• Title/Summary/Keyword: G-L theory

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BRILL-NOETHER THEORY FOR RANK 1 TORSION FREE SHEAVES ON SINGULAR PROJECTIVE CURVES

  • Ballico, E.
    • Journal of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.359-369
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    • 2000
  • Let X be an integral Gorenstein projective curve with g:=pa(X) $\geq$ 3. Call $G^r_d$ (X,**) the set of all pairs (L,V) with L$\epsilon$Pic(X), deg(L) = d, V $\subseteq$ H^0$(X,L), dim(V) =r+1 and V spanning L. Assume the existence of integers d, r with 1 $\leq$ r$\leq$ d $\leq$ g-1 such that there exists an irreducible component, , of $G^r_d$(X,**) with dim($\Gamma$) $\geq$ d - 2r and such that the general L$\geq$$\Gamma$ is spanned at every point of Sing(X). Here we prove that dim( ) = d-2r and X is hyperelliptic.

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THE INDEX FOR A TOPOLOGICAL DEGREE THEORY FOR DENSELY DENIED OPERATORS OF TYPE ${S_+}_O,L$ IN BANACH SPACES

  • Kartsatos, Athanassios G.;Skrypnik, Igor V.
    • Journal of the Korean Mathematical Society
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    • v.37 no.6
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    • pp.901-913
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    • 2000
  • This is a summary of results involving the development of a theory of an index of an isolated critical point for densely defined nonlinear operators of type (S(sub)+)(sub)0,L. This index theory is associated with a degree theory, for such operators, whch has been recently developed by the authors.

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PROPERTIES OF A SEQUENCE SPACE l(s,t)

  • Kwon, E.G.
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.269-280
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    • 1998
  • Elementary properties of the sequence space l(s, t) are studied with applications to Hardy space theory.

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A Modfication Study on Horizontal Earth Pressure in the Symmetrically Sloped Backfilled Space (대칭적으로 경사진 되메움된 공간에서의 수평토압에 대한 수정연구)

  • Moon, Chang-Yeul
    • Journal of the Korean GEO-environmental Society
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    • v.4 no.2
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    • pp.57-64
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    • 2003
  • Marston (1913) and Spangler's (1982) theory was widely used in the analysis of the earth pressure of the narrow and long excavated ditch type backfield ground. Their theory was more clearly explained by expressing the minor principle stress arch connecting the minor principle stress link induced by interaction between the excavated wall surface and the backfilled earth. which was done by R.L. Handy(1985). Later C.G. Kellogg(1993) extended the study from vertical symmetric to incline symmetric in the backfill space type research. In the C.G. Kellogg's study, it is assumed that the resistance of wall friction on the sloping wall could be replaced by the internal friction angle in the sloping section bottom. In the study, the resistance of wall friction in the sloping section bottom, which was applied by C.G. Kellogg, would be different in magnitude with the resistance of wall friction in sloping section. The magnitude is expected to affect in the earth pressure calculation and verified by the soil test box, the C.G. Kellogg's theory, the numerical analysis and the modified C.G. Kellogg's theory considering the friction resistance to influence the incline wall.

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A Local Alignment Algorithm using Normalization by Functions (함수에 의한 정규화를 이용한 local alignment 알고리즘)

  • Lee, Sun-Ho;Park, Kun-Soo
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.5_6
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    • pp.187-194
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    • 2007
  • A local alignment algorithm does comparing two strings and finding a substring pair with size l and similarity s. To find a pair with both sufficient size and high similarity, existing normalization approaches maximize the ratio of the similarity to the size. In this paper, we introduce normalization by functions that maximizes f(s)/g(l), where f and g are non-decreasing functions. These functions, f and g, are determined by experiments comparing DNA sequences. In the experiments, our normalization by functions finds appropriate local alignments. For the previous algorithm, which evaluates the similarity by using the longest common subsequence, we show that the algorithm can also maximize the score normalized by functions, f(s)/g(l) without loss of time.

