• Title/Summary/Keyword: maximal principle

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Obtaining Maximal Stability with a Septal Extension Technique in East Asian Rhinoplasty

  • Jeong, Jae Yong
    • Archives of Plastic Surgery
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    • v.41 no.1
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    • pp.19-28
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    • 2014
  • Recently, in Korea, the septal extension graft from the septum or rib has become a common method of correcting a small or short nose. The success rate of this method has led to the blind faith that it provides superior tip projection and definition, and to the failure to notice its weaknesses. Even if there is a sufficient amount of cartilage, improper separation or fixation might waste the cartilage, resulting in an inefficient operation. Appropriate resection and effective fixation are essential factors for economical rhinoplasty. The septal extension graft is a remarkable procedure since it can control the nasal tip bidirectionally and three dimensionally. Nevertheless, it has a serious drawback since resection is responsible for septal weakness. Safe resection and firm reconstruction of the framework should be carried out. Operating on the basis of the principle of "safe harvest" and rebuilding the structures is important. Further, it is important to learn several techniques to manage septal weakness, insufficient cartilage quantity, and failure of the rigid frame during the surgery.

ELEMENTS OF THE KKM THEORY FOR GENERALIZED CONVEX SPACE

  • Park, Se-Hei
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.1-28
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    • 2000
  • In the present paper, we introduce fundamental results in the KKM theory for G-convex spaces which are equivalent to the Brouwer theorem, the Sperner lemma, and the KKM theorem. Those results are all abstract versions of known corresponding ones for convex subsets of topological vector spaces. Some earlier applications of those results are indicated. Finally, We give a new proof of the Himmelberg fixed point theorem and G-convex space versions of the von Neumann type minimax theorem and the Nash equilibrium theorem as typical examples of applications of our theory.

A BIO-ECONOMIC MODEL OF TWO-PREY ONE-PREDATOR SYSTEM

  • Kar, T.K.;Chattopadhyay, S.K.;Pati, Chandan Kr.
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1411-1427
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    • 2009
  • We propose a model based on Lotka-Volterra dynamics with two competing spices which are affected not only by harvesting but also by the presence of a predator, the third species. Hyperbolic and linear response functions are considered. We derive the conditions for global stability of the system using Lyapunov function. The optimal harvest policy is studied and the solution is derived in the interior equilibrium case using Pontryagin's maximal principle. Finally, some numerical examples are discussed. The nature of variations in the two prey species and one predator species is studied extensively through graphical illustrations.

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The Anthelmintic Principle of "O-Mae", the Roasted Fruits of Prunus mume, Against Clonorchis sinensis (오매의 간디스토마 살충성 물질에 관한 연구)

  • 곽영실;류성호;백병걸;이재구;안병준
    • YAKHAK HOEJI
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    • v.29 no.1
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    • pp.32-38
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    • 1985
  • The anthelmintic substance of the roasted fruits of Prunas mume against Clonorchis sinensis was isolated and its structure was identified by chemical and physical methods. The results obtained from the experiments are as follows: 1) The methanol extract of the roasted fruits of P. mume was fractionated into four parts: petroleum ether, ethyl ether, ethyl acetate and water soluble part. Among these, etherial fraction was found to have strong wormicidal effect on liberated metacercaria of Clonorchis sinensis. 2) From the etherial fraction, the wormicidal substance was isolated by silica gel, polyamide and sephadex column chromatography and identified to be 5-hydroxymethylfurfural (5-HMF) by chemical and spectral data. 3) 5-HMF was synthesized and administered to the rabbits infected with C. sinensis. On the 2nd day after administration, the EPG (eggs per gram in feces) reached to the maximal value. Among the adult worms isolated from the bile duct of the treated animal, 84% of worms were damaged morphologically. 4) The content of 5-HMF in the fruits of P. mume which were roasted in an oven at $90-110^{\circ}C$ for 52 hours and that in the fresh fruits was evaluated by HPLC. The content of 5-HMF was 0.8% in the roasted fruits and 0.02% in the fresh ones.

