• Title/Summary/Keyword: order sequence

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A COMPLETENESS ON GENERALIZED FIBONACCI SEQUENCES

  • Lee, Gwang-Yeon
    • Bulletin of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.239-249
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    • 1995
  • Let $V = (v_1, v_2, \cdots)$ be a sequence of positive integers arranged in nondecreasing order. We define V to be complete if every positive integer n is the sum of some subsequence of V, that is, $$ (1.1) n = \sum_{i=1}^{\infty} a_i v_i where a_i = 0 or 1.

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A Study on the Sequence of Teaching Multiplication Facts in the Elementary School Mathematics (초등수학에서의 곱셈구구 지도 순서에 대한 고찰)

  • Kim, Sung Joon
    • East Asian mathematical journal
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    • v.32 no.4
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    • pp.443-464
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    • 2016
  • The purpose of ths study is to compare and analyze the sequence of teaching multiplication facts in the elementary school mathematics. Generally, the multiplication in the elementary school mathematics is composed of the followings; concepts of multiplication, situations involving multiplication, didactical models for multiplication, and multiplication strategies for teaching multiplication facts. This study is focusing to multiplication facts, especially to the sequence of teaching and multiplication strategies. The method of this study is a comparative and analytic method. In order to compare textbooks, we select the Korean elementary mathematics textbooks(1st curriculum~2009 revised curriculum) and the 9 foreign elementary mathematics textbooks(Japan, China, Germany, Finland, Hongkong etc.). As results of comparative investigation, the sequence of teaching multiplication facts is reconsidered on a basis of elementary students' mathematical thinking. And the connectivity of multiplication facts is strengthened in comparison with the foreign elementary mathematics textbooks. Finally multiplication strategies for teaching multiplication facts are discussed for more understanding and reasoning the principles of multiplication facts in the elementary school mathematics.

Load Scheduling Using a Genetic Algorithm in Port Container Terminals (컨테이너 터미날에서의 유전자 해법을 이용한 적하계획법)

  • Kim, Kap-Hwan;Kim, Ki-Young;Ko, Chang-Seong
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.4
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    • pp.645-660
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    • 1997
  • An application of the genetic algorithm(GA) to the loading sequencing problem in port container terminals is presented in this paper. The efficiency of loading operations in port container terminals is highly dependent on the loading sequence of export containers. In order to sequence the loading operation, we hove to determine the route of each container handling equipment (transfer crane or straddle carried in the yard during the loading operation. The route of a container handling equipment is determined in a way of minimizing the total container handling time. An encoding method is developed which keeps intermediate solutions feasible and speeds up the evolution process. We determine the sequence of each individual container which the container handling equipment picks up at each yard-bay as well as the visiting sequence of yard-bays of the equipment during the loading operation. A numerical experiment is carried out to evaluate the performance of the algorithm developed.

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A Study on a Sequence View of Multiple Dwelling Zone -Focusing on Quantitative Analysis- (집합주택단지 Sequence 경관에 관한 연구 -정량적 분석을 중심으로-)

  • 최석창;이봉수;조용준
    • Journal of the Korean housing association
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    • v.12 no.4
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    • pp.123-129
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    • 2001
  • The purpose of this study is to understand a view in the light of sequence by human\\`s moving by quantitatively dealing with the elements of sequence view of multiple dwelling zone and to explain its characteristics. As a result, this study found that the sequence view of multiple dwelling zone makes difference according to the degree of sequential changes, layout form, width and moving interval in the zone, as well as view elements outside the zone. The changes in view elements are also treated qualitatively in comparing each multiple dwelling zone in order to explain the characteristics of view of multiple dwelling zone using their mean value and change coefficient.

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Method for Generating Optimal Disassembly Sequence of End-of-Life Car′s Parts (폐자동차 부품의 최적 분리순서 생성을 위한 방법론)

  • 박홍석;최홍원;목학수;문광섭;성재현
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.9
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    • pp.188-196
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    • 2003
  • In order to increase competitiveness and to gain economic benefit, companies ask more and more how to recycle their products in a efficient way. So far, to answer this question, companies are not sufficiently supported by suitable methods specially in the area of disassembly process planning. For this reason, we develop in collaboration with an industrial partner a new method for generating an optimal disassembly sequence. In the presented paper this method will be described in detail by considering the exiting assembly information, disassembly method and disassembly depth. PLM (Profit-Loss Margin) curve that is used to determine disassembly depth consists of profit value, disassembly cost and disassembly effect. Using assessment parameters, generated alternative disassembly sequences are evaluated and optimal disassembly sequence is proposed. This method is applied to generate the optimal disassembly sequence of Door Trim as an example.

ON EXTREMAL SORT SEQUENCES

  • Yun, Min-Young;Keum, Young-Wook
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.239-252
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    • 2002
  • A sort sequence $S_n$ is sequence of all unordered pairs of indices in $I_n$={1,2,…n}. With a sort sequence $S_n$ = ($s_1,S_2,...,S_{\frac{n}{2}}$),one can associate a predictive sorting algorithm A($S_n$). An execution of the a1gorithm performs pairwise comparisons of elements in the input set X in the order defined by the sort sequence $S_n$ except that the comparisons whose outcomes can be inferred from the results of the preceding comparisons are not performed. A sort sequence is said to be extremal if it maximizes a given objective function. First we consider the extremal sort sequences with respect to the objective function $\omega$($S_n$) - the expected number of tractive predictions in $S_n$. We study $\omega$-extremal sort sequences in terms of their prediction vectors. Then we consider the objective function $\Omega$($S_n$) - the minimum number of active predictions in $S_n$ over all input orderings.

