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MAXIMUM MODULI OF UNIMODULAR POLYNOMIALS

  • Defant, Andreas;Garcia, Domingo;Maestre, Manuel
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.209-229
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    • 2004
  • Let $\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha},\;z\;{\in}\;{\mathbb{C}}^n$ be a unimodular m-homogeneous polynomial in n variables (i.e. $$\mid$s_{\alpha}$\mid$\;=\;1$ for all multi indices $\alpha$), and let $R\;{\subset}\;{\mathbb{C}}^n$ be a (bounded complete) Reinhardt domain. We give lower bounds for the maximum modules $sup_{z\;{\in}\;R\;$\mid$\Sigma_{$\mid$\alpha$\mid$=m}\;s_{\alpha}z^{\alpha}$\mid$$, and upper estimates for the average of these maximum moduli taken over all possible m-homogeneous Bernoulli polynomials (i.e. $s_{\alpha}\;=\;{\pm}1$ for all multi indices $\alpha$). Examples show that for a fixed degree m our estimates, for rather large classes of domains R, are asymptotically optimal in the dimension n.

Assessment of buccal bone thickness of aesthetic maxillary region: a cone-beam computed tomography study

  • Fuentes, Ramon;Flores, Tania;Navarro, Pablo;Salamanca, Carlos;Beltran, Victor;Borie, Eduardo
    • Journal of Periodontal and Implant Science
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    • v.45 no.5
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    • pp.162-168
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    • 2015
  • Purpose: The aim of this study was to analyze the anatomical dimensions of the buccal bone walls of the aesthetic maxillary region for immediate implant placement, based upon cone-beam computed tomography (CBCT) scans in a sample of adult patients. Methods: Two calibrated examiners analyzed a sample of 50 CBCT scans, performing morphometric analyses of both incisors and canines on the left and right sides. Subsequently, in the sagittal view, a line was traced through the major axis of the selected tooth. Then, a second line (E) was traced from the buccal to the palatal wall at the level of the observed bone ridges. The heights of the buccal and palatal bone ridges were determined at the major axis of the tooth. The buccal bone thickness was measured across five lines. The first was at the level of line E. The second was at the most apical point of the tooth, and the other three lines were equidistant between the apical and the cervical lines, and parallel to them. Statistical analysis was performed with a significance level of $P{\leq}0.05$ for the bone thickness means and standard deviations per tooth and patient for the five lines at varying depths. Results: The means of the buccal wall thicknesses in the central incisors, lateral incisors and canines were $1.14{\pm}0.65mm$, $0.95{\pm}0.67mm$ and $1.15{\pm}0.68mm$, respectively. Additionally, only on the left side were significant differences in some measurements of buccal bone thickness observed according to age and gender. However, age and gender did not show significant differences in heights between the palatal and buccal plates. In a few cases, the buccal wall had a greater height than the palatal wall. Conclusions: Less than 10% of sites showed more than a 2-mm thickness of the buccal bone wall, with the exception of the central incisor region, wherein 14.4% of cases were ${\geq}2mm$.

Effect of energy density and virginiamycin supplementation in diets on growth performance and digestive function of finishing steers

  • Navarrete, Juan D.;Montano, Martin F.;Raymundo, Constantino;Salinas-Chavira, Jaime;Torrentera, Noemi;Zinn, Richard A.
    • Asian-Australasian Journal of Animal Sciences
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    • v.30 no.10
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    • pp.1396-1404
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    • 2017
  • Objective: This study was determined the influence of virginiamycin supplementation on growth-performance and characteristics of digestion of cattle with decreasing dietary net energy value of the diet for maintenance ($NE_m$) from 2.22 to 2.10 Mcal/kg. Methods: Eighty crossbred beef steers ($298.2{\pm}6.3kg$) were used in a 152-d performance evaluation consisting of a 28-d adaptation period followed by a 124-d growing-finishing period. During the 124-d period steers were fed either a lesser energy dense (LED, $2.10Mcal/kg\;NE_m$) or higher energy dense (HED, $2.22Mcal/kg\;NE_m$) diet. Diets were fed with or without 28 mg/kg (dry matter [DM] basis) virginiamycin in a $2{\times}2$ factorial arrangement. Four Holstein steers ($170.4{\pm}5.6kg$) with cannulas in the rumen (3.8 cm internal diameter) and proximal duodenum were used in $4{\times}4$ Latin square experiment to study treatment effects on characteristics of digestion. Results: Neither diet energy density nor virginiamycin affected average daily gain (p>0.10). As expected, dry matter intake and gain efficiency were greater (p<0.01) for LED- than for HED-fed steers. Virginiamycin did not affect estimated net energy value of the LED diet. Virginiamycin increased estimated NE of the HED diet. During daylight hours when the temperature humidity index averaged $81.3{\pm}2.7$, virginiamycin decreased (p<0.05) ruminal temperature. Virginiamycin did not influence (p>0.10) ruminal or total tract digestion. Ruminal (p = 0.02) and total tract digestion (p<0.01) of organic matter, and digestible energy (p<0.01) were greater for HED vs LED. Ruminal microbial efficiency was lower (p<0.01) for HED vs LED diets. Conclusion: The positive effect of virginiamycin on growth performance of cattle is due to increased efficiency of energy utilization, as effects of virginiamycin on characteristics of digestion were not appreciable. Under conditions of high ambient temperature virginiamycin may reduce body temperature.

