• 대한수학회보
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• 제59권6호
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• pp.1595-1603
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• 2022

We show how some of well-known recurrent operators such as recurrent curvature operator, recurrent Ricci operator, recurrent Jacobi operator, recurrent shape and Weyl operators have the significant role for biharmonic hypersurfaces to be minimal in the Euclidean space.

• 척추신경추나의학회지
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• 제4권1호
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• pp.53-63
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• 2009

Objectives : The purpose of this study was to investigate the relation between neck pain and physical factors in female office workers. Methods : Neck pain group of 31 female subjects complained of neck and arm discomfort. Normal group of 20 female subjects had no complaints or minimal discomfort. Cervical curvature and muscle tone were assessed by whole spine x-ray, meridian-electromyography(MEMG), craniovertebral angle. Neck pain was evaluated by Neck Disability Index(NDI) and Visual Analog Scale(VAS). Results : The NDI score and contraction power of upper trapezius by MEMG had a relationship significantly. However, there was no relationship between NDI and cervical curvature. Conclusions : The results suggest that neck pain is related to muscle tone rather than physical stress and cervical curvature.

• 한국의류학회지
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• 제32권9호
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• pp.1478-1486
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• 2008

The human body composed of concave and convex curvatures, and the current 3D scanning technology which involves inherent measurement errors make it difficult to extract distinct curvature plot directly. In this study, a method of extracting the clear curvature plot and its application to the cycling pants design were proposed. We have developed the ergonomic pattern from the 3D human body reflecting cycling posture. For the ergonomic design line on the 3D human body, the 3D information on the lower part of four male bodies with flexed posture was analyzed. The 3D scan data of four subjects were obtained using Cyberware. As results, the iteration of the tessellated shell was executed 100 times to obtain optimized curvature plots of the muscles on the body surface, and the boundaries of the curvature plots were applied to the design lines. Maximum(Max-pattern) and mean curvature plots(Mean-pattern) were adopted in the design line of the cycling pants, and performance of those lines was compared with that of conventional princess line(Con-pattern). The average error of total area and length in the 2D pattern developed from the 3D flexed body surface in this study were very minimal($4.58cm^2$(0.19%) and 0.15mm(0.46%)), which was within the range of tolerable limits in clothing production. The pattern obtained from the flexed body reflecting cycling posture already included the contraction and extension of the cycling skin, so that the extra ease for movement and good fit was not need to be considered.

• 대한수학회논문집
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• 제15권4호
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• pp.649-668
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• 2000

In this paper we prove the following : Let M be a real (2n-1)-dimensional compact minimal semi-invariant submanifold in a complex projective space P(sub)n+1C. If the scalar curvature $\geq$2(n-1)(2n+1), then m is a homogeneous type $A_1$ or $A_2$. Next suppose that the third fundamental form n satisfies dn = 2$\theta\omega$ for a certain scalar $\theta$$\neq$c/2 and $\theta$$\neq$c/4 (4n-1)/(2n-1), where $\omega$(X,Y) = g(X,øY) for any vectors X and Y on a semi-invariant submanifold of codimension 3 in a complex space form M(sub)n+1 (c). Then we prove that M has constant principal curvatures corresponding the shape operator in the direction of the distingusihed normal and the structure vector ξ is an eigenvector of A if and only if M is locally congruent to a homogeneous minimal real hypersurface of M(sub)n (c).

• Restorative Dentistry and Endodontics
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• 제22권1호
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• pp.388-395
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• 1997

Maintaining the original canal path during instrumentation is a challenge in narrow curved canals. This study compared the maintenance of the original canal path of curved root canals during instrumentation with two kinds of stainless steel K-files(Brassler USA & Mani Japan), K-flexofiles(Maillefer Swiss) and Ni-Ti files(Brassler USA, Savannah, GA) using circumferential filing technique to # 40 MAF on 60 extracted human molars. Buccal and mesial canals with minimal initial curvature of 20 degrees were used. The maximal initial curvature was 41.5 degrees. Sixty curved canals divided into four groups according to file type(Group 1 : Ni-Ti file, Group 2 : K-flexofile, Group 3: K-file(Brassler), Group 4 : K-file(Mani)). Radiographs of canals were obtained before and after canal shaping. And postoperative radiographs were compared with preoperative radiographs using superimposition method. Data analysis was performed using Covariance analysis and paired-comparison test. The results observed were as follow ; 1. The angle of curvature was better maintained with Ni-Ti file than with stainless steel files. (p<0.01) 2. There was no significant difference in maintaining canal curvature between K-flexofile, Brassler$^{(R)}$ K-file and Mani$^{(R)}$ K-file, although there was some differences in mean values of postoperative canal curvature. 3. Paired-comparison t test revealed significant differences within each of the three stainless steel file types when comparing the mean differences before and after instrumentation, but no significant differences were observed within Ni-Ti file group.

