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AN INVESTIGATION ON GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS EXPRESSED BY HYPERGEOMETRIC FUNCTIONS

  • Akyar, Alaattin;Mert, Oya;Yildiz, Ismet
    • Honam Mathematical Journal
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    • v.44 no.1
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    • pp.135-145
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    • 2022
  • This paper aims to investigate characterizations on parameters k1, k2, k3, k4, k5, l1, l2, l3, and l4 to find relation between the class of 𝓗(k, l, m, n, o) hypergeometric functions defined by $$5_F_4\[{\array{k_1,\;k_2,\;k_3,\;k_4,\;k_5\\l_1,\;l_2,\;l_3,\;l_4}}\;:\;z\]=\sum\limits_{n=2}^{\infty}\frac{(k_1)_n(k_2)_n(k_3)_n(k_4)_n(k_5)_n}{(l_1)_n(l_2)_n(l_3)_n(l_4)_n(1)_n}z^n$$. We need to find k, l, m and n that lead to the necessary and sufficient condition for the function zF([W]), G = z(2 - F([W])) and $H_1[W]=z^2{\frac{d}{dz}}(ln(z)-h(z))$ to be in 𝓢*(2-r), r is a positive integer in the open unit disc 𝒟 = {z : |z| < 1, z ∈ ℂ} with $$h(z)=\sum\limits_{n=0}^{\infty}\frac{(k)_n(l)_n(m)_n(n)_n(1+\frac{k}{2})_n}{(\frac{k}{2})_n(1+k-l)_n(1+k-m)_n(1+k-n)_nn(1)_n}z^n$$ and $$[W]=\[{\array{k,\;1+{\frac{k}{2}},\;l,\;m,\;n\\{\frac{k}{2}},\;1+k-l,\;1+k-m,\;1+k-n}}\;:\;z\]$$.

Surface Properties of WO3/Ag/WO3 Transparent Electrode Film with Multilayer Structures (적층구조에 적용하기 위한 WO3/Ag/WO3 투명전극막의 표면 특성 제어)

  • Kang, Dong-Soo;Lee, Boong-Joo;Kwon, Hong-Kyu;Shin, Paik-Kyun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.9
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    • pp.1323-1329
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    • 2015
  • The WO3/Ag/WO3 transparent thin films are fabricated by the RF magnetron sputtering. This has a transmittance of front and rear about 90% in the visible light range and surface resistance of 6.41Ω/□. In this paper, we analyzed the surface characteristics caused by the working pressure and O2 plasma surface treatment to apply a transparent electrode that was prepared to the laminated structure with other materials. The working pressure was changed in the WO3 film to 10mTorr, 7mTorr, and 5mTorr, it showed a lower than roughness of conventional ITO. In addition, by 55.5774 J/m2 at 5mTorr, it shows the hydrophobic property with lower process pressure. O2 plasma surface treatment was changed at the condisions of the RF power to 150W, 100W, and 50W and the process time to 240s, 180s, 120s, and 60s. The surface roughness are the maximum roughness(Rmax) 6.437nm and the average roughness(Rq) 0.827nm at RF power 150W, and the maximum roughness (Rmax) 6.880nm and the average roughness (Rq) 0.839nm at process time 240sec. It showed a lower value than the surface treatment. also about working pressure and process time is increased, it showed the hydrophobic.

REGULARITY OF THE GENERALIZED CENTROID OF SEMI-PRIME GAMMA RINGS

  • Ali Ozturk, Mehmet ;Jun, Young-Bae
    • Communications of the Korean Mathematical Society
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    • v.19 no.2
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    • pp.233-242
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    • 2004
  • The aim of this note is to study properties of the generalized centroid of the semi-prime gamma rings. Main results are the following theorems: (1) Let M be a semi-prime $\Gamma$-ring and Q a quotient $\Gamma$-ring of M. If W is a non-zero submodule of the right (left) M-module Q, then $W\Gamma$W $\neq 0. Furthermore Q is a semi-prime $\Gamma$-ring. (2) Let M be a semi-prime $\Gamma$-ring and $C_{{Gamma}$ the generalized centroid of M. Then $C_{\Gamma}$ is a regular $\Gamma$-ring. (3) Let M be a semi-prime $\Gamma$-ring and $C_{\gamma}$ the extended centroid of M. If $C_{\gamma}$ is a $\Gamma$-field, then the $\Gamma$-ring M is a prime $\Gamma$-ring.

