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Analysis of Mathematical Structure to Identify Students' Understanding of a Scientific Concept: pH Value and scale

  • Park, Eun-Jung;Choi, Kyung-Hee
    • Journal of The Korean Association For Science Education
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    • v.30 no.7
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    • pp.920-932
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    • 2010
  • Many topics in science, especially, abstract concepts, relationships, properties, entities in invisible ranges, are described in mathematical representations such as formula, numbers, symbols, and graphs. Although the mathematical representation is an essential tool to better understand scientific phenomena, the mathematical element is pointed out as a reason for learning difficulty and losing interests in science. In order to further investigate the relationship between mathematics knowledge and science understanding, the current study examined 793 high school students' understanding of the pH value. As a measure of the molar concentration of hydrogen ions in the solution, the pH value is an appropriate example to explore what a student mathematical structure of logarithm is and how they interpret the proportional relationship of numbers for scientific explanation. To the end, students were asked to write their responses on a questionnaire that is composed of nine content domain questions and four affective domain questions. Data analysis of this study provides information for the relationship between student understanding of the pH value and related mathematics knowledge.

Experimental study of strength of cement solidified peat at ultrahigh moisture content

  • Wang, Rong
    • Geomechanics and Engineering
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    • v.29 no.1
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    • pp.13-23
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    • 2022
  • Peat soil has the characteristics of high moisture content, large void ratio and low shear strength. In this study, unconfined compressive strength and SEM tests are conducted to investigate the effects of ultrahigh moisture content, cement content, organic content and pH value on the strength of solidified peat. As an increase in the cement content and curing period, the failure mode of solidified peat soil changes from ductile failure to brittle failure. The influence of moisture content on the strength of solidified peat is greater than the cement content. As cement content increases from 10% to 30%, strength of solidified peat at a curing age of 28 days increases by 161%~485%. By increasing water content by 100%, decreases of solidified peat at a curing age of 28 days is 42%~79%. Compared with the strength of solidified peat with a pH value of 5.5, the strength of peat with a pH value of 3.5 reduces by 10% ~ 46%, while the strength of peat with a pH value of 7.0 increases by 8% ~ 38%. It is recommended to use filler materials for stabilizing peat soil with moisture content greater than 200%. Because of small size of clay particles, clay added in the cement solidified peat can improve much higher strength that that of sand.

AN EXPERIMENTAL STUDY ON THE MEASUREMENT OF THE INITIAL ACIDITY OF DENTAL CEMENTS (수종 치과용 시멘트 경화시 초기 산도측정에 관한 실험적 연구)

  • Lee, Myung-Jong
    • Restorative Dentistry and Endodontics
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    • v.16 no.2
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    • pp.189-196
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    • 1991
  • The purpose of this study was to observe the inital acidity of zinc phosphate cements(Confit and Super Cem), poly carboxylate cement(Unident and Poly F), zinc oxide engenol cement(Stailine Super EBA) and g1ass ionomer cement(Fuji ionomer) Each cement was manuplated in accordance with each manufacturer's direction. All cements were mixed at the room temperature of $23^{\circ}{\pm}$, $5^{\circ}C$, and the electrode of pH meter(Ionanalyzer) was inserted in the mixed cement, and the acidity of cement were measured for 20 minutes from begining of cement mixing at $23^{\circ}C$ and $37^{\circ}C$ Results were as follows 1. The acidity of all cements ranges from pH 3, 5 to 4, 5 at 2 minutes after the start of mixing 2. The value of pH at $23^{\circ}C$ was higher than the value of pH at $37^{\circ}C$ in all cements. 3. As the time elapsed, the pH in all cements rose. The 20 minutes after the start of mixing the range of acidity was from pH 5 to pH 6 except Poly F. 4. In polycarboxylate cement, the different value of acidity at $23^{\circ}C$ and $37^{\circ}C$ was greatest. 5. The curve pattern of acidity in Unident was similar to that in Poly F cement The pH value of Unident was higher then that of Poly F, and value of pH in the curve pattern of acidity in Confit were similar to those in Super cement.

