• 제목/요약/키워드: B.I

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UNITARILY INVARIANT NORM INEQUALITIES INVOLVING G1 OPERATORS

  • Bakherad, Mojtaba
    • 대한수학회논문집
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    • 제33권3호
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    • pp.889-899
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    • 2018
  • In this paper, we present some upper bounds for unitarily invariant norms inequalities. Among other inequalities, we show some upper bounds for the Hilbert-Schmidt norm. In particular, we prove $${\parallel}f(A)Xg(B){\pm}g(B)Xf(A){\parallel}_2{\leq}{\Large{\parallel}}{\frac{(I+{\mid}A{\mid})X(I+{\mid}B{\mid})+(I+{\mid}B{\mid})X(I+{\mid}A{\mid})}{^dA^dB}}{\Large{\parallel}}_2$$, where A, B, $X{\in}{\mathbb{M}}_n$ such that A, B are Hermitian with ${\sigma}(A){\cup}{\sigma}(B){\subset}{\mathbb{D}}$ and f, g are analytic on the complex unit disk ${\mathbb{D}}$, g(0) = f(0) = 1, Re(f) > 0 and Re(g) > 0.

백화산(白華山) 삼림식생(森林植生) -식물사회학적(植物社會學的) 연구(硏究)- (Forest Vegetation of Mt. Baek-Hwa -A Phytosociological Study-)

  • 조현제;이윤원;이동섭;홍성천
    • 한국산림과학회지
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    • 제80권1호
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    • pp.42-53
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    • 1991
  • 1. 경상북도(慶尙北道) 상주군(尙州郡)과 충청북도(忠淸北道) 영동군(永同郡)의 경계(境界)를 이루는 백화산(白華山) 일대(一帶)에 대하여 식물사회학적(植物社會學的) 삼림군락분류(森林群落分類)와 소산식물상(所産植物相)의 조사(調査)를 행(行)하였다. 삼림식생(森林植生)은 자연림(自然林)으로 계곡부(溪谷部)와 산정부(山頂部)의 일부지역(一部地域)에 느티나무와 달피나무가 소규모(小規模)의 잔재림(殘在林)으로 분포(分포(布))하고 있지만 거의 전지역(全地域)이 이차림(二次林)이나 식림(植林)과 같은 대상식생(代償植生)으로 구성(構成)되어 있다. 2. 백화산(白華山) 일대(一帶)의 삼림군락(森林群落)은 신갈나무, 쇠물푸레 등(等)이 특징(特徵)지우는 신갈나무 쇠물푸레군락(群落)(Table 1 : I)의 산지림(山地林)과 물푸레나무, 고로쇠나무 등(等)이 특징(特徵)지우는 물푸레나무-고로쇠나무군락(群落)(Table 1 : II)의 계곡림(溪谷林)의 2개(個) 상급식생단위(上級植生單位)로 크게 구분(區分)되었으며 이들의 하급식생단위(下級植生單位)는 다음과 같다. I. 산지림(山地林)(I-A. 당단풍-지리대사초군(群), I-B. 소나무군(群) : I-B-a. 전형소군(典型小群), I-B-b. 철쭉나무소군(小群)) II. 계곡림(溪谷林)(II-A. 당단풍군(群), II-B. 느티나무군(群) : II-B-a. 전형소군(典型小群), II-B-b. 비목나무소군(小群), II-C. 졸참나무-굴피나무군(群) : II-C-a. 전형소군(典型小群), II-C-b. 비목나무소군(小群)) 3. 삼림군락(森林群落)의 수직분포(垂直分布)를 조사(調査)한 결과(結果), 산지림(山地林)은 해발(海拔) 600m를 경계(境界)로 상부(上部)는 당단풍-지리대사초군(群)(I-A)과 전형소군(典型小群)(I-B-a), 하부(下部)는 철쭉나무소군(小群)(I-B-b)이 주로 분포(分布)하고 있었으며, 해발(海拔) 600m이하(以下)에서 주로 발달(發達)하는 계곡림(溪谷林)은 해발(海拔) 350m를 경계(境界)로 상부(上部)는 당단풍군(群)(II-A)과 느티나무군(群)(II-B), 하부(下部)는 졸참나무-굴피나무군(群)(II-C)이 분포(分布)하고 있었다. 4. 군락(群落)의 잠재우점성(潛在優占性)을 검토(檢討)한 결과(結果), 산지림(山地林)은 중부(中部) 이상(以上)에서는 신갈나무가 당분간(當分間) 도중극상(途中極相)을 중부(中部), 이하(以下)는 서어나무가 기후적(氣候的) 극상(極相)을 계곡림(溪谷林)은 인위적(人爲的) 영향(影響)을 배제(排除)하면 잔존종(殘存種)과 치묘(稚苗) 및 치수(稚樹)의 생육상태(生育狀態)로 보아 느티나무와 물푸레나무가 지형(地形) 및 토지적(土地的) 극상(極相)을 이루는 가운데 고로쇠나무, 까치박달, 비목나무 등(等)이, 국소적(局所的)으로 혼생(混生) 우점(優占)할 것으로 사료(思料)되었다. 5. 일치법(一致法)에 의해 산지림(山地林)과 계곡림(溪谷林)의 구분요인(區分要因)을 검토(檢討)한 결과(結果), 해발(海拔)보다는 지형(地形)에 의해 좌우(左右)되었다. 6. 백화산(白華山) 일대(一帶) 현존식물상(現存植物相)을 조사(調査)한 결과(結果), 소산식물(所産植物)은 총(總) 709종류(種類)로 108과(科), 371속(屬), 613종(種), 2아종(亞種), 88변종(變種) 및 6품종(品種)이었다.