Surgical Treatment of the Aortic Dissection (대동맥박리증의 외과적 치료)

  • Jung, Jong-Pil;Song, Hyun;Cho, You-Won;Kim, Chang-Hoi;Lee, Jay-Won;Song, Meong-Gun
    • Journal of Chest Surgery
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    • v.29 no.12
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    • pp.1360-1365
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    • 1996
  • From September 1992 to May 1996, 38 patients ranging in age from 23 to 78, were operated for aortic dissection at Asan medical center There were 21 men and 17 women. The underlying aortic pathology were acute aortic dissection in 23, chronic aortic dissection in 15. Eight patients had Martian syndrome. In 34 cases of DeBakey type I, II patients, femoral artery and vein and/or right atrial auricle were used as cannulation site. With deep hypothermic c rculatory arrest (esophageal temperature 12 $\pm$ 2.5$^{\circ}C$) and retrograde cerebral perfusion of cold oxygenated blood through SVC, we replaced the ascending aorta and the part of arch if necessary. The mean duration of the total circulatory arrest time was 25 $\pm$ 1.7 mintstuts. In 4 cases of DeBakey type III patients, we replaced descending thoracic aorta or thoracoabdomlnal aorta without shunt or bypass under normothermia with an average 30: 1.5 minutesaortic cross clamp time. One death(2.6%) occurred on the twenty-second postoperative day owing to asphyxia related to ulcer bleeding. Postoperative complications were myocardial infarction with transient left peroneal palsy in 1 case, transient lower extremity weakness in 1 case and prolonged ventilatory support in 1 case. Two patients required reoperation due to retrograde extended dissection and aortic insufuciency. There was no late death with an average 25 months follow-up period.

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A Study of Influencing Factors in Acupuncture De Qi Sensation (득기 감각에 영향을 미치는 인자에 대한 연구)

  • Shin, Kyung Min;Jung, Dal Lim;Kim, Eun Jung;Lee, Seung Deok
    • The Journal of Korean Medicine
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    • v.34 no.1
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    • pp.15-28
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    • 2013
  • Objectives: The purpose of this study was to investigate the differences in kind, intensity and depth of de Qi sensation by patients' gender, age, BMI and sensitivity. Methods: Sixty-four healthy volunteers (mean age $26.51{\pm}4.72$, range 22-39) who had been studying anatomy, meridianology, acupuncture & moxibustion for more than five years at Dongguk University, Go-yang, Korea, were invited to take part in an investigation of the sensations associated with acupuncture needling. Needling was self-administered on Hegu (LI4) in the hand and Zusanli (ST36) in the leg randomly. After obtaining de Qi, the participants were asked the kind, intensity and depth of de Qi sensation. Results: There was no statistically significant difference in the kind of de Qi sensation found by acupoints and needling methods (p>0.05). Hegu (LI4) was found to be significantly higher in the intensity (p<0.001), and the depth of de Qi sensation was significantly higher in Zusanli (ST36) than Hegu (LI4) (p<0.001). There was statistically significant difference found in the intensity of de Qi sensation by depth and sensitivity (p<0.05). In the depth of de Qi sensation, there was statistically significant difference found by sensitivity (p<0.05). In de Qi sensation of practitioners, there was statistically significant difference found by gender, BMI, the intensity of de Qi sensation (VAS) and sensitivity. Conclusions: Further study involving acupuncture de Qi sensation and the influencing factors is needed.

