• Title/Summary/Keyword: Doubling

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ASSOUAD DIMENSION: ANTIFRACTAL METRIZATION, POROUS SETS, AND HOMOGENEOUS MEASURES

  • Luukkainen, Jouni
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.23-76
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    • 1998
  • We prove that a non-empty separable metrizable space X admits a totally bounded metric for which the metric dimension of X in Assouad's sense equals the topological dimension of X, which leads to a characterization for the latter. We also give a characterization based on this Assouad dimension for the demension (embedding dimension) of a compact set in a Euclidean space. We discuss Assouad dimension and these results in connection with porous sets and measures with the doubling property. The elementary properties of Assouad dimension are proved in an appendix.

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Intracavity frequency doubling of a tunable Ti:Sapphire laser using a lithium triborate$(LiB_3O_5, LBO)$ crystal (Lithium Triborate$(LiB_3O_5, LBO)$ 결정을 이용한 파장가변 티타늄 사파이어 레이저의 내부공진기 진동수 배가)

  • 추한태;박차곤;김규욱
    • Korean Journal of Optics and Photonics
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    • v.12 no.2
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    • pp.143-149
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    • 2001
  • We performed the intracavity frequency-doubling of a tunable continuous-wave Ti:sapphire laser using a lithium triborate $(LiB_3O_5, LBO)$ crystal. For an efficient intracavity frequency-doubling, we measured the spectral and the angular bandwidth about the $\theta$-direction of LBO crystal. The measured values at a fundamental wavelength of 800 nm were 1.54 nm.cm and 3.8 mrad.cm, respectively. As a result of an intracavity frequency-doubling, we obtained the second-harmonic generation output power of 5.3 mW at 400 nm with the full width at half maximum(FWHM) of 0.089 nm from the fundamental output power of 185 mW at 800 nm. The frequency-doubled output was tuned from 397 nm to 403 nm.403 nm.

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Output characteristics of intracavity frequency doubling of laser-diode end-pumped Nd:S-VAP laser (반도체레이저 단면여기 Nd:S-VAP 레이저의 내부공진기 제2고조파 출력 특성)

  • 박준학
    • Korean Journal of Optics and Photonics
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    • v.11 no.4
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    • pp.294-298
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    • 2000
  • The output characteristics of intracavity frequency doubling of laser-diode end-pumped Nd:S-VAP laser were investigated. Nd:S-VAP is suitable for a microchip laser medium, which has a low threshold property because of a very high value of the stimulated emission cross-section and lifetime product. The threshold energy measured was 81 J.ll. The second harmonic output energy measured was $126\mu\textrm{J}$at a pump energy of $2\mu\textrm{J}$. We described for intracavity frequency doubling by using theoretical calculations. Q-switched second harmonic energy measured was $15\mu\textrm{J}$per pulse with a pulse-width of 26 ns. at a pump energy of 2 mJ and an $M^2$ of 1.47 represented a good beam quality. ality.

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Effects of Dietary Fat Level on the Aging Process of the Fibroblast Cells and Immune Function in Rats of Different Ages (식이지방수준이 나이에 따른 흰쥐 섬유아세포의 노화과정 및 면역반응에 미치는 영향)

  • 조미숙;김화영
    • Journal of Nutrition and Health
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    • v.24 no.5
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    • pp.431-441
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    • 1991
  • To investigate the influence of age and dietary fat level on the immune function and the growing potential of the fibroblast cells, male rats of 2 month, 6 month and 30 month of age were fed either 6% or 30% fat diet for 16 weeks. The weight of thymus decreased linearly with increasing age. And this age-dependent degeneration of thymus was delayed in rats fed low fat diets. The blastogenesis of spleen lymphocytes to PHA, ConA, and PWM was decreased with increasing age, however, no effect of dietary fat level was observed. The age-related decline in ratios of PHA/ConA response may suggest that T suppressor cell activity increases with age. In cell culture system, lung fibroblast cells from 30M rats showed lower plating efficiency. longer doubling time. and shorter cumulative doubling potential than those from 2M or 6M animals. Also. the morphology of fibroblasts from 30M rats was tended to be rouned rather than flattened and more variable in size and being generally larger. wherease those from 2M and 6M rats were uniform in size and adhered tightly to the culture vessel in ordered arrays. Therefore fibroblast cell culture system tried in this study reflects the changes of cellular aging.

