• Title/Summary/Keyword: division by zero

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A Study for Global Optimization Using Dynamic Encoding Algorithm for Searches

  • Kim, Nam-Geun;Kim, Jong-Wook;Kim, Sang-Woo
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.857-862
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    • 2004
  • This paper analyzes properties of the recently developed nonlinear optimization method, Dynamic Encoding Algorithm for Searches (DEAS) [1]. DEAS locates local minima with binary strings (or binary matrices for multi-dimensional problems) by iterating the two operators; bisectional search (BSS) and unidirectional search (UDS). BSS increases binary strings by one digit (i.e., zero or one), while UDS performs increment or decrement to binary strings with no change of string length. Owing to these search routines, DEAS retains the optimization capability that combines the special features of several conventional optimization methods. In this paper, a special feature of BSS and UDS in DEAS is analyzed. In addition, a effective global search strategy is established by using information of DEAS. Effectiveness of the proposed global search strategy is validated through the well-known benchmark functions.

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Effect of aggregation on shear and elongational flow properties of acrylic thickeners

  • Willenbacher, N.;Matter, Y.;Gubaydullin, I.;Schaedler, V.
    • Korea-Australia Rheology Journal
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    • v.20 no.3
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    • pp.109-116
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    • 2008
  • The effect of intermolecular aggregation induced by hydrophobic and electrostatic interactions on shear and elongational flow properties of aqueous acrylic thickener solutions is discussed. Complex shear modulus is determined at frequencies up to $10^4$ rad/s employing oscillatory squeeze flow. Extensional flow behavior is characterized using Capillary Break-up Extensional Rheometry. Aqueous solutions of poly(acrylic acid)(PAA)/poly(vinylpyrrolidone-co-vinylimidazole) (PVP-VI) mixtures exhibit unusual rheological properties described here for the first time. Zero-shear viscosity of the mixtures increases with decreasing pH and can exceed that of the pure polymers in solution by more than two orders of magnitude. This is attributed to the formation of complexes induced by electrostatic interactions in the pH range, where both polymers are oppositely charged. PAA/PVP-VI mixtures are compared to the commercial thickener Sterocoll FD (BASF SE), which is a statistical co-polymer including (meth) acrylic acid and ethylacrylate (EA) forming aggregates in solution due to "sticky" contacts among hydrophobic EA-sequences. PAA/PVP-VI complexes are less compact and more deformable than the hydrophobic Sterocoll FD aggregates. Solutions of PAA/PVP-VI exhibit a higher zero-shear viscosity even at lower molecular weight of the aggregates, but are strongly shear-thinning in contrast to the weakly shear-thinning solutions of Sterocoll FD. The higher ratio of characteristic relaxation times in shear and elongation determined for PAA/PVP-VI compared to Sterocoll FD solutions reflects, that the charge-induced complexes provide a much stronger resistance to extensional flow than the aggregates formed by hydrophobic interactions. This is most likely due to a break-up of the latter in extensional flow, while there is no evidence for a break-up of complexes for PAA/PVP-VI mixtures. These flexible aggregates are more suitable for the stabilization of thin filaments in extensional flows.

Simplified approach for symbol error rate analysis of SC-FDMA scheme over Rayleigh fading channel

  • Trivedi, Vinay Kumar;Sinha, Madhusudan Kumar;Kumar, Preetam
    • ETRI Journal
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    • v.40 no.4
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    • pp.537-545
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    • 2018
  • In this paper, we present a comprehensive analytical study of the symbol error rate (SER) of single-carrier frequency-division multiple access (SC-FDMA) with zero-forcing frequency domain equalization (ZF-FDE) over a Rayleigh fading channel. SC-FDMA is considered as a potential waveform candidate for fifth-generation (5G) radio access networks (RANs). First, the $N_C$ fold convolution of the noise distribution of an orthogonal frequency-division multiplexing (OFDM) system is computed for each value of the signal-to-noise ratio (SNR) in order to determine the noise distribution of the SC-FDMA system. $N_C$ is the number of subcarriers assigned to a user or the size of the discrete Fourier transform (DFT) precoding. Here, we present a simple alternative method of calculating the SER by simplifying the $N_C$ fold convolution using time and amplitude scaling properties. The effects of the $N_C$ fold convolution and SNR over the computation of the SER of the SC-FDMA system has been separated out. As a result, the proposed approach only requires the computation of the $N_C$ fold convolution once, and it is used for different values of SNR to calculate the SER of SC-FDMA systems.

