• 제목/요약/키워드: reduced -division values

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ON THE MODULAR FUNCTION $j_4$ OF LEVEL 4

  • Kim, Chang-Heon;Koo, Ja-Kyung
    • Journal of the Korean Mathematical Society
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    • 제35권4호
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    • pp.903-931
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    • 1998
  • Since the modular curves X(N) = $\Gamma$(N)\(equation omitted)* (N =1,2,3) have genus 0, we have field isomorphisms K(X(l))(equation omitted)C(J), K(X(2))(equation omitted)(λ) and K(X(3))(equation omitted)( $j_3$) where J, λ are the classical modular functions of level 1 and 2, and $j_3$ can be represented as the quotient of reduced Eisenstein series. When N = 4, we see from the genus formula that the curve X(4) is of genus 0 too. Thus the field K(X(4)) is a rational function field over C. We find such a field generator $j_4$(z) = x(z)/y(z) (x(z) = $\theta$$_3$((equation omitted)), y(z) = $\theta$$_4$((equation omitted)) Jacobi theta functions). We also investigate the structures of the spaces $M_{k}$($\Gamma$(4)), $S_{k}$($\Gamma$(4)), M(equation omitted)((equation omitted)(4)) and S(equation omitted)((equation omitted)(4)) in terms of x(z) and y(z). As its application, we apply the above results to quadratic forms.rms.

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Quality Characteristics of Cookie Made with Oddi Powder (오디 분말을 첨가한 쿠키의 품질 특성)

  • Park, Geum-Soon;Lee, Jung-Ae;Shin, Young-Ja
    • Journal of the East Asian Society of Dietary Life
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    • 제18권6호
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    • pp.1014-1021
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    • 2008
  • The principal objective of this study was to assess the quality characteristics of cookies prepared with oddi powder (0, 1, 3, 5, 7%). The highest dough density value was 1.49, which was also observed in the 7% added group. The pH of the cookie dough was significantly reduced in at all oddi powder groups as compared to the controls. The spread factor of the cookies evidenced an inverse relationship with the concentration of oddi powder as compared to the controls (7.52). Hunter's color L, a, and b values in the cookies were reduced with increases in the level of added oddi powder. Hardness decreased, but chewiness increased, with increasing oddi concentrations as compared to the controls. In the sensory evaluation, the color of the cookies increased in a dose-dependent fashion with increasing concentrations of oddi powder. The taste scores were higher with a 3% addition of oddi powder. The cookies with $3{\sim}5%$ of the flour substituted for oddi powder scored highest on scores in appearance, flavor, taste, texture, and overall acceptability.

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Transition of Four Major Social Safety Indexes by Time Series Data Analysis (시계열 자료 분석을 통한 4대 사회안전지표 변화 추이)

  • Song, Chang Geun;Jang, Hyun-ju;Lee, Kum-Jin
    • Journal of the Society of Disaster Information
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    • 제11권4호
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    • pp.634-638
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    • 2015
  • Four major social safety indexes including industrial accident, traffic accident, fire, and violent crime were selected, and transition of those values by time series data analysis since 2003 was presented. Comparing with the 2003 figure, the index of industrial accident was reduced by 27.8%, which was the most improved safety index. The indicators describing the traffic accident and violent crime rate were reduced by approximately 12%. However, the fire safety index showed an increase of 40% compared with the base year because national fire classification system was changed so that minor fire is also included in the counting since 2006.

Coenzyme Q10, oxidative stress markers, and sperm DNA damage in men with idiopathic oligoasthenoteratospermia

  • Alahmar, Ahmed T;Sengupta, Pallav;Dutta, Sulagna;Calogero, Aldo E.
    • Clinical and Experimental Reproductive Medicine
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    • 제48권2호
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    • pp.150-155
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    • 2021
  • Objective: Oxidative stress (OS) plays a key role in the etiology of unexplained male infertility. Coenzyme Q10 (CoQ10) is a potent antioxidant that may improve semen quality and OS in infertile men with idiopathic oligoasthenoteratospermia (OAT), but the underlying mechanism is unknown. Therefore, the present study was undertaken to investigate the effect of CoQ10 on OS markers and sperm DNA damage in infertile patients with idiopathic OAT. Methods: This prospective controlled study included 50 patients with idiopathic OAT and 50 fertile men who served as controls. All patients underwent a comprehensive medical assessment. Patients and controls received 200 mg of oral CoQ10 once daily for 3 months. Semen and blood were collected and analyzed for sperm parameters, seminal CoQ10 levels, reactive oxygen species (ROS) levels, total antioxidant capacity, catalase, sperm DNA fragmentation (SDF), and serum hormonal profile. Results: The administration of CoQ10 to patients with idiopathic OAT significantly improved sperm quality and seminal antioxidant status and significantly reduced total ROS and SDF levels compared to pretreatment values. Conclusion: CoQ10, at a dose of 200 mg/day for 3 months, may be a potential therapy for infertile patients with idiopathic OAT, as it improved sperm parameters and reduced OS and SDF in these patients.

