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The Effects of Learning Mathematics According to Feedback Method (피드백 방법에 따른 수학 학습의 효과)

  • Seo, Jong-Jin
    • Journal of the Korean School Mathematics Society
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    • v.10 no.1
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    • pp.71-89
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    • 2007
  • The present study was investigate the effects of feedback on mathematical achievement and attitude toward mathematics. Referring to the improvement of mathematics achievement, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there found no significant differ between group I and II(p>.05). As for the poor level of mathematics achievement, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there for fine level, found no significant differ between feedback group(group I and II)and the normal learning group(group III)(p>.05). Referring to the improvement of attitude toward mathematics, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there found no significant differ between feedback groups(group I and II)and the normal learning group(group III)(p>.05). As for the level(find or poor) of mathematics achievement, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there found no significant differ between feedback group(group I and II) and the normal learning group(groupIII)(p>.05).

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Oscillations of Difference Equations with Several Terms

  • Ocalan, Ozkan
    • Kyungpook Mathematical Journal
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    • v.46 no.4
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    • pp.573-580
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    • 2006
  • In this paper, we obtain sufficient conditions for the oscillation of every solution of the difference equation $$x_{n+1}-x_n+\sum_{i=1}^{m}p_ix_{n-k_i}+qx_{n-z}=0,\;n=0,1,2,{\cdots},$$ where $p_i{\in}\mathbb{R}$, $k_i{\in}\mathbb{Z}$ for $i=1,2,{\cdots},m$ and $z{\in}\{-1,0\}$. Furthermore, we obtain sufficient conditions for the oscillation of all solutions of the equation $${\Delta}^rx_n+\sum_{i=1}^{m}p_ix_{n-k_i}=0,\;n=0,1,2,{\cdots},$$ where $p_i{\in}\mathbb{R}$, $k_i{\in}\mathbb{Z}$ for $i=1,2,{\cdots},m$. The results are given terms of the $p_i$ and the $k_i$ for each $i=1,2,{\cdots},m$.

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Seed Protein Quality of Soybean Mutants (콩 돌연변이 계통의 단백질 특성)

  • Moo Hee, Yang;Joe W, Burton
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.39 no.3
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    • pp.278-284
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    • 1994
  • The sulfur amino acid composition in soybean (Glycine max L.) seeds may be an essential characteristic of new cultivars for some animal diets. Variation in seed storage protein among genotypes might make it possible to improve the quality of seed protein by genetically altering seed storage protein composition through plant breeding. This study was carried out to determine if mutant strains have potential for improving seed protein quality in soybean. Ten mutant strains had a distinct characteristic of seed storage protein subunits. Among the mutant strains, the sulfur amino acid compositions(methionine plus cystein) of Keburi(P.I.417016), Keburi(P.I.506817), and P.I.54608-1 were relatively higher than those of the others and were 1.9, 2.1, and 1.8%, repectively, which might be due to low levels of ${\alpha}$, ${\alpha}$', and ${\beta}$ subunits of 7S protein. Therefore, it is concluded that the mutant strains, Keburi(P.I.417016), Keburi(P.I.506817), and P.I.54608-1 appear to be potential materials for a breeding program for improving sulfur amino acid composition, and the others also seem to be possible breeding materials for other uses.

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MULTI-POINT BOUNDARY VALUE PROBLEMS FOR ONE-DIMENSIONAL p-LAPLACIAN AT RESONANCE

  • Wang Youyu;Zhang Guosheng;Ge Weigao
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.361-372
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    • 2006
  • In this paper, we consider the multi-point boundary value problems for one-dimensional p-Laplacian at resonance: $({\phi}_p(x'(t)))'=f(t,x(t),x'(t))$, subject to the boundary value conditions: ${\phi}_p(x'(0))={\sum}^{n-2}_{i=1}{\alpha}_i{\phi}_p(x'({\epsilon}i)),\;{\phi}_p(x'(1))={\sum}^{m-2}_{i=1}{\beta}_j{\phi}_p(x'({\eta}_j))$ where ${\phi}_p(s)=/s/^{p-2}s,p>1,\;{\alpha}_i(1,{\le}i{\le}n-2){\in}R,{\beta}_j(1{\le}j{\le}m-2){\in}R,0<{\epsilon}_1<{\epsilon}_2<...<{\epsilon}_{n-2}1,\;0<{\eta}1<{\eta}2<...<{\eta}_{m-2}<1$, By applying the extension of Mawhin's continuation theorem, we prove the existence of at least one solution. Our result is new.

p-PRECONVEX SETS ON PRECONVEXITY SPACES

  • Min, Won-Keun
    • Honam Mathematical Journal
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    • v.30 no.3
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    • pp.425-433
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    • 2008
  • In this paper, we introduce the concept of p-preconvex sets on preconvexity spaces. We study some properties for p-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of pc-convex function, $p^*c$-convex function, pI-convex function and $p^*I$-convex function.

