• 제목/요약/키워드: basic scalar

검색결과 45건 처리시간 0.026초

RICCI CURVATURE OF INTEGRAL SUBMANIFOLDS OF AN S-SPACE FORM

  • Kim, Jeong-Sik;Dwivedi, Mohit Kumar;Tripathi, Mukut Mani
    • 대한수학회보
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    • 제44권3호
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    • pp.395-406
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    • 2007
  • Involving the Ricci curvature and the squared mean curvature, we obtain a basic inequality for an integral submanifold of an S-space form. By polarization, we get a basic inequality for Ricci tensor also. Equality cases are also discussed. By giving a very simple proof we show that if an integral submanifold of maximum dimension of an S-space form satisfies the equality case, then it must be minimal. These results are applied to get corresponding results for C-totally real submanifolds of a Sasakian space form and for totally real submanifolds of a complex space form.

한정사 '도'의 의미-화용론 (Semantic and pragmatic aspects of the delimiter to)

  • 김용범
    • 한국언어정보학회지:언어와정보
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    • 제3권2호
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    • pp.85-96
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    • 1999
  • This paper deals with questions involving the polysemous meanings of Korean delimiter to, which include existence of a sister item, polar values, emphasis, reciprocality, and concession among others. In this paper it is argued that the basic meaning of to is the implication of a sister proposition and that various other meanings can be pragmatically derived from the basic meaning. The pragmatic notion of emphasis is defined formally and it is shown that various meanings of to can be accounted for by investigating how the speaker exploits the background knowledge which the speaker and the listener share in a speech context. According to what type of the context is made use of by the speaker, the various polysemous meanings are analyzed as involving either a simple implicature or a series of implicatures, i.e., scalar implicatures, so the various meanings of the delimiter can be attributable to the different attunement of the speaker to different kinds of context.

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Doping effects of sulfur and oxygen atoms on a golden cage

  • Kang, Seoung-Hun;Kim, Gunn;Kwon, Young-Kyun
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2010년도 제39회 하계학술대회 초록집
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    • pp.272-272
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    • 2010
  • The structural and electronic properties of $XAu_{16^-}$ (X = S or O) have been studied by the scalar relativistic all-electron density functional calculations, in which a particular attention is paid to the stability of various $XAu_{16^-}$ structures. We find that an X-encapsulated golden cage ($XAu_{16^-}$) represents an ionic character whereas in the other structures, adsorption characters are represented by covalent bonding. Especially, in S@$Au_{16^-}$, electrons are donated from the S atom to $Au_{16^-}$. The most stable $XAu_{16^-}$ structures exhibit a small HOMO-LUMO energy gap, indicating that they could be chemically reactive. We also calculated the activation energy barriers of the transition between the most stable exohedral and endohedral adsorption configurations as well as their reaction energies. Our results demonstrate that the activation barrier in the $OAu_{16^-}$ is lower than in $SAu_{16^-}$. This is associated with the smaller atomic radius of oxygen than that of sulfur.

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A Coupled Higher-Order Nonlinear $Schr{\ddot{o}}dinger$ Equation Including Higher-Order Bright and Dark Solitons

  • Kim, Jong-Bae
    • ETRI Journal
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    • 제23권1호
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    • pp.9-15
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    • 2001
  • We suggest a generalized Lax pair on a Hermitian symmetric space to generate a new coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation of a dual type which contains both bright and dark soliton equations depending on parameters in the Lax pair. Through the generalized ways of reduction and the scaling transformation for the coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation, two integrable types of higher-order dark soliton equations and their extensions to vector equations are newly derived in addition to the corresponding equations of the known higher-order bright solitons. Analytical discussion on a general scalar solution of the higher-order dark soliton equation is then made in detail.

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MoTE-ECC Based Encryption on MSP430

  • Seo, Hwajeong;Kim, Howon
    • Journal of information and communication convergence engineering
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    • 제15권3호
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    • pp.160-164
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    • 2017
  • Public key cryptography (PKC) is the basic building block for the cryptography applications such as encryption, key distribution, and digital signature scheme. Among many PKC, elliptic curve cryptography (ECC) is the most widely used in IT systems. Recently, very efficient Montgomery-Twisted-Edward (MoTE)-ECC was suggested, which supports low complexity for the finite field arithmetic, group operation, and scalar multiplication. However, we cannot directly adopt the MoTE-ECC to new PKC systems since the cryptography is not fully evaluated in terms of performance on the Internet of Things (IoT) platforms, which only supports very limited computation power, energy, and storage. In this paper, we fully evaluate the MoTE-ECC implementations on the representative IoT devices (16-bit MSP processors). The implementation is highly optimized for the target platform and compared in three different factors (ROM, RAM, and execution time). The work provides good reference results for a gradual transition from legacy ECC to MoTE-ECC on emerging IoT platforms.