The Effects of Various Light Intensity on the Polymerization of Resin Composites (광조사 강도의 변화에 따른 광중합 복합레진의 중합반응에 관한 연구)

  • Jun-Gyu Park;Byeong-Hoon Cho;In-Bog Lee;Hyuck-Choon Kwon;Chung-Moon Um
    • Restorative Dentistry and Endodontics
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    • v.26 no.1
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    • pp.86-94
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    • 2001
  • 기존의 광중합기는 높은 광강도를 제공함으로써 광중합 복합레진을 최대한 단축된 시간내의 중합을 목표로 하였다. 이러한 높은 광강도는 복합레진의 중합깊이, 중합률면에서는 우수하나 중합 반응속도가 빠름으로 인해 중합시 응력 발생이 높아진다는 일련의 보고가 있다. 최근에는 광중합 속도를 늦춤으로써 변연적합도 및 중합시 응력 발생을 낮추는 새로운 중합방법들이 제시되고 있다. 이에 본 실험에서는 광조사 강도의 변화가 광중합 복합레진의 중합반응 과정에 미치는 영향 및 중합된 복합레진의 중합률에 대한 영향을 분석하고자 하였다. 5개의 혼합형 광중합 복합레진 (Z-100, Spectrum, Z-250, Clearfil AP-X, P-60)을 사용하였으며 중합시 적용된 광조사 강도에 따라 6개의 실험군으로 정의하였다. 실험군과 이에 따른 광조사 방법은 다음과 같다. 1군은 110mW/$\textrm{cm}^2$로 40초 중합, 2군 210mW/$\textrm{cm}^2$로 40초 중합, 3군 410mW/$\textrm{cm}^2$로 40초 중합, 4군 620mW/$\textrm{cm}^2$로 40초 중합, 5군 110mW/$\textrm{cm}^2$로 10초 중합 후 1분 뒤 620mW/$\textrm{cm}^2$로 30초 중합, 6군 210mW/$\textrm{cm}^2$로 10초 중합 후 1분 뒤 410mW/$\textrm{cm}^2$로 30초 중합하였다. 광중합시 중합 반응 양상에 관한 분석은 시차주사 열계량기를 이용하여 37$^{\circ}C$ 항온상태에서 10분간의 열흐름곡선을 기록하였다. 기록된 열흐름곡선에서 중합 반응시 나타나는 중합열 및 최대 중합열에 이르는 시간을 기록하여 중합반응 속도를 측정하였다. 중합된 복합레진의 중합률은 Fourier Transform Infrared Spectrometer(FTIR)를 이용하였으며 2mm 두께의 복합레진 하방에서의 중합률을 측정하였다. 측정된 결과는 ANOVA 및 Student-Newman-Keuls 방법을 이용하여 유의성을 검증하였다. 실험결과 다음과 같은 결론을 얻었다. 1. 광중합 복합레진 중합시 광조사 강도가 증가할수록 중합열은 증가하였으나 통계적 유의성은 보이지 않았다 (p>0.05). 2. 최대 중합열에 이르는 시간은 광조사 강도가 증가할수록 단축되었다. 이단계 중합방법을 사용한 경우 중합반응 속도를 감소시킬 수 있음을 보였다. 3. 광조사 강도가 증가할수록 중합률은 증가하였다. 이단계 중합방법을 사용한 경우 연속적인 고광강도를 사용한 경우와 유사한 높은 중합률을 보였다. 4. 중합률면에서 광중합복합레진의 중합시 400mW/$\textrm{cm}^2$ 이상의 광강도가 필요한 것으로 나타났다.

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A Study on the Radiation Heat Transfer Effect near a Refrigerator Gasket (냉장고 가스켓 주위의 복사열전달 효과에 관한 연구)

  • Ha, Ji-Soo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.3
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    • pp.1605-1610
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    • 2015
  • The present study has been accomplished to elucidate the effect of radiation heat transfer in the heat transfer analysis of refrigerator gasket, which has near 30% of refrigerator heat loss. The numerical heat transfer analysis has been conducted with the simplified modeling of refrigerator gasket. From the present CFD analysis, heat loss at the gasket is $25.6W/m^2$ for the case without radiation effect and that for the case with radiation effect is $55.0W/m^2$, which is 2.2 times greater heat loss. The radiation protection layers were installed in the gasket from 0 to 7 and the case with 7 layers has 33% reduction effect of heat loss compared with the case without any radiation protection layer. Additionally, it is better effect of radiation heat loss reduction that the radiation protection layers would be placed to the outer or inner side of gasket rather than placing to the center of gasket.

