects of the Level of Enrichment for Analogies upon Students' Mapping and Conceptual Understanding in Concept Learning about Boyle's Law (보일의 법칙에 대한 개념 학습에서 비유의 부연 수준이 학생들의 대응 관계 이해 및 개념 이해에 미치는 영향)

  • Kim, You-Jung;Kim, Kyung-Sun;Noh, Tae-Hee
    • Journal of the Korean Chemical Society
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    • v.54 no.2
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    • pp.248-256
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    • 2010
  • This study investigated the effects of the level of enrichment for analogies upon students' mapping, conceptual understanding, and the types of mapping errors in concept learning about Boyle's Law. Analogical reasoning ability test was administered and the score was used as a blocking variable. Three types (simple, enriched, and extended analogies) of learning materials according to the level of enrichment for analogies were studied by randomly assigned middle school students, and a conceptions test and a mapping test were administered immediately. The retention tests of both were administered four weeks later. Analyses of the results revealed that there was no main effect in the level of enrichment for analogies, but there was interaction effect with analogical reasoning ability in the post test on mapping. And the score of enriched analogy group was significantly higher than those of simple analogy group, but the score differences among three groups were not significant in the retention test on conceptual understanding. The frequency of the total mapping errors in the simple analogy group was the highest, and the frequencies of most types of mapping errors in the enriched and the extended analogy groups were less than those in the simple analogy group. There were also some differences in the frequencies of mapping errors with respect to the level of analogical reasoning ability. Therefore, these results will help science teachers plan and practice instructions using analogy.

ON M-ITERATIVE SCHEME FOR MAPPINGS WITH ENRICHED (C) CONDITION IN BANACH SPACES

  • Junaid Ahmad
    • Honam Mathematical Journal
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    • v.46 no.4
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    • pp.538-551
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    • 2024
  • In this paper, we approximate fixed points of mappings satisfying enriched (C) condition under a modified three-step M-iterative scheme in a Banach space setting. First, we establish a weak convergence theorem and then obtain several strong convergence theorems for our iterative scheme under some mild conditions. A numerical example of mappings satisfying enriched (C) condition is used that does not satisfy the ordinary (C) condition to support our main outcome. Numerical computations and graphs obtained from different iterative schemes show that the studied scheme provides a better rate of convergence as compared to some other schemes of the literature. As an application of our main result, we provide a projection type iterative scheme for solving split feasibility problems (SFP) on a Hilbert space setting.

Characteristics of Student-Generated Analogies, Mapping Understanding, and Mapping Errors on Saturated Solution of Scientifically-Gifted and General Elementary Students (포화 용액 개념에 대해 초등 과학 영재와 일반 학생들이 만든 비유의 특성과 대응 관계 이해도 및 대응 오류)

  • Noh, Tae-Hee;Yang, Chan-Ho;Kang, Hun-Sik
    • Journal of Korean Elementary Science Education
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    • v.28 no.3
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    • pp.292-303
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    • 2009
  • In this study, we investigated the characteristics of the analogies, the mapping understanding, and the mapping errors on saturated solution of scientifically-gifted and general elementary students. Fifth graders (n=60) at four scientifically-gifted education institutes in Seoul and/or Gyeonggi province and fifth graders (n=91) at three elementary schools in Seoul were selected and assigned to the scientifically-gifted group and the general group respectively. After the students of each group performed the experiment and were taught about the target concept in the first class, they administered the test on the self-generating analogies on the target concept in the second class. The results revealed that the students in the scientifically-gifted group made more analogies, especially verbal/pictorial, structural/functional, enriched, and higher systematic ones, and had deeper understanding of the analogy than those in the general group. The numbers of the shared attributes included in the student-generated analogies and the scores of the mapping understanding of the students in the scientifically-gifted group were significantly higher than those in the general group. The students in the scientifically-gifted group had fewer mapping errors than those in the general group. However, not a few students in the scientifically-gifted group had at least one mapping error. Educational implications of these findings are discussed.