ON A CLASS OF GENERALIZED FUNCTIONS FOR SOME INTEGRAL TRANSFORM ENFOLDING KERNELS OF MEIJER G FUNCTION TYPE

  • Al-Omari, Shrideh Khalaf
    • 대한수학회논문집
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    • 제33권2호
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    • pp.515-525
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    • 2018
  • In this paper, we investigate a modified $G^2$ transform on a class of Boehmians. We prove the axioms which are necessary for establishing the $G^2$ class of Boehmians. Addition, scalar multiplication, convolution, differentiation and convergence in the derived spaces have been defined. The extended $G^2$ transform of a Boehmian is given as a one-to-one onto mapping that is continuous with respect to certain convergence in the defined spaces. The inverse problem is also discussed.

ESTIMATION OF A MODIFIED INTEGRAL ASSOCIATED WITH A SPECIAL FUNCTION KERNEL OF FOX'S H-FUNCTION TYPE

  • Al-Omari, Shrideh Khalaf Qasem
    • 대한수학회논문집
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    • 제35권1호
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    • pp.125-136
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    • 2020
  • In this article, we discuss classes of generalized functions for certain modified integral operator of Bessel-type involving Fox's H-function kernel. We employ a known differentiation formula of Fox's H-function to obtain the definition and properties of the distributional modified Bessel-type integral. Further, we derive a smoothness theorem for its kernel in a complete countably multi-normed space. On the other hand, using an appropriate class of convolution products, we derive axioms and establish spaces of modified Boehmians which are generalized distributions. On the defined spaces, we introduce addition, convolution, differentiation and scalar multiplication and further properties of the extended integral.

석탄가스 선회난류 비예혼합 화염장의 화염구조 및 NOx 배출특성 해석 (Numerical Study on Structure and Pollutant Formation for Syngas Turbulent Nonpremixed Swirling Flames)

  • 이정원;강성모;김용모;주용진
    • 한국연소학회지
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    • 제14권2호
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    • pp.10-17
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    • 2009
  • The present study numerically investigate the effects of the Syngas chemical kinetics on the basic flame properties and the structure of the Syngas nonpremixed flames. In order to realistically represent the turbulencechemistry interaction and the spatial inhomogeneity of scalar dissipation rate, the Eulerian Particle Flamelet Model (EPFM) with multiple flamelets has been applied to simulate the combustion processes and NOx formation in the syngas turbulent nonpremixed flames. Validation cases include the Syngas turbulent nonpremixed jet and swirling flames. Based on numerical results, the detailed discussion has been made for the effects of the chemical kinetics, the flame structure, and NOx formation characteristics in the turbulent Syngas nonpremixed flames.

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Simple Countermeasure to Cryptanalysis against Unified ECC Codes

  • Baek, Yoo-Jin
    • Journal of Communications and Networks
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    • 제12권1호
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    • pp.1-4
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    • 2010
  • As a countermeasure to simple power attack, the unified point addition codes for the elliptic curve cryptosystem were introduced. However, some authors proposed a different kind of power attacks to the codes. This power attack uses the observation that some internal operations in the codes behave differently for addition and doubling. In this paper, we propose a new countermeasure against such an attack. The basic idea of the new countermeasure is that, if one of the input points of the codes is transformed to an equivalent point over the underlying finite field, then the code will behave in the same manner for addition and doubling. The new countermeasure is highly efficient in that it only requires 27(n-1)/3 extra ordinary integer subtractions (in average) for the whole n-bit scalar multiplication. The timing analysis of the proposed countermeasure is also presented to confirm its SPA resistance.

Classical Relativistic Extension of Kanai's Frictional Lagrangian

  • Dubey, Ritesh Kumar;Singh, B.K.
    • Journal of the Korean Physical Society
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    • 제73권12호
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    • pp.1840-1844
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    • 2018
  • Working in an arbitrary Lorentz frame, we address the question of formulating the covariant variational principle for classical, single-particle, dissipative, relativistic mechanics. First, within a Minkowskian geometry, the basic properties of the proper time ${\tau}$ and the covariant velocity $u_{\mu}$ are recapitulated. Next, using a scalar function ${\psi}(x)$ and its negative derivatives ${\varphi}_{\mu}{^{\prime}}s$, we construct a covariant Lagrangian ${\Lambda}$ that generalizes the famous Bateman-Caldirola-Kanai Lagrangian of nonrelativistic frictional mechanics. Finally, we propose a deterministic model for ${\psi}$ (involving the drag coefficient A) whose explicit solution leads to relativistic damped Rayleigh motion in the rest frame of the medium.