• Title/Summary/Keyword: volume of unit ball

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SOME RESULTS RELATED WITH POISSON-SZEGÖKERNEL AND BEREZIN TRANSFORM

  • Yang, Gye Tak;Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.3
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    • pp.417-426
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    • 2011
  • Let ${\mu}$ be a finite positive Borel measure on the unit ball $B{\subset}{\mathbb{C}}^n$ and ${\nu}$ be the Euclidean volume measure such that ${\nu}(B)=1$. For the unit sphere $S=\{z:{\mid}z{\mid}=1\}$, ${\sigma}$ is the rotation-invariant measure on S such that ${\sigma}(S) =1$. Let ${\mathcal{P}}[f]$ be the Poisson-$Szeg{\ddot{o}}$ integral of f and $\tilde{\mu}$ be the Berezin transform of ${\mu}$. In this paper, we show that if there is a constant M > 0 such that ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}M{\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\nu}(z)$ for all $f{\in}L^p(\sigma)$, then ${\parallel}{\tilde{\mu}}{\parallel}_{\infty}{\equiv}{\sup}_{z{\in}B}{\mid}{\tilde{\mu}}(z){\mid}<{\infty}$, and we show that if ${\parallel}{\tilde{\mu}{\parallel}_{\infty}<{\infty}$, then ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}C{\mid}{\mid}{\tilde{\mu}}{\mid}{\mid}_{\infty}{\int_S}{\mid}f(\zeta){\mid}^pd{\sigma}(\zeta)$ for some constant C.

A Study on the Amelioration of the Standard of estimated Unit Manpower & Material' in the Landscape Planting Work (造景植栽工事 標準품셈의 改善方案에 關한 硏究)

  • Sohn, Chang-Ku;Kim, Kwi-Gon;Yoon, Keun-Young;Kang, Tae-Ho;Kim, Ik-Soo
    • Journal of the Korean Institute of Landscape Architecture
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    • v.18 no.3 s.39
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    • pp.23-37
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    • 1990
  • The purpose of this study was to suggest, an ameliorated, 'standard of estimated unit manpower & material' in the Landscape Planting Work. To achieve this goal of this study, following process was performed to reach more advanced results. First, relevant domestic & foreign references were gathered & analyzed with a viewpoint of the system & contents within, Second, most similar foreign country‘s relevant 10 forms & actual site were surveyed, Third, actual site data were collected from the 17 selected landscape Planting sites Fourth, the collected data from reference study & actual site survey were analyzed and calculated. And Finally, analyzed data were reorganized & rearranged in good order with 3 principles to produce more ameliorated 'Standard of estimated unit manpower & material' in the landscape Planting Work. The suggested main results of this study include, 1. Reorganization of current system to transplanting(includes excavation & root ball wrapping), planting(includes tree & shrub), turfing & maintenance 2. Deletion of the Range of 'account of labor' & simultaneous distribution of 'account of labor' with a proposed regular ratio 3. Adjustment of the range of the plant's size 4. Amelioration of the level of 'Account of labor' 5. New establishment in maintenance items as Watering, Fertilizing & spraying chemicals on turf area. 6. Readjustment & new establishment of the backfill volume. 7. Actualization, readjustment & new establishment of the transportation amount.

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Effect of Grinding on Solubility and Particle Size of Pefioxacin by Planetary Ball-Mill (유성볼밀을 이용한 난용성 Pefloxacin의 분쇄조작에 의한 입자 설계)

  • 임영근;김진우;최우식;야마모토;정해영
    • Journal of Life Science
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    • v.9 no.2
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    • pp.194-200
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    • 1999
  • Grinding aid is a necessary unit operation when the raw materials are handled in solid form, and the purpose is to improve the bioavailability by reducing the particle size. For the particle design of pefloxacin, the dry planetary ball-mill was used. With the drying process, 330 g of zirconia ball with its size of 2 mm in diameter and 10 g of pefloxacin were transferred to the pot and mixed well. The mixture was ground at 112 rpm (60 Hz) for 15, 30, and 60 min, respectively. The most satisfactory grinding products were generated at 15 min of grinding time for their particle size. The volume mean diameter $\X_50$ of the grinding products was 2.97 $\mu$m. X-ray diffraction (XRD), differential scanning calorimeter (DSC), and infrared spectroscopy (IR) patterns were relatively unchanged before pulverizing pefloxacin and in the progress of grinding. Thus, these results suggest that this pulverizing method can be used for grinding products without evident effect on stability of the drug pefloxacin. Dissolution test was carried out to set up the optimal detective condition against residual antibacteria of fish by HPLC. The grinding pefloxacin for 15 min is most effective in dissolution test.

