• Title/Summary/Keyword: ${\alpha}$-form

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The Effects of ALPHA-NUMERIC Brand Name on the Functional Sportswear, for its Suitability, Brand Personality, and Attitude (기능성 스포츠 의류제품의 알파누메릭(Alpha-Numeric) 브랜드 네임이 제품의 적합성, 브랜드 개성 및 태도에 미치는 영향)

  • Suh, Hyun-Suk;Na, Youn-Kue;Sun, Jin-Young
    • Fashion & Textile Research Journal
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    • v.11 no.4
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    • pp.556-565
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    • 2009
  • This study investigates the effect of Alpha-numeric brand name on the product suitability, brand personality, and attitude. To do that we have chosen the functional sportswear, knowing the fact that the Alpha-numeric brand names are not hard to find in this industry. The changes have been made to Alpha-numeric names, such as the usage/non-usage of number, the size of number being used, the writing method, and the different typeface to suit for the study purpose. The results indicate that the Alpha-numeric brand names do have the effect on increasing the fitness for the product's brand. The bigger number and the cursive script will improve the product's suitability. The customers form positive attitude and favorability on the Alpha-numeric brand name compared to the regular brand name in this industry. The contribution of the study is to dig out the distinction of the communicational effects on the customers when the Alpha-numeric brand names take on the different forms. Therefore the current study enlights the practical value of Alpha-numeric brand name as part of the branding strategy.

ON THE INTEGRAL THEORY OVER DIFFERENTIABLE MANIFOLDS (I)

  • KWAK, HYO-CHUL
    • Honam Mathematical Journal
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    • v.1 no.1
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    • pp.1-9
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    • 1979
  • Positive Local Coordmate($(x^1,x^2,{\cdots}x^n)$)을 갖는 Oriented Manifold M을 생각한다. M이 Compact Carrier를 갖는 경우, M위의 n차(次) Differential Form ${\phi}^{(n)}$의 적분(積分)을 $${\int}{\phi}^{(n)}=\sum_{\alpha}{\int}_{-{\infty}}^{\infty}{\cdots}{\int}_{-{\infty}}^{\infty}f_{\alpha}{\phi}^{(n)}dx^1{\cdots}dx^n$$로 정의(定義)하며 (정의(定義) 7), M위의 p 차(次)의 Differential form $\beta^{(p)}$와 Differential simplex $S^{(p)}=(S^{(p)},\;{\pi},\;{\varepsilon})$에 대하여 $S^{(p)}$위의 $\beta^{(p)}$의 적분(積分)을 $${\int}_{^{(p)}S}{\beta}^{(p)}={\int}_{S^{(p)}}{\varepsilon}{\pi}^*{\beta}^{(p)}={\int}_{E^p}f{\cdot}{\varepsilon}{\cdot}{\pi}^*{\beta}^{(p)}$$로 정의(定義)한다 (정의(定義) 9). 단(但) $\bar{S}^{(p)}$$S^{(p)}=(p_0{\cdot}p_1{\cdots}p_p)$에 의(依)하여 Spanning 되는 $E^p$의 Subspace이고 f는 $\bar{S}^{(p)}$의 특성함수(特性函數)이다. 이때 (n-1)차(次)의 Differential Form ${\beta}^{(n-1)}$이 Compart인 Carrier를 가지면 ${\int}d{\beta}^{(n-1)}=0$이 됨을 고찰(考察)하며(정리(定理 8), (p-1)차(次) Differential Form ${\beta}^{(p-1)$과 p차(次) Differential Chain $C^{(p)}$에 관(關)하여 $${\int}_{C^{(p)}}d{\beta}^{(p-1)}={\int}_{{\partial}C^{(p)}}{\beta}^{(p-1)}$$이 성립(成立)함을 구명(究明)하려 한다(정리(定理) 10).

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ON TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF CERTAIN TYPES OF DIFFERENTIAL EQUATIONS

  • Banerjee, Abhijit;Biswas, Tania;Maity, Sayantan
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.1145-1166
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    • 2022
  • In this paper, for a transcendental meromorphic function f and α ∈ ℂ, we have exhaustively studied the nature and form of solutions of a new type of non-linear differential equation of the following form which has never been investigated earlier: $$f^n+{\alpha}f^{n-2}f^{\prime}+P_d(z,f)={\sum\limits_{i=1}^{k}}{p_i(z)e^{{\alpha}_i(z)},$$ where Pd(z, f) is a differential polynomial of f, pi's and αi's are non-vanishing rational functions and non-constant polynomials, respectively. When α = 0, we have pointed out a major lacuna in a recent result of Xue [17] and rectifying the result, presented the corrected form of the same equation at a large extent. In addition, our main result is also an improvement of a recent result of Chen-Lian [2] by rectifying a gap in the proof of the theorem of the same paper. The case α ≠ 0 has also been manipulated to determine the form of the solutions. We also illustrate a handful number of examples for showing the accuracy of our results.

