• 제목/요약/키워드: prime factors

검색결과 191건 처리시간 0.029초

PRIME FACTORS OF $A^n+1$

  • Shin, Yong-Su
    • Journal of applied mathematics & informatics
    • /
    • 제26권5_6호
    • /
    • pp.1215-1219
    • /
    • 2008
  • We find a necessary and sufficient condition that the prime factors of $A^m+1$ and $A^n+1$ coincide for odd positive integers $n>m{\geq}1$. Moreover, we also find a necessary and sufficient condition that the set of all prime factors of $A^m+1$ is a subset of those of $A^n+1$ for $n>m{\geq}1$.

  • PDF

GIS 기반 확률론적 기법을 이용한 산사태 및 토석류 위험지역 분석 (Analysis of Landslide and Debris flow Hazard Area using Probabilistic Method in GIS-based)

  • 오채연;전계원
    • 한국안전학회지
    • /
    • 제27권6호
    • /
    • pp.172-177
    • /
    • 2012
  • In areas around Deoksan Li and Deokjeon Li, Inje Eup, Inje Gun, located between $38^{\circ}2^{\prime}55^{{\prime}{\prime}}N$ and $38^{\circ}5^{\prime}50^{{\prime}{\prime}}N$ in latitude and $128^{\circ}11^{\prime}20^{{\prime}{\prime}}E$ and $128^{\circ}18^{\prime}20^{{\prime}{\prime}}E$ in longitude, large-sized avalanche disasters occurred due to Typhoon Ewiniar in 2006. As a result, 29 people were dead or missing, along with a total of 37.25 billion won of financial loss(Gangwon Province, 2006). To evaluate such landslide and debris flow risk areas and their vulnerability, this study applied a technique called 'Weight of Evidence' based on GIS. Especially based on the overlay analysis of aerial images before the occurrence of landslides and debris flows in 2005 and after 2006, this study extracted 475 damage-occurrence areas in a shape of point, and established a DB by using such factors as topography, hydrologic, soil and forest physiognomy through GIS. For the prediction diagram of debris flow and landslide risk areas, this study calculated W+ and W-, the weighted values of each factor of Weight Evidence, while overlaying the weighted values of factors. Besides, the diagram showed about 76% in prediction accuracy, and it was also found to have a relatively high correlationship with the areas where such natural disasters actually occurred.

A Comparative Study on Over-The-Tops, Netflix & Amazon Prime Video: Based on the Success Factors of Innovation

  • Song, Minzheong
    • International journal of advanced smart convergence
    • /
    • 제10권1호
    • /
    • pp.62-74
    • /
    • 2021
  • We compare Over-the-Tops (OTTs), Netflix and Amazon Prime Video (APV) with five success factors of innovation. Firstly, Netflix offers better personalized service than APV, because APV has collaborative filtering algorithms to recommend safe bets, not the customers really want. Secondly, APV' user interface is undercooked to lock the members in, even if it has more content and better price offer than Netflix retaining its loyal customers despite the price increase. Thirdly, Netflix has simple subscription model with three tiering, but APV has complicated pricing model having annual and monthly, APV and Prime Video (AV) app, Amazon subscription and extra payment of Amazon Prime Channels (APCs). Fourthly, Amazon has fewer partnership than Netflix especially when it comes to local TV series. Instead, Amazon has live TV channel collaboration including sports content. Lastly, both have strategic and operational agility in their organization well.

전문건설업체 측면에서 전문공종 시공업무 장애 요인에 관한 연구 (A Study on the Obstacle Factors of Construction Works in terms of the Specialty Contractors)

  • 양진국;이기훈;이상범
    • 한국건축시공학회:학술대회논문집
    • /
    • 한국건축시공학회 2021년도 봄 학술논문 발표대회
    • /
    • pp.155-156
    • /
    • 2021
  • Most of the construction works in domestic are not direct undertaking work, but by a contract method including subcontracting. Therefore, a general contractor for each project jointly carry out construction work with a specialty contractor for each engineering type. However, in terms of contract, this method is not a joint venture contract, but a subcontract. Accordingly, this system can cause various problems between the prime contractor and the subcontractor. Therefore, this study aims to extract and present the actual obstacle factors in terms of specialty contract company performing specialty construction work for construction project. The presented contents are expected to present the standard for the cooperation system that the prime contractor and the subcontractor can win-win.