A Study on the Performance Increase in Building Energy Technology according to the Korea's Zero Energy Building Policy (한국의 제로에너지건축 정책 추진에 따른 건축물 에너지기술 성능 연구)

  • Shim, Hong-Souk;Lee, Sungjoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.22 no.5
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    • pp.543-553
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    • 2021
  • As a key policy for achieving the goal of reducing GHG in the building sector, Korea has enforced the mandatory certification of zero-energy buildings for new buildings in the public sector from 2020. This study evaluated a policy to achieve Net Zero by identifying the trend of changes in building energy performance according to policy and presenting a methodology to analyze the current performance state of energy technology applied to buildings. The final goal was to help stakeholders apply appropriate energy technologies for new buildings. For this study, data collected on building energy efficiency certification over the last four years have shown a gradual increase in energy performance. In addition, K-means cluster analysis was used to analyze the performance status of energy technologies applied to buildings. The high and low clusters of education and office facilities were used to analyze the comparative group (2016-2020, 2020). As a result, the solar module area in both high and low clusters of education facilities increased by 261.1% and 283.5%. In contrast, the solar module area decreased by both high and low clusters of office facilities. The most passive and active technologies showed an increase in energy performance.

A Resonant Converter with Wide Input Range

  • Cho, Je-Hyung;Park, Ki-Bum;Moon, Gun-Woo;Youn, Myung-Joong
    • Proceedings of the KIPE Conference
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    • 2008.06a
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    • pp.370-372
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    • 2008
  • A resonant converter suitable for applications of wide input variation is proposed. A half-bridge converter and a phase-shift converter are combined in primary and the secondaries of each transformer are connected in series which makes four voltage levels. Furthermore, by adopting resonant converter scheme, a resonant capacitor is connected with the secondaries of the transformers in series and an output inductor is removed. Zero voltage switching is achieved from full load to no load. The analysis of the resonant converter and experimental results of 200W prototype is presented to verify the features of the converter.

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Uranium(VI) Phosphate Precipitate Formation in a Carbonate Solution

  • Im, Hee-Jung;Park, Kyoung-Kyun;Park, Yeong-Jae;Kim, Won-Ho
    • Proceedings of the Korean Nuclear Society Conference
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    • 2005.05a
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    • pp.311-312
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    • 2005
  • The precipitation of U(VI) in the presence of phosphate and carbonate was investigated in the pH range of 4 to 13 and the following was obtained as a result of this experimental condition. U(VI) precipitates as a $NaUO_{2}PO_{4}$ at pH<9 but as mixtures of phosphate, hydroxides and/or carbonate at pH>9. The portion of the phosphate in the precipitate decreases almost linearly to near zero with an increasing pH in the range of 9 to 13. The U(VI) phosphate is dissolved by the carbonate complex formation at pH<10.5. The ternary complex of a carbonate and phosphate is not found.

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THE FINITE DIMENSIONAL PRIME RINGS

  • Koh, Kwangil
    • Bulletin of the Korean Mathematical Society
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    • v.20 no.1
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    • pp.45-49
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    • 1983
  • If R is ring and M is a right (or left) R-module, then M is called a faithful R-module if, for some a in R, x.a=0 for all x.mem.M then a=0. In [4], R.E. Johnson defines that M is a prime module if every non-zero submodule of M is faithful. Let us define that M is of prime type provided that M is faithful if and only if every non-zero submodule is faithful. We call a right (left) ideal I of R is of prime type if R/I is of prime type as a R-module. This is equivalent to the condition that if xRy.subeq.I then either x.mem.I ro y.mem.I (see [5:3:1]). It is easy to see that in case R is a commutative ring then a right or left ideal of a prime type is just a prime ideal. We have defined in [5], that a chain of right ideals of prime type in a ring R is a finite strictly increasing sequence I$_{0}$.contnd.I$_{1}$.contnd....contnd.I$_{n}$; the length of the chain is n. By the right dimension of a ring R, which is denoted by dim, R, we mean the supremum of the length of all chains of right ideals of prime type in R. It is an integer .geq.0 or .inf.. The left dimension of R, which is denoted by dim$_{l}$ R is similarly defined. It was shown in [5], that dim$_{r}$R=0 if and only if dim$_{l}$ R=0 if and only if R modulo the prime radical is a strongly regular ring. By "a strongly regular ring", we mean that for every a in R there is x in R such that axa=a=a$^{2}$x. It was also shown that R is a simple ring if and only if every right ideal is of prime type if and only if every left ideal is of prime type. In case, R is a (right or left) primitive ring then dim$_{r}$R=n if and only if dim$_{l}$ R=n if and only if R.iden.D$_{n+1}$ , n+1 by n+1 matrix ring on a division ring D. in this paper, we establish the following results: (1) If R is prime ring and dim$_{r}$R=n then either R is a righe Ore domain such that every non-zero right ideal of a prime type contains a non-zero minimal prime ideal or the classical ring of ritght quotients is isomorphic to m*m matrix ring over a division ring where m.leq.n+1. (b) If R is prime ring and dim$_{r}$R=n then dim$_{l}$ R=n if dim$_{l}$ R=n if dim$_{l}$ R<.inf. (c) Let R be a principal right and left ideal domain. If dim$_{r}$R=1 then R is an unique factorization domain.TEX>R=1 then R is an unique factorization domain.

