• 제목/요약/키워드: N-continuous

검색결과 1,733건 처리시간 0.023초

CONDITIONAL INTEGRAL TRANSFORMS OF FUNCTIONALS ON A FUNCTION SPACE OF TWO VARIABLES

  • Bong Jin, Kim
    • Korean Journal of Mathematics
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    • 제30권4호
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    • pp.593-601
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    • 2022
  • Let C(Q) denote Yeh-Wiener space, the space of all real-valued continuous functions x(s, t) on Q ≡ [0, S] × [0, T] with x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. For each partition τ = τm,n = {(si, tj)|i = 1, . . . , m, j = 1, . . . , n} of Q with 0 = s0 < s1 < . . . < sm = S and 0 = t0 < t1 < . . . < tn = T, define a random vector Xτ : C(Q) → ℝmn by Xτ (x) = (x(s1, t1), . . . , x(sm, tn)). In this paper we study the conditional integral transform and the conditional convolution product for a class of cylinder type functionals defined on K(Q) with a given conditioning function Xτ above, where K(Q)is the space of all complex valued continuous functions of two variables on Q which satify x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. In particular we derive a useful equation which allows to calculate the conditional integral transform of the conditional convolution product without ever actually calculating convolution product or conditional convolution product.

Conformational changes of short, discrete Rouse chain during creep and recovery processes

  • Watanabe, Hiroshi;Inoue, Tadashi
    • Korea-Australia Rheology Journal
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    • 제16권2호
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    • pp.91-99
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    • 2004
  • For the Rouse chain composed of infinite number of beads (continuous limit), conformational changes during the creep and creep recovery processes was recently analyzed to reveal the interplay among all Rouse eigenmodes under the constant stress condition (Watanabe and Inoue, Rheol. Acta, 2004). For completeness of the analysis of the Rouse model, this paper analyzes the conformational changes of the discrete Rouse chain having a finite number of beads (N = 3 and 4). The analysis demonstrates that the chain of finite N exhibits the affine deformation on imposition/removal of the stress and this deformation gives the instantaneous component of the recoverable compliance, $J_{R}$(0) = 1/(N-l)v $k_{B}$T with v and $k_{B}$ being the chain number density and Boltzmann constant, respectively. (This component vanishes for N\longrightarrow$\infty$.) For N = 2, it is known that the chain has only one internal eigenmode so that the affinely deformed conformation at the onset of the creep process does not change with time t and $J_{R}$(t) coincides with $J_{R}$(0) at any t (no transient increase of $J_{R}$(t)). However, for N$\geq$3, the chain has N-l eigenmodes (N-l$\geq$2), and this coincidence vanishes. For this case, the chain conformation changes with t to the non-affine conformation under steady flow, and this change is governed by the interplay of the Rouse eigenmodes (under the constant stress condition). This conformational change gives the non-instantaneous increase of $J_{R}$(t) with t, as also noted in the continuous limit (N\longrightarrow$\infty$).X>).TEX>).X>).

Strong Higher Derivations on Ultraprime Banach Algebras

  • Lee, Young-Whan;Park, Kyoo-Hong
    • 충청수학회지
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    • 제7권1호
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    • pp.117-122
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    • 1994
  • In this paper we show that if {$H_n$} is a continuous strong higher derivation of order n on an ultraprime Banach algebra with a constant c, then $c||H_1||^2{\leq}4||H_2||$ and for each $1{\leq}l$ < n $$c^2||H_1||\;||H_{n-l}{\leq}6||H_n||+\frac{3}{2}\sum_{\array{i+j+k=n\\i,j,k{\geq}1}}||H_i||\;||H_j||\;||H_k||+\frac{3}{2}\sum_{\array{i+k=n\\i{\neq}l,\;n-1}}||H_i||\;||H_k|| $$ and for a strong higher derivation {$H_n$} of order n on a prime ring A we also show that if [$H_n$(x),x]=0 for all $x{\in}A$ and for every $n{\geq}1$, then A is commutative or $H_n=0$ for every $n{\geq}1$.