차세대 위성용 탑재컴퓨터 설계

  • Kwon, Ki-Ho;Kim, Day-Young;Choi, Seung-Woon;Lee, Yun-Ki;Lee, Jong-In;Kim, Hak-Jung
    • Aerospace Engineering and Technology
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    • v.4 no.2
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    • pp.79-87
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    • 2005
  • This paper describes a new on-board computer design for the next generation satellite. The new on-board computer utilizes centralized processing architecture with MCMERC325C CPU based on functional modular design concepts. The on-board computer consists of PM32 Module, TC-TM Module, IO Module and Power module. The IEEE-1355 DS/DE, or SpaceWire, provides a standard communication interface between module. It also provides simple cross-strap design for redundancy management and increases re-usability of the modules.

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Silicon-based 0.69-inch AMOEL Microdisplay with Integrated Driver Circuits

  • Na, Young-Sun;Kwon, Oh-Kyong
    • Journal of Information Display
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    • v.3 no.3
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    • pp.35-43
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    • 2002
  • Silicon-based 0.69-inch AMOEL microdisplay with integrated driver and timing controller circuits for microdisplay applications has been developed using 0.35 ${\mu}m$ l-poly 4-metal standard CMOS process with 5 V CMOS devices and CMP (Chemical Mechanical Polishing) technology. To reduce the large data programming time consumed in a conventional current programming pixel circuit technique and to achieve uniform display, de-amplifying current mirror pixel circuit and the current-mode data driver circuit with threshold roltage compensation are proposed. The proposed current-mode data driver circuit is inherently immune to the ground-bouncing effect. The Monte-Carlo simulation results show that the proposed current-mode data driver circuit has channel-to-channel non-uniformity of less than ${\pm}$0.6 LSB under ${\pm}$70 mV threshold voltage variaions for both NMOS and PMOS transistors, which gives very good display uniformity.

Effect of Lysine to Digestible Energy Ratio on Growth Performance and Carcass Characteristics in Finishing Pigs

  • Cho, S.B.;Han, In-K.;Kim, Y.Y.;Park, S.K.;Hwang, O.H.;Choi, C.W.;Yang, S.H.;Park, K.H.;Choi, D.Y.;Yoo, Y.H.
    • Asian-Australasian Journal of Animal Sciences
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    • v.25 no.11
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    • pp.1582-1587
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    • 2012
  • This experiment was performed to investigate the effects of lysine (Lys) to DE ratio on growth performance, and carcass characterics in finishing barrows. Ninety six cross-bred finishing barrows ((Landrace${\times}$Yorkshire)${\times}$Duroc, average BW $58.25{\pm}0.48$ kg) were assigned as a randomized complete block design by 2 energy levels and 4 Lys:DE ratios on the basis of BW to one of 8 treatments with 3 replications with 4 animals per pen. The levels of DE and Lys:DE ratio for each treatment were i) DE 3.35 Mcal/kg, 1.5 g Lys/Mcal DE, ii) DE 3.35 Mcal/kg, 1.8 g Lys/Mcal DE, iii) DE 3.35 Mcal/kg, 2.1 g Lys/Mcal DE, iv) DE 3.35 Mcal/kg, 2.4 g Lys/Mcal DE, v) DE 3.60 Mcal/kg, 1.5 g Lys/Mcal DE, vi) DE 3.60 Mcal/kg, 1.8 g Lys/Mcal DE, vii) DE 3.60 Mcal/kg, 2.1 g Lys/Mcal DE, viii) DE 3.60 Mcal/kg, 2.4 g Lys/Mcal DE. During finishing period from 58 kg to 103 kg of BW, increased energy density in the diet increased (p<0.05) ADG and gain:feed ratio, but did not influence ADFI. As Lys:DE ratio was increased, ADG, ADFI and gain:feed ratio were improved in finishing barrows (p<0.05). There were positive interactions (p<0.05) between carcass weight, grade, and backfat thickness and energy density and Lys level (p<0.05). In conclusion, data from our current study suggest that maximum yields including ADG, gain:feed ratio, carcass weight and grade can be achieved by administrating finishing pigs with an ideal Lys:DE ratio, Lys 2.1 g/DE Mcal.

