• Title/Summary/Keyword: L/H

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POSITIVE INTERPOLATION PROBLEMS IN ALG𝓛

  • KANG, JOO HO;KIM, KI SOOK
    • Honam Mathematical Journal
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    • v.26 no.4
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    • pp.379-389
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    • 2004
  • Given operators X and Y acting on a Hilbert space ${\mathcal{H}}$, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation $AX_i=Y_i$, for $i=1,2,{\cdots},n$. In this article, we obtained the following : Let ${\mathcal{H}}$ be a Hilbert space and let ${\mathcal{L}}$ be a commutative subspace lattice on ${\mathcal{H}}$. Let X and Y be operators acting on ${\mathcal{H}}$. Then the following statements are equivalent. (1) There exists an operator A in $Alg{\mathcal{L}}$ such that AX = Y, A is positive and every E in ${\mathcal{L}}$ reduces A. (2) sup ${\frac{{\parallel}{\sum}^n_{i=1}\;E_iY\;f_i{\parallel}}{{\parallel}{\sum}^n_{i=1}\;E_iX\;f_i{\parallel}}}:n{\in}{\mathbb{N}},\;E_i{\in}{\mathcal{L}}$ and $f_i{\in}{\mathcal{H}}<{\infty}$ and <${\sum}^n_{i=1}\;E_iY\;f_i$, ${\sum}^n_{i=1}\;E_iX\;f_i>\;{\geq}0$, $n{\in}{\mathbb{N}}$, $E_i{\in}{\mathcal{L}}$ and $f_i{\in}H$.

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Evaluation on the Effect of the Size of Placing Block(L/H) and Elastic Modulus of Base Structure on the Thermal Stress in Mass Concrete (매스콘크리트에서 타설블럭의 크기(L/H)와 구속체의 탄성계수가 온도응력에 미치는 영향에 관한 검토)

  • 강석화;이용호;박칠림
    • Proceedings of the Korea Concrete Institute Conference
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    • 1996.04a
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    • pp.275-279
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    • 1996
  • In this study, the effect of external restraint on the thermal stresses and thermal cracking mode in mass concrete are analysed using the two major factors affecting external restraint such as the ratio of width go height of the placed structure (L/H) and the elastic modulus of base structure (E). For this parametric study, many cases with different values of L/H and Er are analysed by the FEM program and the co-relationship of the those major factors is examined. To evaluate the effect of external restraint on the thermal behavior of placing structure, internal restraint stress caused by temperature difference is subtracted from total thermal stress. In the case of small value of L/H or Er, it shows as internally restricted mode indicating maximum tensile stress in surface at early age, and the external restraint makes the possibility of thermal cracking higher. However, in the case of the large values of L/H and Er, the crack index at center is smaller than at surface due to the effect of external restraint. Thus, the initial location of the thermal crack is shifted from the surface to the center and the resulting crack is formed at later age.

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NORMAL INTERPOLATION ON AX=Y AND Ax=y IN A TRIDIAGONAL ALGEBRA $ALG\mathcal{L}$

  • Kang, Joo-Ho
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.535-539
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    • 2007
  • Given operators X and Y acting on a separable complex Hilbert space $\mathcal{H}$, an interpolating operator is a bounded operator A such that AX=Y. In this article, we show the following: Let $Alg\mathcal{L}$ be a tridiagonal algebra on a separable complex Hilbert space $\mathcal{H}$ and let $X=(x_{ij})\;and\;Y=(y_{ij})$ be operators in $\mathcal{H}$. Then the following are equivalent: (1) There exists a normal operator $A=(a_{ij})\;in\;Alg\mathcal{L}$ such that AX=Y. (2) There is a bounded sequence $\{\alpha_n\}\;in\;\mathbb{C}$ such that $y_{ij}=\alpha_jx_{ij}\;for\;i,\;j\;{\in}\;\mathbb{N}$. Given vectors x and y in a separable complex Hilbert space $\mathcal{H}$, an interpolating operator is a bounded operator A such that Ax=y. We show the following: Let $Alg\mathcal{L}$ be a tridiagonal algebra on a separable complex Hilbert space $\mathcal{H}$ and let $x=(x_i)\;and\;y=(y_i)$ be vectors in $\mathcal{H}$. Then the following are equivalent: (1) There exists a normal operator $A=(a_{ij})\;in\;Alg\mathcal{L}$ such that Ax=y. (2) There is a bounded sequence $\{\alpha_n\}$ in $\mathbb{C}$ such that $y_i=\alpha_ix_i\;for\;i{\in}\mathbb{N}$.

