• Title/Summary/Keyword: division by zero

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Explaining the Impossibility of Division by Zero: Approaches of Chinese and Korean Middle School Mathematics Teachers

  • Kim, Young-Ok
    • Research in Mathematical Education
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    • v.11 no.1
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    • pp.33-51
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    • 2007
  • The present study explores mathematics teachers' understanding of division by zero and their approaches to explaining the impossibility of division by zero. This study analyzes Chinese and Korean middle school mathematics teachers' responses to the teaching task of explaining the impossibility of dividing 7 by zero, and examples of teachers' reasoned explanations for their answers are presented. The findings from this study suggest that most Korean teachers offer multiple types of mathematical explanations for justifying the impossibility of division by zero, while Chinese teachers' explanations were more uniform and based less on mathematical ideas than those of their Korean counterparts. Another finding from this study is that teachers' particular conceptions of zero were strongly associated with their justifications for the impossibility of division by zero, and the influence of the teachers' conceptions of zero was revealed as a barrier in composing a well-reasoned explanation for the impossibility of division by zero. One of the practical implications of this study is those teachers' basic attitudes toward always attempting to give explanations for mathematical facts or mathematical concepts do not seem to be derived solely from their sufficient knowledge of the facts or concepts of mathematics.

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Improved Zero Voltage and Zero Current Switching Full Bridge PWM Converter with Active Clamp

  • Baek, J.W.;Cho, J.G.;Jeong, C.Y.;Yoo, D.W.;Kim, H.G.
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.687-693
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    • 1998
  • An improved zero voltage and zero current switching (ZVZCS) full bridge (FB) PWM converter is proposed to solve the problems of the previously presented ZVACS-FB-PWM converter with secondary active clamp such as narrow ZVS range of leading-leg switches [6]. By adding an auxiliary inductor in between the leading-leg and separated input source voltages, the ZVS of leading leg switches can be extended to the whole line and load ranges, which eliminates unwanted hard switching of clamp switch and simplifies its control. The principle of operation is explained and analyzed. The features and design considerations of the proposed converter are also illustrated and verified on a 3 kW, 100 KHz IGBT based experimental circuit.

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Single Stage Power Factor Correction Using A New Zero-Voltage-Transition Isolated Full Bridge PWM Boost Converter

  • Jeong, Chang.-Y.;Cho, Jung-G.;Baek, Ju-W.;Song, Du-I.;Yoo, Dong-W.
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.694-700
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    • 1998
  • A novel zero-voltage-transition (ZVT) isolated PWM boost converter for single stage power factor correction (PFC) is presented to improve the performance of the previously presented ZVT converter[8]. A simple auxiliary circuit which includes only one active switch provides zero-voltage-switching (ZVS) condition to all semiconductor devices. (Two active switches are required for the previous ZVT converter) This leads to reduced cost and simplified control circuit comparing to the previous ZVT converter. The ZVS is achieved for wide line and load ranges with minimum device voltage and current stresses. Operation principle, control strategy and features of the proposed converter are presented and verified by the experimental results from a 1.5 kW, 100 KHz laboratory prototype.

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Actively Clamped Two-Switch Flyback Converter with High Efficiency

  • Yang, Min-Kwon;Choi, Woo-Young
    • Journal of Power Electronics
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    • v.15 no.5
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    • pp.1200-1206
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    • 2015
  • This paper proposes an actively clamped two-switch flyback converter. Compared to the conventional two-switch flyback converter, the proposed two-switch flyback converter operates with a wide duty cycle range. By using an active-clamp circuit, the proposed converter achieves zero-voltage switching for all of the power switches. Zero-current switching of an output diode is also achieved. Thus, compared with the conventional converter, the proposed converter realizes a higher efficiency with an extended duty cycle. The performance of the proposed converter is verified by the experimental results with use of a 1.0 kW prototype circuit.

A Study of Analytical Sensitivity on TDM Test Kit in Clinical Chemistry (약물검사 키트의 분석 민감도에 대한 연구)

  • Chang, Sang Wu;Kim, Nam Yong;Lee, Hee Gyung;Kim, Hyun Jung;Lee, Yun Jung;Jin, Ok Bae;Kim, Mi Gyung
    • Korean Journal of Clinical Laboratory Science
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    • v.36 no.2
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    • pp.127-130
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    • 2004
  • Analytical sensitivity on TDM test is the lowest concentration that can be distinguished from background noise. The aim of study was to evaluate analytical sensitivity that is also referred to as the lower limit of detection(LLD) about difference between zero calibrator and isotonic saline sample. We tested for 10 days with zero calibrators and 0.85% saline samples while running trilevel control samples under control. Raw data divided by two groups calculated mean and standard deviation from two sample populations and analytical sensitivity by ${\bar{X}}+2SD$. In comparison with isotonic saline samples and zero calibrators, there were significant differences in phenytoin, phenobarbital and vancomycin, etc. Especially analytical sensitivity on phenytoin is at the same level as the upper limit of analytical measurement range with $40{\mu}g/mL$. We think the cause of this is matrix interference. In conclusion, we were sure that standard protocol for analytical sensitivity as lower limit of analytical measurement range on TDM test must be measured with zero standard rather than an isotonic saline sample and type 1 reagent DW for reducing matrix effects within interactions between different materials in a mixture.

