• Title/Summary/Keyword: ternary number system

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Relation between Huggins Constant and Compatibility of Binary Polymer Mixtures in the Aqueous Ternary Systems

  • Isamu Inamura;Makoto Kittaka;Tatsuya Aikou;Kazuhiko Akiyama;Tomoyuki Matsuyama;Masatsugu Hiroto;Hirade, Ken-ichi;Yuji Jinbo
    • Macromolecular Research
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    • v.12 no.2
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    • pp.246-250
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    • 2004
  • We have classified a number of aqueous ternary systems containing two different polymers into three types by focusing on the deviation of the Huggins constant k'from the additivity line. Systems of type I have negative deviations of k'; the repulsive interaction between the two different polymers dominates. In systems of type II, k' almost follows the additivity relation; the repulsive and attractive interactions between the two different polymers are balancing. Type III systems have positive deviations of k'; the attractive interactions are relatively dominant. This classification of systems is supported by the fact that the positive and negative deviations of k' from the additivity line also correspond to the sign of interaction parameter between polymer 2 and 3, Δb$\_$23/. Furthermore, we have verified the relatively high compatibility between dextran and poly(vinyl alcohol) by determining the binodal concentration of a liquid-liquid phase separation for a water/dextran/poly(vinyl alcohol) system, which is classified as type III. Thus, we found that the compositional dependence of k' closely relates to the compatibility of binary polymer mixtures in aqueous ternary systems.

Competitive Adsorption of Multi-species of Heavy Metals onto Sandy Clay Loam and Clay Soils (사질식양토와 식토에서 중금속 이온의 다중 경쟁 흡착)

  • Chung, Doug Y.;Noh, Hyun-Hee
    • Korean Journal of Soil Science and Fertilizer
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    • v.38 no.5
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    • pp.238-246
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    • 2005
  • We conducted this investigation to observe competitive adsorption phenomena among the heavy metals onto the available sorption sites of soil particle surfaces in sandy clay loam and clay soil collected from Nonsan city, Chungnam and Yoosung, Daejeon in Korea, respectively. Polluted and contaminated soils can often contain more than one heavy metal species, resulting in competition for available sorption sites among heavy metals in soils due to complex competitive ion exchange and specific sorption mechanism. And the adsorption characteristics of the heavy metals were reported that the selectivity for the sorption sites was closely related with electropotential and electro negativity carried by the heavy metals. The heavy metals were treated as single, binary and ternary systems as bulk solution phase. Adsorption in multi-element system was different from single-element system as Cr, Pb and Cd. The adsorption isotherms showed the adsorption was increased with increasing equilibrium concentrations. For binary and ternary systems, the amount of adsorption at the same equilibrium concentration was influenced by the concentration of individual ionic species and valence carried by the respective heavy metal. Also we found that the adsorption isotherms of Cd and Pb selected in this experiment were closely related with electronegativity and ionic potential regardless number of heavy metals in solution, while the adsorption of Cr carried higher valance and lower electro negativity than Cd and Pb was higher than those of Cd and Pb, indicating that adsorption of Cr was influenced by ionic potential than by electronegativity. Therefore adsorption in multi-element system could be influenced by electronegativity and ionic potential and valance for the same valance metals and different valance, respectively. But it still needs further investigation with respect to ionic strength and activity in multi-element system to verify sorption characteristics and reaction processes of Cr, especially for ternary system in soils.

A New Flash A/D Converter Adopting Double Base Number System (2개의 밑수를 이용한 Flash A/D 변환기)

  • Kim, Jong-Soo;Kim, Man-Ho;Jang, Eun-Hwa
    • Journal of the Institute of Convergence Signal Processing
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    • v.9 no.1
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    • pp.54-61
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    • 2008
  • This paper presents a new TIQ based CMOS flash 6-bit ADC to process digital signal in real time. In order to improve the conversion speed of ADC by designing new logic or layout of ADC circuits, a new design method is proposed in encoding logic circuits. The proposed encoding circuits convert analog input into digitally encoded double base number system(DBNS), which uses two bases unlike the normal binary representation scheme. The DBNS adopts binary and ternary radix to enhance digital arithmetic processing capability. In the DBNS, the addition and multiplication can be processed with just shift operations only. Finding near canonical representation is the most important work in general DBNS. But the main disadvantage of DBNS representation in ADC is the fan-in problem. Thus, an equal distribution algorithm is developed to solve the fan-in problem after assignment the prime numbers first. The conversion speed of simulation result was 1.6 GSPS, at 1.8V power with the Magna $0.18{\mu}m$ CMOS process, and the maximum power consumption was 38.71mW.