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SOME RESULTS ON S-ACCR PAIRS

  • Hamed, Ahmed;Malek, Achraf
    • 대한수학회논문집
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    • 제37권2호
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    • pp.337-345
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    • 2022
  • Let R ⊆ T be an extension of a commutative ring and S ⊆ R a multiplicative subset. We say that (R, T) is an S-accr (a commutative ring R is said to be S-accr if every ascending chain of residuals of the form (I : B) ⊆ (I : B2) ⊆ (I : B3) ⊆ ⋯ is S-stationary, where I is an ideal of R and B is a finitely generated ideal of R) pair if every ring A with R ⊆ A ⊆ T satisfies S-accr. Using this concept, we give an S-version of several different known results.

A NOTE ON WITT RINGS OF 2-FOLD FULL RINGS

  • Cho, In-Ho;Kim, Jae-Gyeom
    • 대한수학회보
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    • 제22권2호
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    • pp.121-126
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    • 1985
  • D.K. Harrison [5] has shown that if R and S are fields of characteristic different from 2, then two Witt rings W(R) and W(S) are isomorphic if and only if W(R)/I(R)$^{3}$ and W(S)/I(S)$^{3}$ are isomorphic where I(R) and I(S) denote the fundamental ideals of W(R) and W(S) respectively. In [1], J.K. Arason and A. Pfister proved a corresponding result when the characteristics of R and S are 2, and, in [9], K.I. Mandelberg proved the result when R and S are commutative semi-local rings having 2 a unit. In this paper, we prove the result when R and S are 2-fold full rings. Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is nondegenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$ (V, R) induced by B is an isomorphism), and with a quadratic mapping .phi.:V.rarw.R such that B(x,y)=(.phi.(x+y)-.phi.(x)-.phi.(y))/2 and .phi.(rx)= $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U(R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$, .., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2, we reserve the notation [ $a_{11}$, $a_{22}$] for the space.the space.e.e.e.

