• 제목/요약/키워드: deduction

검색결과 438건 처리시간 0.029초

증명에서 연역 체계 이해에 관한 연구 (A study on understanding the deduction system in the proof)

  • 강정기;노은환
    • 한국수학교육학회지시리즈A:수학교육
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    • 제52권4호
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    • pp.549-565
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    • 2013
  • To help students understand the deduction system in the proof, we analyzed the textbook on mathematics at first. As results, we could find that the textbook' system of deduction is similar with the Euclid' system of deduction. The starting point of deduction is different with each other. But the flow of deduction match with each other. Next, we searched for the example of circular argument and analyzed. As results, we classified the circular argument into two groups. The first is an internal circular argument which is a circular argument occurred in a theorem. The second is an external circular argument which is a circular argument occurred between many theorems. We could know that the flow of deduction system is consistent in internal-external dimension. Lastly, we proposed the desirable teaching direction to help students understand the deduction system in the proof.

ON THE PROPERTIES OF POSITIVE BOOLEAN DEPENDENCIES BY GROUPS IN THE DATABASE MODEL OF BLOCK FORM

  • TRUC, TRINH NGOC;THANG, TRINH DINH;TUYEN, TRAN MINH
    • Journal of applied mathematics & informatics
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    • 제40권3_4호
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    • pp.531-543
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    • 2022
  • The article proposed a new type of data relationship: Positive Boolean dependencies by groups on block and slice in the database model of block form, where instead of considering value pairs, we consider a group of p values (p ≥ 2). From this new concept, the article stated and demonstrated the equivalence of the three types of deduction, namely: deduction by logic, deduction by block with groups, deduction by block has no more than p elements with groups. Operations on blocks or slices performed for index attributes on blocks, the properties related to this new concept as theorem the equivalen of the three types of deduction, closure of set positive Boolean dependencies by groups and representation and tight representation set of positive Boolean dependencies by groups when the block degenerated into relation are true in the relational database model and also stated and proven in this paper.

관광호텔의 임시투자세액공제제도의 개선에 관한 연구 (A Study on Improvement of Temporary Tax Deduction System on Investment Amount for Hotels)

  • 이홍근
    • 한국관광식음료학회지:관광식음료경영연구
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    • 제13권1호
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    • pp.81-110
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    • 2002
  • The temporary tax deduction on investment cutting the corporate income tax within 10% of the amount of investment is aimed at stimulating the investment for economic activity. 25 business sectors are applied to this tax law and in tourism, the accommodation registered by tour promotion law and international convention plan business belong to it. I'd like to mention the problem of the temporary tax deduction on investment amount for hotels and suggest better solutions. This tax law is so temporary applied that we shouldn't get tax deduction after June 30, 2002. So, we can't get income tax deduction on the investment out of the available period. And further more this tax law has a rule not real investment but solely new project investment for hotels. There are numbers of difference between real investment and new project investment. The amount of investment is based on an object of acquisition taxation. And also there are numbers of difference between real investment and an object of acquisition taxation. For example, landscape construction is a great part of hotel construction but it's not an object of acquisition taxation. For running hotel business, we also need lots of equipments such as linens utensils for restaurant and decorations for hotel interior. But these are also excluded from this tax law. As you know, these equipments can be regarded as product equipments in manufacture industry. Therefore we should take the specificity of hotel investment into consideration and expand the role of the temporary income tax deduction on investment amount for hotels.

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A Possible Scientific Inquiry Model based on Hypothetico-Deduction Method Involving Abduction

  • Oh, Jun-Young
    • 한국과학교육학회지
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    • 제32권3호
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    • pp.486-501
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    • 2012
  • The aims of this study are to investigate two main problems for the hypothetico-deduction method and to develop a scientific inquiry model to resolve these problems. The structure of this scientific inquiry model consists of accounts of the context of discovery and justification that the hypothetico-deduction holds as two main problems : 1) the heuristic flaw in the hypothetico-deduction method is that there is no limit to creating hypotheses to explain natural phenomena; 2) Logically, this brings into question affirming the consequent and modus tollens. The features of the model are as follows: first, the generation of hypotheses using an analogical abduction and the selection of hypotheses using consilience and simplicity; second, the expansion phase as resolution for the fallacy of affirming the consequent and the recycle phase as resolution for modus tollens involving auxiliary hypotheses. Finally, we examine the establishment process of Copernicus's Heliocentric Hypothesis and the main role of the history of science for the historical invalidity of this scientific inquiry model based on three examples of If/and/then type of explanation testing suggested by Lawson (International journal of science and Mathematics Education, 2005a, 3(1): 1-5) We claim that this hypotheticho-deduction process involving abduction approach produced favorable in scientific literacy rising for science teacher as well as students.

