• 제목/요약/키워드: $C_{}$ f(mean)/

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NEW BANACH SPACES DEFINED BY THE DOMAIN OF RIESZ-FIBONACCI MATRIX

  • Alp, Pinar Zengin;Kara, Emrah Evren
    • Korean Journal of Mathematics
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    • 제29권4호
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    • pp.665-677
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    • 2021
  • The main object of this study is to introduce the spaces $c_0({\hat{F}^q)$ and $c({\hat{F}^q)$ derived by the matrix ${\hat{F}^q$ which is the multiplication of Riesz matrix and Fibonacci matrix. Moreover, we find the 𝛼-, 𝛽-, 𝛾- duals of these spaces and give the characterization of matrix classes (${\Lambda}({\hat{F}^q)$, Ω) and (Ω, ${\Lambda}({\hat{F}^q)$) for 𝚲 ∈ {c0, c} and Ω ∈ {ℓ1, c0, c, ℓ}.

TWISTED QUADRATIC MOMENTS FOR DIRICHLET L-FUNCTIONS

  • LOUBOUTIN, STEPHANE R.
    • 대한수학회보
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    • 제52권6호
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    • pp.2095-2105
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    • 2015
  • Given c, a positive integer, we set. $$M(f,c):=\frac{2}{{\phi}(f)}\sum_{{\chi}{\in}X^-_f}{\chi}(c)|L(1,{\chi})|^2$$, where $X^-_f$ is the set of the $\phi$(f)/2 odd Dirichlet characters mod f > 2, with gcd(f, c) = 1. We point out several mistakes in recently published papers and we give explicit closed formulas for the f's such that their prime divisors are all equal to ${\pm}1$ modulo c. As a Corollary, we obtain closed formulas for M(f, c) for c $\in$ {1, 2, 3, 4, 5, 6, 8, 10}. We also discuss the case of twisted quadratic moments for primitive characters.

Role of Berberis lycium in Reducing Serum Cholesterol in Broilers

  • Chand, N.;Durrani, F.R.;Qureshi, M.S.;Durrani, Z.
    • Asian-Australasian Journal of Animal Sciences
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    • 제20권4호
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    • pp.563-568
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    • 2007
  • This study was planned to investigate the role of Berberis lycium in reducing serum cholesterol in broilers. Six experimental rations designated as A, B, C, D, E and F having 0, 0.5, 1.0, 1.5, 2.0 and 2.5% Berberis lycium were fed to 240 broiler chicks, randomly distributed into 24 replicates, so as to have 4 replicates per group and 10 chicks per replicate. The experiment lasted for 35 days. Average serum total cholesterol, triglyceride, high density lipoprotein (HDL) and low density lipoprotein (LDL) were used as criteria of response. Average total serum cholesterol per chick was 129.33, 120.50, 116.50, 113.00, 101.67 and 114.00 mg/dl for group A, B, C, D, E and F respectively. Total serum cholesterol showed decreasing trend with the increasing level of Berberis lycium unto 2% (p<0.05). Mean serum triglyceride level per chick was 60.00, 58.17, 58.00, 55.33, 50.17 and 48.50 mg/dl for group A, B, C, D, E and F respectively. Mean serum triglyceride showed decreasing trend with the increasing level of Berberis lycium (p<0.05). Serum triglyceride was significantly lower in group F than other groups. Mean HDL per chick for the six experimental groups A, B, C, D, E and F was 52.08, 53.42, 60.42, 62.25, 62.92 and 54.50 mg/dl respectively. HDL showed increasing trend with the increase in the level of Berberis lycium unto 2%. The average serum LDL per chick was 65.25, 55.45, 44.48, 39.68, 28.72 and 49.80 mg/dl for group A, B, C, D, E and F respectively. LDL also showed decreasing trend with the increase in the level of Berberis lycium unto 2% (p<0.05). It was concluded that Berberis lycium added to feed at the rate of 2.0% can be used in broiler feed for reducing serum total cholesterol, triglyceride and LDL and increasing HDL.

