• Journal of Korean Society of Transportation
• /
• v.20 no.3
• /
• pp.129-147
• /
• 2002

This paper presents a variational equality formulation by Providing new dynamic route choice condition for a link-based dynamic traffic assignment model. The concepts of used paths, used links, used departure times are employed to derive a new link-based dynamic route choice condition. The route choice condition is formulated as a time-dependent variational equality problem and necessity and sufficiency conditions are provided to prove equivalence of the variational equality model. A solution algorithm is proposed based on physical network approach and diagonalization technique. An asymmetric network computational study shows that ideal dynamic-user optimal route condition is satisfied when the length of each time interval is shortened. The I-394 corridor study shows that more than 93% of computational speed improved compared to conventional variational inequality approach, and furthermore as the larger network size, the more computational performance can be expected. This paper concludes that the variational equality could be a promising approach for real-time application of a dynamic traffic assignment model based on fast computational performance.

• Education of Primary School Mathematics
• /
• v.27 no.1
• /
• pp.39-55
• /
• 2024

Recently, the 2022 revised mathematics curriculum has established achievement standards for equal sign and equality, and efforts have been made to examine teaching methods and student understanding of relational understanding of equal sign. In this context, this study conducted a lesson that emphasized relational understanding in an introduction to equal sign, and compared and analyzed the understanding of equal sign between the experimental group, which participated in the lesson emphasizing relational understanding and the control group, which participated in the standard lesson. For this purpose, two classes of students participated in this study, and the results were analyzed by administering pre- and post-tests on the understanding of equal sign. The results showed that students in the experimental group had significantly higher average scores than students in the control group in all areas of equation-structure, equal sign-definition, and equation-solving. In addition, when comparing the means of students by item, we found that there was a significant difference between the means of the control group and the experimental group in the items dealing with equal sign in the structure of 'a=b' and 'a+b=c+d', and that most of the students in the experimental group correctly answered 'sameness' as the meaning of equal sign, but there were still many responses that interpreted the equal sign as 'answer'. Based on these results, we discussed the implications for instruction that emphasizes relational understanding in equal sign introduction lessons.

• Life and Agrochemicals
• /
• v.26 no.4 s.207
• /
• pp.25-27
• /
• 2005

• JOURNAL OF ELECTRICAL WORLD
• /
• s.433
• /
• pp.16-17
• /
• 2013

• Life and Agrochemicals
• /
• v.26 no.2 s.205
• /
• pp.26-28
• /
• 2005

• JOURNAL OF ELECTRICAL WORLD
• /
• s.432
• /
• pp.8-9
• /
• 2012

• The Korean Publising Journal, Monthly
• /
• s.363
• /
• pp.27-28
• /
• 2006

• The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
• /
• v.8 no.4
• /
• pp.22-29
• /
• 1994

본 논문에서는 시변자계측정을 위한 센서와 형광등의 점등에 의하여 발생되는 자계의 특성에 대하여 기술하였다. 자계측정계는 동축케이블을 사용한 자기적분형 자계센서와 증폭기, 적분기로 구성하였으며 교정실험 결과, 주파수대역은 약 40Hz∼100kHz이었다. 수동점등식, 고주파점등식과 글로우점등식 등 여러 가지 점등방식의 형광등에 의하여 발생되는 자계의 파형을 측정하고, 측정된 자계의 주파수성분을 고속푸리에변환(fast Fourier transformation: FFT)기법으로 해석하였다. 형광등의 점등중에 발생되는 자계성분은 주로 기수고주파 성분이 많이 포함되어 있으며, 인덕션칵에 의하여 점등순간에는 급변성의 과도성분이 나타났다. 전자회로나 제어기기의 보호를 위한 자계차폐장치를 설계할 때에는 반드시 자계의 기수고조파성분을 고려하여야 됨이 확인되었다.

• Journal of Power System Engineering
• /
• v.3 no.4
• /
• pp.79-85
• /
• 1999

The magnetic levitation system is utilized in the magnetic bearing of high-speed rotor system because of little friction, no lubrication, no noise and so on. The magnetic levitation system needs the feedback controller for the stabilization of system, and gap sensors are generally used to measure the gap. The use of sensor easily goes into troublesome caused by sensor failure discord between the measurement point and the control point etc. This paper gives a controller design method of magnetic levitation system which satisfies the given $H_{\infty}$ control performance and the robust stability of the presence of physical parameter perturbations. To the end, we investigated the validity of the designed controller through results of simulation.

• East Asian mathematical journal
• /
• v.26 no.2
• /
• pp.179-190
• /
• 2010

We study the theoretical background on the relationship between the equality property and operations treated in different sub-areas in secondary school mathematics curriculum respectively studied. Furthermore, we discuss in detail the equality property in rational numbers field $\mathbb{Q}$ and the real numbers field $\mathbb{R}$. Through this study, professional knowledges of school teachers are enhanced so that these aforementioned knowledges are connected smoothly to teaching activities in classrooms.