• 제목/요약/키워드: G(f)-sequence

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ON THE G(F)-SEQUENCE OF A CW-TRIPLE

  • Son, Hong-Chan
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제6권2호
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    • pp.103-111
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    • 1999
  • We find some conditions under which G(f)-sequence of a CW-pair (X, A) is exact. And we also introduce a G(f)-sequence for a CW-triple (X, A, B) and examine when the sequence is exact.

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A sequence of homotopy subgroups of a CW-pair

  • Woo, Moo-Ha
    • 대한수학회논문집
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    • 제11권1호
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    • pp.235-244
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    • 1996
  • For a self-map f of a CW-pair (X, A), we introduce the G(f)-sequence of (X, A) which consists of subgroups of homotopy groups in the homotopy sequence of (X, A) and show some properties of the relative homotopy Jian groups. We also show a condition for the G(f)-sequence to be exact.

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LOCALIZATION PROPERTY AND FRAMES

  • HA, YOUNG-HWA;RYU, JU-YEON
    • 호남수학학술지
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    • 제27권2호
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    • pp.233-241
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    • 2005
  • A sequence $\{f_i\}^{\infty}_{i=1}$ in a Hilbert space H is said to be exponentially localized with respect to a Riesz basis $\{g_i\}^{\infty}_{i=1}$ for H if there exist positive constants r < 1 and C such that for all i, $j{\in}N$, ${\mid}{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ and ${\mid}{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ where $\{{\tilde{g}}_i\}^{\infty}_{i=1}$ is the dual basis of $\{g_i\}^{\infty}_{i=1}$. It can be shown that such sequence is always a Bessel sequence. We present an additional condition which guarantees that $\{f_i\}^{\infty}_{i=1}$ is a frame for H.

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APPROXIMATING COMMON FIXED POINTS OF A SEQUENCE OF ASYMPTOTICALLY QUASI-f-g-NONEXPANSIVE MAPPINGS IN CONVEX NORMED VECTOR SPACES

  • Lee, Byung-Soo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제20권1호
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    • pp.51-57
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    • 2013
  • In this paper, we introduce asymptotically quasi-$f-g$-nonexpansive mappings in convex normed vector spaces and consider approximating common fixed points of a sequence of asymptotically quasi-$f-g$-nonexpansive mappings in convex normed vector spaces.

G(f)-SEQUENCES AND FIBRATIONS

  • Woo, Moo-Ha
    • 대한수학회논문집
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    • 제12권3호
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    • pp.709-715
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    • 1997
  • For a fibration (E,B,p) with fiber F and a fiber map f, we show that if the inclusion $i : F \to E$ has a left homotopy inverse, then $G^f_n(E,F)$ is isomorphic to $G^f_n(F,E) \oplus \pi_n(B)$. In particular, by taking f as the identity map on E we have $G_n(E,F)$ is isomorphic to $G_n(F) \oplus \pi_n(B)$.

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Cloning, Sequencing and Baculovirus-based Expression of Fusion-Glycoprotein D Gene of Herpes Simplex Virus Type 1 (F)

  • Uh, Hong-Sun;Choi, Jin-Hee;Byun, Si-Myung;Kim, Soo-Young;Lee, Hyung-Hoan
    • BMB Reports
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    • 제34권4호
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    • pp.371-378
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    • 2001
  • The Glycoprotein D (gD) gene of the HSV-1 strain F was cloned, sequenced, recombinated into the HcNPV (Hyphantria cunea nuclear polyhedrosis virus) expression vector and expressed in insect cells. The gD gene was located in the 6.43 kb BamHI fragment of the strainF. The open reading frame (ORF) of the gD gene was 1,185 by and codes 394 amino acid residues. Recombinant baculoviruses, GD-HcNPVs, expressing the gD protein were constructed. Spodoptera frugiperda cells, infected with the recombinant virus, synthesized a matured gX-gD fusion protein with an approximate molecular weight of 54 kDa and secreted the gD proteins into the culture media by an immunoprecipitation assay The fusion gD protein was localized on the membrane of the insect cells, seen by using an immunofluorescence assay The deduced amino acid sequence presents additional characteristics compatible with the structure of a viral glycoprotein: signal peptide, putative glycosylation sites and a long C-terminal transmembrane sequence. These results indicate the utility of the HcNPV-insect cell system for producing and characterizing eukaryotic proteins.