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Development of Biofilter System for Reducing Odor from Livestock Facilities - Odor Reducing Characteristics of Bed Materials - (돈사악취저감을 위한 바이오필터 시스템 개발 - 충전재의 악취제거 특성 -)

  • 한원석;장동일;방승훈;이승주
    • Journal of Biosystems Engineering
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    • v.29 no.2
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    • pp.151-158
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    • 2004
  • This research was conducted to study the offensive odor adhesion efficiency of filter bed materials using the experimental column that was designed and constructed in this work. The offensive odor adhesion experiment was conducted using mixture of high physical adhesion efficiency material, and the fixity of deodorization microorganism of selected filter bed material was tested using ammonia exclude microorganism A4-2 and sulfur oxidation microorganism S5-5.2 those were cultured at the Agricultural Chemical Department of Chungnam National University, and deodorization efficiency of selected filter bed material mixture was tested. Followings are summary of these tests results. 1) Amount of elimination of the offensive odor gas ammonia and hydrogen sulfide per unit volume were 0.054 and 0.016 $\ell$/㎤ in rice hull, 0.01 and 0.004 $\ell$/㎤ in rice straw, 0.158 and 0.01 $\ell$/㎤ in coconut, 0.014 and 0.02 $\ell$/㎤ in perlite, 0.004 and 0.003 $\ell$/㎤ in high road ball, and 0.112 and 0.015 $\ell$/㎤ chaff of pine, respectively. 2) Amount of elimination of offensive odor gas of ammonia and hydrogen sulfide per unit vloume were 0.079 and 0.016 $\ell$/㎤ in mixture 1, 0.045 and 0.014 $\ell$/㎤ in mixture 2, 0.123 and 0.017 $\ell$/㎤ in mixture 3, 0.055 and 0.016 $\ell$/㎤ in mixture 4, 0.031 and 0.015 $\ell$/㎤ in mixture 5, and 0.111 and 0.020 $\ell$/㎤ in mixture 6, respectively. 3) The offensive odor elimination microoraganism inoculated to the mixture of chaff of pine (70%) and pert (30%) showed the elimination efficiency of 99.06% and 96.61% against the ammonia and hydrongen sulfide, respectively, during 24 hours period.

The Compressive Strength and Durability Properties of Polypropylene Fiber Reinforced EVA Concrete (폴리프로필렌 섬유 보강 EVA 콘크리트의 압축강도 및 내구성)

  • Nam, Ki Sung;Sung, Chan Yong
    • Journal of The Korean Society of Agricultural Engineers
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    • v.57 no.4
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    • pp.11-19
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    • 2015
  • The important properties of EVA (ethylene vinyl acetate) redispersible polymer was waterproof, densification of internal pore space of concrete and ball bearing and micro filler. Also, the significant role of polypropylene(PP) fiber was crack control and blockade of movement for deterioration factors. The most studies for EVA were limited in the field of mortar and PP fiber reinforced concrete had been studied in the state of being restricted unit water content, rich mix and mixing much of the fiber without considering construction site. Therefore, the control mix design were applied in ready mixed concrete using 10 % fly ash of total cement weight used in batch plant. On the basis of control mix design, EVA contents ranging from 0 % to 10 % of total cement weight and PP fiber contents ranging from 0 % to 0.5 % of EVA concrete volume were used in the mix designs. The results showed the maximum compressive strength value was measured at EVA 5.0 % and PP fiber 0.1 %, the minimum water absorption ratio was at EVA 10 % and PP fiber 0 %, the durability factor for freezing and thawing resistance was at EVA 5.0 % and PP fiber 0.3 % and the minimum weight reduction ratio of resistance to sulfuric acid attack was at EVA 10 % and PP fiber 0.5 % after curing age 42days. Meanwhile, From these results, PP fiber reinforced EVA concrete would be very benefit, if each optimal mix types were used in hydraulic structures, underground utilities and agricultural structures.

