• Title/Summary/Keyword: Space class

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A Multi-Epoch, Simultaneous Water and Methanol Maser Survey Toward Intermediate-Mass Young Stellar Objects

  • Bae, Jae-Han;Kim, Kee-Tae;Youn, So-Young;Kim, Won-Ju;Byun, Do-Young;Kang, Hyun-Woo;Oh, Chung-Sik
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.1
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    • pp.83.1-83.1
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    • 2011
  • We report multi-epoch, simultaneous 22 GHz water and 44 GHz Class I methanol maser line survey towards 180 intermediate-mass young stellar objects, including 14 Class 0, 19 Class I objects, and 147 Herbig Ae/Be stars. We detected $H_2O$ and $CH_3OH$ maser emission towards 16 (9%) and 10 (6%) sources with one new $H_2O$ and six new $CH_3OH$ maser sources. The detection rates of both masers rapidly decrease as the central (proto)stars evolve, which is contrary to the trends in high-mass star-forming regions. This suggests that the excitations of the two masers are closely related to the evolutionary stage of the central (proto)stars and the circumstellar environments. $H_2O$ maser velocities deviate on average 9 km s-1 from the ambient gas velocities whereas $CH_3OH$ maser velocities well match with. For both maser emissions, large velocity difference (${\mid}v_{H2O}-v_{sys}{\mid}\;>\; 10kms^{-1}\; and\;{\mid}v_{CH3OH}-v_{sys}{\mid}\;>\;1kms^{-1}$) is mostly confined to Class 0 objects. The formation and disappearance of $H_2O$ maser lines are frequent and the integrated intensities of them change up to two orders of magnitude. In contrast, $CH_3OH$ maser lines usually show no significant change in the intensity, shape, and velocity. This consistent with the previous suggestion that $H_2O$ maser emission originates from the base of an outflow while 44 GHz Class I $CH_3OH$ maser emission arises from the interaction region of the outflow with the ambient gas. The isotropic maser luminosities are well correlated with the bolometric luminosities of the central the objects. The fitted relations are $L_{H2O}=1.71{\ast}10^{-9}(L_{bol})^{0.97}$ and $L_{CH3OH}=1.71{\ast}10^{-10}(L_{bol})^{1.22}$.

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FUGLEDE-PUTNAM THEOREM FOR p-HYPONORMAL OR CLASS y OPERATORS

  • Mecheri, Salah;Tanahashi, Kotaro;Uchiyama, Atsushi
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.747-753
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    • 2006
  • We say operators A, B on Hilbert space satisfy Fuglede-Putnam theorem if AX = X B for some X implies $A^*X=XB^*$. We show that if either (1) A is p-hyponormal and $B^*$ is a class y operator or (2) A is a class y operator and $B^*$ is p-hyponormal, then A, B satisfy Fuglede-Putnam theorem.

THE CLASS OF p-DEMICOMPACT OPERATORS ON LATTICE NORMED SPACES

  • Imen Ferjani;Bilel Krichen
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.137-147
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    • 2024
  • In the present paper, we introduce a new class of operators called p-demicompact operators between two lattice normed spaces X and Y. We study the basic properties of this class. Precisely, we give some conditions under which a p-bounded operator be p-demicompact. Also, a sufficient condition is given, under which each p-demicompact operator has a modulus which is p-demicompact. Further, we put in place some properties of this class of operators on lattice normed spaces.

HIGHER DIMENSIONAL MINKOWSKI PYTHAGOREAN HODOGRAPH CURVES

  • Kim, Gwang-Il;Lee, Sun-Hong
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.405-413
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    • 2004
  • Rational parameterization of curves and surfaces is one of the main topics in computer-aided geometric design because of their computational advantages. Pythagorean hodograph (PH) curves and Minkowski Pythagorean hodograph (MPH) curves have attracted many researcher's interest because they provide for rational representation of their offset curves in Euclidean space and Minkowski space, respectively. In [10], Kim presented the characterization of the PH curves in the Euclidean space and analyzed the relation between the class of PH curves and the class of rational curves. In this paper, we extend the characterization of PH curves in [10] into that of MPH curves in the general Minkowski space and consider some generalized MPH curves satisfying this characterization.

