• 제목/요약/키워드: $D_{10}$ values

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NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH MULTIPLE VALUES

  • Li, Yuntong;Liu, Zhixiu
    • 대한수학회보
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    • 제54권2호
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    • pp.593-605
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    • 2017
  • In this paper, we consider some normality criteria concerning multiple values. Let $\mathcal{F}$ be a family of meromorphic functions defined in a domain D. Let k be a positive integer and ${\psi}(z){\not\equiv}0$, ${\infty}$ be a meromorphic function in D. If, for each $f{\in}\mathcal{F}$ and $z{\in}D$, (1) $f(z){\neq}0$, and all of whose poles are multiple; (2) all zeros of $f^{(k)}(z)-{\psi}(z)$ have multiplicities at least k + 3 in D; (3) all poles of ${\psi}(z)$ have multiplicities at most k in D, then $\mathcal{F}$ is normal in D.

Vibrations of truncated shallow and deep conical shells with non-uniform thickness

  • Kang, Jae-Hoon
    • Structural Engineering and Mechanics
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    • 제55권1호
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    • pp.29-46
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    • 2015
  • A three-dimensional (3-D) method of analysis is presented for determining the natural frequencies of a truncated shallow and deep conical shell with linearly varying thickness along the meridional direction free at its top edge and clamped at its bottom edge. Unlike conventional shell theories, which are mathematically two-dimensional (2-D), the present method is based upon the 3-D dynamic equations of elasticity. Displacement components $u_r$, $u_{\theta}$, and $u_z$ in the radial, circumferential, and axial directions, respectively, are taken to be periodic in ${\theta}$ and in time, and algebraic polynomials in the r and z directions. Strain and kinetic energies of the truncated conical shell with variable thickness are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated. The frequencies from the present 3-D method are compared with those from other 3-D finite element method and 2-D shell theories.

ON THE CONSTRUCTION OF OPTIMAL LINEAR CODES OF DIMENSION FOUR

  • Atsuya Kato;Tatsuya Maruta;Keita Nomura
    • 대한수학회보
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    • 제60권5호
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    • pp.1237-1252
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    • 2023
  • A fundamental problem in coding theory is to find nq(k, d), the minimum length n for which an [n, k, d]q code exists. We show that some q-divisible optimal linear codes of dimension 4 over 𝔽q, which are not of Belov type, can be constructed geometrically using hyperbolic quadrics in PG(3, q). We also construct some new linear codes over 𝔽q with q = 7, 8, which determine n7(4, d) for 31 values of d and n8(4, d) for 40 values of d.

ON ABSOLUTE VALUES OF 𝓠K FUNCTIONS

  • Bao, Guanlong;Lou, Zengjian;Qian, Ruishen;Wulan, Hasi
    • 대한수학회보
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    • 제53권2호
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    • pp.561-568
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    • 2016
  • In this paper, the effect of absolute values on the behavior of functions f in the spaces $\mathcal{Q}_K$ is investigated. It is clear that $g{\in}\mathcal{Q}_K({\partial}{\mathbb{D}}){\Rightarrow}{\mid}g{\mid}{\in}\mathcal{Q}_K({\partial}{\mathbb{D}})$, but the converse is not always true. For f in the Hardy space $H^2$, we give a condition involving the modulus of the function only, such that the condition together with ${\mid}f{\mid}{\in}\mathcal{Q}_K({\partial}{\mathbb{D}})$ is equivalent to $f{\in}\mathcal{Q}_K$. As an application, a new criterion for inner-outer factorisation of $\mathcal{Q}_K$ spaces is given. These results are also new for $Q_p$ spaces.

화천화강암의 산소와 수소 동위원소 조성 (Oxygen and Hydrogen Isotopic Compositions of the Hwacheon Granite)

  • 박영록;고보균
    • 암석학회지
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    • 제13권4호
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    • pp.214-223
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    • 2004
  • 중생대 쥬라기에 생성된 과알루미나질 화천화강암의 산소와 수소 안정 동위원소 조성을 알아보고, 이들 값이 다른 지역에 분포하는 쥬라기 화강암이 가지는 값과 어떠한 차이를 보이는지를 비교해보았다. 화천화강암을 구성하는 석영과 사장석은 각각 8.2에서 10.6$\textperthousand$과 5.8에서 $\delta$$^{18}$ O 값을 가지며, 화천 화강암 주위에 분포하는 호상흑운모편마암의 전암 $\delta$$^{18}$ O 값은 8.1에서 9.4사이의 값을 갖는다 화천화강암의 전암과 흑운모의 $\delta$D 값은 각각 -84에서 -113$\textperthousand$과 -107에서 -l13$\textperthousand$ 사이의 값을 갖는다. 기반암의 전암 $\delta$D 값은 -76에서 -100$\textperthousand$ 사이의 값을 갖는다. 화천화강암의 $\delta$$^{18}$ O과 $\delta$D값은 과알루미나질 화강암이 전형적으로 가지는 값에 비해 낮은 값을 가지는 특징을 보여준다. 화천화강암이 가지는 낮은 $\delta$$^{18}$ O 값은 오랜 기간 동안 이루어진 유체-암석 상호작용으로부터 기인한 것이다. 안정동위원소 모델링 결과는 약 1$\textperthousand$ 이하의 비교적 낮은 $\delta$$^{18}$ O 값을 가지는 유체가 비교적 높은 유체/암석 IB(<-6) 환경 하에서 동위원소 교환반응이 일어났음을 지시해준다. 이 유체는 천수가 화천화강암 및 주변에 분포하는 변성이질암과의 오랜 시간에 걸친 산소동위원소 반응 결과 $\delta$$^{18}$ O 값이 무거워진 유체이다.