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Application of GTH-like algorithm to Markov modulated Brownian motion with jumps

  • Hong, Sung-Chul;Ahn, Soohan
    • Communications for Statistical Applications and Methods
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    • v.28 no.5
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    • pp.477-491
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    • 2021
  • The Markov modulated Brownian motion is a substantial generalization of the classical Brownian Motion. On the other hand, the Markovian arrival process (MAP) is a point process whose family is dense for any stochastic point process and is used to approximate complex stochastic counting processes. In this paper, we consider a superposition of the Markov modulated Brownian motion (MMBM) and the Markovian arrival process of jumps which are distributed as the bilateral ph-type distribution, the class of which is also dense in the space of distribution functions defined on the whole real line. In the model, we assume that the inter-arrival times of the MAP depend on the underlying Markov process of the MMBM. One of the subjects of this paper is introducing how to obtain the first passage probabilities of the superposed process using a stochastic doubling algorithm designed for getting the minimal solution of a nonsymmetric algebraic Riccatti equation. The other is to provide eigenvalue and eigenvector results on the superposed process to make it possible to apply the GTH-like algorithm, which improves the accuracy of the doubling algorithm.

Physiological Profile of Growing Rats: Effects of Cage Type and Cage Density

  • Yildiz, A.;Hayirli, A.;Okumus, Z.;Kaynar, O.;Kisa, F.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.2
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    • pp.263-272
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    • 2007
  • This experiment was conducted to examine the effects of cage type (CT) and cage density (CD) on physiological variables in growing rats. Sprague Dawley rats (n=108) weighing an average of 46 g were housed in metallic cage with woodchip bedding (MCWB), metallic cage with wire mesh (MCWM), and plastic shoebox with woodchip bedding (PCWB) separately by sex at normal ($160-cm^2/rat$, ND) and high ($80-cm^2/rat$, HD) CD from 3 to 10 wks of age. All cages were in dimension of $24{\times}40{\times}20$ cm ($W{\times}D{\times}H$). At the end of the experiment, blood samples were collected and 6 rats from each cage were sacrificed. No death was observed among rats at ND, whereas mortality rate at HD was 22.3% for males and 13.9% for females. Heart weight was affected by CT. Doubling CD caused 23, 11.8, 17.9, 8.6, 6.9, and 16.4% decreases in BW and weights of heart, liver, kidney, testis, and ovary, respectively. Except for adrenal gland, other organs for males were heavier than for females. Liver weight of males and females responded differently to CT and CD. Comparing with females, males had 7.3 and 5.2% heavier and 9.9% lighter liver weights in MCWB, MCWM, and PCWB, respectively. As CD doubled, liver weight for males and females decreased by 22.4 and 13.1%, respectively. Mean adrenal gland weight increased by 8.4% and decreased by 9.7% for males and females, respectively, with doubling CD. CT affected glucose, TG, Ca, and ALP levels. However, CD did not alter blood chemistry. Rats housed in metallic cages had greater neutrophil count and neutrophil:lymphocyte ratio than rats housed in plastic cages. Doubling CD caused a 24.2% increase in lymphocyte count. There were CT by CD, CT by sex, and CD by sex interaction effects on lymphocyte count. Doubling CD caused 0.1% decrease and 49.8 and 26.7% increases in lymphocyte count for rats housed in MCWB, MCWM, and PCWB, respectively. Comparing with females, lymphocyte count for males housed in MCWB, MCWM, and PCWB had 8.9 and 12.9% greater and 30.3% less lymphocyte counts, respectively. Lymphocyte count decreased by 4.12% for males, whereas it increased by 61.0% for females as CD doubled. Doubling CD resulted in 2.5 and 2.3% increases in erythrocyte count and hematocrit value. These data suggest that animals perform better in metallic cages than in plastic cages and that cage density had pronounceable effects on physiological parameters in a cage type and sex dependent-manner.

