• Title/Summary/Keyword: N-continuous

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

  • Bong Jin, Kim
    • Korean Journal of Mathematics
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    • v.30 no.4
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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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    • v.16 no.2
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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
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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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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    • v.16 no.9
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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.

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

  • Jang, Gyeong-Wha;Kwon, Myung-Soon
    • Journal of Korean Academic Society of Home Health Care Nursing
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    • v.17 no.2
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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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Development of Lyocell-Based Graphite Fabric for Aerospace (항공우주용 리오셀계 흑연화 직물 개발)

  • Park, Gil-Young;Kim, Nam-Kyu;Kim, Yun-Chul;Seo, Sang-Kyu;Chung, Yong-Sik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.25 no.4
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    • pp.36-42
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    • 2021
  • In this study, the impregnation of Lyocell fabrics was performed using phosphoric acid, ammonium phosphate, diammonium hydrogen, triammonium phosphate as phosphorus flame retardant, to fabricate continuous graphite fabrics using lyocell fiber. The physical and chemical structure changes were investigated by thermogravimetric, Fourier-transform infrared spectroscopy, C-nuclear magnetic resonance, X-ray diffraction, and weight analyses, By analyzing the thermal behavior of phosphorus flame retardant, conditions for the temperature, gas, and residual time of the pyrolysis process were set. Graphite fabrics with a tensile strength of 1,007.19±11.47 N/5 cm and yield of 25.3% were fabricated using continuous pyrolysis, carbonization and graphitization process.

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

  • Kim, Seong-Heon;Seo, Dong-Cheol;Park, Jong-Hwan;Lee, Seong-Tae;Lee, Sang-Won;Kim, Hong-Chul;Cho, Ju-Sik;Heo, Jong-Soo
    • Korean Journal of Environmental Agriculture
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    • v.32 no.4
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    • pp.279-286
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    • 2013
  • BACKGROUND: Soil incorporation of green manure crop(GMC) is one of the methods for reducing continuous cropping injury and increasing yield of carrot. The purpose of this study was to evaluate the effects of green manure crops on growth and yield of carrot for reduction of continuous cropping injury of carrot through crop rotation. METHODS AND RESULTS: To reduce the injury by continuous cropping system(CCS) of carrot cultivation, GMCs such as crotalaria and sudangrass were applied, which GMC was sowed in latter-June and returned to soil in latter-October. Nutrient contributions of N, $P_2O_5$, $K_2O$, CaO, and MgO in crotalaria were 8.3, 7.5, 4.4, 7.8, and 2.1 kg/10a, respectively. Nutrient contributions of N, $P_2O_5$, $K_2O$, CaO, and MgO in sudangrass were 8.4, 8.6, 26.8, 0.3, and 2.7 kg/10a, respectively. After incorporation of GMCs into soil, bulk density in soil with GMCs was lower than that in soil without GMCs(control). In soil after incorporation of GMCs, pH was not different in all treatment conditions, and ranged from 6.37~6.64. EC in soil after incorporation of GMCs was lower than that in soil without GMCs. The OM, T-N, and avail. $P_2O_5$ contents in soil with GMCs were higher than those in soil without GMCs. The growth and yields were increased as 39.2%(6,226 kg/10a) in the rotational cropping system(RCS) as compared to continuous cropping system(control and without NPK) of 4,473 kg/10a. Crotalaria cultivation were the most effective crop for reducing the injury of continuous cropping of carrot. CONCLUSION(S): This study suggest that the RCS using GMCs showed lower disease outbreak density in soil for carrot cultivation as compared to CCS without GMCs. Especially, the GMCs good effect for reduction of continuous cropping injury of carrot.

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

  • 조형균;이정용;김치선;양계모
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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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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    • v.31 no.1_2
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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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    • v.29 no.5_6
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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.