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AN EXTENSION OF GOTTLIEB GROUPS

  • Lee, Kee-Young;Woo, Moo-Ha
    • 대한수학회지
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    • 제34권3호
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    • pp.653-659
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    • 1997
  • In this paper, we extend the Gottlieb groups of a space to the Gottlieb groups of a map and show some properties of those groups. Especially, We show the 2nd Gottlieb group of a map is contained in the center of the homotopy group of the map and show $G_n(F) = \pi_n(f)$ for an H-map f between H-spaces. We also show the Gottlieb subgroups $G_n(A), G_n(X) and G_n(f)$ make a sequence if the map $f : A \to X$ has a right homotopy inverse.

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Pseudomonas sp. Strain DJ77에서 phnF 유전자의 구조 (Structure and Function of the phnF Gene of Pseudomonas sp. Strain DJ77)

  • 이성훈;김성재;신명수;김치경;임재윤;이기성;민경희;김영창
    • 미생물학회지
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    • 제33권2호
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    • pp.92-96
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    • 1997
  • Pseudomonas sp. strain DJ77로부터 클로닝한 catechol 분해와 관련된 phnDEFG 유전자들이 존재하는 pHENX7에서 phnF 유전자의 염기서열을 밝혔다. Extradiol dioxygenase 유전자인 phnE와, 2-hydroxymuconic semialdehyde dehydrogenase를 생산하는 phnG 유전자 사이에 존재하는 유전자 phnF는 432 bps로 된 하나의 open reading frame(ORF)으로 존재하였고, 여기서 유추한 아미노산은 143개로 분자량 13,859 dalton의 polypeptide를 만들어 내고 있다. phnF 유전자는 Sphingomonas sp. strain HV3 catE 유전자 부위와 sphingomonas yanoikuyae B1의 xylE와 xylG 사이에 존재하는 ORF 부위의 염기서열과 각각 99%, 68.6%의 상동성을 가지고 있었다. 또한 PhnF 단백질의 아미노산서열은 citrobacter freundii DSM30040의 orfY 부위의 아미노산서열과 62.3%의 상동성이 있었다.

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ON THE LEBESGUE SPACE OF VECTOR MEASURES

  • Choi, Chang-Sun;Lee, Keun-Young
    • 대한수학회보
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    • 제48권4호
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    • pp.779-789
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    • 2011
  • In this paper we study the Banach space $L^1$(G) of real valued measurable functions which are integrable with respect to a vector measure G in the sense of D. R. Lewis. First, we investigate conditions for a scalarly integrable function f which guarantee $f{\in}L^1$(G). Next, we give a sufficient condition for a sequence to converge in $L^1$(G). Moreover, for two vector measures F and G with values in the same Banach space, when F can be written as the integral of a function $f{\in}L^1$(G), we show that certain properties of G are inherited to F; for instance, relative compactness or convexity of the range of vector measure. Finally, we give some examples of $L^1$(G) related to the approximation property.

ASYMPTOTIC NORMALITY OF WAVELET ESTIMATOR OF REGRESSION FUNCTION UNDER NA ASSUMPTIONS

  • Liang, Han-Ying;Qi, Yan-Yan
    • 대한수학회보
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    • 제44권2호
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    • pp.247-257
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    • 2007
  • Consider the heteroscedastic regression model $Y_i=g(x_i)+{\sigma}_i\;{\epsilon}_i=(1{\leq}i{\leq}n)$, where ${\sigma}^2_i=f(u_i)$, the design points $(x_i,\;u_i)$ are known and nonrandom, and g and f are unknown functions defined on closed interval [0, 1]. Under the random errors $\epsilon_i$ form a sequence of NA random variables, we study the asymptotic normality of wavelet estimators of g when f is a known or unknown function.