• 제목/요약/키워드: Mid ring

검색결과 82건 처리시간 0.03초

Prime Elements and Irreducible Polynomials over Some Imaginary Quadratic Fields

  • Singthongla, Patiwat;Kanasri, Narakorn Rompurk;Laohakosol, Vichian
    • Kyungpook Mathematical Journal
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    • 제57권4호
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    • pp.581-600
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    • 2017
  • A classical result of A. Cohn states that, if we express a prime p in base 10 as $$p=a_n10^n+a_{n-1}10^{n-1}+{\cdots}+a_110+a_0$$, then the polynomial $f(x)=a_nx^n+a_{n-1}x^{n-1}+{\cdots}+a_1x+a_0$ is irreducible in ${\mathbb{Z}}[x]$. This problem was subsequently generalized to any base b by Brillhart, Filaseta, and Odlyzko. We establish this result of A. Cohn in $O_K[x]$, K an imaginary quadratic field such that its ring of integers, $O_K$, is a Euclidean domain. For a Gaussian integer ${\beta}$ with ${\mid}{\beta}{\mid}$ > $1+{\sqrt{2}}/2$, we give another representation for any Gaussian integer using a complete residue system modulo ${\beta}$, and then establish an irreducibility criterion in ${\mathbb{Z}}[i][x]$ by applying this result.

Single-Feed Composite Cavity-Backed Four-Arm Curl Antenna

  • Ta, Son Xuat;Park, Ikmo
    • Journal of electromagnetic engineering and science
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    • 제14권4호
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    • pp.360-366
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    • 2014
  • A single-feed composite cavity-backed four-arm curl antenna is presented for use in global positioning systems (GPS). Its primary radiating element is fed by a vacant-quarter printed ring, which helps the antenna directly match to a $50-{\Omega}$ coaxial line and produce a good circular polarization (CP). The cavity-backed reflector is employed to improve the CP radiation characteristics in terms of 3-dB axial ratio (AR) beamwidth and minimum AR value. The optimized design with an overall size of $90{\times}90{\times}25mm^3$ ($0.4725{\lambda}_o{\times}0.4725{\lambda}_o{\times}0.13{\lambda}_o$ at 1,575 MHz) results in a ${\mid}S_{11}{\mid}<-10dB$ bandwidth of 8.66% (1,514-1,651 MHz) and a 3-dB AR bandwidth of 2.23% (1,555-1,590 MHz). The antenna radiates a widebeam right-hand circular polarization and operates with a measured radiation efficiency greater than 90% within its impedance matching bandwidth.

한국전통가구의 금속 손잡이 영문표기 연구 - 한국 및 서구를 중심으로 - (A Study on Terminology of Metal Handles in Traditional Korean Furniture - Focusing on Korean and Western Furniture -)

  • 문선옥
    • 한국가구학회지
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    • 제23권4호
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    • pp.449-459
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    • 2012
  • The article aims to making a comparison between traditional Korean and Western furniture metal handles to give the detail information of the handle terms by analyzing the related literature including internet and interviews. In terms of that, the Korean and Western metal handles are compared in the types, components, materials, methods, and terms affecting the development made by the craftsmen before the Industrial Revolution about the mid or late 18th century. As a result, first, ring and drop pull handles were mostly and wooden knobs were a little used to open the furniture doors and drawers. The Korean drop pulls, Deulswae, came out after the ring pulls, Gori, while the Western drops called loop or bail handles as well, came out before the ring pulls. Second, the components were composed by ring, Gori, loop or bail, Deulswae, Post, Baemok, washer, Baemokbatchim, and backplate, Deulswaebatchim. Most of the Western handles were fastened by the bolt and nut, while the post of two strips, Baemok, fastened the Korean metal handles. Third, the metal handles were created of brass and iron mostly, gilded gold and silver. Forth, the method were largely used by casting, engraving, forging, plating, and hammering in the Korean handles, and by casting, molding, engraving, and stamped in the Western handles. Finally, the terms such as "knobs, pulls, drops, ring and drop pulls, loop or bail handles, posts, washers, backplate, casting, molding, engraving, forging, plating, and stamped" were clarified by the two comparison in Korean and English.