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Globular Adiponectin Exerts a Pro-Inflammatory Effect via IκB/NF-κB Pathway Activation and Anti-Inflammatory Effect by IRAK-1 Downregulation

  • Lee, Kyoung-Hee;Jeong, Jiyeong;Woo, Jisu;Lee, Chang-Hoon;Yoo, Chul-Gyu
    • Molecules and Cells
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    • 제41권8호
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    • pp.762-770
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    • 2018
  • Adiponectin, a hormone produced by adipose tissue, is very abundant in plasma, and its anti- and pro-inflammatory effects are reported. However, the mechanisms of these pro- and anti-inflammatory effects are not fully defined. Herein, we evaluated the dual inflammatory response mechanism of adiponectin in macrophages. Short-term globular adiponectin (gAd) treatment induced $I{\kappa}B{\alpha}$ degradation, $NF-{\kappa}B$ nuclear translocation, and $TNF-{\alpha}$ production in RAW 264.7 cells. Polymyxin B pretreatment did not block gAd-induced $I{\kappa}B{\alpha}$ degradation, and heated gAd was unable to degrade $I{\kappa}B{\alpha}$, suggesting that the effects of gAd were not due to endotoxin contamination. gAd activated IKK and Akt, and inhibition of either IKK or Akt by dominant-negative $IKK{\beta}$ ($DN-IKK{\beta}$) or DN-Akt overexpression blocked gAd-induced $I{\kappa}B{\alpha}$ degradation, suggesting that short-term incubation with gAd mediates inflammatory responses by activating the $I{\kappa}B/NF-{\kappa}B$ and PI3K/Akt pathways. Contrastingly, long-term stimulation with gAd induced, upon subsequent stimulation, tolerance to gAd, lipopolysaccharide, and CpG-oligodeoxynucleotide, which is associated with gAd-induced downregulation of IL-receptor-associated kinase-1 (IRAK-1) due to IRAK-1 transcriptional repression. Conclusively, our findings demonstrate that the pro- and anti-inflammatory responses to gAd in innate immune cells are time-dependent, and mediated by the activation of the $I{\kappa}B/NF-{\kappa}B$ pathway, and IRAK-1 downregulation, respectively.

EXPANSIVE HOMEOMORPHISMS WITH THE SHADOWING PROPERTY ON ZERO DIMENSIONAL SPACES

  • Park, Jong-Jin
    • 대한수학회논문집
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    • 제19권4호
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    • pp.759-764
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    • 2004
  • Let X = {a} ${\cup}$ {$a_{i}$ ${$\mid$}$i $\in$ N} be a subspace of Euclidean space $E^2$ such that $lim_{{i}{\longrightarrow}{$\infty}}a_{i}$ = a and $a_{i}\;{\neq}\;a_{j}$ for $i{\neq}j$. Then it is well known that the space X has no expansive homeomorphisms with the shadowing property. In this paper we show that the set of all expansive homeomorphisms with the shadowing property on the space Y is dense in the space H(Y) of all homeomorphisms on Y, where Y = {a, b} ${\cup}$ {$a_{i}{$\mid$}i{\in}Z$} is a subspace of $E^2$ such that $lim_{i}$-$\infty$ $a_{i}$ = b and $lim_{{i}{\longrightarrow}{$\infty}}a_{i}$ = a with the following properties; $a_{i}{\neq}a_{j}$ for $i{\neq}j$ and $a{\neq}b$.

A Simple PCR-RFLP for Idenficiation of Bursaphelenchus spp. Collected from Korea

  • Han, Hye-Rim;Han, Bo-Young;Chung, Yeong-Jin;Shin, Sang-Chul
    • The Plant Pathology Journal
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    • 제24권2호
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    • pp.159-163
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    • 2008
  • Accurate identification of pine wood nematode, Bursaphelenchus xylophilus is a prerequisite to diagnose the pine wilt disease. However, a fungivorous nematode, B. mucronatus is highly similar to B. xylophilus and it is difficult to differentiate these two species by morphological features. A molecular diagnosis method, ITSRFLP was applied for the identification of B. xylophilus and B. mucronatus from Korea. Genomic DNA was extracted from a single individual nematode and ITS DNA was amplified by PCR. The size of PCR product was approximately 900bp and the sequence data were obtained after cloning. Amplified ITS was digested by 5 different restriction enzymes (Rsa I, Hae III, Msp I, Hinf I, and Alu I) and provided a discriminatory profile for B. xylophilus and B. mucronatus. Besides, B. mucro- natus was determined to have 2 different genotypes, East Asian type and European type also clearly separated by Rsa I and Hae III digestion. European type of B. mucronatus is recently collected from Pinus koraiensis and has not been reported before. ITS sequnce data were analyzed by Restriction Mapper program and the result supported ITS-RFLP pattern. These data indicated that PCRRFLP method is an accurate and simple way for identification of Bursaphelenchus species.

