• Title/Summary/Keyword: L-value

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DISTRIBUTION OF THE VALUES OF THE DERIVATIVE OF THE DIRICHLET L-FUNCTIONS AT ITS a-POINTS

  • Jakhlouti, Mohamed Taib;Mazhouda, Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1141-1158
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    • 2017
  • In this paper, we study the value distribution of the derivative of a Dirichlet L-function $L^{\prime}(s,{\chi})$ at the a-points ${\rho}_{a,{\chi}}={\beta}_{a,{\chi}}+i{\gamma}_{a,{\chi}}$ of $L^{\prime}(s,{\chi})$. We give an asymptotic formula for the sum $${\sum_{{\rho}_{a,{\chi}};0<{\gamma}_{a,{\chi}}{\leq}T}\;L^{\prime}({\rho}_{a,{\chi}},{\chi})X^{{\rho}_{a,{\chi}}}\;as\;T{\rightarrow}{\infty}$$, where X is a fixed positive number and ${\chi}$ is a primitive character mod q. This work continues the investigations of Fujii [4-6], $Garunk{\check{s}}tis$ & Steuding [8] and the authors [12].

The Study of Radon Concentration According to Building of Stars (건물 층별에 따른 라돈농도에 관한 연구)

  • Kim, Young-Sik
    • Journal of Environmental Health Sciences
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    • v.31 no.1
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    • pp.94-98
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    • 2005
  • This study was carried out to provide radon concentration and exposure in building. The average radon concentrations of building was measured 1.37 pCi/L in basement, 0.95 pCi/L in 1st layer, 0.74 pCi/L in 2nd layer, 0.56 pCi/L in 3rd layer, and 0.4 pCi/L in 4th layer, respectively. The average radon concentration of basement was measured the higher than any other stairs. Daily average distribution of radon concentrations in building shown that radon concentrations measured in morning at 8hr was the highest value. Monthly average distribution of radon concentrations shown 0.28 ${\pm}$ 0.17 pCi/L in April and 0.82 pCi/L in December that was the highest value. The average concentrations of radon was measured 0.38pCi/L in spring. 0.44 pCi/L in summer, 0.53 pCi/L in autumn, and 0.67 pCi/L in winter, respectively. This result shown that the average concentrations of radon in winter was the higher than any other seasons. That reasons was supposed that effect of number of exchanges and using air conditions was the higher in summer than winter.

A Study on Chemical Composition and Formation of Dewfall in Miryang Area (밀양지역 이슬의 생성과 화학적 조성에 관한 연구)

  • Jeon, Byung-Il;Hwang, Yong-Sik
    • Journal of Environmental Impact Assessment
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    • v.15 no.3
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    • pp.227-235
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    • 2006
  • In order to understand chemical characteristics and formation of dewfall in Miryang area, we analysed monthly distribution of dewfall, and investigated its chemical composition of dewfall. The modified teflon plate ($1m{\times}1m$) was used qualitatively to collect water soluble components at Miryang weather station from August 2002 to April 2003. Dewfall amount during the sampling periods (37 day) collected 5.28 mm. The behaviors of water soluble ions in dewfall showed the highest concentration ($555.8{\mu}eq/l$ for $Cl^-$, $338.6{\mu}eq/l$ for ${NO_3}^-$, $1118.2{\mu}eq/l$ for ${SO_4}^{2-}$, $262.7{\mu}eq/l$ for ${NH_4}^+$, $1341.0{\mu}eq/l$ for ${Ca_2}^+$, $177.8{\mu}eq/l$ for ${Mg_2}^+$, and $325.5{\mu}eq/l$ for $Na^+$) during the April, the lowest concentration ($243.6{\mu}eq/l$ for ${SO_4}^{2-}$, $39.3{\mu}eq/l$ for ${NH_4}^+$ and $456.2{\mu}eq/l$ for ${Ca_2}^+$) during the September. Monthly equivalent ratio of [${SO_4}^{2-}$]/[${NO_3}^-$] showed the highest value (6.45) during the March, the lowest value (1.86) during the September, and the mean value was 2.70.

Optimization of Synthesis Condition of Monolithic Sorbent Using Response Surface Methodology (반응 표면 분석법을 이용한 일체형 흡착제의 합성 조건 최적화)

  • Park, Ha Eun;Row, Kyung Ho
    • Applied Chemistry for Engineering
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    • v.24 no.3
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    • pp.299-304
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    • 2013
  • A 17-run Box-Behnken design was used to optimize the synthesis conditions of a monolithic sorbent. The effects of the amount of monomer (mL), crosslink (mL) and porogen (mL) were investigated. The experimental data were fitted to a second-order polynomial equation by the multiple regression analysis and examined using statistical methods. The adjusted coefficient of determination ($R^2$) of the model was 0.9915. The probability value (p < 0.0001) demonstrated a high significance for the regression model. A mean amount of polymer as 2120.15 mg was produced under the following optimum synthesis conditions: the optimized volumes of monomer, crosslink and porogen are 0.30, 1.40, and 1.47 mL, respectively. This was in good agreement with the predicted model value.

