Denying the Dichotomy: Word Images in The Waves by Bernadette McCarthy

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Exponential dichotomy for evolution families on the real line by Adina Luminiţa Sasu

“…We give necessary and sufficient conditions for uniform exponential dichotomy of evolution families in terms of the admissibility of the pair (Lp(ℝ,X),Lq(ℝ,X)). …”
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Categories of model and method and the semiotic dichotomy of language by N. V. Ivanov

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Admissibility for Nonuniform (μ,ν) Contraction and Dichotomy by Yongxin Jiang, Fang-fang Liao

“…Using appropriate Lyapunov norms, it is showed that if any of their associated ℒp spaces, with p∈(1,∞], is admissible for a given evolution process, then this process is a nonuniform (μ,ν) contraction and dichotomy. A collection of admissible Banach spaces for any given nonuniform (μ,ν) contraction and dichotomy is provided.…”
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Dichotomies with No Invariant Unstable Manifolds for Autonomous Equations by Răzvan O. Moşincat, Ciprian Preda, Petre Preda

“…We analyze the existence of (no past) exponential dichotomies for a well-posed autonomous differential equation (that generates a C0-semigroup {𝑇(𝑡)}𝑡≥0). …”
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Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies by Michele Dall'Arno, Francesco Buscemi, Valerio Scarani

“…The Alberti-Uhlmann criterion states that any given qubit dichotomy can be transformed into any other given qubit dichotomy by a quantum channel if and only if the testing region of the former dichotomy includes the testing region of the latter dichotomy. …”
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Exponential Dichotomy of the Two-Dimensional Linear Differential System by Ni Hua, Wang Jing, Bai Min

“…A sufficient condition for the exponential dichotomy of the linear system is given by the fixed point theorem and variable substitution, and some new results are obtained.…”
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Dichotomy or Continuum: Grice's Distinction between Natural and Nonnatural Meaning by Mehmet Hilmi Demir

“…In this revised version, instead of a dichotomy, natural and nonnatural meaning categories form a continuity, allowing overlapping and mixed intermediary categories between natural and nonnatural meaning. …”
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Beyond the dichotomy: understanding the overlap between atopic dermatitis and psoriasis by Mengmeng Li, Jiangyi Wang, Qingfeng Liu, Youqing Liu, Wenyao Mi, Wei Li, Wei Li, Jingyi Li

“…However, accumulating evidence suggests significant overlap in their immunological pathways, metabolic features, and microbiome characteristics, challenging this conventional dichotomy. This review comprehensively examines the complex relationship between psoriasis and atopic dermatitis, with particular emphasis on their shared and distinct pathogenic mechanisms. …”
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THE WEST AND NON-WEST: A NEW APPROACH TO THE OLD DICHOTOMY by D. A. Kuznetsov

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“Moscovites” - “Non-Moscovites”: from the dichotomy of opposition to the search for identity by Yuriy M. Pochta

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The Th1:Th2 Dichotomy of Pregnancy and Preterm Labour by Lynne Sykes, David A. MacIntyre, Xiao J. Yap, Tiong Ghee Teoh, Phillip R. Bennett

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TRANSFORMATION OF THE GENDER DICHOTOMY OF SPIRIT AND BODY IN POSTMODERN PHILOSOPHY AND CULTURE by O. P. Vlasova, Y. V. Makieshyna

“…The signification of the theoretical grounds for the conceptual reconstruction of the dichotomy "spirit-body" in the field of postmodern notions in philosophy and culture, the identification of the location of the given dichotomy in the processes of the transition of philosophy from being classical to the postclassical one, simultaneously, culture – to the cultural forms of postmodernity. …”
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Sheldon Wolin’s (In)Vocations: Dichotomies, Paradoxes, and the Mystery of Politics. In memoriam by Facundo Vega

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Constraints on the Origin of the Martian Dichotomy From Southern Highlands Marsquakes by Weijia Sun, Hrvoje Tkalčić

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Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy by Yong-Hui Xia, Xiaoqing Yuan, Kit Ian Kou, Patricia J. Y. Wong

“…Nonuniform exponential dichotomy has been investigated extensively. The essential condition of these previous results is based on the assumption that the nonlinear term satisfies |f(t,x)|≤μe−ε|t|. …”
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Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces by Nicolae Lupa

“…In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. …”
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Le foncier en Méditerranée : une dichotomie entre Nord et Sud ? by Mélanie Requier-Desjardins, Romain Melot, Jean-Christophe Paoli, Orlando Rodrigues, Jeanne Riaux

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Resisting Material Binaries: Unpacking persisting dichotomies of building materials in Central Africa by Robby Fivez

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Mothers, fathers, and guardians in education during the pandemic. The rural-urban dichotomy in Ecuador by Juan Cárdenas-Tapia, Fernando Pesántez-Avilés, Angel Torres-Toukoumidis

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