Ergodic Capacity for the SIMO Nakagami-<inline-formula> <graphic file="1687-1499-2009-802067-i1.gif"/></inline-formula> Channel by Vagenas EfstathiosD, Karadimas Petros, Kotsopoulos StavrosA

“…<p/> <p>This paper presents closed-form expressions for the ergodic channel capacity of SIMO (single-input and multiple output) wireless systems operating in a Nakagami-<inline-formula> <graphic file="1687-1499-2009-802067-i2.gif"/></inline-formula> fading channel. As the performance of SIMO channel is closely related to the diversity combining techniques, we present closed-form expressions for the capacity of maximal ratio combining (MRC), equal gain combining (EGC), selection combining (SC), and switch and stay (SSC) diversity systems operating in Nakagami-<inline-formula> <graphic file="1687-1499-2009-802067-i3.gif"/></inline-formula> fading channels. …”
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Parabolic inequalities with nonstandard growths and <inline-formula><graphic file="1687-2770-2006-29286-i1.gif"/></inline-formula> data by Aboulaich R, Achchab B, Meskine D, Souissi A

“…<p/> <p>We prove an existence result for solutions of nonlinear parabolic inequalities with <inline-formula><graphic file="1687-2770-2006-29286-i2.gif"/></inline-formula> data in Orlicz spaces.</p>…”
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Shapiro's cyclic inequality for even <inline-formula><graphic file="1029-242X-2002-509463-i1.gif"/></inline-formula> by Mcleod JB, Bushell PJ

“…Shapiro proposed an inequality for a cyclic sum in <inline-formula><graphic file="1029-242X-2002-509463-i2.gif"/></inline-formula> variables. All the numerical evidence indicates that the inequality is true for even <inline-formula><graphic file="1029-242X-2002-509463-i3.gif"/></inline-formula> and for odd <inline-formula><graphic file="1029-242X-2002-509463-i4.gif"/></inline-formula>. …”
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A Note on Geodesically Bounded <inline-formula> <graphic file="1687-1812-2010-393470-i1.gif"/></inline-formula>-Trees by Kirk WA

“…It is also noted that if <inline-formula> <graphic file="1687-1812-2010-393470-i3.gif"/></inline-formula> is a closed convex geodesically bounded subset of a complete <inline-formula> <graphic file="1687-1812-2010-393470-i4.gif"/></inline-formula>-tree <inline-formula> <graphic file="1687-1812-2010-393470-i5.gif"/></inline-formula> and if a nonexpansive mapping <inline-formula> <graphic file="1687-1812-2010-393470-i6.gif"/></inline-formula> satisfies <inline-formula> <graphic file="1687-1812-2010-393470-i7.gif"/></inline-formula> then <inline-formula> <graphic file="1687-1812-2010-393470-i8.gif"/></inline-formula> has a fixed point. …”
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A Note on <inline-formula> <graphic file="1029-242X-2010-584642-i1.gif"/></inline-formula>-Hyponormal Operators by Gao Zongsheng, Wang Xiaohuan

“…<p>Abstract</p> <p>We study <inline-formula> <graphic file="1029-242X-2010-584642-i2.gif"/></inline-formula>-normal operators and <inline-formula> <graphic file="1029-242X-2010-584642-i3.gif"/></inline-formula>-hyponormal operators. …”
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On the Exponent of Convergence for the Zeros of the Solutions of <inline-formula> <graphic file="1029-242X-2010-428936-i1.gif"/></inline-formula> by Alotaibi Abdullah

“…<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-428936-i2.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-428936-i3.gif"/></inline-formula> be entire functions of order less than 1 with <inline-formula> <graphic file="1029-242X-2010-428936-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-428936-i5.gif"/></inline-formula> transcendental. …”
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<inline-formula> <graphic file="1687-1812-2008-418971-i1.gif"/></inline-formula>-Stability of Picard Iteration in Metric Spaces by Rhoades BE, Qing Yuan

