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GENERALIZED ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTIONS ON A FRESNEL TYPE CLASS

  • Chang, Seung-Jun;Lee, Il-Yong
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.223-245
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    • 2011
  • In this paper, we de ne an $L_p$ analytic generalized Fourier Feynman transform and a convolution product of functionals in a Ba-nach algebra $\cal{F}$($C_{a,b}$[0, T]) which is called the Fresnel type class, and in more general class $\cal{F}_{A_1;A_2}$ of functionals de ned on general functio space $C_{a,b}$[0, T] rather than on classical Wiener space. Also we obtain some relationships between the $L_p$ analytic generalized Fourier-Feynman transform and convolution product for functionals in $\cal{F}$($C_{a,b}$[0, T]) and in $\cal{F}_{A_1,A_2}$.

HEIGHT BOUND AND PREPERIODIC POINTS FOR JOINTLY REGULAR FAMILIES OF RATIONAL MAPS

  • Lee, Chong-Gyu
    • Journal of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1171-1187
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    • 2011
  • Silverman [14] proved a height inequality for a jointly regular family of rational maps and the author [10] improved it for a jointly regular pair. In this paper, we provide the same improvement for a jointly regular family: let h : ${\mathbb{P}}_{\mathbb{Q}}^n{\rightarrow}{{\mathbb{R}}$ be the logarithmic absolute height on the projective space, let r(f) be the D-ratio of a rational map f which is de ned in [10] and let {$f_1,{\ldots},f_k|f_l:\mathbb{A}^n{\rightarrow}\mathbb{A}^n$} bbe finite set of polynomial maps which is defined over a number field K. If the intersection of the indeterminacy loci of $f_1,{\ldots},f_k$ is empty, then there is a constant C such that $ \sum\limits_{l=1}^k\frac{1}{def\;f_\iota}h(f_\iota(P))>(1+\frac{1}{r})f(P)-C$ for all $P{\in}\mathbb{A}^n$ where r= $max_{\iota=1},{\ldots},k(r(f_l))$.

After-treatment of Jumchi Technique for using Dakji as Clothing Material (닥지의 의류소재 활용을 위한 줌치기법의 후처리)

  • Kim, Jung-Ju;Jang, Jeong-Dae
    • Fashion & Textile Research Journal
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    • v.6 no.2
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    • pp.245-248
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    • 2004
  • This study examied ned physical properties and surface characteristics of papers post-processed by Jumchi technique and stainability of extract from Amur Cork-Tree to use Dakji as clothing material. Then, it found the following results. After-treatment by Amorphophalus konjac K. Koch and persimmon juice showed stronger tensile strength and tearing strength than untreated samples and the drape stiffness was substantially increased. After-treatment by persimmon juice generated dyeing effects as well as excellent tensile strength and tearing strength all samples were generally dyed well by Amur Cork-Tree, While the untreated samples did not show any significant effects in dyeing for more than 5 minutes. It was found that after-treatment substantially contributed on concentration of dyeing as dyeing amounts of post-processed samples were gradually increased as time increased. After-treated sample with agar did not show any significant differences from untreated sample. Accordingly, it has to be studied further.

Hausdorff dimension of some specific perturbed cantor set

  • Baek, In-Soo;Lee, Sang-Hun
    • Journal of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.539-544
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    • 1994
  • We [1] investigated the Hausdorff dimension and the packing dimension of a certain perturbed Cantor set whose ratios are unformly bounded. In this paper, we consider a specific Cantor set whose ratios are not necessarily uniformly bounded but satisfy some other conditions. In fact, in the hypothesis, only the condition of the unform boundedness of ratios on the set is substituted by a "*-condition". We use energy theory related to Hausdorff dimension in this study while we [1] used Hausdorff density theorem to find the Hausdorff dimension of some perturbed Cantor set. In the end, we given an example which explains aformentioned facts.ned facts.

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AMALGAMATED DUPLICATION OF SOME SPECIAL RINGS

  • Tavasoli, Elham;Salimi, Maryam;Tehranian, Abolfazl
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.989-996
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    • 2012
  • Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper we study the amalgamated duplication ring $R{\bowtie}I$ which is introduced by D'Anna and Fontana. It is shown that if R is generically Cohen-Macaulay (resp. generically Gorenstein) and I is generically maximal Cohen-Macaulay (resp. generically canonical module), then $R{\bowtie}I$ is generically Cohen-Macaulay (resp. generically Gorenstein). We also de ned generically quasi-Gorenstein ring and we investigate when $R{\bowtie}I$ is generically quasi-Gorenstein. In addition, it is shown that $R{\bowtie}I$ is approximately Cohen-Macaulay if and only if R is approximately Cohen-Macaulay, provided some special conditions. Finally it is shown that if R is approximately Gorenstein, then $R{\bowtie}I$ is approximately Gorenstein.