A novel model of a nonlocal porous thermoelastic solid with temperature-dependent properties using an eigenvalue approach

  • Samia M. Said
    • Geomechanics and Engineering
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    • v.32 no.2
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    • pp.137-144
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    • 2023
  • The current article studied wave propagation in a nonlocal porous thermoelastic half-space with temperature-dependent properties. The problem is solved in the context of the Green-Lindsay theory (G-L) and the Lord- Shulman theory (L-S) based on thermoelasticity with memory-dependent derivatives. The governing equations of the porous thermoelastic solid are solved using normal mode analysis with an eigenvalue approach. In order to illustrate the analytical developments, the numerical solution is carried out, and the effect of local parameter and temperature-dependent properties on the physical fields are presented graphically.

NOTES ON SELECTION PRINCIPLES IN TOPOLOGY (I): PARACOMPACTNESS

  • BABINKOSTOVA L.;KOCINAC LJ. D. R.;SCHEEPERS M.
    • Journal of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.709-721
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    • 2005
  • G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

On the fixed-point theorems on the infrasolvmanifolds

  • Chun, Dae-Shik;Jang, Chan-Gyu;Lee, Sik
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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    • pp.681-688
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    • 1995
  • Fixed-point theory has an extension to coincidences. For a pair of maps $f,g:X_1 \to X_2$, a coincidence of f and g is a point $x \in X_1$ such that $f(x) = g(x)$, and $Coin(f,g) = {x \in X_1 $\mid$ f(x) = g(x)}$ is the coincidence set of f and g. The Nielsen coincidence number N(f,g) and the Lefschetz coincidence number L(f,g) are used to estimate the cardinality of Coin(f,g). The aspherical manifolds whose fundamental group has a normal solvable subgroup of finite index is called infrasolvmanifolds. We show that if $M_1,M_2$ are compact connected orientable infrasolvmanifolds, then $N(f,g) \geq $\mid$L(f,g)$\mid$$ for every $f,g : M_1 \to M_2$.

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Security-equipment building cause based on 「grounded theory」 approaches (융합보안 설비구축 원인에 대한 근거이론적 접근)

  • Lim, Heon-Wook
    • Convergence Security Journal
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    • v.16 no.7
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    • pp.69-75
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    • 2016
  • The government is to prevent technology leakage in 2007, the Industrial Technology Protection Act was enacted and encouraging deployment of security equipment. in this study, corporate security equipment for the tried to determine the cause. In contrast to quantitative research, which is an existing research method, Barney G. Glaser & Anselm L. Strauss used a grounded theory as a kind of qualitative methodology in social science. As a result, it was found that the higher the government subsidy, the request from the representative or the client, the higher the efficiency through the prevention of technology leakage, the higher the sales increase, In the United States.

MULTIPLICITY RESULTS OF CRITICAL LOCAL EQUATION RELATED TO THE GENUS THEORY

  • Mohsen Alimohammady;Asieh Rezvani;Cemil Tunc
    • Communications of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.1045-1061
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    • 2023
  • Using variational methods, Krasnoselskii's genus theory and symmetric mountain pass theorem, we introduce the existence and multiplicity of solutions of a parameteric local equation. At first, we consider the following equation $$\{-div[a(x,{\mid}{\nabla}u{\mid}){\nabla}u]\,=\,{\mu}(b(x){\mid}u{\mid}^{s(x)-2}-{\mid}u{\mid}^{r(x)-2})u\;in\;{\Omega},\\u\,=0\,on\;{\partial}{\Omega},$$ where Ω⊆ ℝN is a bounded domain, µ is a positive real parameter, p, r and s are continuous real functions on ${\bar{\Omega}}$ and a(x, ξ) is of type |ξ|p(x)-2. Next, we study boundedness and simplicity of eigenfunction for the case a(x, |∇u|)∇u = g(x)|∇u|p(x)-2∇u, where g ∈ L(Ω) and g(x) ≥ 0 and the case $a(x,\,{\mid}{\nabla}u{\mid}){{\nabla}u}\,=\,(1\,+\,{\nabla}u{\mid}^2)^{\frac{p(x)-2}{2}}{\nabla}u$ such that p(x) ≡ p.