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THE BASES OF PRIMITIVE NON-POWERFUL COMPLETE SIGNED GRAPHS

  • Song, Byung Chul;Kim, Byeong Moon
    • Korean Journal of Mathematics
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    • v.22 no.3
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    • pp.491-500
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    • 2014
  • The base of a signed digraph S is the minimum number k such that for any vertices u, v of S, there is a pair of walks of length k from u to v with different signs. Let K be a signed complete graph of order n, which is a signed digraph obtained by assigning +1 or -1 to each arc of the n-th order complete graph $K_n$ considered as a digraph. In this paper we show that for $n{\geq}3$ the base of a primitive non-powerful signed complete graph K of order n is 2, 3 or 4.

EVERY LINK IS A BOUNDARY OF A COMPLETE BIPARTITE GRAPH K2,n

  • Jang, Yongjun;Jeon, Sang-Min;Kim, Dongseok
    • Korean Journal of Mathematics
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    • v.20 no.4
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    • pp.403-414
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    • 2012
  • A voltage assignment on a graph was used to enumerate all possible 2-cell embeddings of a graph onto surfaces. The boundary of the surface which is obtained from 0 voltage on every edges of a very special diagram of a complete bipartite graph $K_{m,n}$ is surprisingly the ($m,n$) torus link. In the present article, we prove that every link is the boundary of a complete bipartite multi-graph $K_{m,n}$ for which voltage assignments are either -1 or 1 and that every link is the boundary of a complete bipartite graph $K_{2,n}$ for which voltage assignments are either -1, 0 or 1 where edges in the diagram of graphs may be linked but not knotted.

LAURENT PHENOMENON FOR LANDAU-GINZBURG MODELS OF COMPLETE INTERSECTIONS IN GRASSMANNIANS OF PLANES

  • Przyjalkowski, Victor;Shramov, Constantin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1527-1575
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    • 2017
  • In a spirit of Givental's constructions Batyrev, Ciocan-Fontanine, Kim, and van Straten suggested Landau-Ginzburg models for smooth Fano complete intersections in Grassmannians and partial flag varieties as certain complete intersections in complex tori equipped with special functions called superpotentials. We provide a particular algorithm for constructing birational isomorphisms of these models for complete intersections in Grassmannians of planes with complex tori. In this case the superpotentials are given by Laurent polynomials. We study Givental's integrals for Landau-Ginzburg models suggested by Batyrev, Ciocan-Fontanine, Kim, and van Straten and show that they are periods for pencils of fibers of maps provided by Laurent polynomials we obtain. The algorithm we provide after minor modifications can be applied in a more general context.

Complete Simultaneous Analysis of Uranium Isotopes in NUSIMEP-7 Microparticles Using SEM-TIMS

  • Park, Jong-Ho;Jeong, Kahee
    • Mass Spectrometry Letters
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    • v.7 no.3
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    • pp.64-68
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    • 2016
  • Scanning electron microscopy combined with thermal ionization mass spectrometry (SEM-TIMS) was used to determine the precise isotope ratios of ultra-trace levels of uranium contained in individual microparticles. An advanced multiple ion counter system consisting of three secondary ion multipliers and two compact discrete dynodes was used for complete simultaneous ion detection. For verification purposes, using TIMS with complete simultaneous measurement, isotopes were analyzed in 5 pg of uranium of a certified reference material. A microprobe in the SEM was used to transfer individual particles from a NUSIMEP-7 sample to TIMS filaments, which were then subjected to SEM-TIMS and complete simultaneous measurement. The excellent agreement in the resulting uranium isotope ratios with the certified NUSIMEP-7 values shows the validity of SEM-TIMS with complete simultaneous measurement for the analysis of uranium isotopes in individual particles. Further experimental study required for investigation of simultaneous measurement using the advanced multiple ion counter system is presented.

Complete Weight Enumerator of the Delsarte-Goethals Code over $Z_4$ ($Z_4$상에서 정의된 Delsarte-Goethals 부호의 완전 무게 분포)

  • 신동준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.8C
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    • pp.765-770
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    • 2003
  • In this paper, the complete weight enumerator of the Delsarte-Goethals code over Z$_4$ is obtained. This code is divided into 3 cases and the complete weight enumerator of each case is calculated. During this weight enumeration, the blown distribution of exponential sums and binary weight distribution of the sub-codes are used. By combining this result and MacWilliams identity, the complete weight enumerator of the Goethals code over Z$_4$can be easily obtained. This result is also used for finding 3-designs from the Goethals and Delsarte-Goethals codes over Z$_4$.

Complete Tunneling of Light via Local Barrier Modes in A Composite Barrier with Metamaterials

  • Kim, Kyoung-Youm;Kim, Sae-Hwa
    • Journal of the Optical Society of Korea
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    • v.12 no.4
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    • pp.314-318
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    • 2008
  • We investigate the conditions of the complete tunneling of light across a composite barrier made of multiple layers involving metamaterials. It is shown that complete tunneling phenomena are related to the resonance transmission properties of local modes formed in barrier layers and that there are two distinctive kinds of local barrier modes involved in actual complete tunneling: the degenerate inner-barrier mode and the full barrier mode. Complete tunneling occurs via two successive mode couplings: from the incident plane wave to the plane wave in the transmission layer through the direct mediation of these two kinds of local barrier modes.