강섬유 보강 고강도 콘크리트 보의 전단강도 추정식(구조 및 재료 \circled2) (Deduction Equation of Shear Strength of Steel Fiber Reinforced High Strength Concrete Beams)

  • 조선정;박종건;곽계환
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2000년도 학술발표회 발표논문집
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    • pp.253-258
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    • 2000
  • The purpose of this paper is to propose the deduction equation of shear strength of high strength reinforced concrete beams input steel fibrous. To propose the deduction equation of shear strength, we studied high reasonable verification by comparing proposal equation with other researches such as equation of ACI code 318-95 or equation of Zsutty. To propose the deduction equation of shear strength, regression analysis was done using MINITAP program. Finally, it has been tried to make an improvement of brittleness quality of high strength concrete which has been weak points and it is convinced the result by increase of deflection and strain about loads.

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선박(船舶)의 정수중(靜水中) 추진성능(推進性能) 해석(解析) 및 최적선형설계(最適船型設計)에의 응용(應用) (Development of a Method to Analyze Powering Performance of a Ship and its Application to Optimum Hull Form Design)

  • 양승일
    • 대한조선학회지
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    • 제22권2호
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    • pp.35-48
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    • 1985
  • The present work develops a method of evaluating thrust deduction and wake for different loads of the propeller using the concerted application of the theoretical tools and experimental techniques. It also shows the applicability of the new method to the design of optimum hull form. Firstly, the problem of hull-propeller interaction was analyzed in terms of inviscid as well as viscous components of the thrust deduction and wake. The wavemaking resistance of a hull and propeller were mathematically represented by sources on the hull surface and sink on the propeller plane, respectively. The strength of sink was determined by utilizing the radial distributions of propeller load and nominal wake. The resistance increment due to a propeller and the axial perturbation flow induced by the hull in the propeller plane were calculated. Especially, the inviscid component of the thrust deduction was calculated by subtraction the wavemaking resistance of a bare hull, the wavemaking resistance of a free-running propeller and the augmentation of propeller resistance due to hull action from the wavemaking resistance of the hull with a propeller. The viscous components of the thrust deduction and wake were estimated as functions of propeller load which were established by the propeller load varying test after deduction the calculated inviscid components. Secondly, an analysis method of powering performance was developed based on the potential theory and the propeller load varying test. The hybrid method estimates the thrust deduction, wake and propeller open-water efficiency for different propeller load. This method can be utilized in the analysis of powering performance for the propeller load variation such as the added resistance due to hull surface roughness, the added resistance due to wind, etc. Finally, the hybrid method was applied to the optimum design of hull form. A series of afterbody shapes was obtained by systematically varying the waterplane and section shapes of a parent afterbody without changing the principal dimensions, block coefficient and prismatic coefficient. From the comparison of the predicted results such as wavemaking resistance, thrust deduction, wake and delivered power, an optimum hull form was obtained. The delivered power of the optimized hull form was reduced by 5.7% which was confirmed by model tests. Also the predicted delivered power by the hybrid method shows fairly good agreement with the test result. It is therefore considered that the new analysis method of powering performance can be utilized as a practical tool for the design of optimum hull form as for the analysis of powering performance for the propeller load variation in the preliminary design stage.

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원자로냉각재펌프 고장진단을 위한 전문가시스템의 개발 (Development of an Expert System (ESRCP) for Failure Diagnosis of Reactor Coolant Pumps)

  • Cheon, Se-Woo;Chang, Soon-Heung
    • Nuclear Engineering and Technology
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    • 제22권2호
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    • pp.128-138
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    • 1990
  • 본 논문에서는 원자로냉각재펌프 고장진단 전문가시스템 (ESRCP)에 대해 기술하였다. 이 시스템의 목적은 RCP의 고장진단과 함께 발전소 운전원에게 적절한 운전 조작 및 비상조치 사항 등을 알려주는데 있다. 진단을 위한 일차적 증상은 RCP 영역에 관련된 경보들이다. 경보처리는 Rule-based Deduction 또는 Priority Factor Operation에 의한다. 고장진단은 Rule-based Deduction이나 Bayesian Inference에 의해 수행된다. 각종 Sensor들의 측정값들은 정확한 원인을 진단하기 위해 필요로 하다 증상들이 부족하거나 불착실성을 나타낼 때는 Bayesian Inference로 고장을 진단한다.

