• 대한수학회논문집
• /
• 제34권3호
• /
• pp.783-797
• /
• 2019

In this paper, we introduce and investigate a subclass ${\Im}_{\Sigma}({\alpha},{\beta},{\gamma})$ of analytic and bi-univalent functions of complex order in the open unit disk U in complex plane. Here, we obtain an upper bound for the second Hankel determinant of the functions belonging to this class. Moreover, several interesting conclusions of the results obtained here are also discussed.

• 대한치과교정학회지
• /
• 제28권2호
• /
• pp.255-268
• /
• 1998

본 연구에서는 II급 부정교합자의 교합평면의 형태적 특징을 관찰하고, 안면의 수직고경과 연관지어 정상교합군과 비교하여 교합평면의 발현에 영향을 미치는 골격성, 치성요인의 기여정도를 알아보고자 했다. 성장과 연령군의 변이를 배제하기 위해 성장이 완료된 성인만을 연구대상으로 정하였다. 정상교합자 50명과 서울대학교 치과진료부 교정과에 내원한 50명의 Angle class II 환자의 측모 두부방사선 계측사진분석을 통하여 다음의 결과를 얻었다. 1. II급 부정교합자군에서 정상군보다 유의하게 크게 관찰된 교합평면의 경사도는 다음과 같다. ; SN-FOP, FH-BOP, MP-BOP, AB-BOP, AB-FOP, Facial plane-BOP, FP-FOP 2. II급 부정교합자군에서는 정상군에 비해 후안면 고경, 특히 후하안면고경이 유의한 차이를 보였다. 3. 교합평면과 상하악 전치가 이루는 각은 II급 부정교합군에서 통계적으로 유의하게 컸고, 대구치와 이루는 각은 상악 대구치와 해부학적 교합평면이 이루는 각만이 통계적으로 유의한 차이를 나타냈다. 4. 교합평면의 위치를 결정하는 요소중에서 하악절치에서 하악평면에 이르는 거리만이 II급 부정교합군에서 유의하게 컸다. 5. III급 부정교합군에서는 수직피개도와 교합평면 경사도의 상관관계가 존재하지만, 정상 교합군에서는 수직피개도와 교합평면 경사도간에 상관관계가 존재하지 않았다.

• 대한치과교정학회지
• /
• 제10권1호
• /
• pp.95-103
• /
• 1980

The present paper describes 3 clinical cases in which the orthodontic treatment was effected by the Bioprogressive therapy following the extraction of the upper and lower first premolars. What is most noteworthy in the present treatment is the use of a systems approach to diagnosis and treatment by the application of the visual treatment objective in planning treatment, evaluating anchorage and monitoring results, and the rest being performed routinely by the Bioprogressive mechanism. The result achieved by this method is very favorable and the efficiency of the Bioprogressive therapy is quite satisfactory.

• Journal of applied mathematics & informatics
• /
• 제29권5_6호
• /
• pp.1533-1539
• /
• 2011

In this paper, a class of nonlinear bilevel programs, i.e. the lower level problem is linear programs, is considered. Aiming at this special structure, we append the duality gap of the lower level problem to the upper level objective with a penalty and obtain a penalized problem. Using the penalty method, we give an existence theorem of solution and propose an algorithm. Then, a numerical example is given to illustrate the algorithm.

• 대한수학회지
• /
• 제54권2호
• /
• pp.545-561
• /
• 2017

The signature of a surface bundle over a surface is known to be divisible by 4. It is also known that the signature vanishes if the fiber genus ${\leq}2$ or the base genus ${\leq}1$. In this article, we construct new smooth 4-manifolds with signature 4 which are surface bundles over surfaces with small fiber and base genera. From these we derive improved upper bounds for the minimal genus of surfaces representing the second homology classes of a mapping class group.

• 한국마린엔지니어링학회:학술대회논문집
• /
• 한국마린엔지니어링학회 2006년도 전기학술대회논문집
• /
• pp.17-18
• /
• 2006

최근 중동지방의 정세 불안과 원유 자원의 고갈로 인한 대체 지역으로 러시아 시베리아 유전이 각광을 받고 있임. 시베리아 유전 원유 수송이 파이프라인을 통해 발틱 연안에 위치한 프리모스크항 도달하여 해상을 통한 원유 수출이 증가함에 따라 ICE Class 대형 Tanker의 수요가 급격히 증가하고 있는 실정.