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Characteristics, Mapping Understanding, Mapping Errors, and Perceptions of Student-Generated Analogies by Elementary School Students' Approaches to Learning (초등학생의 학습접근양식에 따른 비유 만들기 특성, 대응 관계 이해도, 대응 오류, 비유 만들기에 대한 인식)

  • Kang, Hun-Sik;Cheon, Ji-Hyun
    • Journal of The Korean Association For Science Education
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    • v.30 no.5
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    • pp.668-680
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    • 2010
  • In this study, we investigated the characteristics, the mapping understanding, the mapping errors, and the perceptions of student-generated analogies on the separation of mixtures using the sizes of particles by elementary school students' approaches to learning. Fourth graders (N=92) were selected and administered with the tests on the approaches to learning, self-generating analogies, and perception of self-generating analogies. The results revealed that the meaningful learners made more analogies, especially structural/functional, enriched, and higher systematic ones than the rote learners. However, there were little difference in students' approaches to learning in the subcategories of representation (verbal, pictorial, and verbal/pictorial), artificiality (artificial and everyday), and abstraction (abstract and concrete). The meaningful learners had deeper understanding of the analogy and fewer mapping errors than the rote learners. In addition, the numbers of the shared attributes included in student-generated analogies and the scores of the mapping understanding of the meaningful learners were significantly higher than those of the rote learners. Many students, regardless of students' approaches to learning, had positive perceptions of the self-generating analogies in various cognitive and motivational aspects. However, they also point out the various difficulties in the self-generating analogies as their disadvantages. Educational implications of these findings are discussed.

Cross-Enrichment of the Heterogenous Ontologies Through Mapping Their Conceptual Structures: the Case of Sejong Semantic Classes and KorLexNoun 1.5 (이종 개념체계의 상호보완방안 연구 - 세종의미부류와 KorLexNoun 1.5 의 사상을 중심으로)

  • Bae, Sun-Mee;Yoon, Ae-Sun
    • Language and Information
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    • v.14 no.1
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    • pp.165-196
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    • 2010
  • The primary goal of this paper is to propose methods of enriching two heterogeneous ontologies: Sejong Semantic Classes (SJSC) and KorLexNoun 1.5 (KLN). In order to achieve this goal, this study introduces the pros and cons of two ontologies, and analyzes the error patterns found during the fine-grained manual mapping processes between them. Error patterns can be classified into four types: (1) structural defectives involved in node branching, (2) errors in assigning the semantic classes, (3) deficiency in providing linguistic information, and (4) lack of the lexical units representing specific concepts. According to these error patterns, we propose different solutions in order to correct the node branching defectives and the semantic class assignment, to complement the deficiency of linguistic information, and to increase the number of lexical units suitably allotted to their corresponding concepts. Using the results of this study, we can obtain more enriched ontologies by correcting the defects and errors in each ontology, which will lead to the enhancement of practicality for syntactic and semantic analysis.

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Development of Polymorphic Microsatellite Markers Suitable for Genetic Linkage Mapping of Olive Flounder Paralichthys olivaceus

  • Kim, Woo-Jin;Shin, Eun-Ha;Kong, Hee Jeong;Nam, Bo-Hye;Kim, Young-Ok;Jung, Hyungtaek;An, Cheul Min
    • Fisheries and Aquatic Sciences
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    • v.16 no.4
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    • pp.303-309
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    • 2013
  • Microsatellite markers are important for gene mapping and for marker-assisted selection. Sixty-five polymorphic microsatellite markers were developed with an enriched partial genomic library from olive flounder Paralichthys olivaceus an important commercial fish species in Korea. The variability of these markers was tested in 30 individuals collected from the East Sea (Korea). The number of alleles for each locus ranged from 2 to 33 (mean, 17.1). Observed and expected heterozygosity as well as polymorphism information content varied from 0.313 to 1.000 (mean, 0.788), from 0.323 to 0.977 (mean, 0.820), and from 0.277 to 0.960 (mean, 0.787), respectively. Nine loci showed significant deviation from the Hardy-Weinberg equilibrium after sequential Bonferroni correction. Analysis with MICROCHECKER suggested the presence of null alleles at five of these loci with estimated null allele frequencies of 0.126-0.285. These new microsatellite markers from genomic libraries will be useful for constructing a P. olivaceus linkage map.

Development and Characterization of Novel Rapeseed (Brassica napus L.) Mutant Lines through Mutation Breeding