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SPIN HALF-ADDER IN 𝓑3

  • HASAN KELES
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.187-196
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    • 2023
  • This study is about spin half add operations in 𝓑2 and 𝓑3. The burden of technological structures has increased due to the increase in the use of today's technological applications or the processes in the digital systems used. This has increased the importance of fast transactions and storage areas. For this, less transactions, more gain and storage space are foreseen. We have handle tit (triple digit) system instead of bit (binary digit). 729 is reached in 36 in 𝓑3 while 256 is reached with 28 in 𝓑2. The volume and number of transactions are shortened in 𝓑3. The limited storage space at the maximum level is storaged. The logic connectors and the complement of an element in 𝓑2 and the course of the connectors and the complements of the elements in 𝓑3 are examined. "Carry" calculations in calculating addition and "borrow" in calculating difference are given in 𝓑3. The logic structure 𝓑2 is seen to embedded in the logic structure 𝓑3. This situation enriches the logic structure. Some theorems and lemmas and properties in logic structure 𝓑2 are extended to logic structure 𝓑3.

A Study on Properties of CuInS2 Thin Films by Cu/ln Ratio (Cu/In 비에 따른 CuInS2 박막의 특성에 관한 연구)

  • Yang, Hyeon-Hun;Park, Gye-Choon
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.20 no.7
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    • pp.594-599
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    • 2007
  • [ $CulnS_2$ ] thin films were synthesized by sulfurization of Cu/In Stacked elemental layer deposited onto glass Substrates by vacuum furnace annealing at temperature $200^{\circ}C$. And structural and electrical properties were measured in order to certify optimum conditions for growth of the ternary compound semiconductor $CuInS_2$ thin films with non-stoichiometry composition. $CuInS_2$ thin film was well made at the annealed $200^{\circ}C$ of SLG/Cu/In/S stacked elemental layer which was prepared by thermal evaporator, and chemical composition of the thin film was analyzed nearly as the proportion of 1 : 1 : 2. Physical properties of the thin film were investigated at various fabrication conditions substrate temperature, annealing and temperature, annealing time by XRD, FE-SEM and Hall measurement system. The compositional deviations from the ideal chemical formula for $200^{\circ}C$ material can be conveniently described by non-molecularity$({\Delta}x=[Cu/In]-1)$ and non-stoichiometry $({\Delta}y=[{2S/(Cu+3In)}-1])$. The variation of ${\Delta}x$ would lead to the formation of equal number of donor and accepters and the films would behave like a compensated material. The ${\Delta}y$ parameter is related to the electronic defects and would determine the type of the majority charge carriers. Films with ${\Delta}y>0$ would behave as p-type material while ${\Delta}y<0$ would show n-type conductivity. At the sane time, carrier concentration, hall mobility and resistivity of the thin films was $9.10568{\times}10^{17}cm^{-3},\;312.502cm^2/V{\cdot}s\;and\;2.36{\times}10^{-2}\;{\Omega}{\cdot}cm$, respectively.

New Efficient Scalar Multiplication Algorithms Based on Montgomery Ladder Method for Elliptic Curve Cryptosystems (타원곡선암호시스템에서 Montgomery ladder 방법에 기반한 새로운 스칼라 곱셈 알고리즘)

  • Cho, Sung-Min;Seo, Seog-Chung;Kim, Tae-Hyun;Park, Yung-Ho;Hong, Seok-Hie
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.19 no.4
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    • pp.3-19
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    • 2009
  • This paper proposes efficient scalar multiplication algorithms based on Montgomery ladder method. The proposed algorithm represents the scalar as ternary or quaternary and applies new composite formulas utilizing only x coordinate on affine coordinate system in order to improve performance. Furthermore, side-channel atomicity mechanism is applied on the proposed composite formulas to prevent simple power analysis. The proposed methods saves at least 26% of running time with the reduced number of storage compared with existing algorithms such as window-based methods and comb-based methods.