• Kyungpook Mathematical Journal
• /
• 제58권2호
• /
• pp.231-242
• /
• 2018

We derive sharp upper bound on the initial coefficients and Hankel determinants for normalized analytic functions belonging to a class, introduced by Silverman, defined in terms of ratio of analytic representations of convex and starlike functions. A conjecture related to the coefficients for functions in this class is posed and verified for the first five coefficients.

• 대한수학회보
• /
• 제49권1호
• /
• pp.33-47
• /
• 2012

In this paper, the log-convexity of another class one-parameter mean is investigated. As applications, some new upper and lower bounds of logarithmic mean, new estimations for identric mean and new inequalities for power-exponential mean and exponential-geometric mean are first given.

• 대한치과교정학회지
• /
• 제15권1호
• /
• pp.85-92
• /
• 1985

This investigation was designed to compare the craniofacial morphology of Class III malocclusions with that of normal occlusions using PM line. The subjects consisted of forty-four normal occlusions (twenty-three males and twenty-one females) and sixty-nine Class III malocclusions (thirty males and thirty-nine females), aged eight through ten. Using the tracings of the standard lateral cephalograms, various angles, linear measurements and linear ratios of counter-part were recorded and analyzed by t-test. The following characteristics of craniofacial morphology of Class III malocclusion were obtained by this study. 1. Maxillary anteroposterior position was balanced with Nasion but was not balanced with mandible because maxillary bony arch was small and positioned posteriorly and mandibular corpus was large and positioned relatively anteriorly. 2. Upper and lover alveolar bony arch were not balanced each other in its size. 3. In counterpart analysis, Class III malocclusion was more horizontally unbalanced than normal occlusion. 4. Class III malocclusion was divided into 11 groups by maxillary and mandibular bony arch position, size and alveolar bony arch size. Unbalanced bony size of the maxilla and mandible was a major characteristics of Class III malocclusion.

• Maxillofacial Plastic and Reconstructive Surgery
• /
• 제38권
• /
• pp.38.1-38.10
• /
• 2016

Background: The aims of this study are to evaluate the lip morphology and change of lip commissure after mandibular setback surgery (MSS) for class III patients and analyze association between the amount of mandibular setback and change of lip morphology. Methods: The samples consisted of 14 class III patients treated with MSS using bilateral sagittal split ramus osteotomy. Lateral cephalogram and cone-beam CT were taken before and about 6 months after MSS. Changes in landmarks and variables were measured with 3D software program $Ondemand^{TM}$. Paired and independent t tests were performed for statistical analysis. Results: Landmarks in the mouth corner (cheilion, Ch) moved backward and downward (p < .005, p < .01). However, cheilion width was not statistically significantly changed. Landmark in labrale superius (Ls) was not altered significantly. Upper lip prominence angle (ChRt-Ls-$ChLt^{\circ}$) became acute. Landmarks in stomion (Stm), labrale inferius (Li) moved backward (p < .005, p < .001). Lower lip prominence angle (ChRt-Li-$ChLt^{\circ}$) became obtuse (p < .001). Height of the upper and lower lips was not altered significantly. Length of the upper lip vermilion was increased (p =< 0.01), and length of the lower lip vermilion was decreased (p < .05). Lip area on frontal view was not statistically significantly changed, but the upper lip area on lateral view was increased and change of the lower lip area decreased (p > .05, p < .005). On lateral view, upper lip prominent point (UP) moved downward and stomion moved backward and upward and the angle of Ls-UP-Stm ($^{\circ}$) was decreased. Lower lip prominent point (LP) moved backward and downward, and the angle of Stm-LP-Li ($^{\circ}$) was increased. Li moved backward. Finally, landmarks in the lower incisor tip (L1) moved backward and upward, but stomion moved downward. After surgery, lower incisor tip (L1) was positioned more superiorly than stomion (p < .05). There were significant associations between horizontal soft tissue and corresponding hard tissue. The posterior movement of L1 was related to statistically significantly about backward and downward movement of cheilion. Conclusions: The lip morphology of patients with dento-skeletal class III malocclusion shows a significant improvement after orthognathic surgery. Three-dimensional lip morphology changes in class III patients after MSS exhibited that cheilion moved backward and downward, upper lip projection angle became acute, lower lip projection angle became obtuse, change of upper lip area on lateral view was increased, change of lower lip area decreased, and morphology of lower lip was protruding. L1 was concerned with the lip tissue change in statistically significant way.