• The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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• v.12 no.2
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• pp.212-221
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• 1999

Tongue examination is the most unique and important diagnostic method of oriental medicine. It reveals patients condition and give some information about direction of therapy and background of disease as well as produces clue of duration of disease changing that grasps it from outside. The aims of this study show that results of tongue examination is related to somewhat special pattern. we study 27 patients(age of means: 63.01 years old, male: 14, female: 13) who come to Wonkwang University Oriental-Medicine Hospital at Chonju with diabetes mellitus or diabetes mellitus complications. Tongue colors of this study result in pale-red 8 cases, pale 6 cases, red 6 cases, crimson 5 cases, blue-green-purple 2 cases and tongue fur of this study result in white-fur 16 cases, yellow-fur 7 cases, black-fur 1 case, none-fur 3 cases. And the condition of tongue fur with grimy and thin result in thin-white-fur 12 cases, white-grimy-fur 4 cases, thin-yellow-fur 5 cases, grimy-yellow-fur 2 cases, black-fur 1 case. Means level of fasting glucose during 7 days was $223.24{\pm}32.l7mg/dl$ and postprandial 2hours was $286.37{\pm}24.54mg/dl$ There were no changes in tongue body and tongue color but changes occur in tongue fur with 9cases in this period. 5 cases of patient make a difference between FBS(fasting blood glucose) and postprandial blood glucose level more than l00mg/dl (2 cases of patient with thin-white-fur gradually turned to slight-yellow-fur. There were no changes in 2 cases of patient with crimson-none-fur and pale-white-fur. 1 case of patient with slimy-yellow-fur turned to black fur.) 11 cases of patient had lesser than $10\%$ hemoglobin $A_lC$ and tongue color of these patient were pale-red 5cases, pale 2 cases, red 2 cases, crimson 2 cases. 16 cases of patient had more than $10\%$ Hemoglobin $A_1C$ and tongue color of these patients were pale-red 3 cases, pale 4 cases, red 4 cases, crimson 3 cases, blue 2 cases. This result shows that quantity of Hemoglobin $A_1C$ make a somewhat role in tongue color. The above results show that tongue color, fur color, condition and change of fur in diabetes mellitus patients is various in pale-red, pale, crimson, none-fur. So it is difficult to give an exact diagnosis on pathology of diabetes mellitus only with tongue examination because there are a little matches between blood glucose level, prevalence-period, short-term blood glucose regulation and tongue and fur colors.

• Bulletin of the Korean Mathematical Society
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• v.46 no.3
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• pp.511-519
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• 2009

A matrix $P{\in}\mathbb{C}^{n{\times}n}$ is called a generalized reflection matrix if $P^*$ = P and $P^2$ = I. An $n{\times}n$ complex matrix A is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = PAP (A = -PAP). It is well-known that the reflexive and anti-reflexive matrices with respect to the generalized reflection matrix P have many special properties and widely used in engineering and scientific computations. In this paper, we give new necessary and sufficient conditions for the existence of the reflexive (anti-reflexive) solutions to the linear matrix equation AXB + CY D = E and derive representation of the general reflexive (anti-reflexive) solutions to this matrix equation. By using the obtained results, we investigate the reflexive (anti-reflexive) solutions of some special cases of this matrix equation.

• Communications of the Korean Mathematical Society
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• v.31 no.2
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• pp.343-353
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• 2016

A remarkably large number of integrals whose integrands are associated, in particular, with a variety of special functions, for example, the hypergeometric and generalized hypergeometric functions have been recorded. Here we aim at presenting certain (presumably) new and (potentially) useful integral formulas whose integrands are involved in a product of $_2F_1$, Srivastava polynomials, and $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ functions. The main results are derived with the help of some known definite integrals obtained earlier by Qureshi et al. [4]. Some interesting special cases of our main results are also considered.