Study on the Behavior of the Fish - 1 . The Swimming Force of Crusian Carp , Carassius Carassius - (어류의 행동에 관한 연구 - 1 . 붕어의 유영력 -)

  • 손태준
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.20 no.1
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    • pp.1-5
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    • 1984
  • The author carried out an experiment for the dynamical swimming force of crusian carp, Carassius carassius. The experimental water tank was made of 4mm thick transparent acryl board in the right hexahedral shape (400L$\times$240W$\times$800H mm). The water temperature in the tank ranged 20.6$^{\circ}C$ to 21.2$^{\circ}C$. The water level in the tank was maintained 70cm high from the bottom. The measurement of the swimming force was carried out by use of strain gauge. The results obtained can be summarized as follows: 1) The momentary maximum swimming force F sub(M) (g) and the sustainable maximum swimming force F sub(s) (g) can be expressed as a function of the body weight W(g). F sub(M) =1.45W, F sub(s) =0.29W where the momentary maximum swimming force means the highest value, and the sustainable maximum swimming force means the mean high value sustained for 4 to 5 seconds presented in the recording paper. 2) F sub(M) and F sub(s) can be expressed as a function of the body length L(cm). F sub(M) =0.11L super(2.63), F sub(s) =0.15L super(1.77) 3) The coefficient of hydraulic resistance for crusian carp was derived as 0.287.

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Effect of Artificial Light Sources on the Growth of Apple Rootstock M.9 Seedling (인공광원이 사과 대목 M.9 묘 생육에 미치는 영향)

  • So, Eun Hee;An, Jin Hee;Kim, Jae Kyung;Yoon, Yeo Joong;Park, So Jeong;Na, Jong-Kuk;Choi, Ki Yong
    • Journal of Bio-Environment Control
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    • v.27 no.4
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    • pp.341-348
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    • 2018
  • To investigate the effect of light sources on the growth and photosynthesis of the dwarf apple rootstock M.9 for the production of standard seedlings, the plants were cultivated in a controlled environment for 6 weeks. The sources of light are six treatments [Red (R), Blue (B), White (W), RBUV (R7B3 containing UV-A), RBW (R3B1W1), SMF (high pressure sodium + metal halide + fluorescent lamp) under $154{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$. Growth characteristics of apple seedlings varied depending on artificial light source at 3 weeks and 6 weeks. The plant height of apple seedling was high in the R, RBUV, RBW, and SMF light sources at 3 weeks, and in the R light at 6 weeks. There was no significant difference on stem diameter among the treatments at 3 weeks, but showed high in RBUV and RBW light at 6 weeks. Leaf number was the highest in RBUV light at 3 and 6 weeks. The chlorophyll content (SPAD value) was high in the B and RBUV light at 3 weeks, but it was not significant at 6 weeks. The growth rate to height of the R light (1.12mm/day) was the highest among the treatments, followed by RBUV, RBW, SMF, W and then B. Leaf area was the highest in RBUV and RBW lowest in B. Specific leaf area was high in W and fresh and dry weight were high in RBUV. The photosynthetic rate at 6 weeks was highest in the B and lowest in the R. Stomatal conductivity and transpiration rate were higher in the B and W compared to the other light sources. Therefore, we are considered that light sources for growth of dwarf apple rootstock M.9 seedlings are suitable the R, RBUV, and RBW light sources with a high mixing ratio of Red and Red +Blue.

UV-B Effects on Growth and Nitrate Dynamics in Antarctic Marine Diatoms Chaetoceros neogracile and Stellarima microtrias (중파 자외선에 노출된 남극 규조 Chaetoceros neogracile와 Stellarima microtrias의 성장과 질산염 흡수량의 변화)