Biosorption of Lead and Cobalt by Absidia coerulea and Thraustochitrium sp. (Absidia coerulea와 Thraustochitrium Sp. 에 의한 납과 코발트의 생물흡착)

  • Lee, Moo-Yeal;Yang, Ji-Won
    • Journal of Korean Society of Environmental Engineers
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    • v.22 no.12
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    • pp.2149-2161
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    • 2000
  • Nonliving Absidia coerulea and Thraustochitrium sp. were used as biosorbents to remove lead and cobalt that are one of representative pollutant in wastewater and radioactive liquid waste. The optimum pH range for maximum lead and cobalt removal was increased 6.5~11.4 and 8.6~12.0 for Absidia coerulea and 4.2~10.5 and 8.9~11.6 for Thraustochitrium sp. to compared to biosorbent-free control, pH of 8.4~11.2 and 10.5~11.5, respectively. With 1 g biosorbent/L at initial solution pH 5.0. Absidia coerulea and Thraustochitrium sp. took up lead from aqueous solutions to the extent of 104 and 125 mg/g biomass, respectively, whereas Absidia coerulea and Thraustochitrium sp. at initial pH 6.0 took up only 2 and 20 mg/g biomass of cobalt, respectively. For initial 500 mg Pb/L at initial pH 5.0. optimum amount of biosorbent for maximum lead uptake was 0.2 g/L for Absidia coerulea and Thraustochitrium sp., whereas optimum 3.0 g biosorbent/L was needed for initial 200 mg Co/L at initial pH 6.0. Absidia coerulea and Thraustochitrium sp. had higher adsorption capacity for lead than that of cobalt.

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Effect of UV-C Irradiation on Inactivation of Escherichia coli O157:H7 and Listeria monocytogenes on Washed Carrot during Storage (UV-C 조사가 세척 당근의 저장 중 E. coli O157:H7과 Listeria monocytogenes의 생육저해 및 품질에 미치는 영향)

  • Kim, Ju-Yeon;Kim, Eun-Kyo;Shin, Cho-Long;Song, Kyung-Bin
    • Food Science and Preservation
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    • v.16 no.5
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    • pp.636-643
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    • 2009
  • Inactivation by UV-C irradiation of Escherichia coli O157:H7 and Listeria monocytogenes inoculated onto washed carrots was examined. Carrot samples were inoculated with 6-7 log CFU/mL of E. coli O157:H7 or L. monocytogenes, treated with doses of 0, 1, 3, 5, or $10\;kJ/m^2$ UV-C, and stored at $4{\pm}1^{\circ}C$ for 8 d. The populations of E. coli O157:H7 and L. monocytogenes significantly decreased with increasing irradiation dose (p<0.05). In particular, E. coli O157:H7 and L. monocytogenes populations fell significantly by 2.35 and 2.38 log CFU/g at $10\;kJ/m^2$, respectively, compared to control values. UV-C irradiation inhibited color changes and decreased the whiteness index in carrot during storage, compared to controls. Sensory evaluation results showed that UV-C-treated carrots had better sensory characteristics than did the control. Therefore, the results suggest that UV-C irradiation could be useful to improve the microbial safety and sensory qualities of fresh-cut carrots during storage.

A Continuous Process for Phosphorus Recovery from Swine Slurry with Forming Struvite (양돈액비에서 Struvite 형성으로 연속적 인의 회수기술)

  • Oh I.H.;Lee J.H.;Choi B.H.;Burns R.T.
    • Journal of Animal Environmental Science
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    • v.12 no.2
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    • pp.95-100
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    • 2006
  • This study was carried out to develop a continuous process for recovering phosphorus in swine slurry. Magnesium chloride ($MgCl_2$) was used in the test as a magnesium source and the pH was regulated by adding NaOH and aerating. The results showed that the recovery rate of soluble phosphorus (SP) has increased with the molar ratios increased. In case of pH regulated with NaOH, the recovery rates of SP with molar ratio of 1:1.5 were over 95% from both farms. The removal of ammonia-nitrogen was at levels of $4{\sim}9%$. With aeration treatment, the SP recovery rate was 66% and the removal rate of ammonia-nitrogen was 15%. The treatment of NaOH to increase pH showed better SP recovery efficiency than the aeation treatment. However, in case of ammonia-nitrogen removal, the treatment of aeration showed better results than the NaOH treatment.

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Degradation Characteristics of Methyl Ethyl Ketone and Methyl Isobuthyl Ketone by Pseudomonas putida KT-3. (Pseudomonas putida KT-3의 Methyl Ethyl Ketone 및 Methyl Isobuthyl Ketone 분해 특성)

  • 김민주;이태호;이경미;류희욱;조경숙
    • Microbiology and Biotechnology Letters
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    • v.30 no.4
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    • pp.395-401
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    • 2002
  • Methyl ethyl ketone (MEK) and methyl isobutyl ketone (MIBK) have been widely used as solvents in various industries. Biodegradation of MEK and MIBK by Pseudomonas putida KT-3, which could utilize MEK or MIBK as a sole carbon source, was characterized, and the cosubstrate interaction in MEK/MIBK mixture was also studied. Within the range of initial MEK concentration (from 0.5 to 5.5 mM), an increased substrate concentration increased the specific degradation rate of MEK by P putida KT-3 (from 3.15 to 10.58 mmol/g DCW$\cdot$h), but the rate sightly increased at 11.0 mM of initial MEK concentation (11.28 mmol/g DCW$\cdot$h). The similar degradation rates of MIBK (4.69-4.92 mmol/g DCW$\cdot$h) were obtained at more than 3.0 mM of initial MIBK concentation. Kinetic analysis on the degradation of MEK/MIBK mixture by P. putida KT-3 showed that MEK or MIBK acted as a competitive inhibitor. Maximum degradation rate ($V_{max}$), saturation constant ($K_{m}$) and inhibition constant ($K_{1}$) were as follows: $V_{max,MEK}$=12.94 mmol/g DCW$\cdot$h; $K_{m,MEK}$=1.72 mmol/L; $K_{l,MEK}$=1.30 mmol/L; $V_{max,MIBK}$=5.00 mmol/g-DCW$\cdot$h; $K_{m,MIBK}$=0.42 mmol/L; $K_{l,MEK}$=0.77 mmol/L.