$L_1$ analytic fourier-feynman transform on the fresnel class of abstract wiener space

  • Ahn, Jae-Moon
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.99-117
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    • 1998
  • Let $(B, H, p_1)$ be an abstract Wiener space and $F(B)$ the Fresnel class on $(B, H, p_1)$ which consists of functionals F of the form : $$ F(x) = \int_{H} exp{i(h,x)^\sim} df(h), x \in B, $$ where $(\cdot, \cdot)^\sim$ is a stochastic inner product between H and B, and f is in $M(H)$, the space of complex Borel measures on H. We introduce an $L_1$ analytic Fourier-Feynman transforms for functionls in $F(B)$. Furthermore, we introduce a convolution on $F(B)$, and then verify the existence of the $L_1$ analytic Fourier-Feynman transform for the convolution product of two functionals in $F(B)$, and we establish the relationships between the $L_1$ analytic Fourier-Feynman tranform of the convolution product for two functionals in $F(B)$ and the $L_1$ analytic Fourier-Feynman transforms for each functional. Finally, we show that most results in [7] follows from our results in Section 3.

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Study on The Use of Teaching Area's Courtyard Space : Results from a Survey of Universities in Tai' an

  • Zhang, Xin-Peng;Wang, Wen-Li;Piao, Yong-Ji;Cho, Tae-Dong
    • Journal of Environmental Science International
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    • v.24 no.5
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    • pp.689-697
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    • 2015
  • Based on the survey of 4 universities in Tai' an by questionnaire survey and interviews, this study acquired and analyzed the college student users' activity type, utilization frequency, retention time, companion, preference for landscape design style, the importance of the courtyard space's environment and landscape, as well as correlations between primary attributes and activity characteristics of student users. The weight of the university teaching area's courtyard space evaluation index was obtained by Analytical Hierarchy Process. The results indicated that nearly 60% college students select to study and to rest alone as the main activity type, 80% students' utilization frequency is at least two times or more a week. In addition, the relative weight of plant landscape is the highest in the 2nd class indexes of space garden landscape, and its value is 0.113; the relative weight of cleanliness is the highest in the 3rd class indexes of space environment quality, and its value is 0.143. Therefore, it should be attached much importance to constructing the environment and landscape for studying and relaxing, and the factors of cleanliness and plant landscape etc in the further design of courtyard space are taken into full consideration.

A BANACH ALGEBRA AND ITS EQUIVALENT SPACES OVER PATHS WITH A POSITIVE MEASURE

  • Cho, Dong Hyun
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.809-823
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    • 2020
  • Let C[0, T] denote the space of continuous, real-valued functions on the interval [0, T] and let C0[0, T] be the space of functions x in C[0, T] with x(0) = 0. In this paper, we introduce a Banach algebra ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ on C[0, T] and its equivalent space ${\bar{\mathcal{F}}}({\mathcal{H}}) $, a space of transforms of equivalence classes of measures, which generalizes Fresnel class 𝓕(𝓗), where 𝓗 is an appropriate real separable Hilbert space of functions on [0, T]. We also investigate their properties and derive an isomorphism between ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ and ${\bar{\mathcal{F}}}({\mathcal{H}}) $. When C[0, T] is replaced by C0[0, T], ${\bar{\mathcal{F}}}({\mathcal{H}}) $ and ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ reduce to 𝓕(𝓗) and Cameron-Storvick's Banach algebra 𝓢, respectively, which is the space of generalized Fourier-Stieltjes transforms of the complex-valued, finite Borel measures on L2[0, T].

The Effect of Flipped Learning on the 3D Computer Graphics Class (기초 3D 그래픽 교과에 대한 플립드 러닝 적용 효과 분석)

  • Kang, Seungmook
    • Journal of Korea Multimedia Society
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    • v.19 no.2
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    • pp.460-468
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    • 2016
  • The teaching method of colleges and universities is traditionally lectures then professors has described orally in class and students has listened to accompanying with papers, mid-terms, and final exams. Jon Bergmann and Aaron Sams have developed new way of teaching called flipped learning; Classwork at home and homework in class. By adapting the method, this paper researched how efficient it is and what factors tutors should consider for better results. Specifically this research examined the flipped learning applying to basic 3D graphics class of J University in Korea and students answered surveys and took a couple of tests. Since the most students of the class did not have any background of 3D graphics, it was the first time for them to work with 3 dimensional space coordinate system. As a result, the research showed positive side of flipped learning like increasing peers' interest to the class and positive attitude about video lectures watched before coming to class.