• Title/Summary/Keyword: root-finding

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A case of a rare fused teeth. (희유한 유합치의 일례)

  • Jeong, Tae-Yeong
    • The Journal of the Korean dental association
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    • v.4 no.1
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    • pp.41-43
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    • 1963
  • A rare case of a fused teeth on the side of upper left third molar was observed from a 28 years old Korean male. The characteristics were as follows: 1)The upper third molar fusrd with the suppernumerary tooth .2)The crown part of the fused teeth were separated and the root were fused. 3)On the x-ray finding. the pulp chamber was two , but it had only one pulp canal.

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CUBIC FORMULA AND CUBIC CURVES

  • Woo, Sung Sik
    • Communications of the Korean Mathematical Society
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    • v.28 no.2
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    • pp.209-224
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    • 2013
  • The problem of finding rational or integral points of an elliptic curve basically boils down to solving a cubic equation. We look closely at the cubic formula of Cardano to find a criterion for a cubic polynomial to have a rational or integral roots. Also we show that existence of a rational root of a cubic polynomial implies existence of a solution for certain Diophantine equation. As an application we find some integral solutions of some special type for $y^2=x^3+b$.

A QUADRATICALLY CONVERGENT ITERATIVE METHOD FOR NONLINEAR EQUATIONS

  • Yun, Beong-In;Petkovic, Miodrag S.
    • Journal of the Korean Mathematical Society
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    • v.48 no.3
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    • pp.487-497
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    • 2011
  • In this paper we propose a simple iterative method for finding a root of a nonlinear equation. It is shown that the new method, which does not require any derivatives, has a quadratic convergence order. In addition, one can find that a hybrid method combined with the non-iterative method can further improve the convergence rate. To show the efficiency of the presented method we give some numerical examples.

A NOTE ON THE PAPER ENTITLED SIXTEENTH-ORDER METHOD FOR NONLINEAR EQUATIONS

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.2
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    • pp.359-365
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    • 2012
  • The purpose of this paper is to provide some corrections regarding algebraic flaws encountered in the paper entitled "Sixteenth-order method for nonlinear equations" which was published in January of 2010 by Li et al.[9]. Further detailed comments on their error equation are stated together with convergence analysis as well as high-precision numerical experiments.

Dental microscope in Nonsurgical Endodontics (임상가를 위한 특집 3 - 현미경을 이용한 비외과적 근관치료)

  • Kim, Jin-Woo
    • The Journal of the Korean dental association
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    • v.51 no.10
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    • pp.556-564
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    • 2013
  • Modern endodontics has essentially changed following the introduction of the dental microscope since 1990's. One of main advantage of using dental microscope in nonsurgical endodontic treatment is enhancing clinician's ability and quality of treatment through illumination and magnification. Scopes of dental microscope in nonsurgical endodontics are finding a missed or additional root canal and a tooth crack, management of procedural errors, and others. These improvements in technology will result in greater confidence in treatment and better success in clinical practice.

A root finding algorithm of a polynomial over finite fields (유한체 위에서 다항식의 근에 관한 알고리즘)

  • 김창한
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.7 no.4
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    • pp.73-80
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    • 1997
  • 유한체 위에서 다항식의 근을 구하는 문제는 수학의 오래된 문제중 하나이고 최근들어 암호학과 관련하여 유한체 위서의 다항식 연산과 성질등이 쓰이고 있다. 유한체 위에서 다항식의 최대공약수(greatest common divisor) 를 구하는데 많은 시간이 소요 된다. Rabin의 알고리즘에서 주어진 다항식의 근들의 곱(F(x), $x^{q}$ -x)를 구하는 과정을 c F(p), $f_{c}$ (x)=(F(x), $T_{r}$ (x)-c), de$gf_{c}$ (x)>0인 $f_{c}$(x) s로 대체한 효율적인 알고리즘 제안과 Mathematica를 이용한 프로그램의 실행 결과를 제시한다.