Quality Characteristics of Noodle (Garakguksu) with Curcuma longa L. Powder (울금가루를 첨가한 가락국수의 품질 특성)

  • Song, Seung-Heon;Jung, Hyun-Sook
    • Korean journal of food and cookery science
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    • v.25 no.2
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    • pp.199-205
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    • 2009
  • Wet noodles with different percentages of Curcuma Ionga L. powder(CLP) as an additive were generated and their cooking characteristics were evaluated. Wheat flour with 8% CLP had the highest water binding capacity and breakdown, while setback was reversed. Cooked noodle characteristics, weight, volume and tensile strength decreased as CLP content of wheat flour increased, but turbidity of the soup was reversed. L value of wet noodles was higher than cooked noodles, while b value, and texture of wet noodles were lower than cooked noodles. Hunter color value and texture measurements demonstrated decreasing L value, springiness and cohesiveness but increasing b value, hardness, gumminess and chewiness with increasing CLP content. In sensory evaluations, noodles made with 4% CLP were most highly preferred, while noodles made with 2% and 8% CLP were less preferred than CLP-free prepared noodles.

Quality Characteristics of Yukwa with Citrus Peel Powder (감귤과피를 함유하는 유과의 품질특성)

  • 배화순;이예경;김순동
    • Journal of the East Asian Society of Dietary Life
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    • v.12 no.5
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    • pp.388-396
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    • 2002
  • Quality characteristics of Yukwa, Korean traditional rice cookie, added with citrus peel (2, 4 and 6%) were investigated. Yukwa was prepared by adding the water homogenate of the peel and the quality characteristics were evaluated by the expansion rate, texture, color, sensory quality and content of total carotenoid, hesperidine and naringin. The expansion rate (1,517~855%) of Yukwa with higher concentrations of citrus peel powder was lower than that of control product (1,740%) and the brittleness followed the same trend. However, the values were in the range of those of the traditional Korean Yukwa. The color of the control Yukwa (L* value: 63.3~49.9, a* value: 10.6~17.8, b* value: 12.6~56.4) was white, but with citrus peel (2~6%) light yellow~yellow (L* value. 63.3~49.9. a* value: 10.6~17.8, b* values: 12.6~56.4). Carotenoid, hesperidin and naringin contents of Yukwa with the addition of peel powder were 0.18~0.51 mg%, 36.55~101.60 mg% and 24.65~70.81 mg%, respectively. The color and the overall acceptability of yukwa with 4% of citrus peel powder were the best. This combination had some orange flavor, but no differences in both sweet and sour taste.

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Effect of Dietary Fat Sources and L-arginine Supplementation on Endothelial function and Lipid Metabolism in Streptozotocin-Induced Diabetic Rats (식이지방의 종류와 L-arginine 보충이 당뇨쥐의 ENdothelium 기능 및 체내 지질대사에 미치는 영향)