구미지역 보육시설 유아들의 신체계측과 혈액생화학적 지표에 따른 건강상태 (Health Status by Anthropometrie Values and Serum Biochemical Indices of Preschool Children in Day-Care Centers in Gumi)

  • 신은경;이연경
    • 대한지역사회영양학회지
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    • 제10권3호
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    • pp.253-263
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    • 2005
  • This study was conducted to investigate health status of preschool children utilizing anthropometric values and serum biochemical indices. The subjects were 1,159 boys and 1,019 girls in Gumi day-care centers aged 4 to 6 years. The mean height and weight of 4, 5 and 6 year old children were 103.0 cm and 17.1 kg, 107.2 cm and 18.3 kg and 113.4 cm and 20.6 kg, respectively. By the obesity index criteria, $5\%$ of boys and $4\%$ of girls were obese whereas $10\%$ of boys and $9\%$ of girls were underweight. By the Kaup index criteria, $7\%$ of boys and $4\%$ of girls were obese. By the percentage of body fat criteria, $5\%$ of boys and girls were obese. The mean concentrations of serum total cholesterol, triglyceride, HDL-cholesterol, LDL-cholesterol, Atherogenic Index and serum glucose were 154.1-156.5 mg/dL, 80.1-81.9 mg/dL, 46.8-47.4 mg/dL, 90.9-92.8 mg/dL, 2.34-2.39 and 76.4-77.8 mg/dL, respectively. Serum triglyceride level, AI and body fat percentage of obese children were significantly higher than other children and were significantly lower in HDL-cholesterol level (p < 0.05). In addition there were significant correlation between anthropometric values and serum biochemical indices : Kaup index and obesity index were positively correlated to the systolic blood pressure and diastolic blood pressure in boys and girls (p < 0.01) and to the triglyceride concentration in boys (p < 0.05). These results indicate the need of developing and implementation of nutrition education program for preschool children to prevent further development of childhood obesity and to maintain normal serum lipid profiles.

The influence of cuttlebone on the target strength of live golden cuttlefish (Sepia esculenta) at 70 and 120 kHz

  • Lee, Daejae
    • Fisheries and Aquatic Sciences
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    • 제19권2호
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    • pp.8.1-8.11
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    • 2016
  • To quantitatively estimate the influence of cuttlebone on the target strength (TS) of golden cuttlefish, the cuttlebone was carefully extracted from 19 live cuttlefish caught using traps in the inshore waters around Geojedo, Korea, in early May 2010 and the TS was measured using split-beam echosounders (Simrad ES60 and EY500). The TS-length relationships for the cuttlefish (before the extraction of cuttlebone, Fish Aquat Sci. 17:361-7, 2014) and the corresponding cuttlebone were compared. The cuttlebone length ($L_b$) ranged from 151 to 195 mm (mean $L_b$ = 168.3 mm) and the mass ($W_b$) ranged from 29.3 to 53.2 g (mean $W_b$ = 38.8 g). The mean TS values at 70 and 120 kHz were -33.60 dB (std = 1.12 dB) and -32.24 dB (std = 1.87 dB), respectively. The mean TS values of cuttlebone were 0.19 dB and 0.04 dB lower than those of cuttlefish at 70 and 120 kHz, respectively. For 70 and 120 kHz combined, the mean TS value of cuttlebone was -32.87 dB, 0.11 dB lower than that of cuttlefish (-32.76 dB). On the other hand, the mean TS value of cuttlebone predicted by the regression ($TS_b$ = 24.86 $log_{10}$ $L_b$ - 4.86 $log_{10}$ ${\lambda}$ - 22.58, $r^2$ = 0.85, N = 38, P < 0.01) was -33.10 dB, 0.04 dB lower than that of cuttlefish predicted by the regression ($TS_c$ = 24.62 $log_{10}$ $L_c$ - 4.62 $log_{10}$ ${\lambda}$ - 22.64, $r^2$ = 0.85, N = 38, P < 0.01). That is, the contribution of cuttlebone to the cuttlefish TS determined by the measured results was slightly greater than that by the predicted results. These results suggest that cuttlebone is responsible for the TS of cuttlefish, and the contribution is estimated to be at least 99 % of the total echo strength.