Isometries of a Subalgebra of C(1)[0, 1]

  • Lee, Yang-Hi
    • 충청수학회지
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    • 제4권1호
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    • pp.61-69
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    • 1991
  • By $C^{(1)}$[0, 1] we denote the Banach algebra of complex valued continuously differentiable functions on [0, 1] with norm given by $${\parallel}f{\parallel}=\sup_{x{\in}[0,1]}({\mid}f(x){\mid}+{\mid}f^{\prime}(x){\mid})\text{ for }f{\in}C^{(1)}$$. By A we denote the sub algebra of $C^{(1)}$ defined by $$A=\{f{\in}C^{(1)}:f(0)=f(1)\text{ and }f^{\prime}(0)=f^{\prime}(1)\}$$. By an isometry of A we mean a norm-preserving linear map of A onto itself. The purpose of this article is to describe the isometries of A. More precisely, we show tht any isometry of A is induced by a point map of the interval [0, 1] onto itself.

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Mathematical explanation on the POD applications for wind pressure fields with or without mean value components

  • Zhang, Jun-Feng;Ge, Yao-Jun;Zhao, Lin;Chen, Huai
    • Wind and Structures
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    • 제23권4호
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    • pp.367-383
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    • 2016
  • The influence mechanism of mean value components, noted as $P_0$, on POD applications for complete random fields $P_C(t)$ and fluctuating random fields $P_F(t)$ are illustrated mathematically. The critical philosophy of the illustration is introduction of a new matrix, defined as the correlation function matrix of $P_0$, which connect the correlation function matrix of $P_C(t)$ and $P_F(t)$, and their POD results. Then, POD analyses for several different wind pressure fields were presented comparatively as validation. It's inevitable mathematically that the first eigenmode of $P_C(t)$ resembles the distribution of $P_0$ and the first eigenvalue of $P_C(t)$ is close to the energy of $P_0$, due to similarity of the correlation function matrixs of $P_C(t)$ and $P_0$. However, the viewpoint is not rigorous mathematically that the first mode represents the mean pressure and the following modes represent the fluctuating pressure when $P_C(t)$ are employed in POD application. When $P_C(t)$ are employed, POD results of all modes would be distorted by the mean value components, and it's impossible to identify $P_0$ and $P_F(t)$ separately. Consequently, characteristics of the fluctuating component, which is always the primary concern in wind pressure field analysis, can only be precisely identified with $P_0$ excluded in POD.

양파와 파간의 종간잡종 F1과 여교잡계통의 핵 DNA 함량 (Variation of Nuclear DNA Content in Interspecific Allium cepa L.×A. fistulosum L. hybrids and Their Successive Backcross Lines)

  • 김철우;김화영;이을태;최인후;방진기
    • 한국육종학회지
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    • 제41권4호
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    • pp.463-467
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    • 2009
  • Allium 속 근연종인 파와 양파간 종간교잡을 이용하여 양파로부터 새로운 형질을 도입하는 과정에서 유래되는 종간교잡 F1과 여교잡 세대들의 게놈크기의 변화를 flow cytometry를 이용하여 측정한 결과 다음과 같은 결과를 얻었다. 1. 양파와 파의 종간교잡 F1의 식물학적 특성은 양친의 중간형을 보였으나 여교잡이 진전됨에 따라 반복친인 파의 표현형이 우세하였다. flow cytometry를 이용하여 2C nuclear DNA content을 측정한 결과 $F_1$은 양친에 비해 오히려 증가하였으나 여교잡이 진행됨에 따라 급속히 감소하여 $BC_2F_1$에서는 반복친과 비슷한 수준으로 감소하였다. 여교잡세대의 자식인 $BC_1F_2$은 반복친과 비슷한 $23.1{\pm}1.0pg$으로 측정되었으나 $BC_2F_2$$22.9{\pm}0.4pg$으로 반복친의 2C nuclear DNA content인 $23.2{\pm}0.2pg$ 보다 오히려 감소하였다.

HOLOMORPHIC MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL OF ℂn

  • Kwon, Ern Gun;Cho, Hong Rae;Koo, Hyungwoon
    • 대한수학회지
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    • 제50권1호
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    • pp.189-202
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    • 2013
  • On the unit ball of $\mathbb{C}^n$, the space of those holomorphic functions satisfying the mean Lipschitz condition $${\int}_0^1\;{\omega}_p(t,f)^q\frac{dt}{t^1+{\alpha}q}\;<\;{\infty}$$ is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ${\omega}_p(t,f)$ denotes the $L^p$ modulus of continuity defined in terms of the unitary transformations of $\mathbb{C}^n$.