Preparation of Valuable Compounds Encapsulated Polymer Nanoparticles with High Payload Using Core-crosslinked Amphiphilic Polymer Nanoparticles (코아 가교 양친성 고분자 나노입자를 이용한 고함량 유용 약물 담지 고분자 나노입자 제조)

  • Kim, Nahae;Kim, Juyoung
    • Applied Chemistry for Engineering
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    • v.27 no.1
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    • pp.26-34
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    • 2016
  • In this study, core-crosslinked amphiphilic polymer (CCAP) nanoparticles prepared using a reactive amphiphilic polymer precursor (RARP) were used for preparing some valuable compounds encapsulated polymer nanoparticles with high payload through nanoprecipitation process. Various solvents (acetone, ethanol, and THF) having different polarity and CCAP nanoparticles prepared using different amphiphilicity were used for the preparation of ${\alpha}$-tocopherol encapsulated polymer nanoparticles to investigate their effects on the encapsulation efficiency, payload, nanoparticle size, and stability. CCAP dissolved in hydrophobic solvent, THF, could form ${\alpha}$-tocopherol encapsulated polymer nanoparticles dispersed in water with the high payload of ${\alpha}$-tocopherol and encapsulation efficiency. Because of their physically and chemically robust nano-structure originated from crosslinking of the hydrophobic core, CCAP nanoparticles could encapsulate ${\alpha}$-tocopherol with the high payload (33 wt%) and encapsulation efficiency (97%), and form 70 nm-sized stable nanoparticles in water.

DEVELOPMENT OF THE KOREAN FORM OF THE TEST ANXIETY INVENTORY (우리나라 학생들의 시험불안 진단을 위한 도구 개발 과정)

  • Kim, Moon-Joo
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.2 no.1
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    • pp.32-42
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    • 1991
  • Spielbergers Test Anxiety Inventory(TAI) is a self-report scale which can measure the cognitive(Worry) and affective(Emotionality) components of test anxiety separately. After having administered it to 756 Korean middle school students, it was concluded that some of the items of TAI were not relevant for Koreans as they were. They have been revised on the basis of informations collected from interviews with Korean students. The Korean Form of TAI(TAI-K) consists of 25 items for primary school- and 35 for high school students. The Cronbach's ${\alpha}$ of the TAI-K and the test-retest reliability were proved(${\alpha}=.90,$ r=.78 for primary school students ; ${\alpha}=.94,$ r=.85 for high school students). General Anxiety Scale and Self-esteem Scale were used to prove its validity. test Anxiety correlates with general anxiety positively. while it correlates with self-esteem negatively.

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Conformational Analysis of Cyclodextrins and Their Methylated Analogs (시클로 덱스티린과 그 메틸유도체의 구조분석)

  • Hee-Sook Choi
    • Journal of the Korean Chemical Society
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    • v.36 no.2
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    • pp.324-328
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    • 1992
  • The $^1H$ NMR chemical shifts and coupling constants for ${\alpha}$-, permethyl-${\alpha}$-, ${\beta}$-and permethyl-${\beta}$-cyclodextrins in neutral aqueous media were assigned based on the 470MHz spectra. In order to obtain accurate chemical shifts and coupling constants the experimental spectra were analyzed with the Raccoon spin simulation program. The rotamer distribution around the$C_{5-}C_6$ bond of the cyclodextrins evaluated from the coupling constants of $J_{56a}$ and $J_{56b}$. In our calculation of the ${\alpha}$-, and ${\beta}$-cycliodextrin showed that gg conformers were most favorable form and tg conformers were least favorable form. It is very interesting to note the changes in $J_{56a}$, $J_{56b}$ coupling constants of permethylated ${\alpha}$- and ${\beta}$-cyclodextrins from unmodified one. The gg conformers were more increased than unmodified one and instead of tg conformers gt conformers were least favorable one upon methylation.

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Effect of ${\alpha}-Lipoic$ Acid on Expression of pERK1/2 following Ischemia-Reperfusion Injury in the Hindlimb Muscle Flap of Rats (흰쥐 후지근 피판에서 허혈-재순환 손상시 pERK1/2 발현에 대한 ${\alpha}-lipoic$ Acid의 효과)