Default Bayesian hypothesis testing for the scale parameters in nonregular Pareto distributions

  • Kang, Sang Gil
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.6
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    • pp.1299-1308
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    • 2012
  • This article deals with the problem of testing the equality of the scale parameters in nonregular Pareto distributions.We propose Bayesian hypothesis testing procedures for the equality of the scale parameters under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be de ned up to a multiplicative constant. So we propose the default Bayesia hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and a real data example are provided.

Fault Detection System for Front-wheel Sleeving Passenger Cars

  • Kim, Hwan-Seong;You, Sam-Sang;Kim, Jin-Ho;Ha, Ju-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.45.3-45
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    • 2001
  • This paper deal with a fault detection algorithm for front wheel passenger car systems by using robust $H{\infty}$ control theory. Firstly, we present a unified formulation of vehicle dynamics for front wheel car systems and transform this formulation into state space form. Also, by considering the cornering stiffness which depends on the tyre-road contact conditions, a multiplicative uncertainty for vehicle model is described. Next, the failures of sensor and actuator for vehicle system are defined in which the fault .lter is considered. From the nominal vehicle model, an augmented system includes the multiplicative uncertainty and the model of fault filter is proposed. Lastly by using $H{\infty}$ norm property the fault detect conditions are deefi.ned, and the actuator and sensor failures are detected and isolated by designing the robust $H{\infty}$ controller, respectively.

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A Monte Carlo Comparison of the Small Sample Behavior of Disparity Measures

  • Hong, Jong-Seon;Jeong, Dong-Bin;Park, Yong-Seok
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.149-150
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    • 2003
  • 소표본 분할표 자료에서 적합도 검정통계량들의 카이제곱 근사 적용 가능에 대하여 많은 연구가 진행되었다. 소표본에서 세 가지 검정 통계량(피어슨 카이제곱 $X^{2}$, 일반화 가능도비 $G^{2}$, 그리고 역발산 I(2/3) 검정통계량)에 관하여 비교한 Rudas(1986)의 연구를 확장하여, 최근에 제안된 차이측도(BWHD(1/9), BWCS(1/3), NED(4/3) 검정통계량)를 포함시켜 비교 분석하였다. 독립모형의 이차원 분할표, 조건부 독립모형과 한 변수 독립 모형을 따르는 삼차원 분할표에 대한 모의실험을 통하여 생성된 90과 95 백분위수와 이에 대응하는 95% 신뢰구간을 살펴보고 실제 백분위수와 비교하였다. 그 결과 $X^{2}$, I(2/3), 그리고 BWHD(1/9) 검정통계량이 유사한 결과를 나타내었고 이 통계량들이 기존에 제안된 검정통계량들보다 적은 표본크기에서도 카이제곱 근사방법에 적용 가능함을 발견하였다.

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Studies on the Extraction of Rapesedd Protein from Some Species (품종별 유채박 단백질의 추출에 관한연구)

  • 강동섭;이장순;강영주
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.19 no.4
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    • pp.315-320
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    • 1990
  • Studies on protein and antinutritional factors of rapeseeds are ncessary for effective utiliza-tion of defatted rapeseed meal. Proteins were extracted from seeds of several species of rape-seeds and analyzed by SDS-PAGE and the contents of glucosinolate and phytate were determi-ned. One percent solution extraction and extraction yield was relatively higherfor B. campestris and B. juncea than for other species. SDS-PAGE revealed that rapeseeds of most species were rich in low molecular weight proteins and that in particular the roteins of B. napus var. Halla and B. juncea were composed of simpler subunits as compared with other species. The content of glucosinolate was around 10mg/g of defatted meal for B. juncea however for var. Halla it was 7.26mg/g of defatted meal and 0.46mg/g of protein concentrate which were the lowest values. The level of phytate was between 2.7 and 4.6% for all species tested. Our results indicate thT B, napus var. Halla is the desired species for the utilization of rapeseed proteins.

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On Some New Generalized Di erence Statistically Convergen Sequence Spaces De ned by a Sequence of Orlicz Function

  • Bekt, Cigdem Asma;Atici, Gulcan
    • Kyungpook Mathematical Journal
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    • v.50 no.3
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    • pp.389-397
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    • 2010
  • In this paper we introduce the new generalized difference sequence space $\ell_\infty$($\Delta_v^n$, M,p,q,s), $\bar{c}$($\Delta_v^n$,M,p,q,s), $\bar{c_0}$($\Delta_v^n$,M,p,q,s), m($\Delta_v^n$,M,p,q,s) and $m_0$($\Delta_v^n$,M,p,q,s) defined over a seminormed sequence space (X,q). We study some of it properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.