• 제목/요약/키워드: similar triangle

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디니트로티오펜계 분산염료인 C. I. Disperse Green 9의 알칼리 가수분해 반응속도 및 반응메카니즘 (Kinetics and Mechanism for Alkaline Hydrolysis of Dinitrothiophene Disperse Dye(C. I. Disperse Green 9))

  • 박건용;김재현
    • 한국염색가공학회지
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    • 제19권4호
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    • pp.18-25
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    • 2007
  • Kinetics and mechanism for alkaline hydrolysis of C. I. Disperse Green 9(G-9) of dinitrothiophene disperse dye were investigated. As soon as G-9 contacted with alkali, instant and continuous decreases of color strength of G-9 followed with increasing time. The hydrolysis rate of G-9 increased with increasing alkali, and it was found that alkali appeared first order dependence. The observed rate constants obtained from hydrolysis of various amount of dye were similar values, and calculation of initial rates showed that G-9 hydrolyzed by first order reaction for dye. Therefore it was confirmed that the overall reaction was second order, $SN_2$ of nucleophilic substitution reaction. Increasing temperature enhanced the hydrolysis of G-9. From the results of hydrolysis performed at various temperatures, it was obtained that activation energy(Ea) was 12.6 kcal/mole, enthalpy of reaction(${\triangle}H$) was 12.0 kcal/mole, and entropy of reaction(${\triangle}S$) was $29.8J/mol{\cdot}K$.

삼각 부등식을 이용한 온라인 VQ 코드북 생성 방법 (Online VQ Codebook Generation using a Triangle Inequality)

  • 이현진
    • 디지털콘텐츠학회 논문지
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    • 제16권3호
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    • pp.373-379
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    • 2015
  • 본 논문에서는 실시간으로, 문서, 웹 페이지, 블로그, tweet 등 텍스트 정보와 센서, 머신데이터등 IoT의 데이터가 생성되는 상황에서 새로 추가되는 데이터들을 기존에 만들어진 VQ 코드북에 추가시키면서, 기존 VQ 코드북 모델을 실시간으로 갱신하기 위한 온라인 VQ 코드북 생성 방법을 제안한다. 기존에 일괄 작업으로 만들어진 VQ 코드북의 성능을 저하시키지 않으면서, 새로 추가된 데이터를 활용하여 VQ 코드북을 점진적으로 수정하는 방식으로 삼각 부등식을 활용하여 높은 정확도와 속도를 보일 수 있었다. 테스트 데이터에 적용한 결과 일괄 작업과 유사한 성능을 보이면서, 다른 온라인 K-Means 보다 빠른 속도를 보였다.

4구 가스레인지 버너-조종장치 연결에 대한 스테레오타이프 및 효과적 암시 신호 (Stereotype and Effective Cues for Burner-Control Relationship of Four-Stove Range)

  • 기도형
    • 대한산업공학회지
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    • 제37권2호
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    • pp.118-123
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    • 2011
  • This study aims to investigate stereotype and effective cue presentation methods for burner-control relationship of four-stove range for Korean. A total of 381 subjects(male : 262, female : 119) were surveyed using questionnaire, in which eight gas range models drawn by 3-D Max 2010 were presented. The gas range models were labeled by signs(☆#${\triangle}{\square}$) to eliminate suggestive effect of sequential codes such as alphabets and numbers. The results showed that the stereotype was significantly affected by occupation(p < 0.10), but not by subjects' gender and age(p > 0.39). The stereotype of four-burner gas range for Korean was the same as that of Chinese, while the stereotype was different from that of American. The cues with rectangular-shaped arrangements identical or similar to those of burners were effective to relate burners to corresponding controls. The diamond-shaped cues and burner arrangements were not appropriate for representing burner-control relationship of four-stove gas range. These findings would be used as a basic guideline when designing four-burner gas range or similar equipments.

자체 감지능 및 작동기용 다기능 하이브리드 나노복합재료의 계면 특성 및 소수성 표면 연구 (Interfacial Evaluation and Hydrophobicity of Multifunctional Hybrid Nanocomposites for Self-sensing and Actuation)

  • 왕작가;공조엘;장정훈;김명수;박종만
    • Composites Research
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    • 제23권2호
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    • pp.24-30
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    • 2010
  • 니켈-나노분말/에폭시 복합재료의 계면 특성과 소수성을 자체-감지능과 작동기 측정을 위해 평가하였다. 경사형 시편을 사용하여 접촉 저항 및 저항도를 측정하였다. 자기장에서 복합재료의 작동성을 세가지 파형들, 즉, 싸인, 삼각, 그리고 사각파를 사용하여 평가하였다. 균일하지 않은 표면에 존재하는 소수성 영역 때문에 Ni-에폭시 나노복합재료의 어떤 부분은 초소수성보다는 다소 낮은 접촉각인 110도를 가졌다. 동적 접촉각은 정적 접촉각과 경향이 상호 일치함을 보였다. 니켈-나노분말의 고유의 금속성질 때문에 자체 감지를 확인하였으며, 또한 전자기장에 작동 반응을 잘 하였다. 니켈-나노분말/에폭시 복합재료의 최대 및 최적의 성능을 얻기 위해서, 레이져 변위 센서를 사용하여, 파형, 주파수, 그리고 전압의 함수로 작동기의 변위를 평가하였다. 니켈-나노분말/에폭시 복합재료의 작동은 적용된 주파수와 전압의 함수로써 증가하였다. 작동된 복합재료들의 연신율은 전압의 증가에 따라 삼각 혹은 사각파보다 싸인파에서 더욱 빨리 증가하였다.