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Transfinite diameter of Bernstein sets in <inline-formula><graphic file="1029-242X-2002-680202-i1.gif"/></inline-formula> by Bialas-Cie&#380; Leokadia, Jedrzejowski Mieczys&#322;aw

“…<p/> <p>Let <inline-formula><graphic file="1029-242X-2002-680202-i2.gif"/></inline-formula> be a compact set in <inline-formula><graphic file="1029-242X-2002-680202-i3.gif"/></inline-formula> satisfying the following generalized Bernstein inequality: for each <inline-formula><graphic file="1029-242X-2002-680202-i4.gif"/></inline-formula> such that <inline-formula><graphic file="1029-242X-2002-680202-i5.gif"/></inline-formula>, for each polynomial <inline-formula><graphic file="1029-242X-2002-680202-i6.gif"/></inline-formula> of degree <inline-formula><graphic file="1029-242X-2002-680202-i7.gif"/></inline-formula> <inline-formula><graphic file="1029-242X-2002-680202-i8.gif"/></inline-formula> where <inline-formula><graphic file="1029-242X-2002-680202-i9.gif"/></inline-formula> is a constant independent of <inline-formula><graphic file="1029-242X-2002-680202-i10.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2002-680202-i11.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2002-680202-i12.gif"/></inline-formula> is an infinite set of natural numbers that is also independent of <inline-formula><graphic file="1029-242X-2002-680202-i13.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2002-680202-i14.gif"/></inline-formula>. …”
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<inline-formula> <graphic file="1029-242X-2010-124018-i1.gif"/></inline-formula>-Harmonic Equations and the Dirac Operator by Nolder CraigA

“…<p/> <p>We show how <inline-formula> <graphic file="1029-242X-2010-124018-i2.gif"/></inline-formula>-harmonic equations arise as components of Dirac systems. …”
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Estimates of <inline-formula> <graphic file="1029-242X-2010-435450-i1.gif"/></inline-formula>-Harmonic Conjugate Operator by Lee Jaesung, Rim KyungSoo

“…<p/> <p>We define the <inline-formula> <graphic file="1029-242X-2010-435450-i2.gif"/></inline-formula>-harmonic conjugate operator <inline-formula> <graphic file="1029-242X-2010-435450-i3.gif"/></inline-formula> and prove that for <inline-formula> <graphic file="1029-242X-2010-435450-i4.gif"/></inline-formula>, there is a constant <inline-formula> <graphic file="1029-242X-2010-435450-i5.gif"/></inline-formula> such that <inline-formula> <graphic file="1029-242X-2010-435450-i6.gif"/></inline-formula> for all <inline-formula> <graphic file="1029-242X-2010-435450-i7.gif"/></inline-formula> if and only if the nonnegative weight <inline-formula> <graphic file="1029-242X-2010-435450-i8.gif"/></inline-formula> satisfies the <inline-formula> <graphic file="1029-242X-2010-435450-i9.gif"/></inline-formula>-condition. …”
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The Obstacle Problem for the <inline-formula> <graphic file="1029-242X-2010-767150-i1.gif"/></inline-formula>-Harmonic Equation by Bao Gejun, Zhu Haijing, Cao Zhenhua

“…Secondly, we also define the supersolution and subsolution of the <inline-formula> <graphic file="1029-242X-2010-767150-i2.gif"/></inline-formula>-harmonic equation and the obstacle problems for differential forms which satisfy the <inline-formula> <graphic file="1029-242X-2010-767150-i3.gif"/></inline-formula>-harmonic equation, and we obtain the relations between the solutions to <inline-formula> <graphic file="1029-242X-2010-767150-i4.gif"/></inline-formula>-harmonic equation and the solution to the obstacle problem of the <inline-formula> <graphic file="1029-242X-2010-767150-i5.gif"/></inline-formula>-harmonic equation. …”
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Differences of Weighted Composition Operators on <inline-formula> <graphic file="1029-242X-2009-127431-i1.gif"/></inline-formula> by Dai Jineng, Ouyang Caiheng

