• Communications for Statistical Applications and Methods
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• v.17 no.5
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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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• v.19 no.3
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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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• v.18 no.6
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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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• v.24 no.4
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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.

• Journal of the Korean Mathematical Society
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• v.36 no.4
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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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• v.31 no.3
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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.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.3
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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.

• Journal of Veterinary Clinics
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• v.22 no.1
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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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• v.39 no.2
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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.

• Journal of the Korean Institute of Telematics and Electronics B
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• v.29B no.7
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• pp.52-61
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• 1992

An iterative scheme for computing the three-dimensional position and the surface orientation of an opaque object from a singel shaded image is proposed. This method demonstrates that calculating the depth(distance) between the camera and the object from one shaded video image is possible. Most previous research works on $'Shape from Shading$' problem, even in the $'Photometric Stereo Method$', invoved the determination of surface orientation only. To measure the depth of an object, depth of the object, and the reflectance properties of the surface. Assuming that the object surface is uniform Lambertian the measured intensity level at a given image pixel*x,y0becomes a function of surface orientation and depth component of the object. Derived Image Irradiance Equation can`t be solved without further informations since three unknown variables(p,q and D) are in one nonlinear equation. As an additional constraints we assume that surface satisfy smoothness conditions. Then equation can be solved relaxatively using standard methods of TEX>$'Calculus of VariationTEX>$'. After checking the sensitivity of the algorithm to the errors ininput parameters, the theoretical results is tested by experiments. Three objects (plane, cylinder, and sphere)are used. Thees initial results are very encouraging since they match the theoretical calculations within 20$\%$ error in simple experiments.> error in simple experiments.