Current Distribution Factor Based Fault Location Algorithms for Double-circuit Transmission Lines (전류분배계수를 사용하는 병행 2회선 송전선로 고장점 표정 알고리즘)

  • Ahn, Yong-Jin;Kang, Sang-Hee;Choi, Myeon-Song;Lee, Seung-Jae
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.3
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    • pp.146-152
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    • 2001
  • This paper describes an accurate fault location algorithm based on sequence current distribution factors for a double-circuit transmission system. The proposed method uses the voltage and current collected at only the local end of a single-circuit. This method is virtually independent of the fault resistance and the mutual coupling effect caused by the zero-sequence current of the adjacent parallel circuit and insensitive to the variation of source impedance. The fault distance is determined by solving the forth-order KVL(Kirchhoff's Voltage Law) based distance equation. The zero-sequence current of adjacent circuit is estimated by using a zero-sequence current distribution factor and the zero-sequence current of the self-circuit. Thousands of fault simulation by EMTP have proved the accuracy and effectiveness of the proposed algorithm.

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The main sequence of star forming galaxies at intermediate redshift

  • Salmi, Fadia
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.2
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    • pp.71.2-71.2
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    • 2014
  • processes at the origin of the star formation in the galaxies over the last 10 billions years. While it was proposed in the past that merging of galaxies has a dominant role to explain the triggering of the star formation in the distant galaxies having high star formation rates. In the opposite, more recent studies revealed scaling laws linking the star formation rate in the galaxies to their stellar mass or their gas mass. The small dispersion of these laws seems to be in contradiction with the idea of powerful stochastic events due to interactions, but rather in agreement with the new vision of galaxy history where the latter are continuously fed by intergalactic gas. I was especially interested in one of this scaling law, the relation between the star formation (SFR) and the stellar mass (M*) of galaxies, commonly called the main sequence of star forming galaxies. I have studied this main sequence, SFR-M*, in function of the morphology and other physical parameters as the radius, the colour, the clumpiness. The goal was to understand the origin of the sequence's dispersion related to the physical processes underlying this sequence in order to identify the main mode of star formation controlling this sequence. This work needed a multi-wavelength approach as well as the use of galaxies profile simulation to distinguish between the different galaxy morphological types implied in the main sequence.

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Granulosicoccaceae fam. nov., to Include Granulosicoccus antarcticus gen. nov., sp. nov., a Non-phototrophic, Obligately Aerobic Chemoheterotroph in the Order Chromatiales, Isolated from Antarctic Seawater

  • Lee, Ki-Young;Lee, Hong-Kum;Choi, Tae-Hwan;Kim, Kyung-Mi;Cho, Jang-Cheon
    • Journal of Microbiology and Biotechnology
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    • v.17 no.9
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    • pp.1483-1490
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    • 2007
  • A Gram-negative, motile by tuft flagella, obligately aerobic chemoorganoheterotrophic, sphere-form bacterium, designated $IMCC3135^T$, was isolated from the Antarctic surface seawater of King George Island, West Antarctica. The strain was mesophilic, neutrophilic, and requiring NaCl for growth, but neither halophilic nor halotolerant. The 16S rRNA gene sequence analysis indicated that the strain was most closely related to genera of the order Chromatiales in the class Gammaproteobacteria. The most closely related genera showed less than 90% 16S rRNA gene sequence similarity and included Thioalkalispira (89.9%), Thioalkalivibrio (88.0%-89.5%), Ectothiorhodospira (87.9%-89.3%), Chromatium (88.3%-88.9%), and Lamprocystis (87.7%-88.9%), which represent three different families of the order Chromatiales. Phylogenetic analyses showed that this Antarctic strain represented a distinct phylogenetic lineage in the order Chromatiales and could not be assigned to any of the defined families in the order. Phenotypic characteristics, including primarily non-phototrophic, non-alkaliphilic, non-halophilic, and obligately aerobic chemoheterotrophic properties, differentiated the strain from other related genera. The very low sequence similarities (<90%) and distant relationships between the strain and members of the order suggested that the strain merited classification as a novel genus within a novel family in the order Chromatiales. On the basis of these taxonomic traits, a novel genus and species is proposed, Granulosicoccus antarcticus gen. nov., sp. nov., in a new family Granulosicoccaceae fam. nov. Strain $IMCC3135^T\;(=KCCM42676^T=NBRC\;102684^T)$ is the type strain of Granulosicoccus antarcticus.

A Study on the Teaching Effect Based on the Learning Hierarchy in the "Life Continuity" (생명의 연속성 개념에서 학습위계에 따른 수업효과에 관한 연구)

  • Kim, Young-Shin;Chung, Wan-Ho
    • Journal of The Korean Association For Science Education
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    • v.15 no.2
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    • pp.233-240
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    • 1995
  • The purpose of the study is to certify the validity and effectiveness of the learning hierarchy and to define the effective teaching order in life continuity. To achieve this purpose, two experimental groups which were instructed varying the sequence of the instructional units. Teaching order based on the learning hierarchy was given to experimental group and descriptive order of current text was given to control group. The findings of the study are as follows: 1. Learning Hierarchy before learning had differ with order of the textbook, but hierarchy of both group has showed similar to the sequence of textbook, after learning. 2. The effect of learning hierarchy represented no significant different between control and experimental group.

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