The Effects of Addition Timing of NaCl and Sodium Tripolyphosphate and Cooking Rate on Pink Color in Cooked Ground Chicken Breasts

  • Bae, Su Min;Cho, Min Guk;Jeong, Jong Youn
    • 한국축산식품학회지
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    • 제40권2호
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    • pp.231-241
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    • 2020
  • The current study investigated the effects of timing of NaCl (2%) and sodium tripolyphosphate (STPP, 0.5%) addition and cooking rates on color and pigment properties of ground chicken breasts. Four treatments were tested as follows: treatment 1, no NaCl and STPP added and stored for 7 d; treatment 2, NaCl+STPP added on 0 d and stored for 7 d; treatment 3, NaCl added on 0 d and STPP added on 7 d; and treatment 4, stored for 7 d and NaCl+STPP added. All samples were cooked at a fast (5.67℃/min) or slow cooking rate (2.16℃/min). Regardless of the timing of NaCl and STPP addition, reflectance ratios of nitrosyl hemochrome, cooking yield, pH values, oxidation-reduction potential, and percent myoglobin denaturation were similar (p>0.05) across treatments 2, 3, and 4. The highest CIE a values were observed in treatment 4 (p<0.05), while treatment 2 was effective in reducing the redness in cooked chicken products. The fast cooking rate resulted in lower CIE a values and higher CIE L values and cooking yield in cooked chicken breasts compared to the slow cooking rate. Our results indicate that adding NaCl and STPP to meat, followed by storing and cooking at a fast rate, may result in inhibiting the pink color defect sporadically occurred in cooked ground chicken breasts.

Reference values of lead in blood and related factors among Korean adolescents: the Korean National Health and Nutrition Examination Survey 2010-2013

  • Choi, Min-Gyu;Park, Mi-Jung;Kim, Shin-Hye
    • Clinical and Experimental Pediatrics
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    • 제59권3호
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    • pp.114-119
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    • 2016
  • Purpose: This study aimed to assess the reference values and factors influencing blood lead levels among Korean adolescents. Methods: The study population consisted of 1,585 adolescents (801 males, 784 females; aged 10-19 years) who participated in the Korea National Health and Nutrition Examination Survey 2010-2013. We analyzed blood lead concentrations in relation to demographic/lifestyle characteristics for all participants. "Reference values" of blood lead levels were calculated as the upper limit of the 95% confidence interval of the 95th percentile. Results: The average "reference value" for blood lead concentrations among Korean adolescents was $2.25{\mu}g/dL$ ($2.49{\mu}g/dL$ for males, $2.07{\mu}g/dL$ for females), and the geometric mean of the blood lead concentrations was $1.34{\mu}g/dL$. Males had higher blood lead concentrations than females (male, $1.48{\mu}g/dL$; female, $1.19{\mu}g/dL$; P<0.001). Elementary school students had higher blood lead concentrations than junior and senior high school students ($1.44{\mu}g/dL$ vs. $1.31{\mu}g/dL$, P<0.001). Participants living in detached houses had higher blood lead concentrations than those living in apartments (P<0.001) and current smokers had higher concentrations than nonsmokers or participants with secondhand smoke exposure (P<0.05). Additionally, participants with excessive alcohol consumption had higher levels than non-drinkers (P<0.001). Conclusion: This study provides national reference data on blood lead concentrations stratified by demographic and lifestyle factors among Korean adolescents. Further studies are needed to elucidate the relationship between increased lead exposure and demographic factors including type of housing.

WDM 채널 신호의 소광비에 따른 광 위상 공액기의 최적 파라미터 값 (Optimal Parameter Values of Optical Phase Conjugator depending on Extinction Ratio of WDM Channel Signals)

  • 이성렬;이영교
    • 한국항행학회논문지
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    • 제11권2호
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    • pp.187-195
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    • 2007
  • 본 논문에서는 광섬유에서의 색 분산과 비선형효과에 의해 발생되는 신호왜곡을 보상하기 위해 광 위상 공액기를 채택한 1,000km의 전송거리를 갖는 WDM 시스템에서 모든 WDM 채널을 효과적으로 보상할 수 있는 광 위상 공액기의 최적 위치 값과 광섬유 구간의 최적분산 계수 값들을 WDM 채널 신호의 소광비에 따라 도출하였다. WDM 시스템은 40Gbps의 채널 전송률을 갖는 16개 채널로 구성되고 각 채널은 5dB, 10dB, 20dB의 소광비를 갖는 NRZ 형식으로 가정하였다. 모든 WDM 채널들의 효과적 보상을 위해서는 고려한 두 파라미터들 중 하나만을 가지고도 충분하다는 것을 확인하였다. 그리고 이들 각각의 최적 값들은 WDM 채널 신호의 소광비에 의존하지 않는다는 것을 확인하였다. 즉 소광비에 상관없이 광 위상 공액기를 496km에 위치시키거나 두 광섬유 구간의 분산 계수 차이를 0.055ps/nm/km로 하면 모든 WDM 채널들을 2dB 이내의 전력 패널티로 양호하게 전송할 수 있는 것을 확인하였다.

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