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An Improved Zero Voltage Switching Forward DC/DC Converter For Reducing Switching Losses

  • Kim, Eun-Soo;Joe, Kee-Yeon;Park, Hae-Young;Kim, Yoon-Ho;Kim, Choon-Same
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.1051-1055
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    • 1998
  • To achieve high efficiency in high power and high frequency applications, reduction of switching losses and noise is very important. In this paper, an improved zero voltage switching forward dc/dc converter is proposed. The proposed converter is constructed by using energy recovery snubbers in parallel with the main switches and output diodes of the conventional forward dc/dc converter. Due to the use of the energy recovery snubbers in the primary and secondary side, the proposed converter achieves zero-voltage-switching turn-off without switching losses for switching devices and output rectification diodes. The complete operating principles and experimental results will be presented.

Cloud Security Scheme Based on Blockchain and Zero Trust (블록체인과 제로 트러스트 기반 클라우드 보안 기법)

  • In-Hye Na;Hyeok Kang;Keun-Ho Lee
    • Journal of Internet of Things and Convergence
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    • v.9 no.2
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    • pp.55-60
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    • 2023
  • Recently, demand for cloud computing has increased and remote access due to home work and external work has increased. In addition, a new security paradigm is required in the current situation where the need to be vigilant against not only external attacker access but also internal access such as internal employee access to work increases and various attack techniques are sophisticated. As a result, the network security model applying Zero-Trust, which has the core principle of doubting everything and not trusting it, began to attract attention in the security industry. Zero Trust Security monitors all networks, requires authentication in order to be granted access, and increases security by granting minimum access rights to access requesters. In this paper, we explain zero trust and zero trust architecture, and propose a new cloud security system for strengthening access control that overcomes the limitations of existing security systems using zero trust and blockchain and can be used by various companies.

BOUNDS OF ZERO MEAN GAUSSIAN WITH COVARIANCE FOR AVERAGE ERROR OF TRAPEZOIDAL RULE

  • Hong, Bum-Il;Choi, Sung-Hee;Hahm, Nahm-Woo
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.231-242
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    • 2001
  • We showed in [2] that if r≤2, zero mean Gaussian of average error of the Trapezoidal rule is proportional to h/sub i//sup 2r+3/ on the interval [0,1]. In this paper, if r≥3, we show that zero mean Gaussian of average error of the Trapezoidal rule is bounded by Ch⁴/sub i/h⁴/sub j/.

Active-Clamp AC-DC Converter with Direct Power Conversion (직접전력변환 방식을 이용한 능동 클램프 AC-DC 컨버터)

  • Cho, Yong-Won;Kwon, Bong-Hwan
    • The Transactions of the Korean Institute of Power Electronics
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    • v.17 no.3
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    • pp.230-237
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    • 2012
  • This paper proposes an active-clamp ac-dc converter with direct power conversion that has a simple structure and achieves high efficiency. The proposed converter is derived by integrating the step-down ac chopper and the output-voltage doubler. The proposed converter provides direct ac-dc conversion and dc output voltage without using any full-bridge diode rectifier. The step-down ac chopper using an active-clamp mechanism serves to clamp the voltage spike across the main switches and provides zero-voltage turn-on switching. The resonant-current path formed by the leakage inductance of the transformer and the resonant capacitor of the output-voltage doubler achieves the zero-current turn-off switching of the output diodes. The operation principle of the converter is analyzed and verified. A 500W prototype is implemented to show the performance of the proposed converter. The prototype provides maximum efficiency of 95.1% at the full load.

On SF-rings and Regular Rings

  • Subedi, Tikaram;Buhphang, Ardeline Mary
    • Kyungpook Mathematical Journal
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    • v.53 no.3
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    • pp.397-406
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    • 2013
  • A ring R is called a left (right) SF-ring if simple left (right) R-modules are flat. It is still unknown whether a left (right) SF-ring is von Neumann regular. In this paper, we give some conditions for a left (right) SF-ring to be (a) von Neumann regular; (b) strongly regular; (c) division ring. It is proved that: (1) a right SF-ring R is regular if maximal essential right (left) ideals of R are weakly left (right) ideals of R (this result gives an affirmative answer to the question raised by Zhang in 1994); (2) a left SF-ring R is strongly regular if every non-zero left (right) ideal of R contains a non-zero left (right) ideal of R which is a W-ideal; (3) if R is a left SF-ring such that $l(x)(r(x))$ is an essential left (right) ideal for every right (left) zero divisor x of R, then R is a division ring.