  • 장문정;김연중;김명환
    • Journal of Nutrition and Health
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    • v.35 no.1
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    • pp.5-14
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    • 2002
  • Alteration in the syntesis or enhanced inactivation of nitric oxide(NO) can induce impairment of endothelial cell function. Insulin dependent diabetes mellitus(IDDM) is characterized by impaired endothelial function and vascular disease. NO is produced through L-arginine pathway To elucidate the hypothesis that the decreased production on NO in IDDM reflects vascular damage and the NO production can be manipulated by either dietary fat(7% of kg diet) or the oral supplementation with L-arginine(2g/kg bw), plasma markers for vascular endothelial damage and plasma lipid profiles were measured in streptozotocin(STZ)-induced diabetic rats. Diabetic or normal Sprague-Dawley rats were fed 6 different experimental diets for 4 weeks(SO : soybean oil, SOA: soybean oil + L-arginine supplementation, BT : beef tallow, BTA_ beef tallow + L-arginine supplementation, OV olive oil, OVA : olive oil + L-arginine supplementation). Plasma glucose, total cholesterel, HDL-cholesterol, LDL-cholesterol and triglyceride were measured. Endothelial markers, plasma von Willebrand factor(vWf), thromboxane B$_2$, and 6-keto PGF1$\alpha$ of aorta were measured by ELISA. Plasma NO production was evaluated through the measurement of nitrite by EIA. Feeding saturated fatty acid(SFA, BT) increased relative liver size(RLS) in diabetic rats compared to either polyunsatunted fatty acid(PUFA, SO) or monounsaturated fatty acid(MUFA, OV) The supplementation of L-arginine inhibited the liver and kidney enlargement in olive oil find diabetic rats. Plasma glucose was lower in diabetic animal find the olive oil compared to fed beef tallow and the supplementation L-arginine decreased it in diabetic rats find beef tallow significantly(p < 0.05). Plasma TXB$_2$ levels were increased due to diabetes and the value of beef tallow group showed highest value. Plasma vWf concentration of beef tallow group was higher value in normal rats and was elevated more in diabetes. In diabetic groups, the vWf concentration of olive oil group was lower than beef tallow or soybean oil group. The supplementation of L-arginine in diabetic rats decreased plasma TXB$_2$ and vWf levels significantly(p < 0.05). NO production was higher in normal olive oil fed rats and was tend to be decreased in diabetic rats and the supplementation of L-arginine recovered to normal value(p < 0.05), Olive oil supplemented with L-arginine tended to lower plasma total cholesterol and LDL-cholesterol after 4 week treatment. These results suggest that generalized vascular endothelial changes based on plasma TXB$_2$and vWf occurs in diabetic rats. and olive oil with L-arginine supplementation contributes to a better control of the hyperglycemia, endothelial changes and hypercholesterolemia accompanying diabetes as compared with beef tallow or soy bean oil in this rat model.

A Study on the phytoplankton distribution in polluted water. (오수에 따른 식물성 Plankton의 분포조사)

  • 김병구
    • Journal of Environmental Health Sciences
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    • v.5 no.1
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    • pp.61-65
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    • 1978
  • To investigate the phytoplankton distribution effected by polluted water, this research was carried out at eight sampling places in Tae-jun and one sampling place in Kang-kyong during the period from May 10 to July 25, 1977. The results are as follows. 1) The range of water temperature was 21.0~36.0$\circ$C (May 10~July 25), and pH value was in the range of 3.5~11.0. 2) BOD was generally high (140~432mg/l) 3) At the places where BOD was high, dominant species were Aphanocapsa rivularis, Microcystis aeruginosa and Oscillatoria sp. belonging to Cyanophyta, Chlorella sp. belonging to Chlorophyta, Euglena sp. belonging to Euglenophyta, and Navicula exqua and Navicula sp. belonging to Chrysophyta. 4) At the places where the range of pH value was 3.5~3.8 and the range of BOD value was 134~148mg/l, observable species were Scenedesmus ellipsoideus and Pandorina morurn belonging to Chlorophyta, Navicula exqua belonging to Chrysophyta and Euglena sp. belonging to Euglenophyta. 5) At the places where the range of pH value was 9.0~11.0 and the range of BOD value was 214~220mg/l, a few observable species were Scenedesmus carinatus, Scenedesmus ellipsoideus, Scenedesmus bijuga and Scenedesmus obundance belonging to Chlorophyta.

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Effect of Ecklonia cava Powder on Color and Texture of Sugar-Snap Cookies

  • Park, Myeong Ju;Lee, Jun Ho
    • Food Engineering Progress
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    • v.15 no.1
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    • pp.85-89
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    • 2011
  • Freeze-dried Ecklonia cava powder was incorporated into cookie dough at 5 levels (0%, 1.5%, 3%, 4.5%, and 6%, w/w) by replacing equivalent amount of wheat flour of the cookie dough. After aging and sheeting, cookies were baked at $185^{\circ}C$ for 14 min in a convection oven. The baked cookies were cooled to room temperature for 30 min and packed in airtight bags prior to all measurements. Lightness $(L^*)$ decreased significantly as the E. cava powder content increased (p<0.05) and a decreasing trend in both redness ($a^*$-value) and yellowness ($b^*$-value) was observed. On the other hand, firmness increased significantly with an increase in E. cava powder content (p<0.05). Increases in E. cava powder concentration up to 6% in the cookie formulation significantly increased the intensities of all sensory attributes such as color, flavor, taste, and firmness (p<0.05). Correlation analysis indicated that the E. cava concentration correlated significantly with most of the properties except for $a^*$-value (p<0.01, 0.05, or 0.001). Properties such as firmness and sensory color and firmness correlated positively while $L^*$- and $b^*$-value correlated negatively with E. cava concentration. Sensory color correlated negatively with $L^*$- and $b^*$-value. Sensory firmness correlated positively with mechanically measured firmness.