• Title/Summary/Keyword: $Z_2$

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FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS

  • Shanmugam, T.N.;Ramachandram, C.;Ravichandran, V.
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.589-598
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    • 2006
  • In the present investigation, sharp upper bounds of $|a3-{\mu}a^2_2|$ for functions $f(z)=z+a_2z^2+a_3z^3+...$ belonging to certain subclasses of starlike and convex functions with respect to symmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives are obtained.

p-EQUIVARIANT SPINC-STRUCTURES

  • Cho, Yong-Seung;Hong, Yoon-Hi
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.1
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    • pp.17-28
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    • 2003
  • Let X be a closed, oriented, Riemannian 4-manifold with ${{b_2}^+}(x)\;>\;1$ and of simple type. Suppose that ${\sigma}\;:\;X\;{\rightarrow}\;X$ is an involution preserving orientation with an oriented, connected, compact 2-dimensional submanifold $\Sigma$ as a fixed point set with ${\Sigma\cdot\Sigma}\;{\geq}\;0\;and\;[\Sigma]\;{\neq}\;0\;{\in}\;H_2(X;\mathbb{Z})$. We show that if _X(\Sigma)\;+\;{\Sigma\cdots\Sigma}\;{\neq}\;0$ then the $Spin^{C}$ bundle $\={P}$ is not $\mathbb{Z}_2-equivariant$, where det $\={P}\;=\;L$ is a basic class with $c_1(L)[\Sigma]\;=\;0$.

Characterization of an Unconventional MALDI-MS Peak from DHB/pyridine Ionic Liquid Matrices

  • Hong, Jangmi;Kim, Jeongkwon
    • Mass Spectrometry Letters
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    • v.11 no.1
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    • pp.6-9
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    • 2020
  • Matrix-assisted laser desorption/ionization-mass spectrometry (MALDI-MS) analysis of ionic liquid matrices (ILMs) prepared using pyridine and dihydroxybenzoic acid (DHB), such as 2,3-DHB and 2,5-DHB, displayed an unconventional peak at m/z 232.0, which was regarded as [DHB+pyridine-H]+. The peak at m/z 232.0 was not observed from other ILMs prepared using other DHB isomers, such as 2,4-DHB, 2,6-DHB, 3,4-DHB, and 3,5-DHB. Two requirements to observe the peak at m/z 232.0 in a DHB/pyridine ILM are suggested. First, carboxyl and hydroxyl groups must be located ortho to each other. Second, the secondary hydroxyl group must be located at a carbon with a high electron density. Based on these two requirements, a potential mechanism for the generation of the peak at m/z 232.0 is suggested.

Autonomous Driving Acceleration Estimation Model According to the Slope of the Road (도로의 경사도에 따른 자율주행 가속도 추정 모델)

  • Park, KyeoungWook;Heo, Myungseon;Oh, Youngchul;Han, Jihyeong;Jeong, HwaHyen;You, Byungyong
    • IEMEK Journal of Embedded Systems and Applications
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    • v.16 no.6
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    • pp.285-292
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    • 2021
  • Autonomous vehicles are divided into an upper controller that calculates control value through cognitive judgment and a lower controller that appropriately transmits its control value to an actuator. Here, the longitudinal control in a lower controller has a problem as the road slopes due to the property of the Acceleration sensor to output the acceleration as the slope of the device. Therefore, in this paper, a sigmoid function is proposed to determine the slope to compensate for this problem. Through the experiment, Checked performance by comparing the existing table model with the proposed model.

A NOTE ON PATH-CONNECTED ORTHOMODULAR LATTICES

  • Park, Eun-Soon
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.217-225
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    • 1996
  • An orthomodular lattice (abbreviated by OML) is an ortholattice L which satisfies the orthomodular law: if x $\leq$ y, then $y = x \vee (x' \wedge y)$ [5]. A Boolean algebra B is an ortholattice satisfying the distributive law : $x \vee (g \wedge z) = (x \vee y) \wedge (x \vee z) \forall x, y, z \in B$.

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Projective Objects in the Category of Compact Spaces and ${\sigma}Z^#$-irreducible Maps

  • Kim, Chang-il
    • Journal for History of Mathematics
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    • v.11 no.2
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    • pp.83-90
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    • 1998
  • Observing that for any compact space X, the minimal basically disconnected cover ${\bigwedge}Λ_X$ : ${\bigwedge}Λ_X{\leftrightarro}$ is ${\sigma}Z^#$-irreducible, we will show that the projective objects in the category of compact spaces and ${\sigma}Z^#$-irreducible maps are precisely basically disconnected spaces.

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REPRODUCING KERNEL KREIN SPACES

  • Yang, Mee-Hyea
    • Journal of applied mathematics & informatics
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    • v.8 no.2
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    • pp.659-668
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    • 2001
  • Let S(z) be a power series with operator coefficients such that multiplication by S(z) is an everywhere defined transformation in the square summable power series C(z). In this paper we show that there exists a reproducing kernel Krein space which is state space of extended canonical linear system with transfer function S(z). Also we characterize the reproducing kernel function of the state space of a linear system.