• 제목/요약/키워드: X-vector

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큰 사이즈 아이템들에 대한 2차원 벡터 패킹문제의 어려움 (Hardness of Approximation for Two-Dimensional Vector Packing Problem with Large Items)

  • 황학진;강장하
    • 대한산업공학회지
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    • 제38권1호
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    • pp.1-6
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    • 2012
  • We consider a two-dimensional vector packing problem in which each item has size in x- and y-coordinates. The purpose of this paper is to provide a ground work on how hard two-dimensional vector packing problems are for large items. We prove that the problem with each item greater than 1/2-${\varepsilon}$ either in x- or y-coordinates for 0 < ${\varepsilon}$ ${\leq}$ 1/6 has no APTAS unless P = NP.

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM IN TERMS OF THE STRUCTURE JACOBI OPERATOR

  • Ki, U-Hang;Kurihara, Hiroyuki
    • 대한수학회논문집
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    • 제37권1호
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    • pp.229-257
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    • 2022
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, 𝜉, 𝜂, g) in a complex space form Mn+1(c), c ≠ 0. We denote by A and R𝜉 the shape operator in the direction of distinguished normal vector field and the structure Jacobi operator with respect to the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(< 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies R𝜉A = AR𝜉 and at the same time ∇𝜉R𝜉 = 0 on M, then M is a Hopf hypersurface of type (A) provided that the scalar curvature s of M holds s - 2(n - 1)c ≤ 0.

난방기용 콘형 가스버너에서 3차원 난류 유동장 고찰 - 벡터장 및 평균속도에 대하여 - (Investigation of the Three-dimensional Turbulent Flow Fields in Cone Type Gas Burner for Furnace - On the Vector Fields and Mean Velocities -)

  • 김장권;정규조;김석우;김인규
    • 동력기계공학회지
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    • 제4권4호
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    • pp.25-31
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    • 2000
  • This paper represents the vector fields and three dimensional mean velocities in the X-Y plane of cone type swirl gas burner measured by using X-probe from the hot-wire anemometer system. This experiment is carried out at flowrate 350 and $450{\ell}/min$ respectively in the test section of subsonic wind tunnel. The vector plot shows that the maximum axial mean velocity component is focused in the narrow slits distributed radially on the edge of a cone type swirl burner, for that reason, there is some entrainment of ambient air in the outer region of the burner and the rotational flow can be shown in the inner region of the burner because mean velocity W is distributed about twice as large as mean velocity V due to inclined flow velocity ejecting from the swirl vanes of a cone type baffle plate of burner. Moreover, the mean velocities are largely distributed near the outer region of burner within $X/R{\fallingdotseq}1.5$, hence, the turbulent characteristics are anticipated to be distributed largely in the center of this region due to the large inclination of mean velocity and swirl effect.

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GENERALIZED CUBIC MAPPINGS OF r-TYPE IN SEVERAL VARIABLES

  • Kang, Dong Seung
    • 충청수학회지
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    • 제20권1호
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    • pp.37-45
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    • 2007
  • Let X, Y be vector spaces. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability problem for a cubic function $f:X{\rightarrow}Y$ satisfies $$r^3f(\frac{\Sigma_{j=1}^{n-1}x_j+2x_n}{r})+r^3f(\frac{\Sigma_{j=1}^{n-1}x_j-2x_n}{r})+8\sum_{j=1}^{n-1}f(x_j)=2f{\sum_{j=1}^{n-1}}x_j)+4{\sum_{j=1}^{n-1}}(f(x_j+x_n)+f(x_j-x_n))$$ for all $x_1,{\cdots},x_n{\in}X$.

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MATCHING THEOREMS AND SIMULTANEOUS RELATION PROBLEMS

  • Balaj, Mircea;Coroianu, Lucian
    • 대한수학회보
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    • 제48권5호
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    • pp.939-949
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    • 2011
  • In this paper we give two matching theorems of Ky Fan type concerning open or closed coverings of nonempty convex sets in a topological vector space. One of them will permit us to put in evidence, when X and Y are convex sets in topological vector spaces, a new subclass of KKM(X, Y) different by any admissible class $\mathfrak{u}_c$(X, Y). For this class of set-valued mappings we establish a KKM-type theorem which will be then used for obtaining existence theorems for the solutions of two types of simultaneous relation problems.

