• Title/Summary/Keyword: $T_1R$

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Twisted product representation of reflected brownian motion in a cone

  • Kwon, Young-Mee
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.471-480
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    • 1996
  • Consider a strong Markov process $X^0$ that has continuous sample paths in the closed cone $\bar{G}$ in $R^d(d \geq 3)$ such that the process behaves like a ordinary Brownian motion in the interior of the cone, reflects instantaneously from the boundary of the cone and is absorbed at the vertex of the cone. It is shown that $X^0(t)$ has a representation $R(t) \ominus (t)$ where $R(t) \in [0, \infty)$ and $\ominus(t) \in S^{d-1}$, the surface of the unit ball.

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Comparison of ECT Probes in Diagnosis of Defects

  • Mun, Ho-Young;Kim, Chang-Eob
    • Journal of Electrical Engineering and Technology
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    • v.9 no.1
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    • pp.190-196
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    • 2014
  • In this paper, the characteristics of a defective elliptical aluminum plate are analyzed by three different eddy current testing probes; T/R, T/T, and Impedance probes. The analysis was done by 3D finite element method, and the impedance change of real and imaginary voltage values were analyzed.

A Study on the Yolk Absorption and Early Growth in the Alevin of Rainbow Trout, Oncorhynchus mykiss (무지개송어, Oncorhynchus mykiss 자어의 난황흡수 및 초기성장에 관한 연구)

  • Park, In-Seok;Im, Jae-Hyun;Zhang, Chang-Ik
    • Korean Journal of Ichthyology
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    • v.8 no.1
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    • pp.49-55
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    • 1996
  • The growth of total length(TL), total weight(TW) and somatic weight(SW) of rainbow trout, Oncorhynchus mykiss alevin at yolk absorption period was expressed by the Gompertz growth model as $TLt=2.7e^{-1.24{\cdot}e^{-0.11t}}(r^{2}=0.66)$, $TWt=1.8e^{-2.03{\cdot}e^{-0.11t}}(r^{2}=0.66)$ and $SWt=1.8e^{-5.41{\cdot}e^{-0.13t}}(r^{2}=0.83)$ respectively. Yolk length, yolk height and yolk volume of rainbow trout decreased linearly. The relative growth of total weight-total length, somatic weight-total length, yolk length-total length, yolk height-total length, yolk volume-total length, yolk weight-total length, yolk weight-total weight, yolk weight-yolk height and yolk weight-yolk length at yolk absorption period revealed the pattern of yolk absorption in rainbow trout.

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A GENERALIZATION OF COHEN-MACAULAY MODULES BY TORSION THEORY

  • BIJAN-ZADEH, M.H.;PAYROVI, SH.
    • Honam Mathematical Journal
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    • v.20 no.1
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    • pp.1-14
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    • 1998
  • In this short note we study the torsion theories over a commutative ring R and discuss a relative dimension related to such theories for R-modules. Let ${\sigma}$ be a torsion functor and (T, F) be its corresponding partition of Spec(R). The concept of ${\sigma}$-Cohen Macaulay (abbr. ${\sigma}$-CM) module is defined and some of the main points concerning the usual Cohen-Macaulay modules are extended. In particular it is shown that if M is a non-zero ${\sigma}$-CM module over R and S is a multiplicatively closed subset of R such that, for all minimal element of T, $S{\cap}p={\emptyset}$, then $S^{-1}M$ is a $S^{-1}{\sigma}$-CM module over $S^{-1}$R, where $S^{-1}{\sigma}$ is the direct image of ${\sigma}$ under the natural ring homomorphism $R{\longrightarrow}S^{-1}R$.

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ON THE COHOMOLOGICAL DIMENSION OF FINITELY GENERATED MODULES

  • Bahmanpour, Kamal;Samani, Masoud Seidali
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.311-317
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    • 2018
  • Let (R, m) be a commutative Noetherian local ring and I be an ideal of R. In this paper it is shown that if cd(I, R) = t > 0 and the R-module $Hom_R(R/I,H^t_I(R))$ is finitely generated, then $$t={\sup}\{{\dim}{\widehat{\hat{R}_p}}/Q:p{\in}V(I{\hat{R}}),\;Q{\in}mAss{_{\widehat{\hat{R}_p}}}{\widehat{\hat{R}_p}}\;and\;p{\widehat{\hat{R}_p}}=Rad(I{\wideha{\hat{R}_p}}=Q)\}$$. Moreover, some other results concerning the cohomological dimension of ideals with respect to the rings extension $R{\subset}R[X]$ will be included.