에어로빅복의 소재 차이에 따른 착용감에 관한 연구 (A Study on Wearing Sensation in Accordance with difference in Materials of Aerobic Wear)

  • 이미경;류숙희
    • 한국의류학회지
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    • 제22권1호
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    • pp.116-126
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    • 1998
  • This study was conducted to examine the effect of difference in materials of aerobic wear on both human body's physiological reactions and subjective wearing sensation by comparing and analysing not only cotton sparidex A, B and C but nylon spandex D, E and F used as actually wearing materials. The rectal temperature of type A and I remained at high degree, the type C was higher from after high-speed running but dropped sharply when taking a break finally. Both skin temperature and mean skin temperature dropped sharply due to sweat occurred during physical exercise, and then rose slowly when taking a break. Type A -D and B-I showed that the mean skin temperature remained at high degree when wearing a cotton spandex. Type C's temperature within its aerobic wear was lower than type F while its relative humidity was higher than type F. Wearing sensation showed a change similar to wearing, particularly, which was remarkable in type B-E. Also, it was shown that humidity sensation, tactile sensation and comfort sensation were good when wearing the cotton spandex.

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4밸브 디젤기관의 흡기포트 편심과 두 흡기포트 사이의 격막이 실린더 내 선회 특성에 미치는 영향에 관한 연구 (A study on the effects of intake port eccentricity and a partition between the two intake ports on the in-cylinder swirl characteristics in a valve diesel engine)

  • 이지근;강신재;노병준
    • 대한기계학회논문집B
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    • 제21권7호
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    • pp.948-961
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    • 1997
  • The effects of intake port eccentricity and a partition between the two intake ports on the incylinder swirl characteristics in a 4 valve diesel engine having the two intake ports, one is a helical intake port and the other is a tangential intake port, were investigated by using the impulse swirl meter(ISM) in a steady flow test rig. Mean flow coefficient ( $C_{f(mean)}$, swirl ratio ( $R_{s}$) and the mass flowrate through the two intake ports with and without intake port partition were measured. The results showed that the characteristics of in-cylinder swirl ratio formed by a 4-valve cylinder head were largely affected by valve eccentricity ratio ( $N_{y}$) and the existence of an intake port partition between the two intake ports. Mean flow coefficient ( $C_{f(mean)}$) increases and swirl ratio ( $R_{s}$) decreases in case of being the partition between the two intake ports. And also the mass flowrate through the tangential intake port is 19.0% and 7.7% more than that of the helical intake port in case of the two intake ports with and without partition respectively.ively.

토양내(土壤內) 식물(植物) 병원균(病原菌)의 발병억제(發病抑制) 및 유발성질(誘發性質) (Nature of Suppressiveness and Conduciveness of Some plant pathogens in Soils)

