• 제목/요약/키워드: 4k even number

검색결과 903건 처리시간 0.032초

THE λ-NUMBER OF THE CARTESIAN PRODUCT OF A COMPLETE GRAPH AND A CYCLE

  • Kim, Byeong Moon;Song, Byung Chul;Rho, Yoomi
    • Korean Journal of Mathematics
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    • 제21권2호
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    • pp.151-159
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    • 2013
  • An $L(j,k)$-labeling of a graph G is a vertex labeling such that the difference of the labels of any adjacent vertices is at least $j$ and that of any vertices of distance two is at least $k$ for given $j$ and $k$. The minimum span of all L(2, 1)-labelings of G is called the ${\lambda}$-number of G and is denoted by ${\lambda}(G)$. In this paper, we find a lower bound of the ${\lambda}$-number of the Cartesian product $K_m{\Box}C_n$ of the complete graph $K_m$ of order $m$ and the cycle $C_n$ of order $n$. In fact, we show that when $n{\geq}3$, ${\lambda}(K_4{\Box}C_n){\geq}7$ and the equality holds if and only if n is a multiple of 8. Moreover when $m{\geq}5$, ${\lambda}(K_m{\Box}C_n){\geq}2m-1$ and the equality holds if and only if $n$ is even.

Change of Blood Cells' Number from Capillaries and Venous Blood of 20's Healthy Adults

  • Seon, Ji-Yeong;Lee, Jae Sik
    • 대한임상검사과학회지
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    • 제43권4호
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    • pp.156-160
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    • 2011
  • It was confirmed that we got somewhat different results even though we performed same items with same methods from capillaries and venous blood of healthy 72 cases. Items which capillaries blood has higher value than venous blood are the numbers of erythrocyte, lymphocyte, basophil, hematocrit, MCHC and RDW. Total numbers of RBC (p<0.035), lymphocyte and basophil are shown statistically significance. Items which venous blood has higher value than capillary blood are the numbers of platelet (p<0.00) and neutrophil (p<0.01). Fallible items in clinics can be shown the numbers of RBC, platelet, lymphocyte and neutrophil because we got somewhat different results even though we performed same items with same methods from capillaries and venous blood, respectively. It is necessary to choose the clear criteria and normal value depends on clinical specimen as the number of platelets are measured with an abnormal value shown over 40% down. As normal difference according to each item and method is currently acceptable and applicable in clinics, it is considered that a new normal value depends on clinical specimen should be established and is to be useful positively in clinics.

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PAIR DIFFERENCE CORDIAL LABELING OF PETERSEN GRAPHS P(n, k)

  • R. PONRAJ;A. GAYATHRI;S. SOMASUNDARAM
    • Journal of Applied and Pure Mathematics
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    • 제5권1_2호
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    • pp.41-53
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    • 2023
  • Let G = (V, E) be a (p, q) graph. Define $${\rho}=\{{\frac{2}{p}},\;{\text{{\qquad} if p is even}}\\{\frac{2}{p-1}},\;{{\text{if p is odd}}$$ and L = {±1, ±2, ±3, … , ±ρ} called the set of labels. Consider a mapping f : V ⟶ L by assigning different labels in L to the different elements of V when p is even and different labels in L to p-1 elements of V and repeating a label for the remaining one vertex when p is odd.The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) - f(v)| such that ${\mid}{\Delta}_{f_1}-{\Delta}_{f^c_1}{\mid}{\leq}1$, where ${\Delta}_{f_1}$ and ${\Delta}_{f^c_1}$ respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate pair difference cordial labeling behaviour of Petersen graphs P(n, k) like P(n, 2), P(n, 3), P(n, 4).

4-{4'-(니트로페닐아조)펜옥시}알칸 산들 그리고 4-{4'-(니트로페닐아조)펜옥시}알카노일 클로라이드들의 열방성 액정 거동 (Thermotropic Liquid Crystalline Behaviors of 4-{4'-(nitrophenylazo)phenoxy}alkanoic Acids and 4-{4'-(nitrophenylazo)phenoxy}alkanoyl Chlorides)

