Results 41 to 50 of about 6,429 (238)
Assouad Dimensions and Lower Dimensions of Some Moran Sets
Journal of Mathematics, 2020 We prove that the low dimensions of a class of Moran sets coincide with their Hausdorff dimensions and obtain a formula for the lower dimensions.
JiaQing Xiao
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Rocky Mountain Journal of Mathematics, 2005 A defining sequence for a Cantor set, \(X\), in 3-space, is a sequence of compact 3-manifolds, \((M_i)\) with boundary, each consisting of disjoint cubes with handles, \(M_{i+1}\subset\text{Int}\,M_i\) and \(X=\bigcap M_i\). If \(A\subset X\), \(g_A(X;(M_i))\) is the maximum genus of those components of the \(M_i\) which intersect \(A\).
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Advanced Materials, EarlyView.The engineering of colloidal nanocrystals with complex compositions has emerged as a highly active area of research within nanomaterials science. This review covers key aspects of colloidal solid‐solution nanocrystal formation using pulsed laser irradiation.
Marina T. Candela +4 more
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Axioms, 2021 We prove some results in set theory as applied to general topology and model theory. In particular, we study ℵ1-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor ...
Saharon Shelah
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Advanced Science, EarlyView.3D printing enables a high entropy alloy‐derived, in situ formed MnOx overlayer that suppresses oxidation–reconstruction and mitigates anodic dissolution, while enhancing electrolyte wetting and bubble release to accelerate interfacial mass transport and OER kinetics.
Benzhi Wang +8 more
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Advanced Science, EarlyView.Complex microarchitectures emerge from simple flow‐driven transformations as static mixers iteratively reorient and split material domains. Coupled with diverse deposition strategies, chaotic printing provides an accessible platform for fabricating architected materials that support biologically and chemically relevant processes. ABSTRACT Nature builds
Edna Johana Bolívar‐Monsalve +7 more
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Angewandte Chemie International Edition, EarlyView.This work establishes a universal strategy for fabricating compositionally complex solid solution alloy aerogels via pulsed‐laser ablation and the sol‐gel process. The electrocatalytic capabilities of these aerogels are subsequently evaluated for H2O2 electrosynthesis and water treatment applications.
Cui Wang +10 more
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Gramatyka nieskończoności. Ludwiga Wittgensteina krytyka teorii mnogości
Analiza i Egzystencja, 2023 The paper discusses a relatively underexamined element of Wittgenstein’s philosophy of mathematics associated with his critique of set theory. I outline Wittgenstein’s objections to the theories of Dedekind and Cantor, including the confounding of ...
Piotr Dehnel
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Kakeya sets in Cantor directions [PDF]
Mathematical Research Letters, 2008 10 pages; Preliminary ...
Bateman, Michael D., Katz, Nets Hawk
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British Educational Research Journal, EarlyView.Abstract Education has been an enduring feature of international human rights law since the Universal Declaration of Human Rights in 1948 and is the only human right that is compulsory for children. Appearing in all major human rights treaties, including the UN Convention on the Rights of the Child, education is multidimensional and a multiplier of ...
Amy Hanna
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