Perceived Dark Rim Artifact in First-Pass Myocardial Perfusion Magnetic Resonance Imaging Due to Visual Illusion

  • Taehoon Shin;Krishna S. Nayak
    • Korean Journal of Radiology
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    • 제21권4호
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    • pp.462-470
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    • 2020
  • Objective: To demonstrate that human visual illusion can contribute to sub-endocardial dark rim artifact in contrast-enhanced myocardial perfusion magnetic resonance images. Materials and Methods: Numerical phantoms were generated to simulate the first-passage of contrast agent in the heart, and rendered in conventional gray scale as well as in color scale with reduced luminance variation. Cardiac perfusion images were acquired from two healthy volunteers, and were displayed by the same gray and color scales used in the numerical study. Before and after k-space windowing, the left ventricle (LV)-myocardium boarders were analyzed visually and quantitatively through intensity profiles perpendicular the boarders. Results: k-space windowing yielded monotonically decreasing signal intensity near the LV-myocardium boarder in the phantom images, as confirmed by negative finite difference values near the board ranging -1.07 to -0.14. However, the dark band still appears, which is perceived by visual illusion. Dark rim is perceived in the in-vivo images after k-space windowing that removed the quantitative signal dip, suggesting that the perceived dark rim is a visual illusion. The perceived dark rim is stronger at peak LV enhancement than the peak myocardial enhancement, due to the larger intensity difference between LV and myocardium. In both numerical phantom and in-vivo images, the illusory dark band is not visible in the color map due to reduced luminance variation. Conclusion: Visual illusion is another potential cause of dark rim artifact in contrast-enhanced myocardial perfusion MRI as demonstrated by illusory rim perceived in the absence of quantitative intensity undershoot.

Enhanced electrocapacitive performance and high power density of polypyrrole/graphene oxide nanocomposites prepared at reduced temperature

  • Mudila, Harish;Joshi, Varsha;Rana, Sweta;Zaidi, Mohmd. Ghulam Haider;Alam, Sarfaraz
    • Carbon letters
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    • 제15권3호
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    • pp.171-179
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    • 2014
  • An attempt was made to investigate the effect of the preparation temperature on the electrocapacitive performance of polypyrrole (PPY)/graphene oxide (GO) nanocomposites (PNCs). For this purpose, a series of PNCs were prepared at various temperatures by the cetyltrimethylammonium bromide-assisted dilute-solution polymerization of pyrrole in presence of GO (wt%) ranging from 1.0 to 4.0 with ferric chloride as an oxidant. The formation of the PNCs was ascertained through Fourier-transform infrared spectrometry, X-ray diffraction spectra, scanning electron microscopy and simultaneous thermogravimetric-differential scanning calorimetry. The electrocapacitive performance of the electrodes derived from sulphonated polysulphone-bound PNCs was evaluated through cyclic voltammetry with reference to Ag/AgCl at a scan rate (V/s) ranging from 0.2 and 0.001 in potassium hydroxide (1.0 M). The incorporation of GO into the PPY matrix at a reduced temperature has a pronounced effect on the electrocapacitive performance of PNCs. Under identical scan rates (0.001 V/s), PNCs prepared at $10{\pm}1^{\circ}C$ render improved specific conductivity (526.33 F/g) and power density (731.19 W/Kg) values compared to those prepared at $30{\pm}1^{\circ}C$ (217.69 F/g, 279.43 W/Kg). PNCs prepared at $10{\pm}1^{\circ}C$ rendered a capacitive retention rate of ~96% during the first 500 cycles. This indicates the excellent cyclic stability of the PNCs prepared at reduced temperatures for supercapacitor applications.

New Fuzzy Inference System Using a Kernel-based Method

  • Kim, Jong-Cheol;Won, Sang-Chul;Suga, Yasuo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.2393-2398
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    • 2003
  • In this paper, we proposes a new fuzzy inference system for modeling nonlinear systems given input and output data. In the suggested fuzzy inference system, the number of fuzzy rules and parameter values of membership functions are automatically decided by using the kernel-based method. The kernel-based method individually performs linear transformation and kernel mapping. Linear transformation projects input space into linearly transformed input space. Kernel mapping projects linearly transformed input space into high dimensional feature space. The structure of the proposed fuzzy inference system is equal to a Takagi-Sugeno fuzzy model whose input variables are weighted linear combinations of input variables. In addition, the number of fuzzy rules can be reduced under the condition of optimizing a given criterion by adjusting linear transformation matrix and parameter values of kernel functions using the gradient descent method. Once a structure is selected, coefficients in consequent part are determined by the least square method. Simulated result illustrates the effectiveness of the proposed technique.

