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SOME CLASSES OF REPEATED-ROOT CONSTACYCLIC CODES OVER 𝔽pm+u𝔽pm+u2𝔽pm

  • Liu, Xiusheng;Xu, Xiaofang
    • Journal of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.853-866
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    • 2014
  • Constacyclic codes of length $p^s$ over $R=\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+u^2\mathbb{F}_{p^m}$ are precisely the ideals of the ring $\frac{R[x]}{<x^{p^s}-1>}$. In this paper, we investigate constacyclic codes of length $p^s$ over R. The units of the ring R are of the forms ${\gamma}$, ${\alpha}+u{\beta}$, ${\alpha}+u{\beta}+u^2{\gamma}$ and ${\alpha}+u^2{\gamma}$, where ${\alpha}$, ${\beta}$ and ${\gamma}$ are nonzero elements of $\mathbb{F}_{p^m}$. We obtain the structures and Hamming distances of all (${\alpha}+u{\beta}$)-constacyclic codes and (${\alpha}+u{\beta}+u^2{\gamma}$)-constacyclic codes of length $p^s$ over R. Furthermore, we classify all cyclic codes of length $p^s$ over R, and by using the ring isomorphism we characterize ${\gamma}$-constacyclic codes of length $p^s$ over R.

개심술에 관한 연구1979년도 320례 분석

  • 이영균
    • Journal of Chest Surgery
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    • v.13 no.1
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    • pp.1-12
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    • 1980
  • In 1979 during the period of about 10 months 320 cases of open heart surgery were done in Seoul National University Hospital. There were 220 Congenital anomaly cases consisting of 113 acyanotic and 107 cyanotic varieties, and 1 O0 acquired cardiac lesions. Out of 100 acquired lesions 96 were valvular cues. Among 97 valve replacement cases 3 were Ebstein anomaly treated with plication and tricuspid valve replacement. Operative mortality rate for congenital anomaly was 10.6%, with 2.7% for acyanotic and 22.4% for cyanotic group. For acquired lesions over all operative mortality was 7%. Tetralogy of Fallot, ventricular septal defect, and atrial septal defect were the 3 main congenital anomalies, with 88 cues, 69 cases, and 27 cues respectively. In 61 simple ventricular septal defect without other anomalies operative mortality rate was 1.6%, in 27 atrial septal defect no death and, in tetralogy of Fallot 12.2%. Among 69 ventricular septal defect cases 19[27.5%] type I VSDs, after Kirklin-Becu classification, were found, rather high relative incidence of type I compared with Caucasian patients. Among 97 valve replacement cases 20 double valves were replaced-11 mitral with aortic and 9 mitral with tricuspid valves. Over all operative mortality rate for valve replacement was 8.2% with 3.3% in 61 mitral valve replace-merit. The over all operative mortality rate for 320 open heart surgery cases was 10.6%. Bubble type oxygenator and xenograft bioprosthetic valves were utilized In almost all cases.

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A Study on the Shelf-life of Sausages in Refrigerated Storage (냉동 온도에서 소시지의 저장 수명에 관한 연구)

  • 이용욱;김종규
    • Journal of Food Hygiene and Safety
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    • v.10 no.2
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    • pp.111-131
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    • 1995
  • Quality changes of sausages in refrierated storage for 60 days were investigated. Nine types of sausages produced in Korea were stored at 4$^{\circ}C$(3~5$^{\circ}C$), and then chemical, microbiological, and sensory characteristics were evaluated on every 10 days. The proximate analysis showed considerable variation in fat (23.97%, 17.10~30.20%) with less variation in moisture (51.96%, 48.10~56.30%) and protein (12.96%, 11.40~13.95%), pH value decreased over time averaging from 6.31 to 6.22 with no significant difference. Water activity was consistent over refrigerated storage averaging 0.95. Volatile basic nitrogen (VBN) values were still within 20 mg% though VBN for all types significantly increased over time (p<0.05). Thiobarbituric acid (TBA) values were well below 1.0 though TBA showed significant differences among storage periods (p<0.05). Standard plate counts (SPCs) significantly increased during storage (p<0.05) while coliform group was not counted in all cases. SPCs reached 104 CFU/g in two types after 50 days' storage and were below 105 CFU/g in all types after 60 days' storage. Instrumental texture analysis showed that springiness, adhesiveness, and hardness signficantly decreased over time (p<0.05) while no change was observed in external color. significantly decreased over time the 60-day storage period (p<0.05) while cohesiveness, chewiness and gumminess did not change. Lightness, redness and yellowness of the internal Hunter color significantly decreased over time (p<0.05) while no change was observed in external color. Sensory profile showed that flavor, taste, texture and overall acceptable after 60 days' storage at 4$^{\circ}C$. However, the shelf-life of the samples should be decided in the consideration of the growth rate other spoilage flora coupled with the bacterial growth after 50 days' storage.