양돈분뇨의 열전처리에서 기질과 접종액의 비율이 메탄생산 퍼텐셜에 미치는 영향 (Effect of Substrate to Inoculum Ratio on Biochemical Methane Potential in the Thermal Pretreatment of Piggery Sludge)

  • 김승환;김호;오승용;김창현;윤영만
    • 한국토양비료학회지
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    • 제45권4호
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    • pp.532-539
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    • 2012
  • BMP 시험을 통한 최종메탄생산퍼텐셜 ($B_u$)의 측정은 바이오매스로부터 전환할 수 있는 바이오에너지 양을 추산하고 혐기소화조를 설계하는데 중요한 인자이다. 본 연구에서는 $B_u$의 측정에 있어 기질과 접종액의 비율 (S/I ratio)이 미치는 영향을 분석하기 위하여 기질의 유기물 특성이 다른 양돈 슬러리의 탈수여액 (LF), 양돈슬러지 탈수케이크의 열가수분해액 (TH), 탈수여액과 열가수분해액의 혼합액 (Mix)을 이용하여 BMP 시험을 실시하였으며, 각각의 시료의 이론적 메탄생산퍼텐셜 ($B_{th}$)과 혐기적 유기물 분해율을 구하여 비교하였다. TH 시료의 $B_u$는 S/I 비율 0.1, 0.3, 0.5에서 각각 0.27, 0.44, $0.46Nm^3\;Kg^{-1}-VS_{added}$로 나타났으며, 이론적메탄생산퍼텐셜 ($B_{th}$) 대비 최종메탄생산퍼텐셜 ($B_u$)의 비율 ($B_u/B_{th}$)로 나타낸 혐기적 유기물 분해율은 S/I 비율 0.1, 0.3, 0.5에서 각각 50.04, 82.46, 86.47%이었으며, LF 시료의 경우 S/I 비율 0.1, 0.3, 0.5에서 $B_u$은 각각 0.64, 0.53, $0.40Nm^3\;Kg^{-1}-VS_{added}$이었으며, 혐기적 유기물 분해율은 각각 152.07, 122.67, 95.71%로 나타났다. Mix 시료의 경우 최종 메탄생산 퍼텐셜과 혐기적 유기물 분해율에서 LF 시료와 유사한 경향을 보였다. 본 연구에서는 양돈슬러리의 BMP시험에서 S/I비율에 따라 상이한 최종 메탄생산 퍼텐셜이 나타나며, 낮은 S/I 비율에서 최종 메탄생산 퍼텐셜이 과대평가되었다.

B.G.I 지반보강 공법에 관한 연구 (A Study on the Ground Reinforcement Method of B.G.I)

  • 유남재;서승오;김동건
    • 산업기술연구
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    • 제29권B호
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    • pp.73-80
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    • 2009
  • This paper is to investigate effect of B.G.I (Best Grouting Innovation) method on reinforcing ground. In this thesis, extensive literature review was performed to summarize theoretical backgrounds of grouting and to compare the applicability of different grouting methods. Unconfined compression test with specimen prepared by injecting different grouts of B.G.I, S.G.R and L.W methods and by changing the curing time were carried out to figure out characteristics of initial unconfined compression strength mobilized in the early stage. As results of test, the compression strength increases with curing times and specimen prepared with grouts of B.G.I method show greater values than others. On the other hands, the measured values of pH are in the range of 7-10 during tests. In field, preliminary construction to main construction at several sites were performed to confirm the effect of reinforcing the ground by application of B.G.I method. From the results of permeability test in field, SPT test and phenol reaction test, it was found that N values after grouting are greater than those before grouting and values of permeability in grouted ground is reduced significantly.

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