Prediction of strength development of fly ash and silica fume ternary composite concrete using artificial neural network (인공신경망을 이용한 플라이애시 및 실리카 흄 복합 콘크리트의 압축강도 예측)

  • Fan, Wei-Jie;Choi, Young-Ji;Wang, Xiao-Yong
    • Journal of Industrial Technology
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    • v.41 no.1
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    • pp.1-6
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    • 2021
  • Fly ash and silica fume belong to industry by-products that can be used to produce concrete. This study shows the model of a neural network to evaluate the strength development of blended concrete containing fly ash and silica fume. The neural network model has four input parameters, such as fly ash replacement content, silica fume replacement content, water/binder ratio, and ages. Strength is the output variable of neural network. Based on the backpropagation algorithm, the values of elements in the hidden layer of neural network are determined. The number of neurons in the hidden layer is confirmed based on trial calculations. We find (1) neural network can give a reasonable evaluation of the strength development of composite concrete. Neural network can reflect the improvement of strength due to silica fume additions and can consider the reductions of strength as water/binder increases. (2) When the number of neurons in the hidden layer is five, the prediction results show more accuracy than four neurons in the hidden layer. Moreover, five neurons in the hidden layer can reproduce the strength crossover between fly ash concrete and plain concrete. Summarily, the neural network-based model is valuable for design sustainable composite concrete containing silica fume and fly ash.

A Study on the Efficient Algorithm for Converting Range Matching Rules into TCAM Entries in the Packet Filtering System (패킷 필터링 시스템에서 범위 규칙의 효율적 TCAM 엔트리 변환 알고리즘 연구)

  • Kim, Yong-Kwon;Cho, Hyun-Mook;Choe, Jin-Kyu;Lee, Kyou-Ho;Ki, Jang-Geun
    • Journal of IKEEE
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    • v.9 no.1 s.16
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    • pp.19-30
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    • 2005
  • Packet classification is defined as the action to match the packet with a set of predefined rules. One of classification is to use Ternary Content Addressable Memory hardware search engine that has faster than other algorithmic methods. However, TCAM has some limitations. One of them is that TCAM can not perform range matching efficiently. A range has to be expanded into prefixes to fit the boundary. In general, the number of expansion could be up to 2w-2, where w is the width of the field. For example, if two range fields with 16 bits are used, there could be up to $30\;{\times}\;30\;=\;900$ expansions for a single rule. In this paper, we describe the novel algorithm for converting range matching rules into TCAM entry efficiently. The number of maximum entry is 2w-4 when using the algorithm. Furthermore, it has also benefit about the negation range. In the result of experimentation, the new scheme practically reduces 14 percent in case that searched fields are source port and destination port number.

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The Phase Behavior of Nonionic Surfactants having Sucrose as Hydrophilic Group(II) - The Phase Behavior of Sucrose Monopalmitate/Alkanol/Water System - (당류를 친수기로 한 비이온성 계면활성제계의 상거동(제2보) - 슈크로오스 팔미테이트/알칸올/물 계에서의 상거동 -)

  • Lee, Hyang-Woo;Lee, Jin-Hee;Nam, Ki-Dae
    • Applied Chemistry for Engineering
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    • v.8 no.2
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    • pp.246-251
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    • 1997
  • The phase behavior of sucrose monopalmitate/alkanol/water ternary system was investigated. According to compositions of three components ranging from micellar(or inverse micellar) solution up to various lyotropic liquid crystalline(LC) phase, each texture of the separated phases was identified by crossed polarizers equipped with a camera whose stage was connected to a thermostatic circulator. As the carbon atom number in alkanol of the polar oily substance increases, patterns of the various LC phases were also observed hexanol

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Structure and thermal properties of $SnO_2-B_2O_3-P_2O_5$ glasses ($SnO_2-P_2O_5-B_2O_3$ 유리구조 및 열적 특성)

  • An, Yong-Tae;Choi, Byung-Hyun;Ji, Mi-Jung;Ko, Young-Soo;Kim, Hyung-Sun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.06a
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    • pp.91-91
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    • 2008
  • $SnO_2-B_2O_3-P_2O_5$ system were prepared by melt-quenching technique in the compositional series containing 50, 55 aod 60mol.% of $SnO_2$. A large glass-forming region was found at the phosphate side of the ternary system with homogeneous glasses containing up to 5-25mol.% of $B_2O_3$. For these glasses, thermal expansion coeffient($\alpha$), glass transition temperature(Tg), and glass softening temperature(Ts), were determined. The values a decrease with increasing $B_2O_3$ content, while Tg and Ts increased. The reason for the observed changes is local structure of the glasses. Local structure of the glasses was investigated by Raman and FT-IR measurements, suggesting that the number of bridging oxygens decreased whereas the non-bridging oxygen concentration increased with increasing $SnO_2$ content in the glasses.

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