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퇴행성 승모판막역류 환자에서 Partial Flexible Band와 Complete Rigid Ring을 이용한 승모판막 성형술의 중기 결과 비교 (Mid-Term Results of Mitral Valve Repair Using a Partial Flexible Band and a Completely Rigid Ring in Patients with Degenerative Mitral Regurgitation)

  • 김경환;안혁;황호영;최진호;김기봉
    • Journal of Chest Surgery
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    • 제43권5호
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    • pp.475-481
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    • 2010
  • 배경: 퇴행성 승모판막역류증으로 승모판막성형술을 받은 환자들 중에서 partial flexible band를 이용한 경우와 complete rigid ring을 이용한 경우의 중기 성적을 비교해 보고자 하였다. 대상 및 방법: 2004년 1월부터 2008년 9월 사이에 단독 승모판막역류증으로 승모판막수술을 받은 112명의 환자 중 퇴행성 질환으로 확진되고, 승모판막성형술 및 승모판막륜 링 삽입술을 시행 받은 71명의 환자(남:여=36:35, $55{\pm}13$세)를 대상으로 하였다. 환자들을 승모판막륜성형술에 partial flexible band를 이용한 I군(43명)과 Complete rigid ring을 이용한 II군(28명)으로 나누어 단기 및 중기 성적을 비교하였다. 두 군 간의 수술 전 특성에는 유의한 차이가 없었다. 추적관찰 기간의 중앙값은 36개월(2~69개월)이었다. 결과: 수술관련 사망은 없었으며, 심방세동(n=7), 저심박출 증후군(n=5)과 같은 수술 관련 합병증의 발생은 두 군 간 발생률의 차이가 없었고, II군에서 만기 사망이 1예 있었다. 4년 승모판막역류재발 자유 생존률은 I군과 II군에서 각각 94.5%와 91.8%였다(p=0.695). 좌심실 구출율은 수술 후 조기($7{\pm}2$일)에는 저하 되었고, 최종 추적관찰 시점($25{\pm}16$개월)에서 회복되었다(p=0.002). 이런 변화 추세는 양군에 차이가 없었다(p=0.905). 재수술은 3명의 환자(I군에서 1예, II군에서 2예, p=0.905)에서 시행되었다. 4년 판막 관련 사건 자유 생존률은 두 군 간에 차이가 없었다(I군 95.2% vs II군 92.6%, p=0.646). 결론: 승모판막륜 성형술에 사용되는 판막륜 링의 종류는 퇴행성 승모판막 역류증에 대한 승모판막 성형술의 중기 임상성적 및 기능결과에는 영향을 주지 않았다.

ON THE DIVISOR-CLASS GROUP OF MONADIC SUBMONOIDS OF RINGS OF INTEGER-VALUED POLYNOMIALS

  • Reinhart, Andreas
    • 대한수학회논문집
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    • 제32권2호
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    • pp.233-260
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    • 2017
  • Let R be a factorial domain. In this work we investigate the connections between the arithmetic of Int(R) (i.e., the ring of integer-valued polynomials over R) and its monadic submonoids (i.e., monoids of the form {$g{\in}Int(R){\mid}g{\mid}_{Int(R)}f^k$ for some $k{\in}{\mathbb{N}}_0$} for some nonzero $f{\in}Int(R)$). Since every monadic submonoid of Int(R) is a Krull monoid it is possible to describe the arithmetic of these monoids in terms of their divisor-class group. We give an explicit description of these divisor-class groups in several situations and provide a few techniques that can be used to determine them. As an application we show that there are strong connections between Int(R) and its monadic submonoids. If $R={\mathbb{Z}}$ or more generally if R has sufficiently many "nice" atoms, then we prove that the infinitude of the elasticity and the tame degree of Int(R) can be explained by using the structure of monadic submonoids of Int(R).

REGULAR ACTION IN ℤn

  • Jeong, Jinsun;Park, Sangwon
    • East Asian mathematical journal
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    • 제33권3호
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    • pp.257-263
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    • 2017
  • Let n be any positive integer and ${\mathbb{Z}}_n=\{0,1,{\cdots},n-1\}$ be the ring of integers modulo n. Let $X_n$ be the set of all nonzero, nonunits of ${\mathbb{Z}}_n$, and $G_n$ be the group of all units of ${\mathbb{Z}}_n$. In this paper, by investigating the regular action on $X_n$ by $G_n$, the following are proved : (1) The number of orbits under the regular action (resp. the number of annihilators in $X_n$) is equal to the number of all divisors (${\neq}1$, n) of n; (2) For any positive integer n, ${\sum}_{g{\in}G_n}\;g{\equiv}0$ (mod n); (3) For any orbit o(x) ($x{\in}X_n$) with ${\mid}o(x){\mid}{\geq}2$, ${\sum}_{y{\in}o(x)}\;y{\equiv}0$ (mod n).

