• 제목/요약/키워드: 2-primal

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ON RINGS WHOSE ESSENTIAL MAXIMAL RIGHT IDEALS ARE GP-INJECTIVE

  • Jeong, Jeonghee;Kim, Nam Kyun
    • 대한수학회논문집
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    • 제37권2호
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    • pp.399-407
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    • 2022
  • In this paper, we continue to study the von Neumann regularity of rings whose essential maximal right ideals are GP-injective. It is proved that the following statements are equivalent: (1) R is strongly regular; (2) R is a 2-primal ring whose essential maximal right ideals are GP-injective; (3) R is a right (or left) quasi-duo ring whose essential maximal right ideals are GP-injective. Moreover, it is shown that R is strongly regular if and only if R is a strongly right (or left) bounded ring whose essential maximal right ideals are GP-injective. Finally, we prove that a PI-ring whose essential maximal right ideals are GP-injective is strongly π-regular.

비육돈에서 사료의 에너지 수준과 도살체중이 성장성적과 도체의 등급 및 육질특성에 미치는 영향 (Effects of Dietary Energy Level and Slaughter Weight on Growth Performance and Grades and Quality Traits of the Carcass in Finishing Pigs)

  • 박만종;정진연;하덕민;한정철;심태건;박병철;박구부;주선태;이철영
    • Journal of Animal Science and Technology
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    • 제51권2호
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    • pp.143-154
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    • 2009
  • 생체중 $80.2\pm0.2$ kg의(Y $\times$ L) $\times$ D 교잡종 암퇘지와 거세돼지에게 "중에너지" 혹은 "저에너지" (3.2 vs 3.0 Mcal DE/kg) 사료를 급여하고 110, 125, 혹은 138 kg에 도축한 다음 이들 도체의 주요 부분육에 대한 이화학적 및 관능 품질 특성을 2(성) $\times$ 2 (사료) $\times$ 3 (도살체중) 요인분석 실험 설계 하에 본 실험을 수행하였다. 일당증체량과 일당사료 섭취량은 암퇘지에서보다 거세돼지에서 컸고(P<0.01), 110 kg 도살체중 구보다 125 및 138 kg 구가 컸다(P<0.01). 또한 일당증체량과 사료효율은 중에너지 구가 저에너지 구보다 컸던(P<0.01) 반면 일당사료섭취량은 저에너지 구가 중에너지 구보다 컸다(P<0.01). 등지방두께는 도살체중이 증가할수록 증가하였으나(P<0.01) 성 혹은 사료의 영향을 받지는 않았다. 도체의 지방침착도는 암퇘지와 저에너지 구가 각각 거세돼지와 중에너지 구보다 높았다(P<0.01). 육질등급은 저에너지 구가 중에너지 구보다 우수하였으나 도살체중의 영향은 받지 않은 반면 육량등급은 일차적으로 A와 B 등급에 요구되는 도체중 상한선 때문에 도살체중 125 kg과 138 kg 사이 급격히 저하되었다. 삼겹살, 뒷다리 및 등심의 pH, 육즙참출율 및 색깔관련 변수 등을 포함한 이화학적 특성에 있어서는 비록 몇몇 경우에는 통계적인 유의성이 발견되기는 하였으나 품질적인 척도에 있어서는 어느 처리요인의 영향도 받지 않았다. 관능평가에서 삼겹살 신선육의 기호도는 어느 처리 요인에 의해서도 영향 받지 않았다. 뒷다리 신선육의 상강도는 중에너지 대비 저에너지 구에서 높았고(P<0.01) 도살체중 110 kg과 125 kg 사이 증가하는 경향을 보였으며(P=0.10), 등심에서는 이들 두 도살체중 사이 본 변수의 증가는 유의성이 있었다(P<0.01). 가열육에서는 삼겹살과 뒷다리의 기호도에서 저에너지 구가 중에너지 구보다 우수하였으나 도살체중은 세 부위 모두에서 본 연구에서 평가된 모든 관능품질 특성에 영향을 미치지 않았다. 결론적으로 이상의 결과는 도체의 품질을 저하시키지 않고 도살체중을 138 kg 까지 높일 수 있고, 저에너지 사료는 도체 및 주요 부분육 품질에 다소간의 유익한 효과가 있음을 시사한다.

High Performance Hybrid Direct-Iterative Solution Method for Large Scale Structural Analysis Problems

  • Kim, Min-Ki;Kim, Seung-Jo
    • International Journal of Aeronautical and Space Sciences
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    • 제9권2호
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    • pp.79-86
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    • 2008
  • High performance direct-iterative hybrid linear solver for large scale finite element problem is developed. Direct solution method is robust but difficult to parallelize, whereas iterative solution method is opposite for direct method. Therefore, combining two solution methods is desired to get both high performance parallel efficiency and numerical robustness for large scale structural analysis problems. Hybrid method mentioned in this paper is based on FETI-DP (Finite Element Tearing and Interconnecting-Dual Primal method) which has good parallel scalability and efficiency. It is suitable for fourth and second order finite element elliptic problems including structural analysis problems. We are using the hybrid concept of theses two solution method categories, combining the multifrontal solver into FETI-DP based iterative solver. Hybrid solver is implemented for our general structural analysis code, IPSAP.

