• Communications for Statistical Applications and Methods
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• 제17권5호
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• pp.647-652
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• 2010

By using a Malliavin calculus, we prove the central limit theorem on the power variation of the product of the unordered rectangles associated with a standard Brownian sheet.

• Communications for Statistical Applications and Methods
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• 제19권3호
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• pp.303-313
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• 2012

By using the techniques of a Malliavin calculus, we study the asymptotic behavior of the weighted cross-variation of a fractional Brownian sheet with a Hurst parameter $H=(H_1,H_2)$ such that 0 < $H_1$ < 1/2 and 0 < $H_1$ < 1/2.

• Communications for Statistical Applications and Methods
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• 제18권6호
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• pp.851-857
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• 2011

By using Malliavin calculus, we study a central limit theorem of the cross variation related to fractional Brownian sheet with Hurst parameter H = ($H_1$, $H_2$) such that 1/4 < $H_1$ < 1/2 and 1/4 < $H_2$ < 1/2.

• Journal of Acupuncture Research
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• 제24권4호
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• pp.125-142
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• 2007

calculus pharmacopuncture. Porcine skin including fat tissue after treated Fel ursi and Bovis calculus pharmacopuncture by means of the dosage dependent variation are investigated the histologic changes after injection of these pharmacopuncture. Results: Following results were obtained from the preadipocyte proliferation and lipolysis of adipocyte and histologic investigation of fat tissue. 1. Fel ursi and Bovis calculus pharmacopuncture showed the effect of decreased preadipocyte proliferation on the high dosage($1mg/m{\ell}$). 2. Fel ursi pharmacopuncture showed the effect of decreased the activity of glycerol-3-phosphate dehydrogenase (GPDH) on the high dosage($1mg/m{\ell}$) and Bovis calculus pharmacopuncture significantly showed from $0.1mg/m{\ell}$ concentration. 3. Fel ursi pharmacopuncture was not showed the effect of lipolysis, but Bovis calculus pharmacopuncture was increased the effect of lipolysis in all concentration significantly. 4. Investigated the histological changes in porcine fat tissue after treated Fel ursi and Bovis calculus pharmacopuncture, we knew that these pharmacopuncture was showed significant activity to the lysis of cell membranes in all concentration. Conclusion : These results suggest that Fel ursi and Bovis calculus pharmacopuncture efficiently induces diminish proliferation of preadipocyte and lipolysis in adipose tissue.

• 대한수학회지
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• 제36권4호
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• pp.663-677
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• 1999

This work is concerned mainly with the variational problem on an immersion x:M $\rightarrow$} $E^4$ . A new approach is introduced depends on the normal variation in any arbitrary normal direction in the normal bundle. The results of this work are considered as a continuation and an extension to that obtained in [1], [2] and [3], [4] respectively. The methods adapted here are based on Cartan's methods of moving frames and the calculus of variations.

• Korean Journal of Mathematics
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• 제31권3호
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• pp.323-337
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• 2023

In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex valued functions on rectifiable hyperbolic path. Also we have established bicomplex analogue of the Fundamental Theorem of Calculus for hyperbolic line integral.

• 충청수학회지
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• 제35권3호
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• pp.235-242
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• 2022

In this paper, we consider the existence of nonconstant warping functions on a warped product manifold M = B × _f² F, where B is a q(> 2)-dimensional base manifold with a nonconstant scalar curvature S_B(x) and F is a 3- dimensional fiber Einstein manifold and discuss that the resulting warped product manifold is an Einstein manifold, using the existence of the solution of some partial differential equation.

• 한국임상수의학회지
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• 제22권1호
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• pp.31-35
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• 2005

This study was performed to investigate of dental plaque, calculus and gingival inflammation in Beagle dogs. Forty adults Beagle dogs (28 male and 12 female) were used in this study. The dogs weighed 9.5 kg and were in good oral and systemic health as determined by physical examination, and all dogs had full and normal dentition. The dogs were given a commercial pellet feed during 2 years period. For all examination procedures, the dogs were premedicated with a subcutaneous injection of atropine sulfate (0.04 mg/kg). Anesthesia was induced and maintained by intravenous administration of ketamine (8 mg/kg) and xylazine (2 mg/kg). Dental plaque, calculus and gingival inflammation were assessed by Logan and Boyce clinical plaque index. Calculi covering the maxillary carnassial and first molar teeth were extensive and were accompanied by severe gingival inflammation and pocket formation. Calculi, accompanied by gingival inflammation, were clearly evident on buccal surfaces of other teeth. Calculi didn't showed on the lingual surfaces, but linguogingival inflammation formed in premolar teeth. Although the general pattern was clear, there was considerable variation among dogs in the rate of deposition of calculus and extend of gingival inflammation. This investigation suggest that feeding of the commercial dry food without dental hygiene increase plaque accumulation and may be a contributing factor in calculi formation and periodontal disease.

• Journal of Advanced Marine Engineering and Technology
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• 제39권2호
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• pp.159-165
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• 2015

Motion control schemes are generally classified into three categories (point stabilization, trajectory tracking, and path following). This paper deals with the problem which is associated with the initial deployment of a group of Unmanned Surface Vehicle (USVs) and corresponding point stabilization. To keep the formation of a group of USVs, it is necessary to set the relationship between each vehicle. A forcing functions such as potential fields are designed to keep the formation and a graph Laplacian is used to represent the connectivity between vehicle. In case of fixed topology of the graph representing the communication between the vehicles, the graph Laplacian is assumed constant. However the graph topologies are allowed to change as the vehicles move, and the system dynamics become discontinuous in nature because the graph Laplacian changes as time passes. To check the stability in the stage of deployment, the system is modeled with Kronecker algebra notation. Filippov's calculus of differential equations with discontinuous right hand sides is then used to formally characterize the behavior of USVs. The stability of the system is analyzed with Lyapunov's stability theory and LaSalle's invariance principle, and the validity is shown by checking the variation of state norm.

• 전자공학회논문지B
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• 제29B권7호
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• pp.52-61
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• 1992

본 논문은 단시안에 투영된 3차원 물체의 Image에서 측정된 명암강도의 차이를 이용하여 3차원 물체의 절대거리 z 및 형상을 유출하는 수치적인 방법을 연구, 단시안에 의해서도 Camera와 물체사이의 3차원 절대거리가 구해질 수 있음을 보여주고 있다. 기발표된 이론과는 다르게 본 논문에서는 점광원을 이용하여 투영된 명암강도와 3차원 물체의 절대거리 및 형상과의 관계를 물체가 Uniform Lambertian이라는 가정하에서 새로운 관계식으로 정립하였다. 정립된 Non-Linear 관계식은 Smoothness 조건아래 $'Calculus of Variation$'방법을 사용하여 수학적 Algorithm으로 정리되어 Programming 되었고 간단한 실험방법을 이용하여 실제 Data에 적용시켜 그 타당성을 조사하였다.당성을 조사하였다.