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Mechanical Behavior and Numerical Estimation of Fracture Resistance of a SCS6 Fiber Reinforced Reaction Bonded Si$_3$N$_4$ Continuous Fiber Ceramic Composite

  • Kwon, Oh-Heon;Michael G. Jenkins
    • Journal of Mechanical Science and Technology
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    • 제16권9호
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    • pp.1093-1101
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    • 2002
  • Continuous fiber ceramic composites (CFCCs) have advantages over monolithic ceramics : Silicon Nitride composites are not well used for application because of their low fracture toughness and fracture strength, but CFCCs exhibit increased toughness for damage tolerance, and relatively high stiffness in spite of low specific weight. Thus it is important to characterize the fracture resistance and properties of new CFCCs materials. Tensile and flexural tests were carried out for mechanical properties and the fracture resistance behavior of a SCS6 fiber reinforced Si$_3$N$_4$ matrix CFCC was evaluated. The results indicated that CFCC composite exhibit a rising R curve behavior in flexural test. The fracture toughness was about 4.8 MPa$.$m$\^$1/2 , which resulted in a higher value of the fracture toughness because of fiber bridging. Mechanical properties as like the elastic modulus, proportional limit and the ultimate strength in a flexural test are greater than those in a tensile test. Also a numerical modeling of failure process was accomplished for a flexural test. This numerical results provided a good simulation of the cumulative fracture process of the fiber and matrix in CFCCs.

당뇨병환자의 지속적 자가 혈당관리에 따른 혈당조절의 효과 (Effects on Glycemic Control by Continuous Self Monitoring of Blood Glucose in Diabetic Patients)

  • 장경화;권명순
    • 가정간호학회지
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    • 제17권2호
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    • pp.104-111
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    • 2010
  • Purpose: To evaluate the effects of continuous self monitoring of blood glucose (SMBG) on glycemic control in diabetic patients. Methods: Among the diabetic patients who visited the department of internal medicine in H hospital from April 1 to October 27 2008, 76 patients were divided into the experimental group (n=39) and control group (n=36). The experimental group was required to measure blood glucose levels at least twice every other day using SMBG; their compliance was aided by weekly telephone reminders for 3 months after discharge. Glycated hemoglobin, fasting blood sugar and postprandial 2 hours glucose level, triglyceride and high density lipoprotein were measured before and after the study. Results: Baseline characteristics were not different between the experimental and control groups. Three months later, there was a significant difference in postprandial glucose between the two groups (t=-2.042, p=.045). Conclusion: There was significant improvement of glycemic control after the use of continuous SMBG, suggesting its value in strict glycemic control and the merit of an aggressive education program.

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항공우주용 리오셀계 흑연화 직물 개발 (Development of Lyocell-Based Graphite Fabric for Aerospace)

  • 박길영;김남규;김연철;서상규;정용식
    • 한국추진공학회지
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    • 제25권4호
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    • pp.36-42
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    • 2021
  • 본 연구에서는 리오셀 섬유를 사용하여 연속식 흑연직물을 제조함에 있어, 리오셀 섬유에 phosphoric acid, ammonium phosphate, diammonium hydrogen, triammonium phosphate의 인계난연제를 처리 후 열중량, 푸리에변환적외선분광, C-핵자기공명분광, X-선 회절, 중량 분석을 통해 나타나는 물리적, 화학적 구조 변화에 대하여 고찰하였다. 인계난연제에 의한 열적 거동을 분석을 통해 내염화 공정의 온도, 가스, 처리시간 등에 대한 조건을 설정하였다. 연속식 내염화, 탄화, 흑연화 공정을 통해 인장강도 1,007.19±11.47 N/5 cm와 수율 25.3%의 흑연직물을 제조하였다.

당근 연작장해 경감을 위한 녹비작물 재배가 당근 생육 및 수량에 미치는 영향 (Effects of Green Manure Crops on Growth and Yield of Carrot for Reduction of Continuous Cropping Injury of Carrot through Crop Rotation)

