• Title/Summary/Keyword: binary ideal

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GENERALIZED CLOSED SETS IN BINARY IDEAL TOPOLOGICAL SPACES

  • Modak, Shyamapada;Al-omari, Ahmad Abdullah
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.1
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    • pp.183-191
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    • 2018
  • This paper deals with binary ideal topological space and discuss about generalized binary closed sets and generalized kernel in the same topological space. Further it will discuss various types of characterizations of generalized binary closed sets and generalized kernel.

A Theory on the Construction of Binary Sequences with Ideal Atutocorrelation

  • No, Jong-Seon;Yang, Kyeong-Cheol;Chung, Ha-Bong;Song, Hong-Yeop
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.223-228
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    • 1997
  • In this paper, we present a closed-form expression of binary sequences of longer period with ideal autocorrelation property in a trace representation, if a given binary sequence with ideal autocorrelation property is described using the trace function. We also enumerate the number of cyclically distinct binary sequences of a longer period with ideal autocorrelation property, which are extended from a given binary sequence with ideal autocorrelation property.

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New binary pseudorandom sequences of period 2$^{n}$ -1 with ideal autocorrelation (이상적인 자기상관특성을 갖는 주기가 2$_{n}$ -1인 새로운 이진 의사불규칙 시퀀스)

  • 노종선;이환근
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.3
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    • pp.557-561
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    • 1997
  • In this paper, we present three new classes of binary pseudorandom sequences of period ${2_n}-1$ with ideal autocorrelation. These sequences are newly found by an extensive computer search, and the conjectures on the construction of these sequences are formulated. We also classify the binary sequences of period ${2_n}-1$ with ideal autocorrelation, and enumerate them.

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On Lengthening the Period of Known Binary Sequences Preserving the Ideal Autocorrelation

  • No, Jong-Seon;Yang, Kyeong-Cheol;Chung, Ha-Bong;Song, Hong-Yeop
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.217-222
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    • 1997
  • Recently, No et al. presented a new construction of binary sequences with ideal autocorrelation property. In this paper, we applied this method into some of the well-known binary sequences with ideal autocorrelation, and the results are described in detail. First, the GMW sequences are shown to be a natural extension of m-sequences with respect to this method. Second, new binary sequences with ideal autocorrelation property are explicitly constructed from Legendre sequences, Hall's sextic residue sequences, and other known sequences of miscellaneous type.

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Acoustic Studies on Different Binary Liquid Mixtures of LIX Reagents with Different Diluents

  • Kamila, Susmita
    • Journal of the Korean Chemical Society
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    • v.56 no.5
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    • pp.548-555
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    • 2012
  • Ultrasonic velocity and density measurements have been undertaken for a number of binary liquid mixtures involving different commercial solvent extractants, LIX reagents. The binary mixtures under investigation have been classified under two categories such as polar-polar, and polar-non-polar types. Different theories and relations such as Schaaff's Collision Factor Theory (CFT), Nomoto's relation (NOM), and Van Dael & Vangeel ideal mixing relation (IMR) have been used to evaluate the velocity theoretically for all these binary systems. The relative merits of afore-mentioned theories and relations compared to experimental values of velocity have been discussed in terms of percentage variations. However, the CFT and Nomoto's relation show better agreement with the experimental findings than the ideal mixing relation for all the systems under investigation.

Fast Generation of Binary Random Sequences by Use of Random Sampling Method

  • Harada, Hiroshi;Kashiwagi, Hiroshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.240-244
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    • 1992
  • A new method for generation of binary random sequences, called random sampling method, has been proposed by the authors. However, the random sampling method has the defect that binary random sequence can not be rapidly generated. In this paper, two methods based on the random sampling method are proposed for fast generation of binary random sequences. The optimum conditions for obtaining ideal binary random sequences are derived.