Characteristics of Bed Media for Reducing Odor from Livestock Facilities (축사 악취저감을 위한 바이오필터 충전재의 악취제거 특성)

  • 한원석;장동일;방승훈;이승주
    • Journal of Animal Environmental Science
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    • v.9 no.2
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    • pp.93-102
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    • 2003
  • This study designed and constructed an experimental column far adhesion efficiency test and conducted experiment to investigate the offensive odor adhesion efficiency of filter bed materials. The offensive odor adhesion experiment was conducted using mixture of high physical adhesion efficiency material, and the fixity of deodorization microorganism of selected filter bed material was tested using ammonia exclude microorganism A4-­2 and sulfur oxidation microorganism S5­-5.2 those were cultured at the Agricultural Chemical Department of Chungnam National University, and deodorization efficiency of selected filter bed material mixture was tested. Following are summary of these tests results. 1. Amount of elimination of the offensive odor gas of ammonia and hydrogen sulfide per unit volume was 0.054 and 0.016$\ell/\textrm{cm}^3$ in rice hull, 0.01 and 0.004 $\ell/\textrm{cm}^3$ in rice straw 0.158 and 0.01 $\ell/\textrm{cm}^3$ in coconut, 0.014 and 0.02$\ell/\textrm{cm}^3$ perlite, 0.004 and 0.003$\ell/\textrm{cm}^3$ in high road ball, and 0.112 and 0.015 $\ell/\textrm{cm}^3$ in chaff of pine, respectively. 2. Amount of elimination of offensive odor gas of ammonia and hydrogen sulfide per unit volume was 0.045 and 0.014$\ell/\textrm{cm}^3$ in mixture 1, 0.079 and 0.016$\ell/\textrm{cm}^3$ in mixture 2, 0.123 and 0.017 $\ell/\textrm{cm}^3$ in mixture 3, 0.031 and 0.015$\ell/\textrm{cm}^3$ in mixture 4, 0.055 and 0.016$\ell/\textrm{cm}^3$ in mixture 5, and 0.111 and 0.020$\ell/\textrm{cm}^3$ in mixture 6, respectively. 3. The offensive odor elimination microorganism inoculated to mixture of chaff of pine(70%) and perlite(30%) showed the elimination efficiency of 99.06% and 96.61% against the ammonia and hydrogen sulfide, respectively, during 24 hours period.

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A Bibliographical Study of Tzeam Using the Meat and Poultry (찜의 문헌적 고찰(I) -수조육류를 이용한 찜을 중심으로-)

  • Kim, Eun-Sil;Chun, Hee-Jung;Lee, Hyo-Gee
    • Journal of the Korean Society of Food Culture
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    • v.5 no.1
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    • pp.59-75
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    • 1990
  • The tzeam is the one of steaming cook that boiled the main material of poultry. meat and the sub-material of vegetables. It is always setted on the main-table in above seven chup ban sang and also kyoja sang. In this thesis, according to the kinds of tzeam in the main material of poultry, meat was to analysis reference frequency to them the materials, the measuring unit of materials, the terms of cooking and kitchen utensil by 47 books published in Korea from 1420 to 1987. 1. It was 37 kinds of tzeam in the main material of poultry, meat. 2. Materials were classified into the main-material, sub-materials, seasioning and decorations. 3. There were 43 kinds of measuring units, of them 18 kinds were for volume, 12 kinds were for quantity, 4 kinds were for length and the rest measuring units were 9 kinds. 4. There were 26 kinds of kitchen utensil for cooking. They were mainly used a hab 1 rice ball with lids, and castles (cast iron castle). 5. There were 27 kinds of cooking terms. The terms of them, 11 kinds were for heating methods, 16 terms of them were for the cutting process.

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