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Effects of Polyelectrolyte Dosage, Kaoline Particles and pH on Flocculation of Humic Acid by Catonic Polyelectrolytes

  • Kam, Sang-Kyu;Kim, Dae-Kyoung;Lee, Min-Gyu
    • Journal of Environmental Science International
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    • v.12 no.8
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    • pp.861-870
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    • 2003
  • Using a simple continuous optical technique, coupled with measurements of zeta potential, the effects of polyelectrolyte dosage, kaoline particles and pH on flocculation of humic acid by several cationic polyelectrolytes, have been examined. The charge density of a polyelectolyte is important in determining the optimum dosage and in the removal of humic acid. The optimum dosage is less for the polyelectrolytes of higher charge density and is the same regardless of the presence of kaoline particles of different turbidity. At the dosage, the removal of humic acid is higher for the polyelectrolytes of higher charge density and the zeta potential of humic acid approaches to near zero, With increasing pH of humic acid, the optimum dosage increases and the flocculation index value obtained at the dosage decreases in the following pH 7 > pH 5 > pH 9, regardless of polyelectrolytes.

A Novel Epsilon Near Zero Tunneling Circuit Using Double-Ridge Rectangular Waveguide

  • Kim, Byung-Mun;Son, Hyeok-Woo;Hong, Jae-Pyo;Cho, Young-Ki
    • Journal of electromagnetic engineering and science
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    • v.14 no.1
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    • pp.36-42
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    • 2014
  • In this paper, an epsilon near zero (ENZ) tunneling circuit using a double-ridge rectangular waveguide (RWG) is proposed for the miniaturization of a waveguide component. The proposed ENZ channel and is located in the middle of the input-output RWG (IORWG). The ratio of the height to the width of the channel waveguide is very small compared to the IORWG. By properly adjusting the ridge dimensions, the tunneling frequency of the proposed ENZ channel can be lowered to near the cut-off frequency of the IORWG. For the proposed ENZ tunneling circuit, the approach adopted for extracting the effective permittivity, effective permeability;normalized effective wave impedance, and propagation constant from the simulated scattering parameters was explained. The extracted parameters verified that the proposed channel is an ENZ channel and electromagnetic energy is tunneling through the channel. Simulation and measurement results of the fabricated ENZ channel structure agreed.

Microstructure and Thermal Insulation Properties of Ultra-Thin Thermal Insulating Substrate Containing 2-D Porous Layer (2차원 기공층을 포함하는 초박형 단열기판의 미세구조 및 단열 특성)

  • Yoo, Chang Min;Lee, Chang Hyun;Shin, Hyo Soon;Yeo, Dong Hun;Kim, Sung Hoon
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.30 no.11
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    • pp.683-687
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    • 2017
  • We investigated the structure of an ultra-thin insulating board with low thermal conductivity along z-axis, which was based on the idea of void layers created during the glass infiltration process for the zero-shrinkage low-temperature co-fired ceramic (LTCC) technology. An alumina and four glass powders were chosen and prepared as green sheets by the tape casting method. After comparison of the four glass powders, bismuth glass was selected for the experiment. Since there is no notable reactivity between alumina and bismuth glass, alumina was selected as the supporting additive in glass layers. With 2.5 vol% of alumina powder, glass green sheets were prepared and stacked alternately with alumina green sheet to form the 'alumina/glass (including alumina additive)/alumina' structure. The stacked green sheets were sintered into an insulating substrate. Scanning electron microscopy revealed that the additive alumina formed supporting bridges in void layers. The depth and number of the stacking layers were varied to examine the insulating property. The lowest thermal conductivity obtained was 0.23 W/mK with a $500-{\mu}m-thick$ substrate.