  • 심재욱;이민웅
    • 한국균학회지
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    • 제18권3호
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    • pp.164-177
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    • 1990
  • 인삼(人蔘)(Panax ginseng C. A. Meyer)의 증산을 제한하는데 가장 큰 요인(要因)은 연작장해이므로 인삼(人蔘)의 증산에 기여할 수 있는 기초자료를 얻기위해 조사(調査)를 실시하였다. 1. 토양(土壤) pH가 F. solani 및 C. destructans의 포자발아(胞子發芽) 그리고 R. solani의 균사생장(菌絲生長)에 미치는 상관관계(相關關係)는 각각 r=0.2645, r=0.315, r=0.19로서 정(正)의 상관(相關)을 나타내었다. 2. 병원균(病原菌)의 포자발아(胞子發芽)와 토양미생물(土壤微生物) 분포수(分布數)와의 관계(關係)를 분석(分析)한 결과(結果), F. solani와 전세균(全細菌), 방선균(放線菌), 섬유소분해(纖維素分解) 세균(細菌)의 분포수(分布數)와의 관계(關係)에서 각각 r=0.21, r=0.37, r=0.20의 정(正)의 상관(相關)을 나타내었으나 전진균(全眞菌)과의 관계(關係)에서는 r=-0.20으로서 부(負)의 상관관계(相關關係)였다. R. solani의 균사생장(菌絲生長)과 방선균(放線菌)의 분포수(分布數)사이에는 정(正)의 상관(相關)(r=0.24)이 있었다. 3. 총 146개 토양(土壤)중에서 F. solani는 40개 토양(土壤)에서, C. destructans는 20개 토양(土壤)에서, R. solani는 9개 토양(土壤)에서 각각 병원균(病原菌) 억제토양(抑制土壤)으로 선발(選拔)되었다. 4. 병원균(病原菌) 억제토양(抑制土壤)의 K, Ca, Mg, Na의 평균함양(平均含量)은 유발토양(誘發土壤)의 것보다 적었으며 병원균(病原菌) 억제토양(抑制土壤)의 유기물함양(有機物含量)은 유발토양(誘發土壤)보다 2배이상 높았다. $P_2O_5$의 함양(含量)은 F. solani와 R. solani의 억제토양(抑制土壤)이 유발토양(誘發土壤)보다 낮은 반면, C. destructans의 억제토양(抑制土壤)은 유발토양(誘發土壤)보다 약간 높았다. 토양(土壤) pH에 있어서 억제토양(抑制土壤)의 평균(平均) pH는 유발토양(誘發土壤)보다 낮은 수치였다. 토양(土壤)의 물리적(物理的) 특성(特性)에 있어서 모래의 평균함양(平均含量)은 병원균(病原菌) 억제토양(抑制土壤)이 유발토양(誘發土壤)보다 2배 정도가 높은 반면, 미사(微砂)와 점사(粘士)의 함양(含量)은 유발토양(誘發土壤)보다 낮았다. 5. 병원균(病原菌) 억제토양(抑制土壤)과 유발토양(誘發土壤)의 미생물분포(微生物分布)는 F. solani 억제토양(抑制土壤)에 있어서 전세균(全細菌), 전진균(全眞菌), 섬유소분해(纖維素分解) 진균(眞菌)의 분포수(分布數)가 유발토양(誘發土壤)보다 높았던 반면, 방선균(放線菌), 섬유소분해(纖維素分解) 세균(細菌)의 분포수(分布數)는 유발토양(誘發土壤)보다 낮았으며, 전세균(全細菌) 및 전진균(全眞菌)의 분포수(分布數)는 병원균(病原菌) 억제토양(抑制土壤)과 유발토양(誘發土壤) 사이에 각각 유의성(有意性)(P=0.05)이 있었고, 방선균(放線菌)은 고도(高度)의 유의성(有意性)(P=0.01)이 두 토양(土壤) 사이에서 인정되었다. C. destructans의 억제토양(抑制土壤)에 있어서 전세균(全細菌), 전진균(全眞菌), 방선균(放線菌), 섬유소분해(纖維素分解) 진균(眞菌)의 분포수(分布數)는 유발토양(誘發土壤)의 분포수(分布數)보다 높았던 반면, 섬유소분해(纖維素分解) 세균(細菌)의 분포수(分布數)는 유발토양(誘發土壤)보다 2배 정도가 낮았다. R. solani의 억제토양(抑制土壤)에 있어서 전진균(全眞菌)의 분포수(分布數)가 유발토양(誘發土壤)의 분포수(分布數)보다 높았던 반면, 전세균(全細菌), 방선균(放線菌), 섬유소분해(纖維素分解) 세균(細菌), 섬유소분해(纖維素分解) 진균(眞菌)의 분포수(分布數)는 유발토양(誘發土壤)보다 낮았다. 6. 인삼근부병(人蔘根腐病) 발병(發病) 억제토양(抑制土壤)의 선발(選拔)은 공시(供試) 병원균(病原菌)별로 인삼(人蔘)이 식재(植栽)된 각각의 16개 토양(土壤)중 F. solani는 14개 토양(土壤)에서, C. destructans는 15개 토양(土壤)에서 각각 발병(發病) 억제성(抑制性)을 확인하였다. F. solani의 발병(發病) 억제토양(抑制土壤)에서 인삼(人蔘)의 근부률(根腐率)은 $1.0{\sim}17.4%$였으며, C. destructans의 발병(發病) 억제토양(抑制土壤)에서 인삼(人蔘)의 근부률(根腐率)은 $0.2{\sim}20.4%$였다.

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