• Title/Summary/Keyword: Zero point

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An Analysis And Criticism on Mathematics Terminologies Used in Elementary School Mathematics: Focused on Some Examples (우리나라 초등학교 수학용어의 분석과 비판: 몇 가지 예를 중심으로)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.1
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    • pp.1-17
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    • 2013
  • In this paper, firstly, 'value', 'vertices', 'height' are discussed, which are used in the multiple contexts. Then 'sketch', 'mental math', 'zero point oneth place/zero point zero oneth place/zero point zereo zero oneth place', 'number of place', 'natural number part/decimal part' are discussed, which are not used consistently. Finally, middle school mathematics terms 'distance', 'number line', 'the value of the expression' are discussed which are used in elementary school mathematics textbooks/workbooks. From these discussions, the following four suggestions are proposed as conclusions. First, as a mathematical term 'value' and 'distance' should be emphasized. As 'distance' is a middle school term, there is a need to consider the 'height' as 'the length of the line segment' instead of 'distance'. Second, 'number of place' which can be replaced with other suitable term, 'the value of the expression' including 'value of $20{\times}4$', 'natural number part/decimal part', 'vertex of pyramid/vertex of cone', 'mental math' should not be used. Third, there is a need to consider the use of 'mixed decimal' and 'proper decimal'. In addition, there is a need to expand the use of 'sketch'. Fourth, there is a need to consider the confirmation of 'number line' as an elementary school mathematics term. In addition, there is a need to consider to specify that 'decimal first place', 'decimal second place', 'decimal third place' can be used equivalently with 'zero point oneth place', 'zero point zero oneth place', 'zero point zereo zero oneth place' respectively.

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Design of Butterfly Valve Disk to Minimize Interference at Opening and Closing (개폐 시 최소 간섭을 갖는 버터플라이 밸브 디스크의 설계)

  • Choi Young;Boo Kwangsuk;Yeo Hong-Tae;Hur Kwando;Kim Hokwan
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.12
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    • pp.140-145
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    • 2004
  • In this study, the design and analysis of a butterfly valve disk was performed to minimize the rubbing between the disk and the seat at opening and closing. The butterfly valve has double eccentric structure and the contact surface between the disk and the seat is a conical surface. At the instant of opening and closing the valve by the rotation of disk, the positions of zero contact point are changed. Also, if the cone surface is cut in the perpendicular direction to the rotation axis of the valve, the contour of cutting section is hyperbolic. Therefore minimum distance between the origin of the eccentric axis and the hyperbolic curve goes to the position of zero contact point. In order to consider the interferences between the disk and the seat, the thermal-structure coupled field analysis was performed by ANSYS.

ON JORDAN AND JORDAN HIGHER DERIVABLE MAPS OF RINGS

  • Liu, Lei
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.957-972
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    • 2020
  • Let 𝓡 be a 2-torsion free unital ring containing a non-trivial idempotent. An additive map 𝛿 from 𝓡 into itself is called a Jordan derivable map at commutative zero point if 𝛿(AB + BA) = 𝛿(A)B + B𝛿(A) + A𝛿(B) + 𝛿(B)A for all A, B ∈ 𝓡 with AB = BA = 0. In this paper, we prove that, under some mild conditions, each Jordan derivable map at commutative zero point has the form 𝛿(A) = 𝜓(A) + CA for all A ∈ 𝓡, where 𝜓 is an additive Jordan derivation of 𝓡 and C is a central element of 𝓡. Then we generalize the result to the case of Jordan higher derivable maps at commutative zero point. These results are also applied to some operator algebras.

A NEW GENERALIZED RESOLVENT AND APPLICATION IN BANACH MAPPINGS

  • Wang, Xian;Chen, Jun-Min;He, Zhen
    • East Asian mathematical journal
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    • v.30 no.1
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    • pp.69-77
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    • 2014
  • In this paper, we introduce a new generalized resolvent in a Banach space and discuss its some properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.

Modified Watershed Algorithm Considering Zero-Crossing of Gradient (Gradient의 Zero-Crossing을 이용한 개선된 Watershed Algorithm)

  • Park, Dong-In;Ko, Yun-Ho;Park, Young-Woo
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.389-390
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    • 2007
  • In this paper, we propose a modified watershed algorithm to obtain exact edge of region. The proposed method adjusts priority at zero-crossing point of gradient in order to make the point of region decision time postponed. We compare the proposed method with a previous method and prove that this method can extract more correct edge of region.

