• 제목/요약/키워드: derivative

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A STUDY OF THE RIGHT LOCAL GENERAL TRUNCATED M-FRACTIONAL DERIVATIVE

  • Chauhan, Rajendrakumar B.;Chudasama, Meera H.
    • 대한수학회논문집
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    • 제37권2호
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    • pp.503-520
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    • 2022
  • We introduce a new type of fractional derivative, which we call as the right local general truncated M-fractional derivative for α-differentiable functions that generalizes the fractional derivative type introduced by Anastassiou. This newly defined operator generalizes the standard properties and results of the integer order calculus viz. the Rolle's theorem, the mean value theorem and its extension, inverse property, the fundamental theorem of calculus and the theorem of integration by parts. Then we represent a relation of the newly defined fractional derivative with known fractional derivative and in context with this derivative a physical problem, Kirchoff's voltage law, is generalized. Also, the importance of this newly defined operator with respect to the flexibility in the parametric values is described via the comparison of the solutions in the graphs using MATLAB software.

ON THE SHAPE DERIVATIVE IN THE DOMAIN INCLUSION

  • Kim, Hongchul
    • Korean Journal of Mathematics
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    • 제10권1호
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    • pp.75-87
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    • 2002
  • The shape derivative for the domain functional will be discussed in the situation of domain inclusion. Hadamard's shape structure is sought by using the material derivative in conjunction with the domain imbedding technique.

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미적분학 강사와 학생의 미분에 관한 담화 (Calculus Instructors and Students' Discourseson the Derivative)

  • 박정은
    • 대한수학교육학회지:수학교육학연구
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    • 제21권1호
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    • pp.33-55
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    • 2011
  • 미적분학 강사와 학생의 미분에 관한 담화의 특징을 인식에 관한 의사소통적 접근을 통해 조사하였다. 이 연구의 자료는 설문, 수업 관찰, 그리고 인터뷰를 통해 수집되었다. 연구의 결과는 강사들이 도함수와 미분계수의 관계, 함수로써 의 도함수 등 미분의 성질들을 명백히 서술함 없이 사용한다는 것과 학생들의 문제 풀이에 있어 이런 성질들을 부정확하게 서술하고 사용한다는 것을 보여준다. 미분에 관한 교사들의 암묵적인 담화와 학생들의 부정확한 설명은 그들이 용어, "미분"을 "미분계수" 혹은 "도함수"로 구분하지 않고 사용한다는 사실과 밀접한 관련이 있는 것으로 밝혀졌다. 강사와 학생의 담화 비교는 분명한 용어 사용을 포함한 미분의 수학적인 성질에 대한 명백히 설명이 학생들이 도함수의 한 값으로의 미분계수를 이해하는 것과 접선과 같은 도함수의 부정확한 개념을 극복하는 데 도움을 줄 수 있음을 암시한다.

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GENERALIZATION OF SOME INEQUALITIES TO THE CLASS OF GENERALIZED DERIVATIVE

  • Wani, Irfan Ahmad;Mir, Mohammad Ibrahim;Nazir, Ishfaq
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권4호
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    • pp.343-353
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    • 2021
  • In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials.

미분 데이터로부터 곡면 형성 (The construction of a surface from derivative data)

  • 김회섭
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제10권1호
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    • pp.21-29
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    • 2006
  • 점 데이터로부터 곡선이나 곡면을 형성하는 방법은 널리 알려져 있다. 하지만 미분데이터가 주어지는 경우는 공학적으로 많지 않기 때문에 미분 데이터로부터 곡면을 형성하는 방법은 잘 사용되고 있지 않다. 여기서는 점 데이터, 1차 미분 데이터, 2차 미분 데이터 등 세 개중에 한 개 이상이 주어지면 곡면을 형성 할 수 있다. 1차 미분 데이터만 주어진 경우는 한 점에서 함수 값을 더한다. 2차 미분 데이터가 주어진 경우는 1차 함수를 추가하면 된다.

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The Robust Derivative Code for Object Recognition

  • Wang, Hainan;Zhang, Baochang;Zheng, Hong;Cao, Yao;Guo, Zhenhua;Qian, Chengshan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권1호
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    • pp.272-287
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    • 2017
  • This paper proposes new methods, named Derivative Code (DerivativeCode) and Derivative Code Pattern (DCP), for object recognition. The discriminative derivative code is used to capture the local relationship in the input image by concatenating binary results of the mathematical derivative value. Gabor based DerivativeCode is directly used to solve the palmprint recognition problem, which achieves a much better performance than the state-of-art results on the PolyU palmprint database. A new local pattern method, named Derivative Code Pattern (DCP), is further introduced to calculate the local pattern feature based on Dervativecode for object recognition. Similar to local binary pattern (LBP), DCP can be further combined with Gabor features and modeled by spatial histogram. To evaluate the performance of DCP and Gabor-DCP, we test them on the FERET and PolyU infrared face databases, and experimental results show that the proposed method achieves a better result than LBP and some state-of-the-arts.