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An Investigation of Heat Transfer Characteristics of Swirling Flow in a 180$^{\circ}$ Circular Section Bend with Uniform Heat Flux

  • Chang, Tae-Hyun
    • Journal of Mechanical Science and Technology
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    • 제17권10호
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    • pp.1520-1532
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    • 2003
  • An experiment was performed to obtain the local heat transfer coefficient and Nusselt number in a circular duct with a 180$^{\circ}$ bend for Re=6 x 10$^4$, 8 x 10$^4$ and 1 x 10$\^$5/ under swirling flow and non-swirling flow conditions. The test tube with a circular section was made from stainless steel having a curvature ration of 9.4. Current heat flux of 5.11 kW/㎡ was applied to the test tube by electrical power and the swirling motion of air was produced by a tangential inlet to the pipe axis at 180$^{\circ}$. Measurements of local wall temperatures and the bulk mean temperatures of air were made at four circumferential positions at 16 stations. The wall temperatures showed a reduced distribution curve at the bend for the non-swirling flow, but this effect did not appear for the swirling flow. The Nusselt number distributions for the swirling flow, which was calculated from the measured wall and the bulk temperatures, were higher than that of the non-swirling flow. The average Nusselt number of the swirling flow increased by about 90-100%, compared to that of the non-swirling flow. The Nu/Nu$\_$DB/ values at the 90$^{\circ}$ station for non-swirling flow and swirling flow were approximately 2.5 and 4.8 at Re=6x10$^4$ respectively. The values agree well with Said's results for non-swirling flow.

The Importance of Tyr-475 and Glu-506 in $\beta$-Galactosidase from L. lactis ssp.lactis 7962

  • Yang, Eun-Ju;Lee, Jung-Min;Lee, Hyong-Joo;Kim, Jeong-Hwan;Chung, Dae-Kyun;Lee, Jong-Hoon;Chang, Hae-Choon
    • Journal of Microbiology and Biotechnology
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    • 제13권1호
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    • pp.134-138
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    • 2003
  • The secondary and tertiary structures of ${\beta}$-galactosidase from L. lactis ssp. lactis 7962 were designed using Nnpredict and Sybyl version 6.3. By using site-directed mutagenesis, the mutated enzymes, Tyr-475-phe and Glu-506-Asp, were generated based on the structural modeling of L. lactis ssp. lactis 7962. The enzymes Tyr.-475-Phe and Glu-506-Asp had <$1\%$ of the activity of the native enzyme with ONPG as substrate. The $V_{max}$ values of the mutated enzymes were greatly reduced (1,800~40,000-1314) compared with the value for the native ${\beta}$-galactosidase. However, the $K_m$ values of Tyr-475-Phe and Glu-506-Asp with ONPG, PNPG, PNPF, and PNPA were not significantly different from those of the native enzyme. The results obtained support the suggestion that Tyr-475 and Glu-506 constitute very important parts of the catalytic machinery of the ${\beta}$-galactosidase.

Effects of Dietary Hermetia illucens Powder on Duck Litter Quality and Livestock Environment (동애등에(Hermetia illucens) 분말을 오리 사료에 첨가 시 오리 깔짚 특성과 축산환경에 미치는 영향)

  • Chung, Tae-Ho
    • Journal of Environmental Science International
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    • 제28권8호
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    • pp.713-717
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    • 2019
  • The purpose of this study was to investigate the effects of dietary Hermetia illucens powder on duck litter quality. One hundred twenty Pekin ducks (0 day old) were assigned to 2 groups (0% and 0.5% Hermetia illucens powder) with 3 replicates (20 ducks per replicate) for 42 days. Duck litter quality included moisture, pH, VBN, total nitrogen, ammonia, and temperature. Litter pH and VBN values were significantly affected by Hermetia illucens powder (p<0.05). However, moisture and total nitrogen values were not greatly influenced by the addition of 0.5% Hermetia illucens powder (p>0.05). At 21, 28 and 35 days, both 0.5% Hermetia illucens powder and controls had a great effect (p<0.05) on ammonia contents, except at 7, 14 and 42 days. In comparison to control, ammonia contents in groups with 0.5% Hermetia illucens powder were reduced from 16.9 to 41.8% as the days increased. Duck litter showed lower temperature by 0.5% Hermetia illucens powder compare to control. In terms of environmental managements, these results suggest that using 0.5% Hermetia illucens powder as feed additives improved litter quality and decreased ammonia contents.