A robust nonlinear mathematical programming model for design of laterally loaded orthotropic steel plates

  • Maaly, H.;Mahmoud, F.F.;Ishac, I.I.
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.223-236
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    • 2002
  • The main objective of the present paper is to address a formal procedure for orthotropic steel plates design. The theme of the proposed approach is to recast the design procedure into a mathematical programming model. The objective function to be optimized is the total weight of the structure. The total weight is function of its layout parameters and structural element design variables. Mean while the proposed approach takes into consideration the strength and rigidity criteria in addition to other dimensional constraints. A nonlinear programming model is developed which consists of a nonlinear objective function and a set of implicit/explicit nonlinear constraints. A transformation method is adopted for minimization strategy, where the primal model constrained problem is transformed into a sequence of unconstrained minimization models. The search strategy is based on the well-known Fletcher/Powell algorithm. The finite element technique is adopted for discretization and analysis strategies. Mindlin theory is selected to simulate the finite element model and a selective reduced integration scheme is exploited to avoid a shear lock problem.

On the Relationship between Zero-sums and Zero-divisors of Semirings

  • Hetzel, Andrew J.;Lufi, Rebeca V. Lewis
    • Kyungpook Mathematical Journal
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    • 제49권2호
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    • pp.221-233
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    • 2009
  • In this article, we generalize a well-known result of Hebisch and Weinert that states that a finite semidomain is either zerosumfree or a ring. Specifically, we show that the class of commutative semirings S such that S has nonzero characteristic and every zero-divisor of S is nilpotent can be partitioned into zerosumfree semirings and rings. In addition, we demonstrate that if S is a finite commutative semiring such that the set of zero-divisors of S forms a subtractive ideal of S, then either every zero-sum of S is nilpotent or S must be a ring. An example is given to establish the existence of semirings in this latter category with both nontrivial zero-sums and zero-divisors that are not nilpotent.

Assessment of growth performance and meat quality of finishing pigs raised on the low plane of nutrition

  • Choi, Jung Seok;Jin, Sang-Keun;Lee, C. Young
    • Journal of Animal Science and Technology
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    • 제57권10호
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    • pp.37.1-37.9
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    • 2015
  • This study was performed to investigate the effects of the low plane of nutrition on growth and meat quality of finishing pigs. A total of 136 crossbred barrows and gilts weighing approximately 55 kg were allotted to 8 pens, with 17 animals housed per pen, in a 2 (sex) ${\times}$ 2 (nutrition) factorial arrangement of treatments. The animals allotted to a medium plane of nutrition (MPN) received a finisher phase 1 (P1) diet containing 3.47 Mcal DE/kg and 0.92 % lysine and a P2 diet containing 3.40 Mcal DE/kg and 0.78 % lysine for 35 d and 36/43 d, respectively; the animals allotted to the low plane of nutrition (LPN) received only a P2 diet containing 3.00 Mcal DE/kg and 0.68 % lysine 7 d longer than MPN. The animals were slaughtered following the feeding trial, after which the loin, ham, Boston butt, and belly were taken from a total of 24 animals, with the average live weight being 120 kg, and their physicochemical and sensory quality traits were analyzed. Average daily gain did not differ between MPN and LPN during either P1 or P2. Average daily feed intake was greater (P < 0.05) in LPN vs. MPN during both phases whereas the opposite was true for the gain:feed ratio. Backfat thickness (BFT) was less in LPN vs. MPN (21.7 vs. 24.1 mm at 115 kg). The plane of nutrition influenced no effect on any of the physicochemical characteristics of fresh loin, ham, or Boston butt analyzed in the present study. Fresh hams from LPN exhibited superior aroma and odor scores than those from MPN; however, sensory quality traits were not influenced by the plane of nutrition in other fresh primal cuts or cooked meat. Instead, fresh primal cuts and cooked meat from gilts rendered superior physicochemical characteristics and sensory scores, respectively, than those from barrows. Results suggest that the low plane of nutrition may be useful to increase the slaughter weight of finishing pigs with a moderately high BFT by virtue of its BFT-lowering effect with or without exerting a slightly positive influence on pork quality.