  • 정승용;마영대
    • 공업화학
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    • 제19권5호
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    • pp.504-511
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    • 2008
  • 두 종류의 니트로아조벤젠 유도체들, 즉 4-{4'-(니트로페닐아조)펜옥시}알칸 산(NAAn, n = 2~8, 10, 알킬 사슬 중의 메틸렌 기의 수) 그리고 4-{4'-(니트로페닐아조)펜옥시}알카노일 클로라이드(NACn, n = 2~8, 10)을 합성함과 동시에 이들의 열방성 액정의 거동을 검토하였다. NAA6은 쌍방성 네마틱 상을 형성하는 반면 NAA2을 제외한 나머지 유도체들은 단방성 네마틱 상을 형성하였다. NAAn 그리고 NACn이 나타내는 액체 상에서 네마틱 상으로의 전이온도($T_{iN}$) 그리고 $T_{iN}$에서의 엔트로피 변화(${\Delta}S$)는 n의 변화에 따라 현저한 홀수-짝수 효과를 나타냈다. 그러나 NAAn의 $T_{iN}$ 그리고 ${\Delta}S$는 n이 동일한 NACn의 $T_{iN}$ 그리고 ${\Delta}S$ 값에 비해 대단히 높았다. 이러한 사실은 카복실 그룹간에 작용하는 수소결합력에 의해 초래되는 것으로 생각된다. NAAn 그리고 NACn이 나타내는 액정 상의 열적 안정성과 질서도 그리고 홀수-짝수 효과는 4-(알콕시)-4'-니트로아조벤젠들에 대해 보고되어 있는 결과와는 현저히 달랐다. 이러한 특성을 분자의 이방성 그리고 온도에 의존하는 치환기 그룹의 유연성 차이 견지에서 검토하였다.

Conception and Performance Analysis of Efficient CDMA-Based Full-Duplex Anti-collision Scheme

  • Cao, Xiaohua;Li, Tiffany
    • ETRI Journal
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    • 제37권5호
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    • pp.929-939
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    • 2015
  • Ultra-high-frequency radio-frequency identification (UHF RFID) is widely applied in different industries. The Frame Slotted ALOHA in EPC C1G2 suffers severe collisions that limit the efficiency of tag recognition. An efficient full-duplex anti-collision scheme is proposed to reduce the rate of collision by coordinating the transmitting process of CDMA UWB uplink and UHF downlink. The relevant mathematical models are built to analyze the performance of the proposed scheme. Through simulation, some important findings are gained. The maximum number of identified tags in one slot is g/e (g is the number of PN codes and e is Euler's constant) when the number of tags is equal to mg (m is the number of slots). Unlike the Frame Slotted ALOHA, even if the frame size is small and the number of tags is large, there aren't too many collisions if the number of PN codes is large enough. Our approach with 7-bit Gold codes, 15-bit Gold codes, or 31-bit Gold codes operates 1.4 times, 1.7 times, or 3 times faster than the CDMA Slotted ALOHA, respectively, and 14.5 times, 16.2 times, or 18.5 times faster than the EPC C1 G2 system, respectively. More than 2,000 tags can be processed within 300 ms in our approach.

위도구배에 따른 한국 동해안 암반조하대 복족류의 출현 종 수 및 종다양성 변이 (Latitudinal Variation of the Number of Species and Species Diversity in Shelled Gastropods of Eastern Coast of Korea)

  • 손민호;이정우;문창호;김성;전찬길
    • 한국패류학회지
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    • 제20권2호
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    • pp.159-164
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    • 2004
  • In the present study we examined latitudinal trend of the number of species and species diversity of rocky subtidal shelled gastropods. Specimens were sampled from four wave-exposed sites along the eastern coast of Korea between Sockcho (38$^{\circ}$14"N_ and Busan (35$^{\circ}$06"N), covering a range of over ca. 440 km and 4$^{\circ}$ of latitude. At a small local scale, the number of species showed a latitudinal trend, decreased with decreasing of latitude, even though no clear trends in species diversity were detected. The present result, consequently, suggest that regulation of small-scale local diversity presumably results from the difference of the local micro-environment.

