• 대한수학회보
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• 제37권4호
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• pp.843-854
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• 2000

S. Turner has shown that a Neron symbol can be calculated from the values of K-meromorphic theta functions corresponding to divisors on K-holomorphic torus of strongly diagonal type. Using an isogeny to a K-holomorphic torus of strongly diagonal type, he constructed a Neron symbol on K-holomorphic torus of diagonal type. In this work, we provide a simple formula of the Neron symbol on the Tate curve. And then we construct the Neron symbol on K-holomorphic torus of diagonal or st rongly diagonal type without using isogenies.

• East Asian mathematical journal
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• 제36권3호
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• pp.425-435
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• 2020

We explore the Pauli table C^(-1) and nonzero Pauli table W. Recurrence rules and interrelationships of any k slope diagonal sums over C^(-1) and W are studied in connection with diagonal sums of the Pascal table C⁽¹⁾. Since diagonal sums of C⁽¹⁾ are Fibonacci numbers, any k slope diagonal sums over C^(-1) and W are explained by Fibonacci numbers.

• 터널과지하공간
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• 제19권1호
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• pp.11-18
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• 2009

원자력 에너지를 이용할 때 필연적으로 방사성 폐기물이 발생된다. 방사성폐기물을 처분하기 위한 처분장은 주로 외부와 단절된 지하공간을 이용하며 방사성폐기물을 거치할 수 있는 Diagonal system을 기본으로 하며, 시스템에 발생된 열을 재기하기 위해서는 환기시설이 필수적이다. 따라서 본 연구에서는 Diagonal system에서 공기 조절기의 위치와 크기를 변화시켜 Diagonal branch로 흐르는 공기의 풍속을 측정하였다. 그 결과 Diagonal branch를 지나는 풍속은 중간에 위치한 공기 조절기의 크기에 관계없이 처음과 마지막 공기 조절기의 크기에 의해서 결정되었다. 따라서 일정한 유랑을 Diagonal branch에 주입하기 위해서는 처음과 마지막 공기 조절기를 설치하여 총 유량을 결정한 후 중간지점에 공기 조절기를 설치하여야 한다.

• Smart Structures and Systems
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• 제15권3호
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• pp.523-541
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• 2015

Structural health monitoring of steel truss bridge based on changes in modal properties was investigated in this study. Vibration measurements with five sensors were conducted at an existing Warren truss bridge with partial fractures in diagonal members before and after an emergency repair work. Modal properties identified by the Eigensystem Realization Algorithm showed evidences of increases in modal damping due to the damage in diagonal member. In order to understand the dynamic behavior of the bridge and possible mechanism of those increases in modal damping, theoretical modal analysis was conducted with three dimensional frame models. It was found that vibrations of the main truss could be coupled internally with local vibrations of diagonal members and the degree of coupling could change with structural changes in diagonal members. Additional vibration measurements with fifteen sensors were then conducted so as to understand the consistency of those theoretical findings with the actual dynamic behavior. Modal properties experimentally identified showed that the damping change caused by the damage in diagonal member described above could have occurred in a diagonal-coupled mode. The results in this study imply that damages in diagonal members could be detected from changes in modal damping of diagonal-coupled modes.

• PNF and Movement
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• 제22권1호
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• pp.151-158
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• 2024

Purpose: The present study investigated how variations in diagonal exercises affect shoulder muscle activity, examining changes in neuromuscular activation during scapular and shoulder diagonal patterns of exercises. Furthermore, we explored whether the exercise phase affects muscle activation. Methods: Sixteen asymptomatic male participants were recruited. Four diagonal pattern exercises (scapular anterior elevation, posterior elevation, flexion-adduction-external rotation, flexion, abduction-external rotation), and two exercise phases (concentric and eccentric) were administered. Surface electromyography data were collected. Results: Upper trapezius activity was significantly higher during the concentric phase of scapular posterior elevation exercises compared with the others (p<0.05). The serratus anterior, anterior deltoid, and infraspinatus activities were significantly higher during shoulder diagonal pattern exercises compared with the scapular diagonal pattern exercises (p<0.05). Except for the lower trapezius, muscular activities during the concentric phase were significantly greater compared with the eccentric phase (p<0.05). Conclusion: The current study suggests that the diagonal pattern of exercise may contribute to selective strengthening of the shoulder complex muscles and that the form of exercise should be tailored to the subject. It also suggests that diagonal exercises with concentric contractions tend to be more beneficial than eccentric contractions for overall muscle recruitment, but the effects vary for specific diagonal patterns.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2006년도 춘계학술대회 논문집
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• pp.287-288
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• 2006

