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NUMERICAL IMPLEMENTATION OF THE QMR ALGORITHM BY USING DISCRETE STOCHASTIC ARITHMETIC

  • TOUTOUNIAN FAEZEH;KHOJASTEH SALKUYEH DAVOD;ASADI BAHRAM
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.457-473
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    • 2005
  • In each step of the quasi-minimal residual (QMR) method which uses a look-ahead variant of the nonsymmetric Lanczos process to generate basis vectors for the Krylov subspaces induced by A, it is necessary to decide whether to construct the Lanczos vectors $v_{n+l}\;and\;w{n+l}$ as regular or inner vectors. For a regular step it is necessary that $D_k\;=\;W^{T}_{k}V_{k}$ is nonsingular. Therefore, in the floating-point arithmetic, the smallest singular value of matrix $D_k$, ${\sigma}_min(D_k)$, is computed and an inner step is performed if $\sigma_{min}(D_k)<{\epsilon}$, where $\epsilon$ is a suitably chosen tolerance. In practice it is absolutely impossible to choose correctly the value of the tolerance $\epsilon$. The subject of this paper is to show how discrete stochastic arithmetic remedies the problem of this tolerance, as well as the problem of the other tolerances which are needed in the other checks of the QMR method with the estimation of the accuracy of some intermediate results. Numerical examples are used to show the good numerical properties.

Effect of Restricted Feed Intake on Early Reproductive Development in Large White Gilts

  • Gaughan, John B.
    • Asian-Australasian Journal of Animal Sciences
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    • v.14 no.11
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    • pp.1534-1541
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    • 2001
  • Forty-five Large White gilts were used to study the effect of energy intake from 28 to 176 d of age on body composition and reproductive development. From 28 to 60 d, the gilts were fed ad libitum a 16.6 MJ DE/kg, 24% crude protein and 1.3% total lysine diet. From 61 d of age three dietary treatments were used; 1) ad libitum access to feed (15.6 MJ DE/kg, 21% crude protein and 1.07% total lysine) (H), 2) feed offered at 75% (M) of the previous days intake of H, and 3) feed offered at 60% (L) of the previous days intake of H. ADG from 61 to 176 d of age was (p<0.05) affected by treatment. Although live weight at 176 d of age did not differ (p>0.1) the H gilts had higher (p<0.08) carcass weights than the M or L gilts. Back fat depths were similar (p>0.1) for all treatments at 115 d of age, however by 176 d of age M and H gilts were fatter (p<0.1) than L gilts. The mean lipid deposition (LD) from 115 to 176 d of age for L gilts (78.9 g/d) was less (p<0.05) than for M gilts (143.6 g/d) and H gilts (135.6 g/d). There were no differences between treatments for protein deposition (PD) over the same period. More (p<0.05) H gilts (n=8) attained puberty (first observed estrus) than either M gilts or L gilts (n=4 for both). Follicle numbers were similar (p>0.1) across treatments. For gilts that attained puberty, H gilts had fewer (p<0.05) follicles (13.5) than M gilts (19.7) and L gilts (21.3). For gilts with follicular development, H gilts had the heaviest (458.7 g) reproductive tract weight (RTW). However, for those that attained puberty, L gilts had the heaviest RTW. RTW were lowest for those with no follicular development. Energy restriction had a negative impact on puberty attainment, i.e. it took longer to reach puberty. However, for gilts that attained puberty, the number of follicles was greater for those on r feed intakes. It would appear that rate of fat deposition, but not necessarily the total amount of fat, plays an important role in puberty attainment.

CONDITIONAL FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTIONS OF UNBOUNDED FUNCTIONS ON A GENERALIZED WIENER SPACE

  • Cho, Dong Hyun
    • Journal of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1105-1127
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    • 2013
  • Let C[0, $t$] denote the function space of real-valued continuous paths on [0, $t$]. Define $X_n\;:\;C[0,t]{\rightarrow}\mathbb{R}^{n+1}$ and $X_{n+1}\;:\;C[0,t]{\rightarrow}\mathbb{R}^{n+2}$ by $X_n(x)=(x(t_0),x(t_1),{\ldots},x(t_n))$ and $X_{n+1}(x)=(x(t_0),x(t_1),{\ldots},x(t_n),x(t_{n+1}))$, respectively, where $0=t_0 <; t_1 <{\ldots} < t_n < t_{n+1}=t$. In the present paper, using simple formulas for the conditional expectations with the conditioning functions $X_n$ and $X_{n+1}$, we evaluate the $L_p(1{\leq}p{\leq}{\infty})$-analytic conditional Fourier-Feynman transforms and the conditional convolution products of the functions, which have the form $fr((v_1,x),{\ldots},(v_r,x)){\int}_{L_2}_{[0,t]}\exp\{i(v,x)\}d{\sigma}(v)$ for $x{\in}C[0,t]$, where $\{v_1,{\ldots},v_r\}$ is an orthonormal subset of $L_2[0,t]$, $f_r{\in}L_p(\mathbb{R}^r)$, and ${\sigma}$ is the complex Borel measure of bounded variation on $L_2[0,t]$. We then investigate the inverse conditional Fourier-Feynman transforms of the function and prove that the analytic conditional Fourier-Feynman transforms of the conditional convolution products for the functions can be expressed by the products of the analytic conditional Fourier-Feynman transform of each function.