SINGULAR THIRD-ORDER 3-POINT BOUNDARY VALUE PROBLEMS

  • Palamides, Alex P.
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.697-710
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    • 2010
  • In this paper, we prove existence of infinitely many positive and concave solutions, by means of a simple approach, to $3^{th}$ order three-point singular boundary value problem {$x^{\prime\prime\prime}(t)=\alpha(t)f(t,x(t))$, 0 < t < 1, $x(0)=x'(\eta)=x^{\prime\prime}(1)=0$, (1/2 < $\eta$ < 1). Moreover with respect to multiplicity of solutions, we don't assume any monotonicity on the nonlinearity. We rely on a combination of the analysis of the corresponding vector field on the phase-space along with Knesser's type properties of the solutions funnel and the well-known Krasnosel'ski$\breve{i}$'s fixed point theorem. The later is applied on a new very simple cone K, just on the plane $R^2$. These extensions justify the efficiency of our new approach compared to the commonly used one, where the cone $K\;{\subset}\;C$ ([0, 1], $\mathbb{R}$) and the existence of a positive Green's function is a necessity.

Vesicular Stomatitis Virus G Glycoprotein Envelope으로 포장된 Defective Retroviral Vector를 이용한 닭의 배로의 유전자 전이 (Gene Transfer into Chicken Embryos using Defective Retroviral Vectors Packaged with Vesicular Stomatitis Virus G Glycoprotein Envelopes)

  • 권모선;임은정;허영태;이훈택;이영만;김태완
    • 한국가축번식학회지
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    • 제25권2호
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    • pp.171-180
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    • 2001
  • 형질전환 가금의 생산에 있어서 retrovirus vector를 이용하는 방법은 다양한 종류의 표적세포에 대하여 retrovirus 고유의 감염성에 의한 외래 유전자의 전이가 용이하고, 전이된 유전자가 진정염색질 영역 내로 선택적으로 도입될 수 있으며 유전적으로 안정성을 나타내므로 매우 효과적인 방법이다. 그러나 가금에서는 초기 배발달에 의한 급격한 세포의 수적 증가로 인해 고감염성의 virus의 획득이 요구되므로, 이를 위하여 virus stock의 농축에 있어 보다 안정적이고 pantropic인 vesicular stomatitis virus (VSV G) glycoprotein를 envelope로 가지는 pseudotyped retrovirus vector system을 이용하였으며, marker gene으로 eGFP gene이 발현되는 retrovirus를 생산하였다. 이 virus를 이용하여 여러 가지 표적세포와 primary culture한 CEF세포를 감염시켜 GFP의 발현을 확인하였으며, 농축한 virus stock은 stage X의 계란을 선택하여 windowed egg를 제작한 후 배하층에 주입하였다. 형질전환 닭은 정상 발생한 닭에 비하여 저조한 발생율을 보였으나 PCR을 이용하여 외래 유전자의 도입을 확인한 결과 100%인 것으로 나타났다. 또한 한 개체 내에서 유전자의 도입이 폐, 간, 정소, 소장 등의 여러 장기에서 확인되었다.

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ON COMBINATORICS OF KONHAUSER POLYNOMIALS

  • Kim, Dong-Su
    • 대한수학회지
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    • 제33권2호
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    • pp.423-438
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    • 1996
  • Let L be a linear functional on the vector space of polynomials in x. Let $\omega(x)$ be a polynomial in x of degree d, for some positive integer d. We consider two sets of polynomials, ${R_n (x)}_{n \geq 0}, {S_n(x)}_{n \geq 0}$, such that $R_n(x)$ is a polynomial in x of degree n and $S_n(x)$ is a polynomial in $\omega(x)$ of degree n. (So $S_n(x)$ is a polynomial in x of degree dn.)

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