Relation of Alcohol/Tobacco use with Metastasis, Hormonal (Estrogen and Progesterone) Receptor Status and c-erbB2 Protein in Mammary Ductal Carcinoma

  • Leon-Hernandez, Saul Renan;Padilla, Eleazar Lara;Algara, Alfredo Cortes;Rodriguez, Noemi Cardenas;Sanchez, Esau Floriano;Cruz, Jaime Lopez;Barradas, Cesar Miguel Mejia;Bandala, Cindy
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.14
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    • pp.5709-5714
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    • 2014
  • Background: An association between alcohol/tobacco use and risk of metastasis in breast cancer has been clearly shown. Materials and Methods: The present study explored, in 48 samples of tissue from mammary ductal carcinoma (taken from Mexican women with an average age of $58.2{\pm}10.9$ years), the association of risk of metastasis with the status of hormonal receptors and the c-erbB2 protein (by immunohistochemistry) as well as clinical, histopathological and sociodemographic factors. Results: Of 48 patients, 41.6% (20/48) presented with metastasis, 43.8% were positive for the estrogen receptor (RE+), 31.3% for the progesterone receptor (RP+) and 47.7% for c-erbB2 (c-erbB2+). The following combinations were found: RE+/RP+/c-erbB2+ 8.3%, RE+/RP+ 22.9%, RE+/RP- 20.8%, RE-/RP+ 8.3%, RE-/RP-/c-erbB2- 22.9% and RE-/RP- 47.8%. There were 12 patients who used alcohol/tobacco, of which 91.6% did not present metastasis and 81.9% were RE-/RP-. Compared to the RE-/RP-/c-erbB2+, the RE+/RP+/c-erbB2+ group had a 15-fold greater risk for metastasis (95%CI, 0.9-228.8, p=0.05). The carriers of the double negative hormonal receptors had a 4.7 fold greater probability of being (or having been) smokers or drinkers (95%CI, 1.0-20.4, p = 0.03). Conclusions: There was a clear protective effect of using alcohol and/or tobacco, in the cases included in the present study of mammary ductal carcinoma, associated with double negative hormonal receptors. However, this association could be due to a protective factor not measured (Neyman bias) or to a bias inherent in the rate of hospitalization (Berkson fallacy). This question should be explored in a broad prospective longitudinal study.

Prosthetic misfit of implant-supported prosthesis obtained by an alternative section method

  • Tiossi, Rodrigo;Falcao-Filho, Hilmo Barreto Leite;De Aguiar, Fabio Afranio Junior;Rodrigues, Renata Cristina Silveira;De Mattos, Maria da Gloria Chiarello;Ribeiro, Ricardo Faria
    • The Journal of Advanced Prosthodontics
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    • v.4 no.2
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    • pp.89-92
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    • 2012
  • PURPOSE. Adequate passive-fitting of one-piece cast 3-element implant-supported frameworks is hard to achieve. This short communication aims to present an alternative method for section of one-piece cast frameworks and for casting implant-supported frameworks. MATERIALS AND METHODS. Three-unit implant-supported nickel-chromium (Ni-Cr) frameworks were tested for vertical misfit (n = 6). The frameworks were cast as one-piece (Group A) and later transversally sectioned through a diagonal axis (Group B) and compared to frameworks that were cast diagonally separated (Group C). All separated frameworks were laser welded. Only one side of the frameworks was screwed. RESULTS. The results on the tightened side were significantly lower in Group C ($6.43{\pm}3.24{\mu}m$) when compared to Groups A ($16.50{\pm}7.55{\mu}m$) and B ($16.27{\pm}1.71{\mu}m$) ($P$ <.05). On the opposite side, the diagonal section of the one-piece castings for laser welding showed significant improvement in the levels of misfit of the frameworks (Group A, $58.66{\pm}14.30{\mu}m$; Group B, $39.48{\pm}12.03{\mu}m$; Group C, $23.13{\pm}8.24{\mu}m$) ($P$ <.05). CONCLUSION. Casting diagonally sectioned frameworks lowers the misfit levels. Lower misfit levels for the frameworks can be achieved by diagonally sectioning one-piece frameworks.