WEAKLY KRULL AND RELATED PULLBACK DOMAINS

  • Chang, Gyu-Whan
    • The Pure and Applied Mathematics
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    • v.11 no.2
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    • pp.117-125
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    • 2004
  • Let T be an integral domain, M a nonzero maximal ideal of T, K = T/M, $\psi$: T \longrightarrow K the canonical map, D a proper subring of K, and R = $\psi^{-1}$(D) the pullback domain. Assume that for each $x \; \in T$, there is a $u \; \in T$ such that u is a unit in T and $ux \; \in R$, . In this paper, we show that R is a weakly Krull domain (resp., GWFD, AWFD, WFD) if and only if htM = 1, D is a field, and T is a weakly Krull domain (resp., GWFD, AWFD, WFD).

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Association of CAPN10 gene (rs3842570) polymorphism with the type 2 diabetes mellitus among the population of Noakhali region in Bangladesh: a case-control study

  • Munia Sultana;Md. Mafizul Islam;Md. Murad Hossain;Md. Anisur Rahman;Shuvo Chandra Das;Dhirendra Nath Barman;Farhana Siddiqi Mitu;Shipan Das Gupta
    • Genomics & Informatics
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    • v.21 no.3
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    • pp.33.1-33.11
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    • 2023
  • Type 2 diabetes mellitus (T2DM) is a multifactorial, polygenic, and metabolically complicated disease. A large number of genes are responsible for the biogenesis of T2DM and calpain10 (CAPN10) is one of them. The association of numerous CAPN10 genetic polymorphisms in the development of T2DM has been widely studied in different populations and noticed inconclusive results. The present study is an attempt to evaluate the plausible association of CAPN10 polymorphism SNP-19 (rs3842570) with T2DM and T2DM-related anthropometric and metabolic traits in the Noakhali region of Bangladesh. This case-control study included 202 T2DM patients and 75 healthy individuals from different places in Noakhali. A significant association (p < 0.05) of SNP-19 with T2DM in co-dominant 2R/3R vs. 3R/3R (odds ratio [OR], 2.7; p=0.0014) and dominant (2R/3R) + (2R/2R) vs. 3R/3R (OR, 2.47; p=0.0011) genetic models was observed. High-risk allele 2R also showed a significant association with T2DM in the allelic model (OR, 1.67; p=0.0109). The genotypic frequency of SNP-19 variants showed consistency with Hardy-Weinberg equilibrium (p > 0.05). Additionally, SNP-19 genetic variants showed potential associations with the anthropometric and metabolic traits of T2DM patients in terms of body mass index, systolic blood pressure, diastolic blood pressure, total cholesterol, and triglycerides. Our approach identifies the 2R/3R genotype of SNP-19 as a significant risk factor for biogenesis of T2DM in the Noakhali population. Furthermore, a large-scale study could be instrumental to correlate this finding in overall Bangladeshi population.

Analysis of Shear Buckling Stresses for Steel Pipes by Detailed Parametric Study (매개변수해석을 통한 원형 강관의 전단좌굴응력 상세분석)

  • Mha, Ho-Seong;Cho, Kwang Il
    • Journal of Korean Society of Steel Construction
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    • v.25 no.5
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    • pp.579-585
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    • 2013
  • Shear buckling stresses of steel pipes due to the lateral forces have been analyzed via parametric analysis. Detailed FEM models are prepared, and steel types, thickness, radii and length of steel pipes are selected as parameters. STK400, STK490 and SM570 are used and the thickness of pipe is 2mm and 40mm. The radii(R) and lengths(L) are determined based on the values satisfying the following relationship as R/t=20~400 and L/R=1~3. The shear buckling stresses decrease for all types of considered steels as R/t increase from 20 to 200. High strength steels are more sensitive to R/t, and also have an bigger effect on shear buckling stresses than low strength steels. It is found that shear buckling stresses decrease as L/R increases, showing that the steel pipes become weak as the length of the steel pipe increases.

Effects of GA3 on RNA Biosynthesis in Germinating Maize Seeds (발아중인 옥수수 종자내에서 RNA의 생합성에 미치는 의 효과)

  • 정상호
    • Journal of Plant Biology
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    • v.26 no.1
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    • pp.1-6
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    • 1983
  • In order to investigate the effects of GA3 on RNA biosynthesis, the amounts of rRNA and tRNA in germinating maize seeds were measured. The amount of rRNA in the endospermless seedlings was remarkably increased by GA3 tretment after 48 h of germination, but no effect was observed after 12 h of germination. While the amout of rRNA in 0.5 cm shoots in length was decreased by GA3 treatment, both of the amounts of rRNA and tRNA were increased in 1~1.5 cm shoots. According to the above mentioned results, it may be suggested that RNA biosynthesis is affected by GA3 treatment, and that GA3 participates in the biosynthesis of rRNA rather than tRNA in germinating maize seeds.

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