Using ChatGPT as a proof assistant in a mathematics pathways course

  • Hyejin Park;Eric D. Manley
    • 한국수학교육학회지시리즈A:수학교육
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    • 제63권2호
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    • pp.139-163
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    • 2024
  • The purpose of this study is to examine the capabilities of ChatGPT as a tool for supporting students in generating mathematical arguments that can be considered proofs. To examine this, we engaged students enrolled in a mathematics pathways course in evaluating and revising their original arguments using ChatGPT feedback. Students attempted to find and prove a method for the area of a triangle given its side lengths. Instead of directly asking students to prove a formula, we asked them to explore a method to find the area of a triangle given the lengths of its sides and justify why their methods work. Students completed these ChatGPT-embedded proving activities as class homework. To investigate the capabilities of ChatGPT as a proof tutor, we used these student homework responses as data for this study. We analyzed and compared original and revised arguments students constructed with and without ChatGPT assistance. We also analyzed student-written responses about their perspectives on mathematical proof and proving and their thoughts on using ChatGPT as a proof assistant. Our analysis shows that our participants' approaches to constructing, evaluating, and revising their arguments aligned with their perspectives on proof and proving. They saw ChatGPT's evaluations of their arguments as similar to how they usually evaluate arguments of themselves and others. Mostly, they agreed with ChatGPT's suggestions to make their original arguments more proof-like. They, therefore, revised their original arguments following ChatGPT's suggestions, focusing on improving clarity, providing additional justifications, and showing the generality of their arguments. Further investigation is needed to explore how ChatGPT can be effectively used as a tool in teaching and learning mathematical proof and proof-writing.

Conventional Female Donor Costume of Cave 79 of Kumtura

  • Shenya, Shenyan
    • The International Journal of Costume Culture
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    • 제12권2호
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    • pp.210-214
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    • 2009
  • Cave 79 of Kumtura grottoes, is the best preserved cave, which has an important meaning for research on Uighur costume. This paper is intended to analyze the costume characteristics of female donors in Cave 79 by comparing image materials between Dunhuang murals and other murals in Xinjiang province. In Cave 79, female donor wears red robe with tight sleeve, whose collar is crescent-shaped decorated. Two different opinions are upheld for this decoration. One regards this as the turn-down collar, while the other believes this as decoration on V-neckline. Red robe is quite common in female donors of Xinjiang and Dunhuang murals and a female in fresco is wearing a crown in a triangle red headwear style, regarded as red silk and drooping at head. Female donors wear an extra coat, kame hair clasp, red jacket, light-colored high-waist skirt with a long-tail waistband, and tangerine Pibo (silk ribbon) with scattered small flowers. All these costume styles are commonly-used by Han females. The kame headwear is also the common ornament for Han females and the female's hairstyle is in cone shape on head by a white kame. Current costumes are similar but not completely same.

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초저온 산업용 액중펌프 임펠러 설계에 관한 연구 (A Study on the Impeller Design of a Submerged Cryogenic Pump)

  • 권병수;이치우;이중섭
    • 한국기계가공학회지
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    • 제15권6호
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    • pp.136-141
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    • 2016
  • The purpose of this study is to examine the basic design of a submerged cryogenic pump, which is a two stage impeller pump. We limited this study to the impeller design of the submerged pump. We calculated its velocity triangle based on the impeller blade configuration and, in order to check its natural frequency, we carried out a modal test using a finite element method (FEM) analysis. Basically, modal test results had quite similar to FEM analysis.

ON DOMINATION NUMBERS OF GRAPH BUNDLES

  • Zmazek Blaz;Zerovnik Janez
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.39-48
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    • 2006
  • Let ${\gamma}$(G) be the domination number of a graph G. It is shown that for any $k {\ge} 0$ there exists a Cartesian graph bundle $B{\Box}_{\varphi}F$ such that ${\gamma}(B{\Box}_{\varphi}F) ={\gamma}(B){\gamma}(F)-2k$. The domination numbers of Cartesian bundles of two cycles are determined exactly when the fibre graph is a triangle or a square. A statement similar to Vizing's conjecture on strong graph bundles is shown not to be true by proving the inequality ${\gamma}(B{\bigotimes}_{\varphi}F){\le}{\gamma}(B){\gamma}(F)$ for strong graph bundles. Examples of graphs Band F with ${\gamma}(B{\bigotimes}_{\varphi}F) < {\gamma}(B){\gamma}(F)$ are given.

Single-Chamber 페이스메이커 테스터의 개발에 관한 연구 (A Study on the Development of a Single-Chamber Cardiac Pacemaker Tester)

  • 강병윤;신재우;윤영로
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1998년도 추계학술대회
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    • pp.119-120
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    • 1998
  • In this study, the design of the single-chamber pacemaker tester is presented. It is important to test the functions of the pacemaker before it is implanted into the patient. A pacemaker tester, that is presented in this study, is able to examine pacemaker parameters such as sensing threshold and refractory period. We need to make artificial intracardiac electrogram in order to test the pacemaker parameters. We know from the previous practical examples that a triangle pulse is similar to the physiologic intracardiac electrogram. The tester generates the simplified electrograms and PC software examines the output pulses of the pacemaker which is VVIR mode in closed-loop simulation.

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