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각종(各種) 소화기(消化器) 증상(症狀)에 대(對)한 HPS-A의 임상(臨床) 치험(治驗)

  • Mun Gu;Kim Se-Gil
    • Journal of Oriental Neuropsychiatry
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    • v.3 no.1
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    • pp.91-106
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    • 1992
  • The effectiveness, the safety and the usefulness of HPS-A(An Jung San with Chyag Yag Kam Cho Tang), herbal digestive, was examined on 32 patients complained digestive symptoms. This medicine was administered 1 package per 1 time 3 times per 1 day, during 2 weeks. From the examination of the improvemnt and the safety mainly by subjective symptoms, the usefulness was gained. The results were as follows ; 1. In the improvement rate of susbjective symptoms, high rate symptoms was gastric distension, anorexia, heart burn, gastric discomport, dyspepsia, acrid eructation, indigestion, nausea. 2. The improvment over moderate effective was 85.7% after 1 week 96.4% after 2 weeks. The 4 cases breaked medicine during experimental period were all over moderate offectiveness. 3. There weren't any cases complaind particular problem about safety except for 1 case complained mild pushing up of heat. There weren't also any side effect of medicine on common blood count, blood chemistry and urinalysis. 4. In the dicision of usefulness, 19cases(59.4%) were usefulnesss, 12cases(37.5%) were moderate usefulness, 1 case was uselessness(3.1%). So the cases over moderate usefulness were 31 and rate was 96.9%. 5. The usefulness rates according to physical features were all over 95.5% in sturdiness, middle feature and infirmity. So the rates were no relations with the features. 6. The usefulness rates over moderate usefulness according to total seriousness were all over 90% in high, middle, and mild cases. So the rates were no relations with the seriousness. Totally HPS-A was a medicine that was highly effective, safe and useful to patients complained various digestive symptomes.

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Concept Design of Download Over-the-Air functions for IoF-Cloud based distributed IoT device (IoF-Cloud 기반 분산된 IoT 장비들을 위한 Download Over-the-Air 기능의 개념 설계)

  • Cha, ByungRae;Choi, MyeongSoo;Park, Sun;Kim, HyeongGyun;Kim, YongIl;Kim, JongWon
    • Smart Media Journal
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    • v.5 no.4
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    • pp.9-17
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    • 2016
  • Over the next 20 years it will begin the exodus from the Internet and smart phones to the Internet of Things. The heart of IoT gives new utility and value with connectivity among things around people to the human. In future, Industrial environment will be intimately connect all among machines and machines or factories and factories in all processing, and by digitizing of all goods and production life-cycle, which is a combination of virtual world and real world, the digital factory will become reality eventually. The proposed IoT or IIoT based Download OTA (Over-the-Air) provides a flexible mechanism for downloading Media objects of any type and size from a network. Moreover, proposed IoT based DLOTA provides a part of security by lightweight encryption, OTP, and CapBAC technique.

JOINT SPATIAL NUMERICAL RANGES OF OPERATORS ON BANACH SPACES

  • Yang, Youngoh
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.119-126
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    • 1989
  • Throughout this paper, X will always denote a Banach space over the complex numbers C, and L(X) will denote the Banach algebra of all continuous linear operators on X. Operator will always mean continuous linear operator. An n-tuple of operators T$_{1}$,..,T$_{n}$ on X will be denoted by over ^ T=(T$_{1}$,..,T$_{n}$ ). Let L$^{n}$ (X) be the set of all n-tuples of operators on X. X' will denote the dual space of X, S(X) its unit sphere and .PI.(X) the subset of X*X' defined by .PI.(X)={(x,f).mem.X*X': ∥x∥=∥f∥=f(x)=1}.

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Domination preserving linear operators over semirings

  • Lee, Gwang-Yeon;Shin, Hang-Kyun
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.335-342
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    • 1996
  • Suppose $k$ is a field and $M$ is the set of all $m \times n$ matrices over $k$. If T is a linear operator on $M$ and f is a function defined on $M$, then T preserves f if f(T(A)) = f(A) for all $A \in M$.

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NONBIJECTIVE IDEMPOTENTS PRESERVERS OVER SEMIRINGS

  • Orel, Marko
    • Journal of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.805-818
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    • 2010
  • We classify linear maps which preserve idempotents on $n{\times}n$ matrices over some classes of semirings. Our results include many known semirings like the semiring of all nonnegative integers, the semiring of all nonnegative reals, any unital commutative ring, which is zero divisor free and of characteristic not two (not necessarily a principal ideal domain), and the ring of integers modulo m, where m is a product of distinct odd primes.

Dynamic analysis of TRIGA Mark-II reactor (TRIGA Mark-II 원자로의 동특성 해석)

  • 이양수
    • 전기의세계
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    • v.14 no.6
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    • pp.8-13
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    • 1965
  • The TRIGA Mark-II Reactor is very simple to analyze the dynamic characteristics, so that the heat transfer function of the reactor fuel rod is able to be considered as a over-all feedback transfer function. The heat transfer dynamics of the fuel rod is derived under some assumptions. And the over-all reactor transfer function is analytically calcu- lated and it is compared with the measured value. The reactor dynamics and the stability are analyzed by means of the Root-Locus and the Nyquist.

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