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Interaction of Antihistaminics with Muscarinic Receptor(I) -Action on the cardiac muscarinic receptor- (항(抗) Histamine제(劑)와 Muscarinic Receptor와의 상호작용(相互作用)(I) -심장(心臟) muscarinic receptor에 대한 작용(作用)-)

  • Lee, Shin-Woong;Park, Yeung-Joo;Lee, Jeung-Soo;Ha, Kwang-Won;Jin, Kap-Duck
    • YAKHAK HOEJI
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    • v.32 no.2
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    • pp.101-111
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    • 1988
  • $[^3H]$ Quinuclidinyl benzilate(QNB) binding assays were performed in the dog ventricular sarcolemma fraction enriched approx. 32-fold in sarcolemma compared to the starting homogenate to elucidate the effect of antihistaminics on cardiac muscarinic receptor. Chlorpheniramine(CHP) inhibited specific binding of $[^3H]$QNB and delayed the equilibrium binding. The rate constants at $37^{\circ}C$ for formation and dissociation of the QNB receptor complex were $0.38{\times}10^9\;M^{-1}$ and $1.6{\times}10^{-2}\;min^{-1}$, respectively. The mean value for the dissociation constant from the pairs of the rate constants was 43. 2 pM and this value was similar to the value(44.8pM) determined from Scatchard analysis. CHP decreased association rate constant, indicating increase in $K_D$ value. Decrease in affinity without affecting the binding site concentration$(B_{max})$ for $[^3H]$QNB binding by CHP was also demonstrated by Scatchard analysis. $K_i$ values for $H_i$-blockers that inhibited specific $[^3H]$QNB binding were $0.02{\sim}4.8{\mu}M$. Cimetidine with $K_i$ value of $230{\mu}M$, however, was ineffective in displacing $[^3H]$QNB binding at concentration of $50{\mu}M$. The Hill coefficient for $H_1$-blockers were about one. The results indicate that $H_1$-antihistaminics inhibit $[^3H]$ QNB binding by interaction with myocardiac muscarinic cholinergic receptor and anticholinergic side effects of these drugs are mainly due to this receptor blocking mechanism.

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A FINITE DIFFERENCE APPROXIMATION OF A SINGULAR BOUNDARY VALUE PROBLEM

  • Lee, H.Y.;Ohm, M.R.;Shin, J.Y.
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.473-484
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    • 1998
  • We consider a finite difference approximation to a singular boundary value problem arising in the study of a nonlinear circular membrane under normal pressure. It is proved that the rate of convergence is $O(h^2)$. To obtain the solution of the finite difference equation, an iterative scheme converging monotonically to the solution of the finite difference equation is introduced. And the numerical experiment of this method is given.

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THE CONVERGENCE OF FINITE DIFFERENCE APPROXIMATIONS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS

  • Lee, H.Y.;Seong, J.M.;Shin, J.Y.
    • Journal of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.299-316
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    • 1999
  • We consider two finite difference approxiamations to a singular boundary value problem arising in the study of a nonlinear circular membrane under normal pressure. It is shown that the rates of convergence are O(h) and O($h^2$), respectively. An iterative scheme is introduced which converges to the solution of the finite difference equations. Finally the numerical experiments are given

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Selection of Threshold for Complex Objects Representation from the H,K Curvatures (H,K곡률에서 세밀한 물체의 표현을 위한 임계치의 선정)

  • 조동욱
    • Proceedings of the Korea Contents Association Conference
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    • 2003.05a
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    • pp.426-429
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    • 2003
  • This paper proposes the threshold value selection for surface classification of 3-dimensional objects. Pre-existing method which uses the H-curvature and K-curvature has limitation in the practical threshold value selection. For this, this paper proposes the threshold value selection by the statistical method. Finally, the effectiveness of this paper demonstrated by experiment.