Study for Metabolism of Resistant Production in Anticancer drug Resistant Stomach Cancer Cell SNU-1 (항암제 내성 위암 세포주 SNU-1의 내성생성기전에 관한 연구)

  • Kim, Jung-Hye;Kang, Mi-Wha;Kim, Jae-Ryong
    • Journal of Yeungnam Medical Science
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    • v.6 no.2
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    • pp.195-205
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    • 1989
  • Development of drug resistance in tumors during treatment is a major factor limiting the clinical use of anticancer agents. When tumor cells acquire resistance to anticancer drug, they show cross-resistance to other antitumor agents. In the present study, SNU-1 cell was induced adriamycin $10^{-7}M$ drug resistance, SNU-1/ADR, in vitro culture system. We got the doubling time and number for viability test during 96 hours by MTT assay. To investigate the cross resistance of various anticancer drugs in human stomach cancer cell SNU-1 and SNU-1/ADR. We compared $IC_{50}$ (drug concentration of 50% reduction) and the relative resistance(RR). SNU-1/ADR was expressed multidrug resistant with vinblastine(RR ; 31.62), vincristine(RR ; 29.50), dactinomycin(RR ; 21.37), epirubicin(RR ; 17.78), daunorubicin(RR ; 14.12), adriamycin(RR ; 7.76), and etoposide(RR ; 4.46), and other drugs, 5-fluorouracil, cisplatin, cyclophosphamide, methotrexate, and aclarubicin, have not cross resistant with adriamycin. There was double minute chromosome in SNU-1/ADR by karyotyping although this change was not seen in SNU-1.

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Effects of 2-Deoxy-D-Glucose on Metabolic Status, Proliferative Capacity and Growth Rate of FSall Tumor: Observations made by In Vivo $^{31}P$-Nuclear Magnetic Resonance Spectroscopy and Flow Cytometry (2-DDG가 FSa II 종양의 성장속도와 증식 능력, 신진대사에 미치는 영향 ; $^{31}P$-자기공명 분광기와 유세포 분석기를 이용한 연구)

  • Chang Hyesook;Choi Eun Kyung;Cho Jeong Gill;Lim Tee-Hwon;Lee Tae-Keun;Yi Yun;Cho Young Joo;Kim Gon Sup
    • Radiation Oncology Journal
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    • v.9 no.1
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    • pp.1-6
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    • 1991
  • The effect of 2-deoxy-d-glucose (2-DDG) on $C_3H$ mouse fibrosarcoma(FSall) was studied. Metabolic status, especially for energy metabolism, was studied using in vivo $^{31}P$-MRS, proliferative capacity was observed on flow cytometry(FC) and growth rate was measured after transplantation of $10^6$ viable tumor cells in the dorsum of foot of $C_3Hf/Sed$ mice. One gram of 2-DDG Per kg of body weight was injected intraperitoneally on 12th day of implantation. Average tumor size on 12th day of implantion was $250mm^3$. Growth rate of Fsall tumor was measured by tumor doubling time and slope on semilog plot. After 2-DDG injection, growth rate slowed down. Tumor doubling time between tumor age 5-12 days was 0.84 days with slope 0.828 and tumor doubling time between tumor age 13-28 days was 3.2 days with slope 0.218 in control group. After 2-DDG injection, tumor doubling time was elongated to 5.1 days with slope 0.136. The effect of 2-DDG studied in vivo $^{31}P$-MRS suggested that the increase of phosphomonoester (PME) and inorganic phosphate (Pi) by increasing size of tumor, slowed down after 2-DDG injection. Flow cytometry showed significantly increased S-phase and $G_2+M$ phase fraction suggesting increased proliferative capacity of tumor cells in the presence of 2-DDG. Authors observed an interesting effect of 2-DDG on FSall tumor and attempt to utilize as an adjunct for radiotherapy.

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