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Variation of Cannonical Sentence Structure in Korean & Japanese Dialects & its Implication

  • Khym, Han-gyoo
    • International Journal of Internet, Broadcasting and Communication
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    • v.7 no.2
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    • pp.142-148
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    • 2015
  • The main purpose of this squib is to provide a new principled account for variation of canonical sentence structure in Korean and Japanese based on the linguistic data commonly observed in some dialects of Korean and Japanese. Unlike the English case in which Comp(lementizer) such as 'that' in an embedded clause freely drops as far as the ECP (Lasnik & Saito 1992) is obeyed, some dialects of both Korean and Japanese show interesting linguistic data very different from those of English, thereby leading us to reasonably doubt the traditionally-accepted paradigm of the canonical sentence structure of CP for all languages. In this squib I propose, based on Korean & Japanese dialects and by developing the Minimal Structure Principle (MSP) ($Bo{\check{s}}kovi{\acute{c}}$ 1997, p. 25), that the cannonical structure of a sentence is not fixed, from the beginning at all, to be one single maximal category, CP. Instead, it should be decided to be either CP or IP, based on the feature of [${\pm}$markedness] and MSP, and the marked (or non-cannonical) embedded sentence needs to satisfy ECP for adjacency (or feature-licensing by the matrix verb in the MP terminology).

THE MAXIMAL VALUE OF POLYNOMIALS WITH RESTRICTED COEFFICIENTS

  • Dubicks, Arturas;Jankauskas, Jonas
    • Journal of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.41-49
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    • 2009
  • Let $\zeta$ be a fixed complex number. In this paper, we study the quantity $S(\zeta,\;n):=mas_{f{\in}{\Lambda}_n}\;|f(\zeta)|$, where ${\Lambda}_n$ is the set of all real polynomials of degree at most n-1 with coefficients in the interval [0, 1]. We first show how, in principle, for any given ${\zeta}\;{\in}\;{\mathbb{C}}$ and $n\;{\in}\;{\mathbb{N}}$, the quantity S($\zeta$, n) can be calculated. Then we compute the limit $lim_{n{\rightarrow}{\infty}}\;S(\zeta,\;n)/n$ for every ${\zeta}\;{\in}\;{\mathbb{C}}$ of modulus 1. It is equal to 1/$\pi$ if $\zeta$ is not a root of unity. If $\zeta\;=\;\exp(2{\pi}ik/d)$, where $d\;{\in}\;{\mathbb{N}}$ and k $\in$ [1, d-1] is an integer satisfying gcd(k, d) = 1, then the answer depends on the parity of d. More precisely, the limit is 1, 1/(d sin($\pi$/d)) and 1/(2d sin($\pi$/2d)) for d = 1, d even and d > 1 odd, respectively.

Analysis on Emotional visual image in Lion King : Focusing on the relationship with Graves theory (<라이온 킹>에 나타난 정서표현의 시각이미지 분석 : 그레이브스 명암이론과의 관계를 중심으로)

  • Kim, Kwang-Hwan
    • Cartoon and Animation Studies
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    • s.15
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    • pp.73-88
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    • 2009
  • Light is a basic force that functions in all the formative arts. Light (brightness) is an important subject of study in that it contains the force to control emotion and has much influence upon the shaping of a visual image and a feeling. If an artist systematizes the characteristics of brightness and creates an image, he or she can acquire a useful tool of expression. Because light is a powerful medium of expression of a visual image, a study on the characteristics of brightness for the emotional expression of an image in the contextual relationship with narratives seemingly has a crucial meaning. Emotion is influenced by a visual image very much, and a visual image is inevitably influenced by light. The brightness by light is basically classified into bright, dim, and dark. And the three basic stages of brightness specialize an image according to the setting of scope of maximal and minimal luminosity, and the image is further differentiated by the size of bright portion or dark portion. Since emotion is such a phenomenon as immaterial and psychological, it is difficult to break down it. Furthermore, clarifying the principle of an image in which the shade of light is associated is impossible. However, the width of luminosity and the change of size can give quite a change to a visual image, and the visual image has further influence upon man's emotion too. Although the influence of brightness upon a visual image varies with extents, circumstances, and personal tastes and interests, even the same image clearly changes with the adjustment of brightness.