  • PDF

이용자의 레크리에이션 이용만족에 기초한 도시림의 개발지표 설정에 관한 연구 -부산시 금정산을 사례로- (A study on the Developmental Indicators of Urban Forest with Reference to User Recreational Satisfaction -Case study of Mt. Gum-Jung-)

  • 박승범;김승환;남정칠;강영조;양위주
    • 한국조경학회지
    • /
    • 제23권4호
    • /
    • pp.50-60
    • /
    • 1996
  • The purpose of this study is to investigate the prime factors that affect user satisfaction of area and facilities in urban forests, to classify those factors, to find out factorial structure of user satisfaction about them, and then to suggest important indicators in the urban forest planning, design, and development. The survey research was done using the self-administered questionnaire method by the people in the city of the Pusan who participated in recreational activities in the Mt. Keumjung. Factor analysis was used to extract the prime factors related to the recreational satisfaction concerning the area and facilities of the urban forest by the SPSS program, and then prime factors were used to investigate the factorial structure of user recreational satisfaction in the urban forest by the LInear Structure RELation program. According to the factor analysis concerning the 13 variables, 4 prime factors by the statistical values were considered as effective, indicating, 'health and recreational facilities', 'convenience and management facilities','facilities for the physical and psychological training' and 'historical and cultural areas'. The results of the causal structure analysis were identified as having significant effects mutually on endogenous variables, 'overall recreational satisfaction of the areas and facilities in the Mt. Keumjung','health and recreational facilities','convenience and management facilities','facilities for the psychological training', and 'historical and cultural areas'. But exogenous variables which have significant effects on endogenous variables were also indentified. Overall fits of both causal model were very good. The hypothetical causal structural equation models based on the results found partially significant correlation between dndogenous variables and between envogenous and exogenous variables. These significant relationships indiate important factors and variables that should be considered in planning, design, and development of the urban forests. Therefore, development direction of the Mt. Keumjung has to be analyzed as significant factors concerning user recreational satisfaction in a systematic was, recognized as important variables for planning process. The plan for development and management also should reflect the natural conservation policy from the environmental conservation movement like natural conservation advertisement and environmental education.

  • PDF

ON A WARING-GOLDBACH PROBLEM INVOLVING SQUARES, CUBES AND BIQUADRATES

  • Liu, Yuhui
    • 대한수학회보
    • /
    • 제55권6호
    • /
    • pp.1659-1666
    • /
    • 2018
  • Let $P_r$ denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that for every sufficiently large even integer N, the equation $$N=x^2+p_1^2+p_2^3+p_3^3+p_4^4+p_5^4$$ is solvable with x being an almost-prime $P_4$ and the other variables primes. This result constitutes an improvement upon that of $L{\ddot{u}}$ [7].

A PRIME FACTORIZATION ALGORITHM, IN ACTIONSCRIPT

  • Song, Tai-Sung
    • East Asian mathematical journal
    • /
    • 제19권1호
    • /
    • pp.81-89
    • /
    • 2003
  • There are many algorithms for factoring integers. The trial division algorithm is one of the most efficient algorithms for factoring small integers(say less than 10,000,000,000). For a number n to be factored, the runtime of the trial division algorithm depends mainly on the size of a nontrivial factor of n. In this paper, we create a function named factors that can implement the trial division algorithm in ActionScript and using the factors function we construct an interactive Prime Factorization Movie and an interactive GCD Movie.