A KANTOROVICH-TYPE CONVERGENCE ANALYSIS FOR THE QUASI-GAUSS-NEWTON METHOD

  • Kim, S.
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.865-878
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    • 1996
  • We consider numerical methods for finding a solution to a nonlinear system of algebraic equations $$ (1) f(x) = 0, $$ where the function $f : R^n \to R^n$ is ain $x \in R^n$. In [10], a quasi-Gauss-Newton method is proposed and shown the computational efficiency over SQRT algorithm by numerical experiments. The convergence rate of the method has not been proved theoretically. In this paper, we show theoretically that the iterate $x_k$ obtained from the quasi-Gauss-Newton method for the problem (1) actually converges to a root by Kantorovich-type convergence analysis. We also show the rate of convergence of the method is superlinear.

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Suggested Shiny-Sigma method suitable for the shop floor (현장에 적합한 샤이니-시그마 기법 제안)

  • Kim, Kang Hee;Ree, Sang Bok
    • Journal of Korean Society for Quality Management
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    • v.45 no.2
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    • pp.227-246
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    • 2017
  • Purpose: This study proposes a Shiny-Sigma Methods that combines the advantages of Six Sigma method and Shainin method in order to solve field defect. Each technique has advantages and disadvantages. Methods: This study proposed Shiny-Sigma by combining Six Sigma has the logical advantage of the problem solving road map and Shiny has the merits of finding the root problem from the defective phenomenon. The Six Sigma method has the disadvantage that it is difficult to solve if the number of data is small, but the Shiny method has the advantage of finding the root cause with a small number of data. Results: As a result of applying Shiny-Sigma method to the field, it has advantages of solving the problem easily and quickly than the existing Six Sigma method. It does not require a lot of statistical knowledge, which helps field workers to use it. Based on these successes L Co. company has obtained the effect of improving the production quality by applying the Shiny-Sigma method. Conclusion: The Shiny-Sigma method proved to be suitable for the production site as a result of field application. It is suitable for field workers with low statistical knowledge and is suitable for field where data is difficult to obtain. This method is not a method to solve all the problems because there are problems that can be solved according to the field problems. We hope that this method will spread to many industrial sites and this method will have a great effect on the improvement of field production quality.

An Efficient Implementation of Kruskal's Algorithm for A Minimum Spanning Tree (최소신장트리를 위한 크루스칼 알고리즘의 효율적인 구현)

  • Lee, Ju-Young
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.7
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    • pp.131-140
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    • 2014
  • In this paper, we present an efficient implementation of Kruskal's algorithm to obtain a minimum spanning tree. The proposed method utilizes the union-find data structure, reducing the depth of the tree of the node set by making the nodes in the path to root be the child node of the root of combined tree. This method can reduce the depth of the tree by shortening the path to the root and lowering the level of the node. This is an efficient method because if the tree's depth reduces, it could shorten the time of finding the root of the tree to which the node belongs. The performance of the proposed method is evaluated through the graphs generated randomly. The results showed that the proposed method outperformed the conventional method in terms of the depth of the tree.

The Panax ginseng Flowering Locus T Shows Age Specific Expression Pattern in Ginseng and Increases Root Length in Transgenic Arabidopsis

  • Mohanan, Padmanaban;Myagmarav, Davajargal;Zhang, Dabing;Kim, Yu-Jin;Yang, Deok-Chun
    • Proceedings of the Plant Resources Society of Korea Conference
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    • 2018.04a
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    • pp.17-17
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    • 2018
  • Panax ginseng Meyer is a perennial medicinal plant, the roots of which has been used in the traditional formulations in Oriental countries. To understand its floral transition, we isolated Flowering Locus T (FT) from ginseng, the bioinformatics analysis of PgFT has revealed a considerable homology to the higher plants, with the essential amino acids for FT function are conserved. The phylogenetic analysis has shown that the PgFT is belonged to the shrub classes of plants and closest kin to Jatropha curcas FT. The expression profiling from juvenile (2-year-old) were abundant in leaves as well as in root and was concentrated in the secondary leaflet and stem bottom in adult (4-year-old) ginseng plant tissues, moreover PgFT transcript displayed photoperiod dependent oscillation. The ectopic expression of PgFT in Arabidopsis thaliana, exhibit precocious flowering and several floral pathway integrators were up-regulated, interestingly their root length was increased in the transgenic seedlings. Therefore, we could conclude that PgFT encodes a florigen that acts as a key regulator in the flowering pathway in ginseng and hypothesize that, it might involve in the underground organ development as well. We believe our finding could provoke future studies on the physiology and development in P. ginseng.

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