“…<p>Abstract</p> <p>We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of <inline-formula> <graphic file="1029-242X-2009-127431-i2.gif"/></inline-formula>.</p>…”
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The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula> by Nilsrakoo Weerayuth, Saejung Satit

“…<p/> <p>We introduce a new class of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i2.gif"/></inline-formula> which properly contains all absolute normalized norms. …”
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GIF-2209, an Oxindole Derivative, Accelerates Melanogenesis and Melanosome Secretion via the Modification of Lysosomes in B16F10 Mouse Melanoma Cells by Miyu Watanabe, Kyoka Kawaguchi, Yusuke Nakamura, Kyoji Furuta, Hiroshi Takemori

“…In contrast, GIF-2209 did not alter the mRNA levels of TYRP-1 and suppressed its protein levels. …”
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The Iterative Method of Generalized <inline-formula> <graphic file="1687-1812-2011-979261-i1.gif"/></inline-formula>-Concave Operators by Zhou Yanqiu, Sun Jingxian, Sun Jie

“…<p/> <p>We define the concept of the generalized <inline-formula> <graphic file="1687-1812-2011-979261-i2.gif"/></inline-formula>-concave operators, which generalize the definition of the <inline-formula> <graphic file="1687-1812-2011-979261-i3.gif"/></inline-formula>-concave operators. …”
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Congruences for Generalized <inline-formula> <graphic file="1029-242X-2008-270713-i1.gif"/></inline-formula>-Bernoulli Polynomials by Cenkci Mehmet, Kurt Veli

“…<p>Abstract</p> <p>In this paper, we give some further properties of <inline-formula> <graphic file="1029-242X-2008-270713-i2.gif"/></inline-formula>-adic <inline-formula> <graphic file="1029-242X-2008-270713-i3.gif"/></inline-formula>-<inline-formula> <graphic file="1029-242X-2008-270713-i4.gif"/></inline-formula>-function of two variables, which is recently constructed by Kim (2005) and Cenkci (2006). …”
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Transcriptome Reveals 1400-Fold Upregulation of APOA4-APOC3 and 1100-Fold Downregulation of GIF in the Patients with Polycythemia-Induced Gastric Injury. by Kang Li, Luobu Gesang, Zeng Dan, Lamu Gusang, Ciren Dawa, Yuqiang Nie

“…In contrast, gastric intrinsic factor (GIF) was 1102-fold down-regulated in GML patients compared with the controls. …”
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A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators by Huruya Tadasi, Kim Young Ok, Ch&#333; Muneo

“…<p/> <p>Let <inline-formula><graphic file="1029-242X-2002-268130-i2.gif"/></inline-formula> be a <inline-formula><graphic file="1029-242X-2002-268130-i3.gif"/></inline-formula>-hyponormal operator with the polar decomposition <inline-formula><graphic file="1029-242X-2002-268130-i4.gif"/></inline-formula>. …”
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New Approach to <inline-formula><graphic file="1687-1847-2010-431436-i1.gif"/></inline-formula>-Euler Numbers and Polynomials by Jang Lee-Chae, Rim Seog-Hoon, Kim Taekyun, Kim Young-Hee

“…<p/> <p>We give a new construction of the <inline-formula><graphic file="1687-1847-2010-431436-i2.gif"/></inline-formula>-extensions of Euler numbers and polynomials. …”
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Some Inequalities for the <inline-formula> <graphic file="1029-242X-2009-320786-i1.gif"/></inline-formula>-Curvature Image by Daijun Wei, Yu Xiang, Weidong Wang

“…<p/> <p>Lutwak introduced the notion of <inline-formula> <graphic file="1029-242X-2009-320786-i2.gif"/></inline-formula>-curvature image and proved an inequality for the volumes of convex body and its <inline-formula> <graphic file="1029-242X-2009-320786-i3.gif"/></inline-formula>-curvature image. …”
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