KRONECKER FUNCTION RINGS AND PRÜFER-LIKE DOMAINS

  • Chang, Gyu Whan
    • Korean Journal of Mathematics
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    • 제20권4호
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    • pp.371-379
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    • 2012
  • Let D be an integral domain, $\bar{D}$ be the integral closure of D, * be a star operation of finite character on D, $*_w$ be the so-called $*_w$-operation on D induced by *, X be an indeterminate over D, $N_*=\{f{\in}D[X]{\mid}c(f)^*=D\}$, and $Kr(D,*)=\{0\}{\cup}\{\frac{f}{g}{\mid}0{\neq}f,\;g{\in}D[X]$ and there is an $0{\neq}h{\in}D[X]$ such that $(c(f)c(h))^*{\subseteq}(c(g)c(h))^*$}. In this paper, we show that D is a *-quasi-Pr$\ddot{u}$fer domain if and only if $\bar{D}[X]_{N_*}=Kr(D,*_w)$. As a corollary, we recover Fontana-Jara-Santos's result that D is a Pr$\ddot{u}$fer *-multiplication domain if and only if $D[X]_{N_*} = Kr(D,*_w)$.

A remark on p-adic q-bernoulli measure

  • Kim, Han-Soo;Lim, Pil-Sang;Kim, Taekyun
    • 대한수학회보
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    • 제33권1호
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    • pp.39-44
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    • 1996
  • Throughout this paper $Z^p, Q_p$ and C_p$ will denote the ring of p-adic rational integers, the field of p-adic rational numbers and the completion of the algebraic closure of $Q_p$, respectively. Let $v_p$ be the normalized exponential valuation of $C_p$ with $$\mid$p$\mid$_p = p^{-v_p (p)} = p^{-1}$. We set $p^* = p$ for any prime p > 2 $p^* = 4 for p = 2$.

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NATURAL FILTRATIONS OF SOME PLETHYSMS

  • Kim, Young-Hie;Ko, Hyoung J.;Lee, Kyung-Ae
    • 대한수학회보
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    • 제37권1호
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    • pp.191-207
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    • 2000
  • Let R be a ommutative ring with unity and F a finite free R-module. For a nonnegative integer r, there exists a natural filtration of$S_r(S_2F)$ such that its associated graded module is isomorphic to $\Sigma_{{\lambda}{\epsilon}{\tau}_r}\;L_{\lambda}F$, where ${\Gamma}_{\gamma}$ set of partitions such that $$\mid${\lambda}$\mid$-2r,{{\widetilde}{\lambda}}-{{\widetilde}{\lambda}}_1},...,{{\widetilde}{\lambda}}_k},\;each\;{{\widetilde}{\lambda}}_t}$,is even. We call such filtrations plethysm formulas. We extend the above plethysm formula to the version of chain complexes. By plethysm formula we mean the composition of universally free functors. $Let{\emptyset}:G->F$ be a morphism of finite free R-modules. We construct the natural decomposition of $S_{r}(S_2{\emptyset})$,up to filtrations, whose associated graded complex is isomorphic to ${\Sigma}_{{\lambda}{\varepsilon}{\tau}}_r}\;L_{\lambda}{\emptyset}$.

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Monsoonal Precipitation Variation in the East Asia: Tree-Ring Evidences from Korea and Inner Mongolia

  • Park, Won-Kyu;Liu Yu
    • 한국제4기학회지
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    • 제17권2호
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    • pp.63-69
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    • 2003
  • Three tree-ring monsoon rainfall reconstructions from China and Korea have been used in this paper to investigate the variation of the East Asian summer monsoon over the past 160 years. Statistically, there is no linear correlation on a year-by-year basis between Chinese and Korean monsoon rainfall, but region-wide synchronous variation on decadal-scale was observed. Strong monsoon intervals (more rainfall) were 1860-1890, 1910-1925,1940-1960, and weak monsoon periods (dry or even drought) were 1890-1910, 1925-1940, 1960- present. Reconstructions also display that the East Asian summer monsoon suddenly changed from strong into weak around mid-1920, and the East Asian summer monsoon keeps going weak after 1960.

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