• Bulletin of the Korean Mathematical Society
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• v.51 no.3
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• pp.831-845
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• 2014

In this paper, we obtain new generating functions involving families of pairs of inverse functions by using a generalization of the Srivastava's theorem [H. M. Srivastava, Some generalizations of Carlitz's theorem, Pacific J. Math. 85 (1979), 471-477] obtained by Tremblay and Fug$\grave{e}$ere [Generating functions related to pairs of inverse functions, Transform methods and special functions, Varna '96, Bulgarian Acad. Sci., Sofia (1998), 484-495]. Special cases are given. These can be seen as generalizations of the generalized Bernoulli polynomials and the generalized degenerate Bernoulli polynomials.

• Structural Engineering and Mechanics
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• v.65 no.1
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• pp.69-79
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• 2018

This paper is devoted to two new techniques for free vibration analysis of concrete arch dam-reservoir systems. The proposed schemes are quadratic ideal-coupled eigen-problems, which can solve the originally non-symmetric eigen-problem of the system. To find the natural frequencies and mode shapes, a new special-purpose eigen-value solution routine is developed. Moreover, the accuracy of the proposed approach is thoroughly assessed, and it is confirmed that the new scheme is very accurate under all practical conditions. It is also concluded that both decoupled and ideal-coupled strategy proposed in the previous works can be considered as special cases of the current more general procedure.

• Journal of applied mathematics & informatics
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• v.5 no.1
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• pp.73-90
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• 1998

In this paper we introduce and study a number of new classes of quasi variational inequalities. using essentially the projection technique and its variant forms we prove that the gen-eralized set-valued mixed quasivariational inequalities are equivalent to the fixed point problem and the Wiener-Hopf equations(normal maps). This equivalence enables us to suggest a number of iterative algorithms solving the generalized variational inequalities. As a special case of the generalized set-valued mixed quasi variational in-equalities we obtain a class of quasi variational inequalities studied by Siddiqi Husain and Kazmi [35] but there are several inaccuracies in their formulation of the problem the statement and the proofs of the problem the statement and the proofs of their results. We have removed these inaccuracies. The correct formulation of thir results can be obtained as special cases from our main results.

• Communications of the Korean Mathematical Society
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• v.31 no.3
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• pp.591-601
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• 2016

Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo et al. [9]. Some interesting special cases of our main results are also considered.

• Journal of the Korean Mathematical Society
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• v.44 no.3
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• pp.565-583
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• 2007

We offer a refinement of the classical Clifford inequality about special linear series on smooth irreducible complex curves. Namely, we prove about curves of genus g and odd gonality at least 5 that for any linear series $g^r_d$ with $d{\leq}g+1$, the inequality $3r{\leq}d$ holds, except in a few sporadic cases. Further, we show that the dimension of the set of curves in the moduli space for which there exists a linear series $g^r_d$ with d<3r for $d{\leq}g+l,\;0{\leq}l{\leq}\frac{g}{2}-3$, is bounded by $2g-1+\frac{1}{3}(g+2l+1)$.

• Journal of the Korea Institute of Military Science and Technology
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• v.12 no.5
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• pp.667-675
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• 2009

Faults can be generated at electric power systems by variety of both certain and uncertain reasons, which may cause harmful effects on electrical apparatuses under operation and stability of electric power system operations, and may also lead to great confusions and inconveniences to individual livings, public works, industrial activities, services, military affairs, etc.. In some cases, intentional inductions of faults are committed for specific purposes, and it is necessary to understand the procedures of fault by some foreign materials. In this paper, compositions and operations of electric power systems, summaries of electrical fault phenomena and fault protection, and restrictions to power system operation were outlined. And the analogies on the procedure of faults from former papers were introduced, and test results that revealed the validity of those analogies were also introduced.

• Kyungpook Mathematical Journal
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• v.55 no.3
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• pp.695-703
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• 2015

Several interesting and useful extensions of some familiar special functions such as Beta and Gauss hypergeometric functions and their properties have, recently, been investigated by many authors. Motivated mainly by those earlier works, we establish some fractional integral formulas involving the extended generalized Gauss hypergeometric function by using certain general pair of fractional integral operators involving Gauss hypergeometric function $_2F_1$, Some interesting special cases of our main results are also considered.