• 대한수학회보
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• 제54권6호
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• pp.2091-2106
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• 2017

The authors investigate f-biharmonic maps u : (M, g) ${\rightarrow}$ (N, h) from a Riemannian manifold into a Riemannian manifold with non-positive sectional curvature, and derive that if $\int_{M}f^p{\mid}{\tau}(u){\mid}^pdv_g$ < ${\infty}$, $\int_{M}{\mid}{\tau}(u){\mid}^2dv_g$ < ${\infty}$ and $\int_{M}{\mid}du{\mid}^2dv_g$ < ${\infty}$, then u is harmonic. When u is an isometric immersion, the authors also get that if u satisfies some integral conditions, then it is minimal. These results give an affirmative partial answer to conjecture 4 (generalized Chen's conjecture for f-biharmonic submanifolds).

• 호남수학학술지
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• 제42권1호
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• pp.123-137
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• 2020

The object of the present paper is to study certain geometrical properties of the submanifolds of generalized Sasakian space-forms. We deduce some results related to the invariant and anti-invariant slant submanifolds of the generalized Sasakian spaceforms. Finally, we study the properties of the sectional curvature, totally geodesic and umbilical submanifolds of the generalized Sasakian space-forms. To prove the existence of almost semiinvariant and anti-invariant submanifolds, we provide the non-trivial examples.

• 한방재활의학과학회지
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• 제19권2호
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• pp.213-225
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• 2009

Objectives : The purpose of this study was to investigate the factors related on pain in female office workers. Methods : Neck pain group of 31 female subjects complained of neck and arm discomfort. Normal group of 20 female subjects had no complaints or minimal discomfort. Cervical curvature and muscle tone were assessed by whole spine x-ray, meridian-electromyography(MEMG), craniovertebral angle, and Moire. Neck pain was evaluated by Neck Disability Index(NDI) and Visual Analog Scale(VAS). The emotional and other physical factors that could effect neck pain were checked by questionnaires including Beck Depression Index(BDI), Stress Reaction Index(SRI), Holmes & Rahe Social Readjustment Rating Scale(SRRS), International Physical Activity Questionnaire(IPAQ), and Gastrointestinal Symptom Rating Scale(GSRS). Results : The contraction and fatigue of upper trapezius by MEMG was significantly higher in the neck pain group. And BDI, SRI, SRRS, and GSRS were significantly higher in the neck pain group (p<0.05). However, there was no significant difference in the Jackson's angle, Cobb's method, craniovertebral angle, and moire between two groups. Conclusions : The results suggest that neck pain is related to mental stress rather than physical stress and physical stress does not change cervical curvature significantly.

• 한국수자원학회논문집
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• 제56권12호
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• pp.895-903
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• 2023

본 연구에서는 실내실험을 수행하여 홍수터 식생에 의한 하안의 안정성, 만곡부의 곡률 변화, 사행의 발달과 이동을 정량적으로 분석하였다. 홍수터에 식생이 있는 하도는 시간이 증가하면서 사행의 하폭이 일정하게 유지하지만, 선택적인 하안침식에 의해 사행이 발달하고 하류로 이동하였다. 이러한 과정에서 하안침식과 사주의 변화가 크지 않으며, 저수로가 일정하게 유지되면서 유사유출량은 감소하고 변동성이 거의 없이 일정하게 유지되고 있다. 식생의 밀도가 증가함에 따라, 하안침식률이 감소하였다. 식생의 밀도가 증가함에 따라 하안침식률이 감소하였고, 사행의 발달에 영향을 주었다. 이는 홍수터 식생이 하안의 안정성을 증가시키고, 하도의 평면변화에 영향을 미치는 주요 인자 중의 하나임을 의미한다. 하안침식률과 무차원 곡률반경은 홍수터에 식생이 없는 조건에서 가장 크고, 식생이 있는 조건에서는 작다. 또한 상대 측방이동률과 무차원 곡률반경도 하안침식률과의 관계가 유사하는 특성을 보였다. 따라서 홍수터 식생은 하도의 안정성을 증가시켜서 하안침식과 사행의 발달뿐만 아니라, 사행의 곡률 변화와 이동에 영향을 준다.

• 대한수학회보
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• 제53권6호
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• pp.1651-1670
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• 2016

In this paper, we investigate exponentially biharmonic maps u : (M, g) ${\rightarrow}$ (N, h) from a Riemannian manifold into a Riemannian manifold with non-positive sectional curvature. We obtain that if $\int_{M}e^{\frac{p{\mid}r(u){\mid}^2}{2}{\mid}{\tau}(u){\mid}^pdv_g$ < ${\infty}$ ($p{\geq}2$), $\int_{M}{\mid}{\tau}(u){\mid}^2dv_g$ < ${\infty}$ and $\int_{M}{\mid}d(u){\mid}^2dv_g$ < ${\infty}$, then u is harmonic. When u is an isometric immersion, we get that if $\int_{M}e^{\frac{pm^2{\mid}H{\mid}^2}{2}}{\mid}H{\mid}^qdv_g$ < ${\infty}$ for 2 ${\leq}$ p < ${\infty}$ and 0 < q ${\leq}$ p < ${\infty}$, then u is minimal. We also obtain that any weakly convex exponentially biharmonic hypersurface in space form N(c) with $c{\leq}0$ is minimal. These results give affirmative partial answer to conjecture 3 (generalized Chen's conjecture for exponentially biharmonic submanifolds).