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On the Statistical Characteristics of Freak Wave Occurrence (Freak Wave 발생의 통계적 특성에 대하여)

  • Kim, Do-Young
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.14 no.2
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    • pp.138-145
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    • 2011
  • In this paper time series wave data are simulated by the Monte Calo method using random numbers to generate random phases of the wave signal. The simulated wave signasl are used to study the characteristics of freak waves. Various sea states are represented by combinations of the significant wave height $H_s$ defined in the spectrum method and the significant wave steepness $S_s$. For a fixed value of $S_s$, the probability of the occurrence of the freak wave is decreased as $H_s$ increases. For a fixed value of $H_s$ the probability of the occurrence of the freak wave increases as $S_s$ increases. The average value of the maximum wave height increase as $S_s$ increases, but the average height of freak wave remains the same and the value approaches two times of $H_s$. For the fixed value of $S_s$, average kurtosis of wave elevation increases as $H_s$ increases, but for a fixed $H_s$, the average kurtosis decreases as $S_s$ increases. The average of abnormality index(AI) is around 2.11 irregardless of $H_s$ and $S_s$. The maximum value of AI lies between 2.5 - 3.0. Therefore it is conjectured that AI maximum due to linear focusing is 3.0.

Effect of pH and Temperature on the Adsorption of Heavy Metals in Acid Mine Drainage (AMD) Onto Coal Mine Drainage Sludge (CMDS) (탄광슬러지를 이용한 금속광산 산성배수 처리 시 pH및 온도의 영향)

  • Cui, Ming-Can;Lim, Jung-Hyun;Kweon, Bo-Youn;Jang, Min;Shim, Yon-Sik;Khim, Jee-Hyeong
    • Journal of Soil and Groundwater Environment
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    • v.14 no.1
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    • pp.29-35
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    • 2009
  • In this study, the effect of pH and temperature on the adsorption behavior of acid mine drainage (AMD) on coal mine drainage sludge (CMDS) has been investigated during the treatment of coal mine drainage (CMD) by electrical purification method. The pH$_{zero\;point\;charge}$ (pH$_{zpc}$) of CMDS was 5. The removal ratio of copper, zinc, cadmium, iron were increased according to the increase of pH value. The adsorption amount of copper showed 0.64 mg g$^{-1}$ sludge. It was independent of pH value. The adsorption amount of the other metals showed l.l times when pH was 3. The adsorption amount of chromium was a little bit increased at the pH value higher than 7 due to a small amount of the chromium was eluted as $Cr(OH)_6^{3-}$. The amount of metals' absorption were decreased according to temperature was increase at pH value was 3. The selectivity order was Cd>Fe > Zn > Cu. The amount of absorption showed q$_{max}$ Cu 2.747 mg g$^{-1}$ andZn 2.525 mg g$^{-1}$ when pH value higher than 5. It was independent of temperature.

Characteristics of the Water Soluble Browning Reaction of Korean Red Ginseng as Affected by Heating Treatment (열처리에 따른 고려홍삼의 수용성 갈변물질의 특성)

  • 이종원;이성계
    • Journal of Ginseng Research
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    • v.22 no.3
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    • pp.193-199
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    • 1998
  • The purpose of this study was to Investigate characteristics of the water soluble browning reaction products (WS-BRPs) from Korean red ginseng by heat treatment. Absorbance of WS- BRPs was increased with increases of heating temperature and time, but pH value were decreased In Muter color value L and b value were decreased, while a value was increased. and absorbance at 280 nm in spectrum of the WS-BRPs was increased according to the increase of heating temperature. When the WS-BRPs were applied on Bio-Gel P-30 column after heating and pH treatment, two majors browning products increased according to the progress on time. And pH 3.0 increased in quantity of high molecular fractions and pH 8.0 increased in quantity of low molecular fractions.

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