  • 김성헌;서동철;박종환;이성태;이상원;김홍출;조주식;허종수
    • 한국환경농학회지
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    • 제32권4호
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    • pp.279-286
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    • 2013
  • 본 연구는 시설하우스 당근 연작장해 경감을 위한 녹비작물 재배가 당근의 생육특성 및 수량에 미치는 영향을 알아보기 위한 연구로서 하계녹비작물인 크로타라리아 및 수단글라스를 실제 당근 연작재배지에 단파 및 혼파로 구분하여 파종하였으며, 생육된 녹비작물의 양분공급량을 조사하였고, 녹비작물의 토양환원 후 토양의 이화학적 특성을 조사하였으며, 녹비작물 토양에 환원 후 후작물인 당근의 생육특성 및 당근의 장해율과 상품수량을 조사하여 녹비작물의 당근 연작장해 경감효과를 조사하였다. 시설하우스 당근 연작재배지서 생육된 녹비작물의 질소(N), 인($P_2O_5$), 칼륨($K_2O$), 칼슘(CaO) 및 마그네슘(MgO) 공급량은 크로타라리아의 경우 각각 8.3, 7.5, 4.4, 7.8 및 2.1 kg/10a이었으며, 수단글라스의 경우 각각 8.4, 8.6, 26.8, 0.3 및 2.7 kg/10a이었으며, 혼파의 경우는 단파와 유사한 경향이었다. 당근 연작재배지에서 녹비작물의 토양환원 전 후 토양의 물리학적 특성을 조사한 결과 용적밀도는 녹비작물 처리구가 대조구에 비해 감소하는 경향이었고, 공극률은 증가하는 경향이었다. 토양환원 전 후 토양의 pH는 대조구와 별다른 차이 없이 6.37-6.64 범위였으며, EC는 크로타라리아(2.86 dS/m) 및 수단글라스(2.24 dS/m) 처리구가 대조구(3.14 dS/m)에 비해 낮았다. 토양 중 유기물, T-N 및 avail. $P_2O_5$ 함량은 녹비작물 처리구가 대조구에 비해 증가하는 경향이었다. 녹비작물 토양환원에 따른 후작물인 당근의 총 생산량은 크로타라리아 처리구에서 7,916 kg/10a로 가장 높은 수량을 보였으며, 대조구의 경우는 6,869 kg/10a로 가장 낮았다. 장해율은 대조구, 관행처리구, 크로타라리아, 수단글라스, 수단글라스 + 크로타라리아 처리구에서 각각 34.9, 23.1, 21.4, 22.9 및 19.8%로 혼파 처리구에서 가장 낮은 장해율을 보였다. 당근의 상품수량은 크로타라리아 처리구(6,226 kg $10a^{-1}$)가 관행처리구(5,890 kg/10a) 및 대조구(4,473 kg/10a)에 비해 각각 5.7% 및 39.2%의 증수효과를 보였다. 이상의 결과를 미루어 볼 때, 당근 연작재배지에서 녹비작물의 시용은 비료로서 충분한 가치가 있으며, 녹비작물 토양환원 후 토양의 물리성 및 화학성을 개선함으로써 시설하우스 당근 연작재배지의 연작장해를 경감할 수 있을 것으로 사료된다.

InGaN/GaN 다중 양자우물 구조에서의 In 응집 현상의 연구 (The Study of In Clustering Effects in InGaN/GaN Multiple Quantum Well Structure)

  • 조형균;이정용;김치선;양계모
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2001년도 하계학술대회 논문집
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    • pp.636-639
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    • 2001
  • InGaN/GaN multiple quantum wells (MQWs) grown with various growth interruptions between the InGaN well and GaN barrier by metal-organic chemical vapor deposition were investigated using photoluminescence, high-resolution transmission electron microscopy, and energy filtered transmission electron microscopy (EFTEM). The luminescence intensity of the MQWs with growth interruptions is abruptly reduced compared to that of the MQW without growth interruption. Also, as the interruption time increases the peak emission shows a continuous blue shift. Evidence of indium clustering is directly observed both by using an indium ratio map of the MQWs and from indium composition measurements along an InGaN well using EFTEM. The higher intensity and lower energy emission of light from the MQW grown without interruption showing indium clustering is believed to be caused by the recombination of excitons localized in indium clustering regions and the increased indium composition in these recombination centers.

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FOURIER SERIES ACCELERATION AND HARDY-LITTLEWOOD SERIES

  • Ciszewski, Regina;Gregory, Jason;Moore, Charles N.;West, Jasmine
    • Journal of applied mathematics & informatics
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    • 제31권1_2호
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    • pp.263-276
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    • 2013
  • We discuss the effects of the ${\delta}^2$ and Lubkin acceleration methods on the partial sums of Fourier Series. We construct continuous, even H$\ddot{o}$lder continuous functions, for which these acceleration methods fail to give convergence. The constructed functions include some interesting trigonometric series whose properties were investigated by Hardy and Littlewood.

A NEW METHOD FOR A FINITE FAMILY OF PSEUDOCONTRACTIONS AND EQUILIBRIUM PROBLEMS

  • Anh, P.N.;Son, D.X.
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1179-1191
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    • 2011
  • In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a finite family of strict pseudocontractions and the solution set of pseudomonotone and Lipschitz-type continuous equilibrium problems. The scheme is based on the idea of extragradient methods and fixed point iteration methods. We show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.