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일반건설업의 직접시공과 하도급시공의 공사원가 및 수익성 비교분석 (The Analysis about Construction Costs and Profitability of Direction between Subcontracting Construction in General Construction Industry)

  • 황욱선;이현숙
    • 산학경영연구
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    • 제19권1호
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    • pp.25-34
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    • 2006
  • 직접시공이나 하도급시공은 건설산업기본법에 의해 정한 시행령에 따라 시공하는 것이 원칙이나 직접시공이나 하도급시공시 수익성을 비교하여 이익 창출을 극대화하는 방향으로 의사결정이 된다. 이 연구에서는 민간공사 사례를 바탕으로 직접시공과 하도급시공의 공사원가와 수익성을 비교분석하였다. 자료 수집은 S건설에서 2002년과 2003년에 공사한 근린생활 및 단독주택을 토대로 하였다. 공사건수의 사례는 직접시공과 하도급시공 각각 3건의 공사에 의한 평균비율 값에 의하여 비교분석하였다. 이 연구의 사례를 분석한 결과, 공급가액 대비 매출총이익에 대한 수익률은 하도급시공이 직접시공 보다 1.3% 높은 수익률을 올린 것으로 분석되었다. 영업이익에 대한 수익률은 하도급시공이 직접시공보다 2.3% 높은 수익률을 올린 것으로 분석되었다. 마지막으로 하도급시공(영업이익률 11.7%)이 직접시공 공사에 대해 4대 보험료 차감후의 최종 영업 이익률이 4.4% 더 많이 발생한 것으로 분석되었다. 그러므로 건설회사는 하도급을 주는 것이 수익률이 높다는 것을 알 수 있고, 노무자 관리 또한 용이한 것으로 나타났다.

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연역논증과 귀납논증 (Deductive Argument and Inductive Argument)

  • 전재원
    • 철학연구
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    • 제141권
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    • pp.187-202
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    • 2017
  • 본 논문의 목적은 필연성과 개연성을 기준으로 연역논증과 귀납논증을 구별할 때 제기되는 몇 가지 문제점을 구체적으로 살펴보면서 현대논리학에서의 연역-귀납 개념과 아리스토텔레스의 쉴로기스모스-에파고게 개념의 차이를 명료하게 밝히는 것이다. 첫째, 현대논리학에서는 연역논증을 타당한 연역논증과 타당하지 않은 연역논증으로 구별하지만 아리스토텔레스에게는 타당하지 않은 쉴로기스모스라는 표현이 없다. 따라서 아리스토텔레스의 관점에서 보면 타당하지 않은 연역논증을 귀납논증으로 간주해야 하는 문제가 발생하지 않는다. 둘째, 현대논리학에서는 연역논증과 귀납논증 간에 심각한 불균형이 존재하지만 아리스토텔레스의 관점에서 보면 그러한 불균형이 존재하지 않는다. 현대논리학에서 연역논증과 귀납논증 간에 심각한 불균형이 존재하게 되는 이유는 연역논증의 경우에 결론이 잘 수립되는지를 확인하기 위해서 논증의 논리적 형식만 검토하면 되지만 귀납논증의 경우에는 결론이 얼마만큼의 개연성을 가지고 도출되는지를 확인하기 위하여 논증의 형식 이외에 부가적인 정보가 필요하기 때문이다. 그러나 아리스토텔레스에게는 연역논증과 귀납논증의 논리적 형식이 동일하기 때문에 그러한 불균형이 존재하지 않는다. 다만 연역논증은 언어로부터 언어에로(명제로부터 새로운 명제에로) 이동하는 논증인 반면에 귀납논증은 경험적 관찰로부터 언어에로(감각적 지각으로부터 명제에로) 이동하는 논증이라는 차이가 있을 뿐이다. 셋째, 현대논리학에서는 전제(들)이 실제로 참인 명제이든 거짓인 명제이든 참인 명제라고 가정하지만 아리스토텔레스는 그렇게 가정하지 않는다. 쉴로기스모스는 개념적으로 참인 명제로부터 출발하고 에파고게는 경험적으로 참인 명제로부터 출발한다.

학교 현장에서 수학적 추론에 대한 실태 조사 -수학적 추론 유형 중심으로- (Investigation of Present State about Mathematical Reasoning in Secondary School -Focused on Types of Mathematical Reasoning-)

  • 이종희;김선희
    • 한국수학교육학회지시리즈A:수학교육
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    • 제41권3호
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    • pp.273-289
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    • 2002
  • It tends to be emphasized that mathematics is the important discipline to develop students' mathematical reasoning abilities such as deduction, induction, analogy, and visual reasoning. This study is aimed for investigating the present state about mathematical reasoning in secondary school. We survey teachers' opinions and analyze the results. The results are analyzed by frequency analysis including percentile, t-test, and MANOVA. Results are the following: 1. Teachers recognized mathematics as knowledge constructed by deduction, induction, analogy and visual reasoning, and evaluated their reasoning abilities high. 2. Teachers indicated the importances of reasoning in curriculum, the necessities and the representations, but there are significant difference in practices comparing to the former importances. 3. To evaluate mathematical reasoning, teachers stated that they needed items and rubric for assessment of reasoning. And at present, they are lacked. 4. The hindrances in teaching mathematical reasoning are the lack of method for appliance to mathematics instruction, the unpreparedness of proposals for evaluation method, and the lack of whole teachers' recognition for the importance of mathematical reasoning

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