• Journal of the Chungcheong Mathematical Society
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• v.23 no.1
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• pp.119-126
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• 2010

In this paper, we find the formula for the analogue of Wiener measure over the subset of C[0, T] bounded by the sectionally differentiable functions, which is a generalization of Park and Skoug's results in [2].

• Journal of Dairy Science and Biotechnology
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• v.30 no.2
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• pp.111-117
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• 2012

A number of recently developed cheese analogues that are available in dairy food markets are currently being produced for improving health or diet, and they include Mozzarella, Cheddar, American, Muenster, and other custom flavors. Cheese analogues have many benefits such as extended-and-improved shelf life, price stability, and functional qualities that include better texture, higher melting point, and better stretching properties. Various cheese analogues can now be made by using soybeans or soy protein products, gelatin, gum arabic, and other ingredients. Hence, in this study, on the basis of previously published studies, we recommend soy protein for cheese analogues, for improving the texture and flavor of cheese analogues. Moreover, the best conditions for making cheese analogues and the factors that affect the characterization of cheese analogues have been described in this paper.

• Korean Journal of Applied Biomechanics
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• v.15 no.2
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• pp.147-153
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• 2005

The purpose of this study were to compare the differences of isometric lumber extension strength and subjective pain degrees between obesity patients group and normal body fat group in disc surgical operated patients. The research purposed to indicate how isometric lumbar extension exercise for 12 weeks affected to lumbar strength and visual analogue scale of patients suffered by chronic back pain. The subjects were 65 low back pain patients(male 30, female 35)who had disease on lumbar in W hospital. The lumbar extension strength was measured at seven degrees of angles, which were $0^{\circ}$ $12^{\circ}$ $24^{\circ}$ $36^{\circ}$ $48^{\circ}$ $60^{\circ}$ and $72^{\circ}$ before and after the exercise program. We got the results of subjective pain degree using the modified visual analogue scale(VAS) of Lawlis et al(1989) and measured the maximal isometric lumbar strength of all subjects using MedX lumbar extension machine. Results were as follows; After the exercise, the lumbar extension strength of normal body fat patients groups included males and female were greater than that of the obesity patients groups in all angles(p<.05). The visual analogue scale of chronic back pain patients was decreased significantly after the exercise(p<.05). The results showed the significance between the lumbar extension strength and the visual analogue scale of chronic back pain patients and showed that the isometric lumbar extension exercise decreased the subjective pain degrees of visual analogue scale with and increased lumbar extension strength. The correlation between the visual analogue scale and the %body fat of chronic back pain patients was no significant after exercise. Therefore, the lumbar extension strength exercise is needed for improvement of back strength, decrease of %body fat.

• Journal of the Korean Applied Science and Technology
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• v.30 no.2
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• pp.215-224
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• 2013

Recently, many cosmetic researchers have been focused on the development of high functional cosmetics including anti-wrinkle and whitening. In these studies, they couldn't afford to pay a deep attention to stable encapsulations for unstable materials and efficient drug deliveries for them. Particularly, in order to show a degree of instant effects as cosmetics, they can't also ignore moisturizing effect enough to satisfy customers just after applying and its maintenance by improving the function of skin barrier as well as above two effects. Therefore, skin analogue systems have attracted considerable attention in the view of structural and compositional similarity to intercellular membrane in stratum corneum. And, some models for skin analogue composition were developed to improve the function of skin barrier, stably encapsulate unstable materials such as retinol, vitamin B, C, E, etc., and control their skin penetration in order to show good effects as cosmetics. In this study, we suggest the new skin analogue model having the compositional similarity as well as conventional structural ones. Our skin analogue membrane(SAM) is mainly composed of ceramide/ cholesterol/phosphatidylcholin/fatty acids and its structural defects are compensated by including cholesterol amphiphile and controlling the ratio of ceramide/cholesterol. It was possible to confirm the formation of skin analogue membrane having highly-densed multilamella structure and compare them according to the change of each ratio with a polarized microscope, X-ray diffraction. More detaily, we observed their structures with a electron microscope(TEM). Finally, we dispersed them in excess of continuous water phase, observed the formation of maltese-cross liquid crystalline and measured the efficiency of drug deliveries and moisturizing effects.

• Clinical and Experimental Reproductive Medicine
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• v.18 no.1
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• pp.1-11
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• 1991

• Journal of the Korean Mathematical Society
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• v.39 no.2
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• pp.221-236
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• 2002

Using the p-adic q-integral due to T. Kim[4], we define a number B＊$_{n}$(q) and a polynomial B＊$_{n}$(q) which are p-adic q-analogue of the ordinary Bernoulli number and Bernoulli polynomial, respectively. We investigate some properties of these. Also, we give slightly different construction of Tsumura＇s p-adic function $\ell$$_{p}$(u, s, $\chi$) [14] using the p-adic q-integral in [4].n [4].

• Honam Mathematical Journal
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• v.32 no.4
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• pp.633-642
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• 2010

In this note, we introduce the definition of the generalized analogue of Wiener measure on the space C[a, b] of all real-valued continuous functions on the closed interval [a, b], give several examples of it and investigate some important properties of it - the Fernique theorem and the existence theorem of scale-invariant measurable subsets on C[a, b].

• Bulletin of the Korean Mathematical Society
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• v.53 no.3
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• pp.903-924
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• 2016

In the present paper, using a simple formula for the conditional expectations given a generalized conditioning function over an analogue of vector-valued Wiener space, we prove that the analytic operator-valued Feynman integrals of certain classes of functions over the space can be expressed by the conditional analytic Feynman integrals of the functions. We then provide the conditional analytic Feynman integrals of several functions which are the kernels of the analytic operator-valued Feynman integrals.

• Journal of the Korean Mathematical Society
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• v.39 no.5
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• pp.801-819
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• 2002

In this note, we establish a translation theorem in an analogue of Wiener space (C[0,t],$\omega$$\phi$) and find formulas for the conditional $\omega$$\phi$-integral given by the condition X(x) ＝ (x(to), x(t$_1$),…, x(t$_{n}$)) which is the generalization of Chang and Chang's results in 1984. Moreover, we prove a translation theorem for the conditional $\omega$$\phi$-integral.l.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.4
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• pp.615-622
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• 2015

In this note, we prove the theorems in analogue of Wiener space corresponding to the second and the third arcsine laws in the concrete Wiener space [1, 2] and we show that our results are exactly same to the concrete Wiener case when the initial condition gives the Dirac measure at the origin.