• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.451-459
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• 2019

Let ${\mathcal{A}}$ and ${\mathcal{B}}$ be two operator ${\ast}$-rings such that ${\mathcal{A}}$ is prime. In this paper, we show that if the map ${\Phi}:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ is bijective and preserves Jordan or ${\ast}$-Jordan triple product, then it is additive. Moreover, if ${\Phi}$ preserves Jordan triple product, we prove the multiplicativity or anti-multiplicativity of ${\Phi}$. Finally, we show that if ${\mathcal{A}}$ and ${\mathcal{B}}$ are two prime operator ${\ast}$-algebras, ${\Psi}:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ is bijective and preserves ${\ast}$-Jordan triple product, then ${\Psi}$ is a ${\mathbb{C}}$-linear or conjugate ${\mathbb{C}}$-linear ${\ast}$-isomorphism.

• Korean Journal of Clinical Laboratory Science
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• v.55 no.1
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• pp.9-15
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• 2023

The purpose of this study was to analyze the relationship between diabetes and liver function test results. Unlike type 2 diabetes mellitus (T2DM), hepatogenous diabetes is caused by abnormal liver function. In this study, the relationship between liver enzymes, aspartate aminotransferase (AST), alanine transaminase (ALT), and the AST/ALT ratio (De Ritis ratio), indicating liver function, and diabetes-related tests was analyzed. The results of the study showed a positive correlation between AST and glucose (r=0.14, P<0.01), ALT and glucose (r=0.21, P<0.01), AST and glycated hemoglobin (HbA1c) (r=0.15, P<0.01), and ALT and HbA1c (r=0.20, P<0.01). The De Ritis ratio showed a negative correlation with glucose (r=-0.20, P<0.01) and HbA1c (r=-0.14, P<0.01). The results of regression analysis with AST, ALT, and the De Ritis ratio as independent variables and glucose (R²=0.05) and HbA1c (R²=0.04) as dependent variables revealed that the independent variables had a statistically significant effect on the dependent variables. AST showed a lower correlation between blood glucose and glycated hemoglobin than ALT, and an increase in ALT caused a decrease in the De Ritis ratio. Therefore, the De Ritis ratio can be said to be meaningful in relation to diabetes-related tests.

• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.975-992
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• 2017

In this article, we consider a real hypersurface of complex two-plane Grassmannians $G_2({\mathbb{C}}^{m+2})$, $m{\geq}3$, admitting commuting ${\ast}$-Ricci and pseudo anti-commuting ${\ast}$-Ricci tensor, respectively. As the applications, we prove that there do not exist ${\ast}$-Einstein metrics on Hopf hypersurfaces as well as ${\ast}$-Ricci solitons whose potential vector field is the Reeb vector field on any real hypersurfaces.

• Communications of the Korean Mathematical Society
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• v.34 no.4
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• pp.1315-1328
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• 2019

The object of the present paper is to study ${\eta}$-recurrent ${\ast}$-Ricci tensor, ${\ast}$-Ricci semisymmetric and globally ${\varphi}-{\ast}$-Ricci symmetric contact metric generalized (${\kappa}$, ${\mu}$)-space form. Besides these, ${\ast}$-Ricci soliton and gradient ${\ast}$-Ricci soliton in contact metric generalized (${\kappa}$, ${\mu}$)-space form have been studied.

• 대한임상약리학회:학술대회논문집
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• 2006.11a
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• pp.89-89
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• 2006

• 한국정보디스플레이학회:학술대회논문집
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• 2004.08a
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• pp.193-197
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• 2004

The effect of the temperature dependence of the smectic layer spacing in the smectic-A (SmA) phase on the formation of defects in the ferroelectric smectic-$C^{\ast}$ ($SmC^{\ast}$) phase is investigated with x-ray scattering technique. The study is based on thin parallel-aligned surface stabilized ferroelectric liquid crystal cells with two different alignment conditions, high pretilt $SiO_x$, alignment and low pretilt polyimide films. It is found that defects observed in the $SmC^{\ast}$ phase have much more profound dependence on the layer changes and chevron formation in the SmA phase than in the $SmC^{\ast}$ phase. We find that thermal layer expansion with decreasing temperature in the SmA phase suppresses the formation of defects observed in the SmC phase.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.287-301
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• 2011

Let X and Y be vector spaces. It is shown that a mapping $f\;:\;X{\rightarrow}Y$ satisfies the functional equation $$(\ddag)\hspace{50}dk\;f\left(\frac{\sum_{j=1}^{dk}x_j}{dk}\right)=\displaystyle\sum_{j=1}^{dk}f(x_j)$$ if and only if the mapping $f$ : X ${\rightarrow}$ Y is Cauchy additive, and prove the Cauchy-Rassias stability of the functional equation ($\ddag$) in Banach modules over a unital $C^{\ast}$-algebra. Let $\mathcal{A}$ and $\mathcal{B}$ be unital $C^{\ast}$-algebras. As an application, we show that every almost homomorphism $h\;:\;\mathcal{A}{\rightarrow}\mathcal{B}$ of $\mathcal{A}$ into $\mathcal{B}$ is a homomorphism when $h((k-1)^nuy)=h((k-1)^nu)h(y)$ for all unitaries $u{\in}\mathcal{A}$, all $y{\in}\mathcal{A}$, and $n$ = 0,1,2,$\cdots$. Moreover, we prove the Cauchy-Rassias stability of homomorphisms in $C^{\ast}$-algebras.

• 대한임상약리학회:학술대회논문집
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• 2006.11a
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• pp.90-90
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• 2006

• Journal of the Korea Institute of Information and Communication Engineering
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• v.5 no.5
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• pp.970-976
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• 2001

In this paper, OUIG IDL CFE, provided by Sunsoft, is used to take a IDL definitions as inputs and parse those. OmniORB3 is introduced to support functionality of the ORB. Suns CFE produce AST after parsing inputs. Actually, the node of AST Is instances of classes which are derived from CFE classes. As the compiler back end visit the node of the AST using iterator class, UTL_ScopeActiveIterator, it dumps codes of output. During processing, two files are generated. Routines of generating code are invoked by BE_produce.cc and codes are produced while visiting root of AST, idl_global->root(). The dump* functions which dump codes is called according to the type of node. In this paper, Mapping C++ of IDL definition is experimented and results In the same as that of omniidl which is provided by omniORB3. The code of results behavior correctly on omniORB3. In the future, we are interested in optimizing the performance of marshalling code via IDL compiler.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.2
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• pp.195-205
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• 2019

We consider additive mappings similar to derivations on Banach ${\ast}$-algebras and we will first study the conditions for such additive mappings on Banach ${\ast}$-algebras. Then we prove some theorems concerning approximate linear mappings of derivation-type on Banach ${\ast}$-algebras. As an application, approximate linear mappings of derivation-type on $C^{\ast}$-algebra are characterized.