  • Gang, Jae Sin;Gang, Seong Ho;Lee, Yun Ho;Sim, Jeong Hui;Lee, Sang Hun
    • ALGAE
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    • v.18 no.1
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    • pp.13-20
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    • 2003
  • Two isolated Antarctic marine diatoms, Chaetoceros neogracile VanLandingham and Stellarima microtrias (Ehrenberg) Hasle and Sims were examined to show changes of growth and uptake rate of nitrate due to UV-B irradiance. Chlorophyll (chl) a concentration was regarded as the growth index of diatom. The diatoms were treated with UV-B radiation and cultured for 4 days under cool-white fluorescent light without UV-B radiation. Two levels of UV-B exposures were applies: 1 and 6 W $m^{-2}$. Durations of UV-B treatment were 20, 40 and 60 minutes under 6 W $m^{-2}$ and 1, 2, 3, 4 and 5 hrs under 1 W $m^{-2}$. The control groups were cultured at the same time without UV-B radiation. The growth rates of two diatoms decreased under 1 and 6 W $m^{-2}$ UV-B irradiances than that of control group. After 4 days, chl a concentrations of C. neogracile were increased more than 4 times from 133 μgo$l^{-1}$ to 632 μgo$l^{-1}$ in control group. However, the concentration of experimental groups under 1 W $m^{-2}$ UV-B were only increased from 139 μgo$l^{-1}$ to 421 μgo$l^{-1}$ during one hour and the chl a concentrations were decreased from 144 μgo$l^{-1}$ to 108 μgo$l^{-1}$ during five hour. Growth of diatom dramatically more decreased under 6 W $m^{-2}$ UV-B than 1 W $m^{-2}$ UV-B. The chl a concentration of experimental groups under 6 W $m^{-2}$ UV-B for one hour was only increased from 111 μgo$l^{-1}$ to 122 μgo$l^{-1}$. In the case of S. microtrias showed also similar pattern to C. neogracile by UV-B radiation. The uptake rates of nitrate by the two strains were decreased abruptly under 6 W $m^{-2}$ UV-B irradiances. When two strains were treated under 1 and 6 W $m^{-2}$ UV-B during one hour, the strains were only continued growth and uptake of nitrate under 1 W $m^{-2}$ UV-B. This experimental evidence shows that exposure to UV-B radiation especially to high irradiance of UV-B decreases diatom survival and causes lower decrease of nutrient concentrations by microalgae in Antarctic water. Furthermore, evidence suggests that microalgal communities confined to near-surface waters in Antarctica will be harmed by increased UV-B radiation, thereby altering the dynamics of Antarctic marine ecosystems.

Manufacturing and Characteristics of Fruit Wine from Acanthapanax sessiliflorus (오가피 열매 발효주의 제조 및 특성)

  • Choi, Jae-Myoung;Kim, Kwang-Yup;Lee, Sang-Hwa;Ahn, Jun-Bae
    • Food Engineering Progress
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    • v.14 no.1
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    • pp.1-6
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    • 2010
  • Fruit wine from Acanthopanax sessiliflorus(A. sessiliflorus) including many pharmacological components was manufactured and its functional properties were investigated. The fruit part of A. sessiliflorus contained 75.74${\pm}$0.49%(w/w) moisture, 12.51${\pm}$1.23%(w/w) crude protein, 4.20${\pm}$0.51.%(w/w) crude fat and 5.21${\pm}$1.64%(w/w) crude ash. Minerals of fruit were potassium(12.94${\pm}$0.08 mg/g), calcium(1.53${\pm}$0.06 mg/g) and magnesium(1.12${\pm}$0.05 mg/g). Initial soluble solid and fermentation temperature were 24-30$^{\circ}$Brix and 20${^{\circ}C}$ for manufacturing fruit wine from A. sessiliflorus. When initial soluble solid of a must was adjusted to more than 30$^{\circ}$Brix, ethanol production was suppressed slightly. The polyphenol content of the fruit wine fermented at 20${^{\circ}C}$(125.24${\pm}$1.86 mg/mL) was higher than those at 25${^{\circ}C}$(99.69${\pm}$2.11 mg/mL) and 30${^{\circ}C}$(95.55${\pm}$1.54 mg/mL). Electron donating activities of wines fermented at 20, 25 and 30${^{\circ}C}$ were 85.9${\pm}$2.3, 55.7${\pm}$2.5 and 55.2${\pm}$3.4%, respectively. The content of eleutheroside B increased up to 146.58${\pm}$4.10 $\mu$g/mL during fermentation. There was no significant effect of fermentation temperature on eleutheroside B content. The fruit part of A. sessiliflorus can be used as a valuable resource for development of nutraceutical foods.

Design of 100mW Frequency Tripler Operating at 7 GHz (7 GHz 대역 100 mW 주파수 3체배기의 제작)

  • Roh, Hee-Jung;Joo, Jae-Hyun;Koo, Kyung-Heon
    • Journal of Advanced Navigation Technology
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    • v.14 no.1
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    • pp.20-26
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    • 2010
  • In this paper, a frequency tripler has been designed with 100mW medium-power using P-HEMT. It is designed to obtain 7.2 GHz frequency at the output that is an integer multiple of 2.4 GHz input frequency by using nonlinear device that produces 3rd harmonic. The frequency tripler is designed by using load-pull simulation. To suppress the 2nd and fundamental, notch filter is used for the frequency tripler. The tripler is designed to obtain about 21dBm output power with 15 dBm input, i.e., 6 dB conversion gain and the suppression of 20 dBc at fundamental, and 30 dBc at the second harmonics.