Nutrient Uptake Rate, Growth and Yield of Strawberry in Aquaponics (아쿠아포닉스 재배에서 딸기의 양분흡수율, 생육 및 수량)

  • Min-Kyung Kim;Su-Hyun Choi;Seo-A Yoon;Jong-Nam Lee;Eun-Young Choi
    • Journal of Bio-Environment Control
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    • v.33 no.1
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    • pp.55-62
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    • 2024
  • This study aimed to compare the nutrient uptake rate, growth and yield of strawberry grown under the aquaponic and hydroponic systems in a plant factory. For aquaculture, 12 of fish (Cyprinus carpio cv. Koi) were raised in an aquaponics tank (W 0.7 m × L 1.5 m × H 0.45 m, 472.5 L) filled with 367.5L of water at a density of 5.44 kg·m-3. The 30 seedlings of strawberry were planted in ports filled with perlite substrate and then were placed on the bed (W 0.7 m × L 1.5 m × H 0.22 m) at the top of the aquaponics system, and the 30 seedlings were planted in net-pots and then placed on the holes of acrylic plates (140 cm × 60 cm, Ø80 mm) on the bed (W 0.7 m × L 1.5 m × H 0.22 m) at the deep flow technique (DFT)- hydroponics. The pH and EC of the aquaponic solution was ranged from 4.3 to 6.9 and 0.32 to 1.14 dS·m-1, respectively, while those of hydroponics were ranged from 5.1 to 7.5 and 1.0-1.8 dS·m-1, respectively. The NO3-N and NH4-N concentration of the aquaponic solution were higher about 3.6 and 2.2 me·L-1 than those of the standard hydroponic solution for strawberry cultivation. The P, Ca, Mg, and S ions in the aquaponic solution were also higher about 0.76, 3.1, 0.8, and 0.9 me·L-1 than those of standard hydroponic solution, respectively, while the K and Fe were lower about 0.8 me·L-1 and 0.5 mg·L-1, respectively. The mineral contents of the strawberry leaves grown on aquaponics did not differ from that of hydroponics, and K content in the leaves were in an appropriate range. Uptake rates of T-N and P between the 58 and 98 days after transplant (DAT) were 1.5 and 1.9-fold higher in the aquaponics than those of hydroponics, respectively with no significant difference in the uptake rate of K. The crown diameter, plant height, and leaf length and width in the 98 DAT were significantly higher in aquaponics. The number of fruits per plant was significantly higher in aquaponics than those in hydroponics, and the fresh and dry weights of fruit and length and width of fruit were significantly higher in hydroponics. The results suggest that plants in aquaponics continuously utilize fertilizer components of solid particles from fish and feed wastes.

Planar Type n-Way Power Divider using 2 Section (2구간을 사용한 평면형 n-방향 전력분배기)

  • 김경환;조영송;황충선;신철재
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.6 no.1
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    • pp.28-36
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    • 1995
  • In this paper, a design method of multiple n-way low loss power divider for x-band is propossed. To decrease loss, only two-stages of transmission lines are used with isolation resistors for match. Ex- perimental results for 3-way and 4-way power dividers have the divided power of 5.54~6.17dB and 6.76~7.37 dB, the return loss of more than 17dB and 12dB, and the isolation of more than 18dB and 10dB at center frequency, respectively, The measured results show good agreement with the theoretical analysis.

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The Fabrication and Electrical Characteristics of Planar Multi-Quantum well (MQW) Avalanche, MQW-pn, and p-i-n Photodiode Implantd with Oxygen for Electrical Isolation (Oxygen 이온 주입의 전기적 고립을 통한 평면형 다중 양자 우물 구조의 애벌런치 & pn 및 p - i- n광 다이오드의 제작 및 전기적 특성)

  • ;;D.Sivco;D.L.Jacobsen;A.Y.cho
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.9
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    • pp.43-49
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    • 1997
  • The dependence of the electrical properties in planar MQW - APD & pn, and p - i - n photodiode implanted with oxygen on the annealing emperatures and ion dose has been investigated. The oxygen implantation was performed for inter-device isolation. The leakage current of as-impanted p-i-n photodiode obtained was less than 50 nA. An annelaing temperature dependence study shows an abrupt increase of leakge current at 600.deg.C for all devices under study. This indicates that donor complex centers introduced by the chemical activity of oxygen increase with increasing annelaing temperatures. Furthermore, leakage current was highly correlated with oxygen dose due to th eimplanted related defects.