Aerodynamic Characteristics of Korean Bilabial Stop Consonant as a Function of Phonemic Position in a Syllable (음절내 음소 출현 위치에 따른 한국어 양순 파열음의 공기역학적인 특징)

  • Park, Sang-Hee;Jeong, Haeng-Im;Jeong, Ok-Ran;Seok, Dong-Il
    • Speech Sciences
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    • v.9 no.4
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    • pp.59-75
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    • 2002
  • Aerodynamic analysis study was performed on 14 normal subjects (2 males, 12 females) with nonsense syllables composed of Korean bilabial stops (/p, p', $p^{h}$) and their preceding and/or following vowels, /i, a, u/. That is, [pi, p'i, $p^{h}i$, pa, p'a, $p^{h}a$, pu, p'u, $p^{h}u$, ipi, apa, upu, $ip^{h}i$, $ap^{h}a$, $up^{h}u$, ip'i, ap'a, up'u]. All measures were taken and analysed using Aerophone II voice function analyzer and included peak air pressure, mean air pressure, maximum flow rate, volume, mean SPL and phonatory SPL. A t-test and one-way ANOVA were employed for analysis. A post-hoc analysis was performed with Scheffe and Bonferroni. The results were as follows: First, MSPL. and MAP of /p, p', $p^{h}$/ were significantly different in different positions (initial and medial position). In addition, different vowel environment also produced significantly different aerodynamic characteristics those consonants. Especially the lax consonant /p/ was significantly different /i, a, u/ vowel environments. The tense consonant /p'/ was significantly different only /i/ vowel environment.

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Genetic Polymorphism of Cytochrome P450 2E1 in Korean Population (한국인 집단에서 Cytochrome P450 2E1의 유전적 다형성)

  • 정혜광;구희경;이상섭;양규환;정태천;변부형
    • Environmental Mutagens and Carcinogens
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    • v.16 no.2
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    • pp.97-102
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    • 1996
  • In this study, we have quantified genotype frequency of the cytochrome P450 (P450) 2E1 which codes for the P450 enzyme primarily responsible for the metabolic activation of carcinogenic nitrosamines and low molecular organic solvents, in Korean population by using PCR and RFLP at two sites previously associated with some cancers; a PstI and RsaI RFLP in the transcriptional regulatory region of the human P450 2E1 gene. The genotype frequencies of homozygous wild type (PstI site-absent) and heterozygous mutant type (PstI site-present) in PstI RFLP were 0.70 and 030, respectively. The homozygous mutant type in Pstl RFLP was not observed in Korean population. The genotype frequencies of homozygous wild type (RsaI site-present), heterozygous mutant type (RsaI site-absent), and homozygous mutant type in RsaI RFLP were 0.71, 0.26, and 0.03, respectively.

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COVERING AND INTERSECTION CONDITIONS FOR PRIME IDEALS

  • Chang, Gyu Whan;Hwang, Chul Ju
    • Korean Journal of Mathematics
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    • v.17 no.1
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    • pp.15-23
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    • 2009
  • Let D be an integral domain, P be a nonzero prime ideal of D, $\{P_{\alpha}{\mid}{\alpha}{\in}{\mathcal{A}}\}$ be a nonempty set of prime ideals of D, and $\{I_{\beta}{\mid}{\beta}{\in}{\mathcal{B}}\}$ be a nonempty family of ideals of D with ${\cap}_{{\beta}{\in}{\mathcal{B}}}I_{\beta}{\neq}(0)$. Consider the following conditions: (i) If $P{\subseteq}{\cup}_{{\alpha}{\in}{\mathcal{A}}}P_{\alpha}$, then $P=P_{\alpha}$ for some ${\alpha}{\in}{\mathcal{A}}$; (ii) If ${\cap}_{{\beta}{\in}{\mathcal{B}}}I_{\beta}{\subseteq}P$, then $I_{\beta}{\subseteq}P$ for some ${\beta}{\in}{\mathcal{B}}$. In this paper, we prove that D satisfies $(i){\Leftrightarrow}D$ is a generalized weakly factorial domain of ${\dim}(D)=1{\Rightarrow}D$ satisfies $(ii){\Leftrightarrow}D$ is a weakly Krull domain of dim(D) = 1. We also study the t-operation analogs of (i) and (ii).

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ASA 프로그램을 이용한 박막태양전지 구조설계 최적화

  • Baek, Seung-Sin;Choe, Hyeong-Uk;Lee, Yeong-Seok;Lee, Jun-Sin
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2009.11a
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    • pp.37-37
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    • 2009
  • 박막태양전지는 p-i-n substrate형과 n-i-p substrate형 두가지구조로 제조된다. 각 layer에서 activation energy와 band gap energy를 ASA simulator를 통해 조절해보았다. Simulation결과 p-i-n substrate형에서 p-layer와 n-i-p substrate형 n-layer에서 동일하게 activation energy 0.2eV, band gap energy 1.80eV에 최고효율 나왔고 각각 10.07%, 10.17%의 최고효율을 구할 수 있었다. 최적화 과정을 통하여 같은 조건에서 p-i-n substrate형 보다 n-i-p substrate형이 보다 높은 효율을 낸다는 것을 알 수 있었으며 본 연구를 통해 각 구조의 차이를 알 수 있었고 이는 높은 효율의 박막태양전지 설계에 도움이 될 것 이다.

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