  • Song, Jeong-Hoon;Kim, Min-Sun;Park, Byung-Rim;Park, Han-Su;Chae, Jeong-Ryong;Lee, Hye-Me;Na, Young-Cheon
    • Archives of Reconstructive Microsurgery
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    • v.14 no.2
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    • pp.85-94
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    • 2005
  • Purpose: This study was to evaluate the effect of ${\alpha}-lipoic$ acid, a potent free radical scavenger, on the expression of active form of extracellular signal-regulated kinase (pERK1/2) proteins from hindlimb muscles of rats following ischemia-reperfusion injury. Material and methods: 64 health, $280{\sim}350\;g$ weighted Sprague-Dawley male rats were used. In order to make a muscle flap, the gastrocnemius (GC) and soleus (SOL) muscles were dissected and elevated. The popliteal artery was occluded for 4hours and reperfused for 10 minutes, 30 minutes, 1 hour, 2 hours and 4 hours, respectively. Results: The ischemia by occlusion of the popliteal artery itself caused a minimal change in expression of phosphorylated form of proteins observed in hindlimb muscle. In contrast, after 4 hours of ischemia, immunoreactivity for pERK1/2 in the GC muscle showed dual peaks at 10 minutes and 4 hours after reperfusion. In ${\alpha}-lipoic$ acid treated group, the expression of pERK1/2 was increased significantly compared to I/R-only group. Conclusion: These results suggest that ${\alpha}-lipoic$ acid may protect I/R injury of the skeletal muscle through free radical scavening and activation of intracellular pERK1/2 expression.

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The Alpha Subunit of Go Interacts with Brain Specific High Mobility Group Box Containing Protein

  • Park, Jung-Sik;Ghil, Sung-Ho
    • Biomedical Science Letters
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    • v.12 no.4
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    • pp.405-411
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    • 2006
  • Heterotrimeric GTP binding proteins (G proteins) mediate signal transduction generated by neurotransmitter and hormones. Among G-proteins, Go is classified as a member of the Go/Gi family and the most abundant heterotrimeric G protein in brain. Most of the mechanistic analyses on the activation of Go indicated its action to be mediated by the $G{\beta}{\gamma}$ dimer because downstream effectors for its ${\alpha}$ subunit have not been clearly defined. To determine the downstream effectors of alpha subunits of Go ($Go{\alpha}$), we used yeast two-hybrid system to screen $Go{\alpha}$ interacting partners in cDNA library from the human brain. A brain specific high mobility group box containing protein (BHX), A possible transcription factor, was identified as a $Go{\alpha}$ interacting protein. We confirmed interaction between $Go{\alpha}$ and BHX employing in vitro affinity binding assay. Moreover, active form of $Go{\alpha}$ preferentially interacts with BHX than inactive farm. Our findings indicate that $Go{\alpha}$ could modulate gene expression via interaction with BHX during neuronal or brain development.

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Regulatory Mechanism in Tissue-specific Expression of Insulin-like Growth Factor-I Gene (Insulin-like growth factor-I 유전자의 조직 특이적 발현에 대한 조절기전)

  • 안미라
    • KSBB Journal
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    • v.18 no.4
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    • pp.329-334
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    • 2003
  • The present study was aimed at investigating the regulatory mechanism in tissue-specific expression of insulin-like growth factor-I (IGF-I) gene. The expression of IGF-I gene was determined by a solution hybridization/RNase protection assay using total RNA prepared from rat liver or brain of various ages. The levels of IGF-I transcripts were increased in liver gradually after birth, but decreased in brain. By using an oligonucleotide (FRE) corresponding to the C/EBP binding site of the rat IGF-I exon 1, multiple forms of C/EBP${\alpha}$ and C/EBP${\beta}$ proteins, which have DNA-binding activity, were detected in the rat liver or brain. Western immunoblot and southwestern analyses show that p42$\^$C/EBP${\alpha}$/, p38$\^$C/EBP${\alpha}$/, p35$\^$C/EBP${\alpha}$/, p38$\^$C/EBP${\beta}$/, and p35$\^$C/EBP${\beta}$ form specific complexes with the IGF-I exon 1 oligonucleotide in liver nuclear extract and that p42$\^$C/EBP${\alpha}$/ and p38$\^$C/EBP${\beta}$/ form complexes in brain. These data suggest that the formation of FRE-C/EBP isoform complexes may play important roles in the tissue-specific regulation of IGF-I gene expression.

COMPARISON THEOREMS ON THE OSCILLATION OF A CLASS OF NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES

  • Karpuz, Basak;Ocalan, Ozkan
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.401-409
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    • 2010
  • In this paper, we introduce an iterative method to study oscillatory properties of delay difference equations of the following form ${\nabla}_{\alpha}\;[x(t)\;-\;r(t)x(t\;-\;k)]\;+\;p(t)x(t\;-\;{\tau})\;-\;q(t)x(t\;-\;{\sigma})\;=\;0$, $t\;{\geq}\;t_0$, where $t_0\;{\in}\;\mathbb{R}$, t varies in the real interval ($t_0,\;{\infty}$), $\alpha$ > 0, $\kappa$, $\tau$, ${\sigma}\;{\geq}\;0$, $r\;{\in}\;C\;([t_0-{\alpha},\;{\infty}),\;\mathbb{R}^+$, p, $q\;{\in}\;C\;([t_0,\;{\infty}),\;\mathbb{R}^+)$ and ${\nabla}_{\alpha}x(t)\;=\;x(t)\;-\;x(t\;-\;{\alpha})$ for $t\;{\geq}\;t_0$.