  • Baul Yang;Sang Hoon Kim;Joon-Woo Ahn;Chang-Hyu Bae;Jaihyunk Ryu
    • Proceedings of the Plant Resources Society of Korea Conference
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    • 2022.09a
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    • pp.23-23
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    • 2022
  • Rapeseed (Brassica napus L.) is one of the most valuable oilseed crop in the world. It is widely used in various industries, such as food, animal feed, energy and chemical industries. In order to improve the industrial requirements for rapeseed, useful agronomic characteristics (higher yields and disease resistance etc.) and modified oil traits (fatty acid composition and fat content) are important in rapeseed. However, Korea has limiting genetic resources of novel traits in rapeseed. In this research, novel rapeseed mutant genotypes by mutation breeding was developed. The mutant lines were generated by the treatment of the seeds of the original cultivar 'Tamra' with 700 Gy of gamma-ray (60Co). Mutants showing varied in flowering time, crude fat content, seed yield and fatty acid content that exhibited stable inheritance of the mutated characteristics from M5 to M7 generations were selected. We investigated genetic variation using SNPs identified from GBS analysis in rapeseed mutant lines derived from the gamma-ray, and interactions between the major agronomic and the oil traits. Significantly associated SNP loci were explored along with candidate genes using SNPs obtained by GBS analysis. As a results of association mapping, a total of 322 SNPs were significantly associated with agronomic traits (155 SNPs) and oil traits (167 SNPs). A total of 70 genes were annotated from agronomic characteristics SNPs; among them 7 genes significantly enriched in developmental process, and a total of 70 genes were annotated from crude fat content and fatty acid compositions SNPs; among them, 11genes were significantly enriched in biosynthetic process. These results could be used for the selection of rapeseed cultivar with enhanced qualities and potential economic benefits.

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The Effects of Analogy-Generating in Small Group on Saturated Solution in Elementary Science-Gifted Education (초등 과학영재교육에서 포화용액 개념에 대한 소집단 비유 만들기의 효과)

  • Yoon, Jin-A;Kang, Hun-Sik
    • Journal of the Korean Chemical Society
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    • v.55 no.3
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    • pp.509-518
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    • 2011
  • In this study, we investigated the effects of analogy-generating in small group in elementary science-gifted education upon the types and the mapping errors of student-generated analogies, and the perceptions of the instruction. Fifth graders (N=37) at two science-gifted classes in two elementary schools were selected and assigned to individualistic analogygenerating (IA, n=19) and pair analogy-generating (PA, n=18) groups. After the students of each group performed the experiment and were taught about 'saturated solution' concept in the first class, they administered the test on the self-generating analogies on the concept in the second class. The students in the PA group also administered the test on perceptions of analogy-generating in small group and some of them were interviewed deeply. The results revealed that the students in the PA group made more verbal/pictorial, structural/functional, enriched, and higher systematic analogies than those in the IA group. However, there were little difference between the two groups in the subcategories of artificiality (artificial and everyday) and abstraction (abstract and concrete). The students in the PA group fewer mapping errors than those in the IA group. Many students in PA group perceived the analogy-generating in small group positively upon various cognitive and motivational aspects. However, they also pointed a few disadvantages of the activity. Educational implications of these findings are discussed.

Construction of a Bacterial Artificial Chromosome Library Containing Large BamHI Genomic Fragments from Medicago truncatula and Identification of Clones Linked to Hypernodulating Genes

  • Park So-Yeon;Nam Young-Woo
    • Journal of Microbiology and Biotechnology
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    • v.16 no.2
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    • pp.256-263
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    • 2006
  • In the model legume Medicago truncatula, two mutants, sickle and sunn, exhibit morphologically and genetically distinct hypernodulation phenotypes. However, efforts to isolate the single recessive and single semidominant genes for sickle and sunn, respectively, by map-based cloning have so far been unsuccessful, partly due to the absence of clones that enable walks from linked marker positions. To help resolve these difficulties, a new bacterial artificial chromosome (BAC) library was constructed using BamHI-digested genomic fragments. A total of 23,808 clones were collected from ligation mixtures prepared with double-size-selected high-molecular-weight DNA. The average insert size was 116 kb based on an analysis of 88 randomly selected clones using NotI digestion and pulsed-field gel electrophoresis. About 18.5% of the library clones lacked inserts. The frequency of the BAC clones carrying chloroplast or mitochondrial DNA was 0.98% and 0.03%, respectively. The library represented approximately 4.9 haploid M. truncatula genomes. Hybridization of the BAC clone filters with a $C_{0}t-l$ DNA probe revealed that approximately 37% of the clones likely carried repetitive sequence-enriched DNA. An ordered array of pooled BAC DNA was screened by polymerase chain reactions using 13 sequence-characterized molecular markers that belonged to the eight linkage groups. Except for two markers, one to five positive BAC clones were obtained per marker. Accordingly, the sickle- and sunn-linked BAC clones identified herein will be useful for the isolation of these biotechnologically important genes. The new library will also provide clones that fill the gaps between preexisting BAC contigs, facilitating the physical mapping and genome sequencing of M. truncatula.