  • PDF

소수(素數, prime number) 개념에 대한 중학생의 이해 (Middle School Students' Understanding about Prime Number)

  • 조경희;권오남
    • 대한수학교육학회지:학교수학
    • /
    • 제12권3호
    • /
    • pp.371-388
    • /
    • 2010
  • 이 논문의 목적은 소수(素數, prime number) 개념을 처음 배우는 학생들이 소수와 그 관련 개념들을 어떻게 이해하고 있는지를 탐구하기 위한 것이다. 이를 위하여 소수와 합성수 개념을 학습한 직후의 중학교 1학년 학생들에게 설문조사를 중심으로 자료를 수집하고 분석하였다. 연구 결과, 학생들은 주어진 자연수의 소수성을 판정하기 위한 소수의 기능적인 정의를 선호하며, 주어진 자연수의 약수를 찾는 것에만 주목하여 소수와 합성수를 곱셈적 관계로 이해하는데 어려움을 나타내었다. 이러한 결과는 학생들이 자연수의 곱셈적 기본 단위로서 소수 개념의 본질적인 중요성을 인식하고 산술의 기본 정리가 보장하는 자연수의 곱셈적 구조를 이해할 수 있도록 하는 교수학적 전략의 필요성을 제안한다.

  • PDF

The development of new soybean strain with ti and cgy1 recessive allele

  • Choi, Sang Woo;Park, Jun Hyun;Chung, Jong Il
    • Journal of Plant Biotechnology
    • /
    • 제45권4호
    • /
    • pp.328-332
    • /
    • 2018
  • Soybean [Glycine max (L.) Merr.] seed is an important dietary source of protein, oil, carbohydrate, isoflavone and other various nutrients for humans and animals. However, there are anti-nutritional factors in the raw mature soybeans. Kunitz trypsin inhibitor (KTI) protein and stachyose are the main anti-nutritional factors in soybean seed. The ${\alpha}^{\prime}$-subunit of ${\beta}$-conglycinin protein exhibit poor nutritional and food processing properties. The genetic removal of the KTI and ${\alpha}^{\prime}$-subunit proteins will improve the nutritional value of the soybean seed. The objective of this research was to develop a new soybean strain with KTI and ${\alpha}^{\prime}$-subunit protein free ($titicgy_1cgy_1$ genotype) and proper agronomic traits. A breeding population was developed from the cross of the Bl-1 and 15G1 parents. A total of 168 $F_2$ seeds from the cross of the BL-1 and 15G1 parents were obtained. The segregation ratios of 9: 3: 3: 1 ($104Ti\_Cgy_{1\_}:\;30Ti\_cgy_1cgy_1:\;21cgy_1cgy_1Ti\_:\;13titicgy_1cgy_1$) between the Ti and $Cgy_1$ genes in the $F_2$ seeds were observed (${\chi}^2=5.12$, P=0.5-0.10). Two $F_4$ plant strains with proper agronomical traits and $titicgy_1cgy_1$ genotype (free of both KTI and ${\alpha}^{\prime}$-subunit protein) were selected and harvested. 2 strains (S1 and S2) had yellow seed coats and hilum. The plant height of the S1 strain was 65 centimeters. The 100-seed weight was 29.2 g. The plant height of the S2 strain was 66 centimeters and 100-seed weight was 26.2 g. The two strains selected in this research will be used to improve the new cultivar that will be free of the KTI and ${\alpha}^{\prime}$-subunit proteins.

조합논리함수의 TANT회로에 의한 합성 (A Synthesis of Combinational Logic with TANT Networks)

  • 고경식
    • 대한전자공학회논문지
    • /
    • 제5권4호
    • /
    • pp.1-8
    • /
    • 1968
  • TANT회로라함은 진입력만을 NAND게이트만으로 구성되는 3단회로를 말한다. 본논문에서는 임의의 Boole함수에 대한 최소수게이트의 TANT회로를 발견하는 방법을 제시한 것이다. 합성절차의 첫 단계는 Quine-McCluskey의 절차 또는 기타방법에 의하여 essential prime implicants(EPI)를 정하고 채 두년산법을 적용하여 EPI와 동일한 두부를 갖는 prime implicants(PI)를 유도하는 것이다. 두째 단계로 동일한 두부를 갖는 EPI 및 PI를 통합하고 유용한 미부요소를 발생시키는 것이다. 그 다음에 이들 미부요소중에서 공통요소를 선정하는데 이 단계는 C-C표를 이용하는 것과 상통한 점이 있다. 마지막 단계로 용장한 PI를 삭제함으로써 입력수를 줄이는 것이다. 이 방법에 의하면 입력수가 5 및 6의 경우에는 수동적으로 용이하게 해를 얻을 수 있다.

  • PDF