This paper introduces an approach of method to compensate accuracy error of diagonal direction. The measurement of squareness error is an important parameter in performance test of two axis Linear Motor and this exerts influence on accuracy error of diagonal test. However, previous knowledge management approaches are limited in deviation measurement of optical axis or restrictive elements of diagonal measurements using laser interferometer. But this proposed method calculated diagonal accuracy error which was occurred by squareness error and compensated squareness error using orthogonal correction method of PMAC. From this result, diagonal accuracy error is significantly reduced. This experimental results show that geometric error of squareness error is easily corrected by dynamic coordinate correction.

• Structural Engineering and Mechanics
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• 제6권5호
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• pp.517-527
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• 1998

This paper describes an exact method of analysis for natural vibration of diagonal networks by considering an equivalent cyclic periodic structure and adopting the double U-transformation technique. Both a lumped mass system and a distributed mass system are considered to investigate the diagonal networks. The exact solution for the frequency equations and the natural modes of the networks can be derived. As numerical examples, square diagonal cable networks with different meshes are worked out.

• Korean Journal of Mathematics
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• 제27권3호
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• pp.723-734
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• 2019

We study the negative trinomial table T' of $(x^2+x+1)^{-n}$ and its t/u-slope diagonals for any t, u > 0. We investigate recurrence formula of the t/u-slope diagonal sums of T' and find interrelationships with t/u-slope diagonal sums of the trinomial table T.

• 터널과지하공간
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• 제22권3호
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• pp.173-180
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• 2012

본 연구에서는 방사성 폐기물 처분장 설계 시 필요할 수 있는 공기 유동 방향의 제어에 이점을 가진 Diagonal 환기 회로에 대해서 연구하였다. 연구 결과, Diagonal 환기 회로에서도 Diagonal 갱도(Branch)로 유입시킬 공기량과 공기 유동 방향을 미리 정한다면 다른 직 병렬 회로와 마찬가지로 수식이나 프로그램에 의한 공기량을 산정할 수 있음을 알 수 있었다. 이를 적용하기 위해 앞으로 처분될 고준위 방사성 폐기물의 추정 데이터를 통해 Diagonal 환기 회로와 병렬식 환기 회로가 적용된 고준위 방사성 폐기물 처분장의 설계안을 마련하였다. 마련된 설계안 별 비교 및 예상 운영 결과를 얻기 위해서 환기 네트워킹 프로그램인 Ventsim 프로그램을 통해 환기 네트워크 시뮬레이션을 수행하였다. 그 결과 저항 증가가 큰 수치로 발생할 것으로 예상되었던 Diagonal 처분장은 병렬식 환기 회로가 적용된 처분장과 비교하였을 때, 팬 압력은 1570 pa, 총 유량 84 $m^3/s$, 팬 효율 76.4%, 팬 소요 전력 181.2 kW 및 연간 팬 운영 비용 178,710,838원으로 압력과 유량값에서 최대 8% 정도의 차이를 보였고, 운영 비용 측면에서는 1.5%의 차이를 보였다.

• PNF and Movement
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• 제21권1호
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• pp.87-94
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• 2023

Purpose: The present study aims to investigate the effects of a diagonal exercise pattern on selective activation of the upper extremity muscles using both normalization and isolation methods. Methods: In total, 17 asymptomatic subjects participated in this study. During the two diagonal patterns of exercise (diagonals 1 and 2), muscular activities of the upper trapezius (UT), lower trapezius (LT), serratus anterior (SA), anterior deltoid (AD), and infraspinatus (IS) were measured. The collected data were analyzed in two ways, according to the dominance of muscle activities (%Isolation) and according to normalized activities (%MVIC). Results: There were significant differences in LT, SA, AD, and IS between %MVIC and %Isolation (p<0.05), and the diagonal 1 pattern of exercise showed significantly more LT activities compared with the diagonal 2 pattern (p<0.05). Further, except for LT, there were no significant differences in muscle activities between the diagonal 1 and 2 exercises. Conclusion: The present study suggests that a diagonal pattern of exercise is advantageous for strengthening shoulder muscles, but caution is needed when applying to patients requiring selective strengthening. Regarding both the concentric and eccentric phases of exercise, there was no significant difference in muscular activation, except in LT, between the two diagonal patterns of exercises.