THE ARTINIAN COMPLETE INTERSECTION QUOTIENT AND THE STRONG LEFSCHETZ PROPERTY

  • Shin, Yong-Su
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.2
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    • pp.251-260
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    • 2019
  • It has been little known when an Artinian (point) quotient has the strong Lefschetz property. In this paper, we find the Artinian complete intersection quotient having the SLP. More precisely, we prove that if ${\mathbb{X}}$ is a complete intersection in ${\mathbb{P}}^2$ of type (2, 2) and ${\mathbb{Y}}$ is a finite set of points in ${\mathbb{P}}^2$ such that ${\mathbb{X}}{\cup}{\mathbb{Y}}$ is a basic configuration of type (2, a) with $a{\geq}3$ or (3, a) with a = 3, 4, 5, 6, then $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP. We also show that if ${\mathbb{X}}$ is a complete intersection in ${\mathbb{P}}^2$ of type (3, 2) and ${\mathbb{Y}}$ is a finite set of points in ${\mathbb{P}}^2$ such that ${\mathbb{X}}{\cup}{\mathbb{Y}}$ is a basic configuration of type (3, 3) or (3, 4), then $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP.

Sequencing and annotation of the complete mitochondrial genome of a threatened labeonine fish, Cirrhinus reba

  • Islam, Mohammad Nazrul;Sultana, Shirin;Alam, Md. Jobaidul
    • Genomics & Informatics
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    • v.18 no.3
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    • pp.32.1-32.7
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    • 2020
  • The mitochondrial genome of a species is an essential resource for its effective conservation and phylogenetic studies. In this article, we present sequencing and characterization of the complete mitochondrial genome of a threatened labeonine fish, Cirrhinus reba collected from Khulna region of Bangladesh. The complete mitochondrial genome was 16,597 bp in size, which formed a circular double-stranded DNA molecule containing a total of 37 mitochondrial genes (13 protein-coding genes, 2 ribosomal RNA genes, and 22 transfer RNA genes) with two non-coding regions, an origin of light strand replication (OL) and a displacement loop (D-loop), similar structure with other fishes of Teleostei. The phylogenetic tree demonstrated its close relationship with labeonine fishes. The complete mitogenome of Cirrhinus reba (GenBank no. MN862482) showed 99.96% identity to another haplotype of Cirrhinus reba (AP013325), followed by 90.18% identity with Labeo bata (AP011198).

WalkON Suit: A Wearable Robot for Complete paraplegics (WalkON Suit: 하지 완전마비 장애인을 위한 웨어러블 로봇)

  • Choi, Jungsu;Na, Byeonghun;Jung, Pyeong-Gook;Rha, Dong-wook;Kong, Kyoungchul
    • The Journal of Korea Robotics Society
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    • v.12 no.2
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    • pp.116-123
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    • 2017
  • Wearable robots are receiving great attention from the public, as well as researchers, because its motivation is to improve the quality of lives of people. Above all, complete paraplegic patients due to spinal cord injury (SCI) might be the most adequate target users of the wearable robots, because they definitely need physical assistance due to the complete loss of muscular strength and sensory functions. Furthermore, the medical care of complete paraplegics by using the wearable robots have significantly reduced the mortality rate and improved the life expectancy. The requirements of the wearable robot for complete paraplegics are actuation torque, locomotion speed, wearing sensation, robust gait stability, safety, and practicality (i.e., size, volume, weight, and energy efficiency). A WalkON Suit is the wearable robot that has satisfied the requirements of the wearable robot for complete paraplegics and participated in the powered exoskeleton race of Cybathlon 2016. In this paper, configuration of the WalkON Suit, human-machine interface, gait pattern, control algorithm, and evaluation results are introduced.

What Factors Cause a Complete Examination of Infant Health Checkup? (영유아 건강검진 완전수검 여부 관련 요인)

  • Kang, Seungjin;Chung, Woojin;Kim, Heejin;Lee, Sunmi
    • Health Policy and Management
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    • v.24 no.3
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    • pp.261-270
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    • 2014
  • Background: This study examined what factors affected a complete examination of infant health checkup. Methods: We used Korean national health insurance claim data of 2,936,650 infants, taking examination in 2012. These claim data included enrollment status of householders and records of infant health checkup from 2008 to 2013. Results: Our results shows that for infant characteristics, the likelihood of complete examination of infant health checkup is significantly lower in female, older aged, and handicapped ones. For householder characteristics, the likelihood of complete examination of infant health checkup is also significantly lower in female, older group and self-employed ones. For household characteristics, the likelihood of complete examination is also significantly lower in single-parent families, multi-cultural families, parent with unexperienced health checkup and lower monthly premiums. Conclusion: It is necessary to support an additional use-guide and follow-up management services to improve incomplete examination of infant health checkup.