Results 81 to 90 of about 3,883 (229)

Synthesis Strategies and Structures of Molecular Heterometallic Oxo Clusters

ChemPlusChem, Volume 89, Issue 12, December 2024.
This review presents an interdisciplinary search of multinuclear heterometallic oxo clusters, regardless of the type of ligand, to explain and classify their synthesis strategies and structures. By cataloging crystallographically characterized heterometallic oxo clusters using ligand‐per‐metal values and synthesis method notations, valuable insights ...
Takuo Minato
wiley   +1 more source

Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

Journal of Function Spaces, 2018
We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid   +2 more
doaj   +1 more source

Absolutely continuous and pure point spectra of discrete operators with sparse potentials

Mathematical Methods in the Applied Sciences, Volume 47, Issue 17, Page 13025-13036, 30 November 2024.
We consider the discrete Schrödinger operator H=−Δ+V$$ H=-\Delta +V $$ with a sparse potential V$$ V $$ and find conditions guaranteeing either existence of wave operators for the pair H$$ H $$ and H0=−Δ$$ {H}_0=-\Delta $$ or presence of dense purely point spectrum of the operator H$$ H $$ on some interval [λ0,0]$$ \left[{\lambda}_0,0\right] $$ with λ0<
Stanislav Molchanov, Oleg Safronov, Boris Vainberg   +2 more
wiley   +1 more source

Infinite‐width limit of deep linear neural networks

Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 3958-4007, October 2024.
Abstract This paper studies the infinite‐width limit of deep linear neural networks (NNs) initialized with random parameters. We obtain that, when the number of parameters diverges, the training dynamics converge (in a precise sense) to the dynamics obtained from a gradient descent on an infinitely wide deterministic linear NN.
Lénaïc Chizat, Maria Colombo, Xavier Fernández‐Real, Alessio Figalli   +3 more
wiley   +1 more source

Geometric ZWEIER Convergent Lacunary Sequence Spaces

, 2020
The main purpose of this paper is to introduce lacunary strong geometric zweier convergent sequence spaces $N_{ }^{0} \left[Z\left(G\right)\right]$, $N_{ } \left[Z\left(G\right)\right]$, $N_{ }^{\infty } \left[Z\left(G\right)\right]$consisting of all sequences $x=\left(x_{k} \right)$such that $\left[Z\left(G\right)\right]x$ are in the spaces $N_{ }^
Singh, S., Dutta, S.
openaire   +2 more sources

Yvonne Loriod and the Practice of Analytical Memory

Music Analysis, Volume 43, Issue 3, Page 331-379, October 2024.
ABSTRACT The usefulness of music analysis in memorisation is well attested in music‐performance scholarship, even though the methods and processes of analytical memorisation are rarely documented and difficult to assess, especially in a historical perspective.
Peter Asimov, Christopher Brent Murray
wiley   +1 more source

$\Delta^{f}-$lacunary statistical boundedness of order $\beta$ for sequences of fuzzy numbers

, 2023
Hıfsı Altınok, Mithat Kasap
openalex   +2 more sources

On lacunary statistically quasi-Cauchy sequences

, 2011
The main object of this paper is to investigate lacunary statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any lacunary statistically ward continuous real valued function on a lacunary statistically ward compact subset $E\subset{\textbf{R}}$ is uniformly ...
GÜNDÜZ, ÇİĞDEM, Çakallı, Hüseyin, Sönmez, Ayşe   +2 more
openaire   +3 more sources

Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces

Abstract and Applied Analysis, 2014
We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers.
M. Mursaleen, A. Alotaibi, Sunil K. Sharma   +2 more
doaj   +1 more source

Statistical convergence of order α in probability

Arab Journal of Mathematical Sciences, 2015
In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical ...
Pratulananda Das, Sanjoy Ghosal, Sumit Som   +2 more
doaj   +1 more source