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3D simulation of railway bridges for estimating fundamental frequency using geometrical and mechanical properties

  • Moazam, Adel Mahmoudi;Hasani, Nemat;Yazdani, Mahdi
    • Advances in Computational Design
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    • 제2권4호
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    • pp.257-271
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    • 2017
  • There are many plain concrete arch bridges in Iran that have been used as railway bridges for more than seventy years. Owe to the fact that these bridges have not been designed seismically, and even may be loaded under high-speed trains, evaluation of fundamental frequencies of the bridges against earthquake and high-speed train vibrations is necessary for considering dynamics effects. To evaluate complex behavior of these bridges, results of field tests are useful. Since it is not possible to perform field tests for all arch bridges, these structures should be simulated correctly by computers for structural assessment. Several parameters are employed to describe the bridges, such as number of spans, length of spans, geometrical and material properties. In this study, results of field tests are used for modal analysis and adapted for 64 three dimensional finite element models with various physical parameters. Computer simulations show length of spans has important effect on fundamental frequencies of plain concrete arch bridge and modal deformations of bridges is in longitudinal and transverse directions. Also, these results demonstrate that fundamental frequencies of bridges decrease after increasing span length and number of spans. Plus, some relations based in the number of spans (n) and span length (l) are proposed for calculation of fundamental frequencies of plain concrete arch bridge.

The Simple and Rough Screening Method of Phosphorus Deficient Tolerance Rice

  • Hwang, Woon-Ha;Kim, Dae-Wook;Jeong, Jae-Heok;Jeong, Han-Yong;Lee, Hyen-Seok;Choi, Kyung-Jin;Lee, Gun-Hwi;Lee, In-Jung;Oh, Sung-Hwan
    • 한국작물학회지
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    • 제60권4호
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    • pp.412-420
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    • 2015
  • Even though phosphorus (P) is essential element for plant growth and development, it is not enough for crop production in soil. To breed more P deficient tolerance rice, screening and selection in rice population is needed. We tried to develop more simple and rough screening method for breeding of P deficient tolerance rice. In P deficient condition, tiller number was dramatically decreased among yield components in rice. Though this result, we confirmed tiller number could be the best marker in screening of P deficient tolerance rice. 480 rice genetic resources were cultivated in rice bed tray filled with P deficient soil for four weeks and each dry weight was measured. Among them, the 55 kinds of genetic resource were selected then cultivated in paddy field with 3 fertilizer conditions. Plant dry weight and tiller number in ripening stage were shown significant difference according to P condition. Plant dry weight and tiller number in ripening stage was highly correlated especially in P deficient condition. Furthermore, the tiller number in ripening stage and plant dry weight in rough screening were shown high degree correlation. Though these results, we might expect measuring of plant dry weight after cultivation in rice bed tray filled with P deficient soil could be a simple and effective screening method in selection of P deficient tolerance rice.

Semi-automatic Field Morphing : Polygon-based Vertex Selection and Adaptive Control Line Mapping

  • Kwak, No-Yoon
    • International Journal of Contents
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    • 제3권4호
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    • pp.15-21
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    • 2007
  • Image morphing deals with the metamorphosis of one image into another. The field morphing depends on the manual work for most of the process, where a user has to designate the control lines. It takes time and requires skills to have fine quality results. It is an object of this paper to propose a method capable of realizing the semi-automation of field morphing using adaptive vertex correspondence based on image segmentation. The adaptive vertex correspondence process efficiently generates a pair of control lines by adaptively selecting reference partial contours based on the number of vertices that are included in the partial contour of the source morphing object and in the partial contour of the destination morphing object, in the pair of the partial contour designated by external control points through user input. The proposed method generates visually fluid morphs and warps with an easy-to-use interface. According to the proposed method, a user can shorten the time to set control lines and even an unskilled user can obtain natural morphing results as he or she designates a small number of external control points.

Five Laws and Libraries in Korea: Are We in the Right Direction?

  • Yoon, Cheong-Ok
    • 한국문헌정보학회지
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    • 제45권4호
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    • pp.297-308
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    • 2011
  • This paper discusses the current situation of public libraries in Korea, from the viewpoint of Ranganathan's 'Five Laws of Library Science'. Public libraries have very rapidly grown in Korea in the past ten years. With an average growth rate of 5.8% per year, the number of public libraries reached to 703 in 2009, and the number of people served per library have gradually reduced every year, even if still far below other advanced countries. However, there are still some attempts to retrain people of their right to read whatever they want. In this paper, it is emphasized that in public libraries more attention and financial and strategic assistance should be given to the disadvantaged people, and the equal right to benefit from library services should be ensured. And the library as a growing organism should be balanced with the responsible library director, devoted librarians, and concerned people in the community.