2-Dimensional scattering by a periodic strip grating on a grounded dielectric slab (접지된 유전체층 위에 위치한 주기적인 스트립격자 구조에 의한 2차원적인 산란)

  • Ko, J.H.;Baek, W.S.;Yun, L.H.;Lee, J.I.;Cho, U.H.;Lee, C.H.;Hong, J.P.;Cho, Y.K.;Son, H.
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.10
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    • pp.2710-2723
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    • 1996
  • 2-dimensional scattering problem of electromagnetic waves by a periodic strip grating on a grounded dielectric slab in case of oblique incidence and arbitrary polarization is analyed by the vector Floquet modal expansion method. Solution convergence versus number of Chebyshev polynomial terms representing the unknown strip current density and number of space harmonics is examined, and some numerical results such as variation of power of significant space harmonics(scattered mode) are compared with those obtained by previous method. In particaluar, the relationship between Bragg blazing phonmena and characteristics mode(current) on the srip is discussed in detail.

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Synthesis, Characterization and in vitro Antibacterial Studies on Mixed Ligand Complexes of Iron(III) Based on 1,10-phenanthroline

  • Tigineh, Getinet Tamiru;Sitotaw, Getu;Workie, Amogne;Abebe, Atakilt
    • Journal of the Korean Chemical Society
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    • v.65 no.3
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    • pp.203-208
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    • 2021
  • As part of our attempt to discover novel active compounds against multi-drug resistant pathogens, we hereby report two new complexes of iron(III) with formulae: [Fe(L1)2(H2O)2]Cl3 and [Fe(L1)2(L2)(H2O)]Cl2 where L1 = 1,10-phenanthroline (C12H8N2) and L2 = guanide (C5H4N5O-). The synthesized complexes were characterized using spectroscopic analysis (ESI-MS, ICP-OES, FT-IR, and UV-Vis), cyclic voltammetry, CHN analysis, gravimetric chloride determination, melting point determination, and conductance measurement. Octahedral geometries are assigned to both complexes. In vitro antibacterial activity was tested on two Gram-positive (Staphylococcus aureus, Streptococcus epidermidis) and two Gram-negative (Escherichia coli and Klebsiella pneumoniae) bacteria using the disc diffusion method. The complexes demonstrated appreciable activity against these pathogens. Interestingly, the [Fe(L1)2(L2)(H2O)]Cl2 complex manifested a higher degree of inhibition against the drug-resistant Gram-negative bacteria than the commercially available drug, namely erythromycin.

Effect of Livestock Wastewater Addition on Hydrogen and Organic Acids Production Using Food Waste (음식물쓰레기 이용 혐기 산발효에 의한 수소 및 유기산 생산: 축산폐수 첨가 효과)

  • JANG, SUJIN;KIM, DONGHOON;LEE, MOKWON;NA, JEONGGEOL;KIM, MISUN
    • Transactions of the Korean hydrogen and new energy society
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    • v.26 no.3
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    • pp.199-205
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    • 2015
  • Organic wastes such as food waste (FW), livestock wastewater (LW), and sewage sludge (SWS) can produce hydrogen ($H_2$) by anaerobic acid fermentation. Expecially, FW which has high carbohydrate content produces $H_2$ and short chain fatty acids by indigenous $H_2$ producing microorganisms without adding inoculum, however $H_2$ production rate (HPR) and yield have to be improved to use a commercially available technology. In this study, LW was mixed to FW in different ratios (on chemical oxygen demand (COD) basis) as an auxiliary substrate. The mixture of FW and LW was pretreated at pH 2 using 6 N HCl for 12 h and then fermented at $37^{\circ}C$ for 28 h. HPR of FW, 254 mL $H_2/L/h$, was increased with the addition of LW, however, mixing ratio of LW to FW was reversely related to HPR, exhibiting HPR of 737, 733, 599, and 389 mL $H_2/L/h$ at the ratio of FW:LW=10:1, 10:2, 10:3, and 10:4 on COD basis, respectively. Maximum HPR and $H_2$ production yield of 737 $H_2/L/h$ and 1.74 mol $H_2/mol$ hexoseadded were obtained respectively at the ratio of FW:LW=10:1. Butyrate was the main organic acid produced and propionate was not detected throughout the experiment.