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Effects of heavy metal lead on differential cell counts in occupationally-exposed subjects from Saudi Arabia

  • Abjal P. Shaik;Abbas H. Alsaeed;Asma S. Shaik;Abdullah A. Alyousef;Vamsee K. Bammidi;Kiranmaye Sampathirao
    • Advances in environmental research
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    • v.11 no.1
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    • pp.31-38
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    • 2022
  • The current observational epidemiological study analyzed blood lead levels (BLLs) in occupationally exposed workers from Riyadh region, Saudi Arabia and correlated them with the alterations in the differential cell populations of the WBC panel (lymphocytes [Lym %], mixed [Mid %] cells, and neutrophils [Neu %]). In addition, we examined the effect of confounding factors and their relation to BLLs. BLLs were estimated using the LeadCare II analyzer and hematological parameters using the ADVIA 120 analyser. An inferential analysis was conducted to detect association between the observations and the subjects' clinical characateristics. A total of 132 male subjects were included in the final analyses. Based on CDC guidelines, the subjects were categorized as Group I (BLL <10 ㎍/dL; n=118) or Group II (BLL >10 ㎍/dL; n=14) with average BLLs of 4.4 ㎍/dL and 18.1 ㎍/dL, respectively (p <0.0001). The percentages of Mid cells (p <0.0001) and neutrophils (p=0.048), were significantly altered in subjects with High BLL. A regression analysis indicated that subjects > 50 years of age had significantly higher BLLs (53.2 ㎍/dL) than younger age sub-groups (p <0.0001). Age, education, and profession were significant predictors for lead toxicity. Pb exposure is a major public health issue in Saudi Arabia and calls for further investigations on the cellular and molecular effects on hematological system.

ON THE MARTINGALE EXTENSION OF LIMITING DIFFUSION IN POPULATION GENETICS

  • Choi, Won
    • Korean Journal of Mathematics
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    • v.22 no.1
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    • pp.29-36
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    • 2014
  • The limiting diffusion of special diploid model can be defined as a discrete generator for the rescaled Markov chain. Choi([2]) defined the operator of projection $S_t$ on limiting diffusion and new measure $dQ=S_tdP$. and showed the martingale property on this operator and measure. Let $P_{\rho}$ be the unique solution of the martingale problem for $\mathcal{L}_0$ starting at ${\rho}$ and ${\pi}_1,{\pi}_2,{\cdots},{\pi}_n$ the projection of $E^n$ on $x_1,x_2,{\cdots},x_n$. In this note we define $$dQ_{\rho}=S_tdP_{\rho}$$ and show that $Q_{\rho}$ solves the martingale problem for $\mathcal{L}_{\pi}$ starting at ${\rho}$.

Mass Balance of Pollutants at a Paddy Field Area During Irrigation Period (관개기 광역논에서의 오염물질의 수지(지역환경 \circled3))

  • 오승영;김진수;김규성
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2000.10a
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    • pp.617-622
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    • 2000
  • Concentration of pollutants and discharge were monitored regularly at paddy field area during irrigation periods. The amounts of irrigation water during irrigation water during irrigation periods in 1999 were 3690mm. The concentration of pollutants in ponded water are high during fertilizer application period. The ratio of discharge of direct runoff Q$\_$D/ to the total runoff is 9%. The ratios of the load of direct runoff L$\_$D/ to the total load L$\_$T/ are 6% for T-N, 16% for T-P and 16% for COD. It was found that the ratios of the concentration are 0.7 for T-N, 1.8 for T-P and 1.9 for COD. The unit load of T-N, T-P and COD during irrigation periods were 12.1kg/㏊, 0.42kg/㏊ and 85.7kg/㏊, respectively

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Comparison of three analytical methods for PCBs-containing liquid wastes (폴리염화비페닐류 함유 액상폐기물 시험방법별 분석결과 비교)

  • Kim, Kyeo-Keun;Yoon, Seong-Kyu;Bae, Woo-Keun
    • Analytical Science and Technology
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    • v.23 no.3
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    • pp.278-283
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    • 2010
  • This study was performed to compare the analytical results among L2000DX and two GC/ECD methods (rapid and conventional). 15 samples of transformer oils were collected to compare the analytical results. In the analytical results of PCBs-containing transformer oil, the PCBs concentrations were in the range of 4.4 mg/L to 182.8 mg/L with L2000DX, N.D. to 14.63 mg/L with conventional GC/ECD, and N.D. to 13.03 mg/L using rapid GC/ECD. The PCB concentrations detected with the L2000DX showed a large difference to those detected with GC/ECD methods. Otherwise, little difference was shown between the two GC/ECD methods at a concentration range lower than 4 mg/L, although the rapid GC/ECD method tended to detect a slightly lower concentration near the regulation criteria of Korea for 2 mg/L.