Results 51 to 60 of about 2,765 (179)
More Than a Buffer in Biochemistry: Tris as an Architect and Gatekeeper of Metal–Oxo Assembly
Angewandte Chemie International Edition, Volume 65, Issue 13, 23 March 2026.Tris(hydroxymethyl)aminomethane, depicted as an octopus, acts as an alkoxy ligand, chelator, and structure‐directing buffer that programs polyoxometalate's speciation, nucleation, and heterometal insertion in aqueous solution. ABSTRACT Polyoxometalates (POMs, molecular metal–oxo clusters) are typically studied and applied in aqueous media, where ...
Nadiia I. Gumerova, Annette Rompel
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The dimension of well approximable numbers
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
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I-asymptotically lacunary statistical equivalent sequences in partial metric spaces [PDF]
Mathematica MoravicaThe present study deals with I-asymptotically equivalent sequences in partial metric spaces. We define the notions of strongly I-asymptotically lacunary equivalent, I-asymptotically statistical equivalent, and I-asymptotically lacunary statistical ...
Or Aykut, Çakı Ahmet
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The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 Let uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala +2 more
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Some reverse $l_p$-type inequalities involving certain quasi monotone sequences
, 2015 In this paper, we give some $l_p$-type inequalities about sequences satisfying certain quasi monotone type properties. As special cases, reverse $l_p$-type inequalities for non-negative decreasing sequences are obtained.
Berisha, Faton M. +3 more
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A pointwise ergodic theorem along return times of rapidly mixing systems
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3730-3748, December 2025.Abstract We introduce a new class of sparse sequences that are ergodic and pointwise universally L2$L^2$‐good for ergodic averages; that is, sequences along which the ergodic averages converge almost surely to the projection to invariant functions.
Sebastián Donoso +2 more
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Arab Journal of Mathematical Sciences, 2014 In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the ...
Metin Başarır, Şükran Konca
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Metric number theory, lacunary series and systems of dilated functions
, 2013 By a classical result of Weyl, for any increasing sequence $(n_k)_{k \geq 1}$ of integers the sequence of fractional parts $(\{n_k x\})_{k \geq 1}$ is uniformly distributed modulo 1 for almost all $x \in [0,1]$. Except for a few special cases, e.g. when $
Aistleitner, Christoph
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Extremal discrepancy behavior of lacunary sequences [PDF]
Monatshefte für Mathematik, 2014 In 1975 Walter Philipp proved the law of the iterated logarithm (LIL) for the discrepancy of lacunary sequences: for any sequence $(n_k)_{k \geq 1}$ satisfying the Hadamard gap condition $n_{k+1} / n_k \geq q > 1,~k \geq 1,$ we have $$ \frac{1}{4 \sqrt{2}} \leq \limsup_{N \to \infty} \frac{N D_N(\{ n_1 x \}, \dots, \{n_N x\})}{\sqrt{2 N \log \log N}}
Aistleitner, Christoph, Fukuyama, Katusi
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Advanced Science, Volume 12, Issue 38, October 13, 2025.A small Pd nanocluster is successfully prepared within a ring‐shaped polyoxometalate via a mild solid‐state reduction process. The resulting surface‐exposed Pd nanocluster functions as a robust heterogeneous reusable catalyst, enabling highly chemoselective hydrogenation of substrates containing multiple reducible functional groups via selective ...
Rui Xi +8 more
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