인진청간탕가미방(茵蔯淸肝湯加味方)이 간세포(肝細胞)의 증식능력(增殖能力)에 미치는 영향(影響) (The Effect of Injinchunggantang-derivative on Proliferation of Hepatocyte)

  • 박용진;김영철;이장훈;우홍정
    • 대한한의학회지
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    • 제19권1호
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    • pp.145-164
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    • 1998
  • The purpose of this study is to evaluate the effect of Injinchunggantang-derivative on proliferation of hepatocyte in rats. Cell viability is studied by MTI assay. The gene related to cell replication such as p53, waf1, bcl-2 and $bcl-_{X_L}$ is quantitized by quantitative RT-PCR and the proteins coded by these genes are studied by Western blotting. The results are as follows. 1. The hepatocytes cultured in medium with lnjinchunggantang-derivative showed better viability compared with control grroup in MTI assay, and the hepatocytes cultured in medium with the Injinchunggantang-derivative-and-ethanol-mixed group showed better viability than the hepatocytes cultrued in 10% ethanol culture medium(control group), noting that Injinchunggantang-derivative has protective effect on hepatocyte injury. There was no dose- and time-dependence. 2. In quantitative RT-PCR, i) Bel-2 gene increased significantly both in Injinchunggantang-derivative group and in Injinchunggantang-derivative-and-ethanol-mixed group, while it showed no significant increase or decrease in other group. ii) $Bcl-_{X_L}$ gene increased significantly in Injinchunggantang-derivative group as well as in Injinchunggantang-deri vative-and-ethanol -mixed group. iii) P53 gene showed no significant increase or decrease in hepatocytes cultured in medium with 10% ethanol and in hepatocytes cultured in medium with Injinchunggantang-derivative-and-ethanol-mixed group, suggesting that 10% ethanol induced cell toxicity, thus increased p53 gene expression. iv) Wafl gene showed no significant increase or decrease in hepatocytes cutured in medium with Injinchtrnggantang-derivative, while increased in hepatocytes cultured in medium with 10% ethanol and in hepatocytes cultured in medium with Injinchtrnggantang-derivative-andethanol-mixed group, suggesting that 10% ethanol induced cell toxicity increased wafl gene expression. 3. In the study on protein by western blotting, the band of bcl-2 and $bcl-_{X_L}$ were widened in Injinchtrnggantang-derivative group. Especially the amount of $bcl-_{X_L}$ increased significantly compared with other groups. But in the study on p53 and wafl, there was no significant difference among those groups. Above study shows that Injinchunggantang-derivative has good effect on cell viability and that the genes resistant to cell death such as bcl-2 and $bcl-_{X_L}$ are induced by Injinchunggantang-derivative to resist to cell death by toxic agent And this is reconfirmed in protein study using' western blotting: These results suggest that Injinchunggantang-derivative has inhibitory effect on cell death as well as protective effect on hepatocyte. Therefore this prescription is recommended in various liver diseases such as chronic liver disease and-induced hepatic injury.

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학생들의 미분에 대한 이해에 관한 문헌 연구 (Students' Understanding of the Derivative - Literature Review of English and Korean Publications -)

  • 박정은
    • 한국학교수학회논문집
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    • 제15권2호
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    • pp.331-348
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    • 2012
  • 최근 미적분학에 관한 수학 교육연구가 점차 많아지고 있다. 많은 미적분 개념 중 미분은 학생들이 이해하기 어려운 개념으로 알려져 있다. 본 논문은 영어나 한국어로 출판된 연구들중 학생의 미분에 대한 이해를 다룬 연구들의 결과를 요약, 정리 하고 있다. 연구들은 학생들의 미분에 관한 이해는 학생들이 어떻게 미분에 관련된 다른 개념들, 즉 극한, 함수, 변화율, 접선, 그리고 여러 가지 미분을 표현하는 방법을 이해하는 가와 관련이 있음을 보여주고 있다. 또한 최근 연구들은 학생이 어떠한 환경에서 미분을 학습하였는지가 학생의 미분에 관한 이해와 밀접한 관련이 있음도 보여 주고 있다. 예를 들면, 미분의 개념은 다른 전공에서 다르게 이용 된다. 현존하는 연구에서 다루어지지 않은 주제로 미분계수와 도함수가 다른 언어에서 어떻게 다르게 표현하는 지와 학생들이 가지고 있는 미분의 개념의 연계성을 들 수 있으며, 이 주제에 관한 후행 연구는 이런 언어 차이와 학생들이 함수로서의 미분을 어떻게 이해하는 지에 관한 우리의 이해를 증진 시킬 수 있을 것이다.

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인진청간탕가미방(茵陳淸肝湯加味方)이 간세포활성(肝細胞活性), 세포주기(細胞週期) 및 APOPTOSIS에 미치는 영향(影響) (The Effects of Injinchunggantang-derivative on Cell Viability, Cell Cycle Progression and Apoptosis of Hepatocytes)

  • 홍상훈;이장훈;우홍정
    • 대한한의학회지
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    • 제19권2호
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    • pp.337-372
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    • 1998
  • To evaluate the effects of Injinchunggantang-derivative on cell viability, cell cycle progression, and apoptosis, MTT assay, cell cycle analysis, Cpp32 protease assay, DNA fragnemtation assay, quantitative RT-PCR, and Western blotting were performed. The results were as followes. In MTT assay, etoposide+Injinchunggantang-derivative-treated cells as well as Injinchunggantang-derivative-treated cells showed higher viability than etoposide-treated cells with no time-concentration-dependence, which implied that Injinchunggantang-derivative has hepato-protective effect Cell cycle analysis showed that Injinchunggantang-derivative has no significant effect on the cell cycle. Cpp32 protease assav and DNA fragmentation assay Injinchunggantang-derivative carry inhibitory effects on apoptosis induction. It was suggested that Injinchunggantang-delivative might regulate the cell cycle, in particular $G_1$ checkpoint by blocking p53 and Watl pathway. Injinchunggantang-derivative inhibited the mRNA expressions of Cpp32, Fas, and Bcl-2, which could result in inhibition of apoptosis. These results imply that Injinchunggantang-derivative increases hepatocyte viability, and protects hepatocyte from damage by regulating the expression of genes associated with cell cycle and apoptosis, which explains the mechanism of the clinical effect of Injinchunggantang-derivative on liver diseases.

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