사질(砂質)밭에서 토양개량제(土壤改良劑) 처리(處理)가 토양(土壤特性)과 대두수량(大豆收量)에 미치는 영향(影響) (Effects of Soil Conditioners Application on the Change of Soil Properties and Soybean Yield in a Sandy Loam Soil)

  • 허봉구;조인상;엄기태
    • 한국토양비료학회지
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    • 제22권4호
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    • pp.296-300
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    • 1989
  • 양수분(養水分)의 보지능(保持能)이 낮은 사질(砂質)밭인 본량(本良) 사양토(砂壤土)에서 토양개량제(土壤改良劑)인 식양토(埴壤土) 및 Zeolite를 처리수준(處理水準)을 달리하여 대두(大豆)를 재배(栽培)했을때 토양(土壤)의 보비력(保肥力) 증진(增進)과 대두수양(大豆收量)에 미치는 영향(影響)을 구명(究明)하고자 1987년(年)부터 2년간(年間)의 포장시험(圃場試驗)과 개량제별(改良劑別) 실내시험(室內試驗)한 결과(結果)는 다음과 같다. 1. 사질토양(砂質土壤)에 점토함양(粘土含量) 32.8%인 식양토(埴壤土)와 양(陽)이온 치환용양(置換容量) 81.4me/100g인 Zeolite를 시용(施用)한 결과(結果) 대조구(對照區)에 비하여 양(陽)이온 치환용양(置換容量), 보수력(保水力)이 증가(增加)되고 용적밀도(容積密度)와 경도(硬度)는 낮아졌다. 2. 대두수양(大豆收量)은 대조구(對照區)가 166㎏/10a인데 비하여 식양토(埴壤土) 10ton/10a구(區)가 5%, 20ton/10a구(區) 7%, 점사함양(粘士含量) 15%조절구(調節區)가 8% 증수(增收)되었고, Zeolite처리(處理)는 6~10% 증수효과(增收效果)가 있었으며 2차년도(次年度)에도 그 효과(效果)가 계속(繼續)되었다. 3. K-SAM의 처리(處理)로 양수분(養水分) 보지력(保持力)은 크게 향상(向上)되었으며 토양입단(土壤粒團)의 안정성(安定性)은 AN-905SH, Primal 등(等)의 효과(效果)가 현저(顯著)하였다.

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PROXIMAL AUGMENTED LAGRANGIAN AND APPROXIMATE OPTIMAL SOLUTIONS IN NONLINEAR PROGRAMMING

  • Chen, Zhe;Huang, Hai Qiao;Zhao, Ke Quan
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.149-159
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    • 2009
  • In this paper, we introduce some approximate optimal solutions and an augmented Lagrangian function in nonlinear programming, establish dual function and dual problem based on the augmented Lagrangian function, discuss the relationship between the approximate optimal solutions of augmented Lagrangian problem and that of primal problem, obtain approximate KKT necessary optimality condition of the augmented Lagrangian problem, prove that the approximate stationary points of augmented Lagrangian problem converge to that of the original problem. Our results improve and generalize some known results.

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"Pool-the-Maximum-Violators" Algorithm

  • Kikuo Yanagi;Akio Kudo;Park, Yong-Beom
    • Journal of the Korean Statistical Society
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    • 제21권2호
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    • pp.201-207
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    • 1992
  • The algorithm for obtaining the isotonic regression in simple tree order, the most basic and simplest model next to the simple order, is considered. We propose to call it "Pool-the-Maximum-Violators" algorithm (PMVA) in conjunction with the "Pool-Adjacent-Violators" algorithm (PAVA) in the simple order. The dual problem of obtaining the isotonic regression in simple tree order is our main concern. An intuitively appealing relation between the primal and the dual problems is demonstrated. The interesting difference is that in simple order the required number of pooling is at least the number of initial violating pairs and any path leads to the solution, whereas in the simple tree order it is at most the number of initial violators and there is only one advisable path although there may be some others leading to the same solution.o the same solution.

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복수차고 복수차중 차량 일정 문제의 최적 해법 (An Exact Algorithm for the vehicle scheduling problem with multiple depots and multiple vehicle types)

  • 김우제;박우제
    • 한국경영과학회지
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    • 제13권2호
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    • pp.9-17
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    • 1988
  • This vehicle scheduling problem with multiple depots and multiple vehicle types (VMM) is to determine the optimal vehicle routes to minimize the total travel costs. The object of this paper is to develope an exact algorithm for the VMM. In this paper the VMM is transformed into a mathematical model of the vehicle problem with multiple depots. Then an efficient branch and bound algorithm is developed to obtain an exact solution for this model. In order to enhance the efficiency, this algorithm emphasizes the follows; First, a heuristic algorithm is developed to get a good initial upper bound. Second, an primal-dual approach is used to solve subproblems which are called the quasi-assignment problem, formed by branching strategy is presented to reduce the number of the candidate subproblems.

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