• Journal for History of Mathematics
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• v.24 no.2
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• pp.31-46
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• 2011

[ ${\ll}$ ]n divisions of figures(${\pi}{\varepsilon}{\rho}{\acute{\iota}}\;{\delta}{\iota}{\alpha}{\iota}{\rho}{\acute{\varepsilon}}{\sigma}{\varepsilon}{\omega}{\nu}\;{\beta}{\iota}{\beta}{\lambda}{\acute{\iota}}o{\nu}$)${\gg}$ is one of the works written by Euclid, but little known to us. In this paper, we introduce this Euclid's book on divisions of figures with its brief history, analyse its contents, and discuss how to use it in mathematics education.

• Proceedings of the IEEK Conference
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• 2002.06e
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• pp.47-50
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• 2002

An extended-counting analog to digital converter (ADC) is designed to have a high resolution(14bit) with low power consumption and small dia area. First order sigma-delta modulator with a simple counter for incremental operation eliminates the need of big decimation filter in conventional sigma-delta type ADC. To improve the accuracy and linearity, extended mode of successive approximation is followed. For 14-bit conversion operation, total 263 clocks(1 clock for reset, 256 clocks for incremental operation and extended 6 clocks for successive approximation operation) are needed with the sampling rate of 10 Ms/s This ADC is implemented in a 0.6um standard CMOS technology with a die area of 1 mm ${\times}$ 0.75 mm.

• Proceedings of the KIEE Conference
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• 1995.11a
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• pp.489-492
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• 1995

This paper has represented the new system for a multibit oversampled sigma-delta A/D convertor. The novel digital correction scheme with the ROM-Table is employed to enhance SNR without requiring accurate precision of the analogue components. This architectures have a good features compared with the 1-bit approach, including significantly lower quantization noise for a given oversampling ratio, as well as improved stability characteristics. Then we have shown the validity of the proposed system by use of the software for the performance evaluation and by realizing the system with SCFs(switched capacitor filter).

• The Transactions of the Korean Institute of Electrical Engineers P
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• v.60 no.1
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• pp.19-26
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• 2011

In this paper, we designed Interpolation FIR(Finite Impulse Response) filter and 1-bit SDM(Sigma- Delta Modulator) for small digital audio speaker, which has low power consumption and high output characteristics. In order to achieve high linearity and low distortion performance of the systems, we adopt Type I Chevychev FIR filter which has equiripple characteristics in the pass band and proposed high efficient FIR filter structure. SDM is the most efficient modulation technique among the noise shaping techniques. In this paper, we implemented SDM using CIFB(Cascade of Intergrators, Feed-Back) which is generally used in DAC of small digital audio speakers. The proposed SDM structure can achieve high SNR, high-efficiency characteristics and low power consumption in mobile devices. Also considering manufacture of SoC(System on Chip), we performed simulation with Matlab and Verilog HDL to obtain optimal number of operational bits and verified a good experimental results.

• Journal of Welding and Joining
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• v.3 no.2
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• pp.35-41
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• 1985

The fracture toughness of subcritical HAZ in the hot strained weldments of two structural steels(SB 41 and SA 537) has been investigated by COD test method and metallurgical study. The obtained results are summarized as follows; 1. The hot straining embitterment of subcritical HAZ depends on the hot straining amounts of notch tip, and the transition temperature( $T_{tr}$ ) increases with the accumulated hot straining amounts(.SIGMA. vertical bar .delta.$_{t}$vertical bar). 2. The fracture toughness of subcritical HAZ depends on materials and microstructure. The transition temperature( $T_{tr}$ ) of subcritical HAZ in SB 41 is almost same as that of parent material, however in SA 537 the temperature is higher than that of parent and lower than that of transformed HAZ. 3. The subcritical HAZ in SA 537 shows a higher toughness at small amounts of hot straining (.SIGMA. vertical bar .delta. $_{t}$vertical bar<0.3mm).mm).

• Kyungpook Mathematical Journal
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• v.55 no.3
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• pp.705-714
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• 2015

In this paper, we introduce and investigate an interesting subclass $M_{\Sigma}({\gamma},{\lambda},{\delta},{\varphi})$ of analytic and bi-univalent functions of complex order in the open unit disk ${\mathbb{U}}$. For functions belonging to the class $M_{\Sigma}({\gamma},{\lambda},{\delta},{\varphi})$ we investigate the coefficient estimates on the first two Taylor-Maclaurin coefficients ${\mid}{\alpha}_2{\mid}$ and ${\mid}{\alpha}_3{\mid}$. The results presented in this paper would generalize and improve some recent works of [1],[5],[9].

• Journal of the Korean Chemical Society
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• v.43 no.4
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• pp.378-383
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• 1999

Ab initio calculation is performed to estimate the substituent effects for Para-substituted pyridines. Electrostatic potentials are obtained from ab initio molecular orbital wavefunctions of optimized structures for substituted pyridines. Electrostatic potentials are computed to be minimum at nitrogen atom of pyridines. The potential minima are good correlated with the substituent constants, ${\sigma}_p$ and with the ${\Delta}pKa$. It is shown that the electrostatic potential minima can be used as a measure of substituent effects.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.14 no.3
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• pp.216-221
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• 2014

In this paper, we introduce the concept of generalized double fuzzy semi-basically disconnected space and related notions such as (r, s)-generalized fuzzy semiopen-$F_{\sigma}$ sets, (r, s)-generalized fuzzy semiclosed-$G_{\delta}$ sets, generalized double fuzzy $semi^*$-open function, generalized double fuzzy $semi^*$-continuous function and generalized double fuzzy $semi^*$-irresolute function. Some interesting properties and characterizations of the concepts introduced are studied.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.34C no.1
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• pp.21-27
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• 1997

We have proposed a new structure of the multibit ovesampling sigma-delta modulator. To solve the problkem of requring the accurate precision of the analog components, the novel digital correction scheme with a ROM-table has been employed to enhance the SNR for the proposed system. This architecture has good features compared with the 1-bit approach, including significantly lower quantisation noise for a given oversampling ratio, as well as improve dstability characteristics. Then we hve shown the validity of the proposed system by use of the software developed for the performance evaluation and by realizing the system with SCFs(switched capacitor filters).

• Proceedings of the KIEE Conference
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• 2003.07b
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• pp.1250-1252
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• 2003

This Paper presents Sigma-Delta Modulation(SDM) schemes to generate switching waveform for a high-power factor boost-type rectifier. The SDM scheme can be implemented by simple digital algorithm unlike conventional PWM schemes with several hardware, and has the characteristics of spectrum-spreading and noise-shaping effects, which are profitable in harmonic reduction of input current in the boost-type rectifier. The comparison results of their spectrum performances shows that the 1st-order SDM has better harmonic suppression effect than conventional PWM scheme and Dithered SDM scheme.