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The Treatment Result of Antituberculous Chemotherapy Followed by Surgical Excisions in Tuberculous Cervical Lymphadenitis (경부 결핵성 림프절염에서 외과적 절제수술후 항결핵제 요법시의 치료 성적)

  • Park Dong-Enn;Kim Sang-Hyo
    • Korean Journal of Head & Neck Oncology
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    • v.18 no.2
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    • pp.192-196
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    • 2002
  • Objectives: Tuberculous cervical lymphadenitis is a frequently recurring disease when treated with chemotherapy alone without enough surgical removal of the tuberculous lesions. Authors reviewed retrospectively the treatment result of antituberculous chemotherapy following almost complete surgical removal of tuberculous foci in the neck. Materials and Methods: A retrospective clinical review and analysis was made in 127 cases of tuberculous cervical lymphadenitis patients treated during the past 10 years from 1989 to 1998 at the Department of General Surgery, Inje University Paik Hospital, Pusan. Results: 1) The peak age incidence was the 2nd decade(37.8%), and female was predominated over male by 2.3:1. 2) The time interval from the onset of symptoms to the first visit was less than 3 months in 60.6% of the patient. 3) The location of lymphadenitis was the right neck in 60%, the left neck 34%, and bilateral in 6% of the patient. 4) Signs on the first visit showed solitary masses(60%), abscess(25%) and both mixed(15%). 5) 25 patients(19%) had present or past history of tuberculosis; pulmonary tuberculosis 12 patients, tuberculous lymphadenitis 10 patients, and others 3 patients. 6) Locations of tuberculous lymphadenitis were posterior cervical triangle 70, supraclavicular 51, submandibular 19, anterior triangle 16 and others 4 cases. 7) The principle of treatment of cervical lymphadenitis was surgical management followed by chemotherapy. Surgical procedures were excision(s), curettage and drainage of abscess, combination of both, and biopsy in 60%, 22%, 12% and 6% respectively. Mean duration of antituberculous medication was 9 months after surgery. 8) The rate of recurrent and persistent tuberculous lymphadenitis was 9% in 4 years follow up. Conclusion: Tuberculous cervical lymphadenitis is a frequently recurring disease in young adult when only antituberculous chemotherapy was employed without almost complete removal of the lesions. It is considered that antituberculous medications for 6-9 months after removing the foci at a maximal extent by surgical excision and curettage will reduce the recurrence rate or persistence of tuberculous lymphadenitis.

A Protein Sequence Prediction Method by Mining Sequence Data (서열 데이타마이닝을 통한 단백질 서열 예측기법)

  • Cho, Sun-I;Lee, Do-Heon;Cho, Kwang-Hwi;Won, Yong-Gwan;Kim, Byoung-Ki
    • The KIPS Transactions:PartD
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    • v.10D no.2
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    • pp.261-266
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    • 2003
  • A protein, which is a linear polymer of amino acids, is one of the most important bio-molecules composing biological structures and regulating bio-chemical reactions. Since the characteristics and functions of proteins are determined by their amino acid sequences in principle, protein sequence determination is the starting point of protein function study. This paper proposes a protein sequence prediction method based on data mining techniques, which can overcome the limitation of previous bio-chemical sequencing methods. After applying multiple proteases to acquire overlapped protein fragments, we can identify candidate fragment sequences by comparing fragment mass values with peptide databases. We propose a method to construct multi-partite graph and search maximal paths to determine the protein sequence by assembling proper candidate sequences. In addition, experimental results based on the SWISS-PROT database showing the validity of the proposed method is presented.

Algorithm for Minimum Degree Inter-vertex Edge Selection of Maximum Matching Problem (최대 매칭 문제의 최소차수 정점 간 간선 선택 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.22 no.5
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    • pp.1-6
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    • 2022
  • This paper deals with the maximum cardinality matching(MCM) problem. The augmenting path technique is well known in MCM. MCM is obtained by $O({\sqrt{n}}m)$ time complexity augmenting path algorithm for the general graph, and O(m log n) algorithm for the bipartite graph. On the other hand, this paper suggests O(n) linear time algorithm. The proposed algorithm based on the basic principle of as possible as largest selected inter-vertex edges in order to obtain the MCM. This paper simply selects edge {u,𝜐} that the minimum degree vertex u and minimum degree vertex 𝜐 in NG(u) 𝜈(G)=k times iteration. For various general and bipartite graphs experimental data, this algorithm can be get the 𝜈(G) exactly.