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Three Phase Three-Level Switched Voltage Source PWM Inverter with Zero Neutral Point Potential (영 전위 중성점을 가진 새로운 3상 Three-Level 스위치 전압원 인버터)

  • Oh Won-Sik;Han Sang-Kyoo;Choi Seong-Wook;Moon Gun-Woo
    • Proceedings of the KIPE Conference
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    • 2004.07b
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    • pp.630-634
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    • 2004
  • A new three phase three-level Pulse Width Modulation (PWM) Switched Voltage Source (SVS) inverter with zero neutral point potential is proposed. The major advantage is that the peak value of the phase output voltage is twice as high as that of the conventional neutral-point-clamped (NPC) PWM inverter. Furthermore, three-level waveforms of the proposed inverter can be achieved without switch voltage unbalance problem. Since the average neutral point potential of the proposed inverter is zero, the common ground between input stage and output stage is possible. The proposed inverter is verified by experimental results based on a laboratory prototype.

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Neutral-point Voltage Balancing Strategy for Three-level Converter based on Disassembly of Zero Level

  • Wang, Chenchen;Li, Zhitong;Xin, Hongliang
    • Journal of Power Electronics
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    • v.19 no.1
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    • pp.79-88
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    • 2019
  • The neutral-point (NP) voltage of three-phase three-level NP-clamped converters is needed for balance. To maintain NP potential and suppress ripple, a novel NP voltage balancing strategy is proposed in this work. The mechanism of NP voltage variation is studied first. Then, the relationship between the disassembly of zero level (O level) and NP current is studied comprehensively. On these bases, two methods for selecting one of three output phases for the disassembly of its O level are presented. Finally, simulation and experimental results verify the validity and practicability of the proposed algorithms.

Dynamic Gait embody using angular acceleration for a Walking Robot (각가속도를 이용한 이족 로봇의 동적 걸음새 구현)

  • Park, Jae-Mun;Park, Seung-Yub;Ko, Bong-Jin
    • Journal of Advanced Navigation Technology
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    • v.11 no.2
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    • pp.209-216
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    • 2007
  • In this paper, we embodied posture-stabilization and dynamic gait in a walking robot. 10 RC servo motors are used to operate joints. And the joints have enough moving ranges suitable in any walking pattern. Each joint trajectory is generated by cubic spline interpolation method and the stability of the trajectory is verified by using Zero Moment Point from the robot modeling. To avoid complex structure and expression, Zero Moment Point of the biped robot used angular acceleration is suggested. To measure the stability of the biped robot, Tilt sensor and gyro sensor are used. Finally, Personal Computer is used computer monitoring and data processing. Most of computation, such as 10 RC servo motor control, joint trajectory generating, ZMP compensation, sense measuring, etc, was used Digital Signal Processor.

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REPULSIVE FIXED-POINTS OF THE LAGUERRE-LIKE ITERATION FUNCTIONS

  • Ham, YoonMee;Lee, Sang-Gu
    • Korean Journal of Mathematics
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    • v.16 no.1
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    • pp.51-55
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    • 2008
  • Let f be an analytic function with a simple zero in the reals or the complex numbers. An extraneous fixed-point of an iteration function is a fixed-point different from a zero of f. We prove that all extraneous fixed-points of Laguerre-like iteration functions and general Laguerre-like functions are repulsive.

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A MPPT Control of Photovoltaic System for Current ripple reduce (전류리플 저감을 위한 태양광발전시스템의 최대출력점추적제어)

  • Chung, Choon-Byeong
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2006.05a
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    • pp.496-499
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    • 2006
  • The solar cells should be operated at the maximum power point because its output characteristics are greatly fluctuate on the variations of insolation, temperature and loads. To obtain maximum power from solar cell, photovoltaic system cell power system usually requires maximum power point tracking controller. This paper propose Maximum power point tracking method using zero slope of differential value of maximum power. The power compare method traces to maximum power point rapidly but oscillate on the maximum power point largely, when quantity insolation variation is big. The power compare method is traces to maximum power point slowly but oscillate maximum point on the maximum power point smally, when quantity insolation variation is small. To solve two problem of the power compare method, designed zero slope of differential value of maximum power.

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