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Binary pseudorandom sequences of period $2^{m}-1$ with ideal autocorrelation generated by the polynomial $z^{d}+(z+1)^{d}$ (다항식 $z^{d}+(z+1)^{d}$에 의해 발생된 이상적인 자기상관을 갖는 주기 $2^{m}-1$의 이진 의사불규칙 시퀀스)

  • 노종선;정하봉;윤민선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.5
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    • pp.1165-1172
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    • 1998
  • In this paper, we present a construction for binary pseudorandom sequences of period $2^{m}-1$ with ideal autocorraltion property using the polynomial $z^{d}+(z+1)^{d}$. We show that the sequence obtained from the polynomial becomes an m-sequence for certain values of d. We also find a few values of d which yield new binary sequences with ideal autocorrelation property when m is $3k{\pm}1$, where k is a positive integer. These new sequences are represented using trace function and the results are tabulated.

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Quaternary Sequence with Ideal Autocorrelation Property (이상적인 자기 상관 특성을 갖는 4진 수열)

  • Jang, Ji-Woong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.8
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    • pp.445-452
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    • 2014
  • In this paper, we define ideal autocorrelation property for balanced quaternary sequence with even period. We also prove that our definition is ideal autocorrelation property for balanced quaternary sequence with even period. Furthermore, we propose a generation method of quaternary sequence with ideal autocorrelation property of period $2{\times}(2^n-1)$ using a binary sequence with ideal autocorrelation of period $2^n-1$ and Gray mapping. We also derive the autocorrelation value distribution of the newly proposed quaternary sequence.

Quasi-Valuation Maps on BCK/BCI-Algebras

  • SONG, SEOK-ZUN;ROH, EUN HWAN;JUN, YOUNG BAE
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.859-870
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    • 2015
  • The notion of quasi-valuation maps based on a subalgebra and an ideal in BCK/BCI-algebras is introduced, and then several properties are investigated. Relations between a quasi-valuation map based on a subalgebra and a quasi-valuation map based on an ideal is established. In a BCI-algebra, a condition for a quasi-valuation map based on an ideal to be a quasi-valuation map based on a subalgebra is provided, and conditions for a real-valued function on a BCK/BCI-algebra to be a quasi-valuation map based on an ideal are discussed. Using the notion of a quasi-valuation map based on an ideal, (pseudo) metric spaces are constructed, and we show that the binary operation * in BCK-algebras is uniformly continuous.

Pridiction of Adsorption Equilibrium for Binary Gas Mixtures on Cation Exchanged Forms of ZSM-5

  • Going Yim;Chai Suck Yim
    • The Journal of Engineering Research
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    • v.6 no.2
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    • pp.85-98
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    • 2004
  • The adsorption equilibrium data for the binary gas mixture system from the pure gas adsorption data of carbon dioxide and ethylene on ZSM-5 prepared were predicted. The binary gas mixture adsorption data have been examined against predicted values by two models-the vacancy solution model(VSM) and the statistical thermodynamic model(STM), using parameters obtained from the single component isotherm. The binary gas mixture data for the carbon dioxide-ethylene system were obtained for cation exchanged forms of ZSM-5 for the gas phase carbon dioxide mole fraction of 0.752 at $37^{\circ}C$ and 1 atm. The experimental adsorption phase diagrams were obtained for carbon dioxide-ethylene on sodium form ZSM-5 synthesized. The single component adsorption isotherms for carbon dioxide and ethylene were also obtained for this zeolite. The single component data were used to obtain parameters derived in two models. These parameters were, in turn, used to predict the binary mixture isotherms for this zeolite. Both the vacancy solution and the statistical thermodynamic models give satisfactory predictions of adsorption phase diagrams for the binary gas mixtures of carbon dioxide and ethylene on sodium exchanged ZSM-5. Also the correlation between the experimental data and the predicted values is generally in good agreement. The system appears to show ideal behavior with a relatively constant separation factor. The slight increase in adsorption capacity with an increase in ionic radius is due, in part, to the higher polarizability associated with larger cations.

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