Results 51 to 60 of about 31,208 (175)

n-Color partitions with weighted differences equal to minus two

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper we study those n-color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence ...
A. K. Agarwal, R. Balasubrananian
doaj   +1 more source

On Eisenstein series in $M_{2k}(\Gamma_0(N))$ and their applications

, 2018
Let $k,N \in \mathbb{N}$ with $N$ square-free and $k>1$. We prove an orthogonal relation and use this to compute the Fourier coefficients of the Eisenstein part of any $f(z) \in M_{2k}(\Gamma_0(N))$ in terms of sum of divisors function. In particular, if
Aygin, Zafer Selcuk
core   +1 more source

Convolution Sums of Some Functions on Divisors

Rocky Mountain Journal of Mathematics, 2007
This is an old paper uploaded for archival ...
openaire   +4 more sources

Sonified Signals From a Compact FT‐ICR Instrument: A Feasibility Study. I—Data Mapping to an Equal‐Tempered Chromatic Scale

Rapid Communications in Mass Spectrometry, EarlyView.
ABSTRACT Rationale Ions trapped within a Penning cell (ICR) travel periodic orbits whose frequencies are dependent on their mass‐to‐charge ratio and the value of the magnetic field passing through the trap. Fourier transformation (FT‐ICR) decomposes the signal induced in the detection circuit by the rotation of the ions in the cell after the ...
Patrick Arpino, Michel Heninger
wiley   +1 more source

Analogies and differences between the logic behind statistical hypothesis testing and proofs by contradiction: What can we learn from them?

Teaching Statistics, EarlyView.
Abstract Statistical hypothesis testing (SHT) is widely employed across numerous scientific disciplines, and a clear understanding of its underlying logic is essential for the broader scientific community. Here, drawing upon both epistemological and statistical perspectives, we aim to clarify—primarily for educational purposes—the logical relationship ...
Maria Cristina Amoretti, Daniele De Martini   +1 more
wiley   +1 more source

A Generalization of the Sum of Divisors Function

, 2022
A generalization of the sum of divisors function involves a recursive definition. This leads to variants of superabundant numbers, colossally abundant numbers, and Gronwall's theorem (relevant to the Riemann hypothesis).
Darrell Cox, Sourangshu Ghosh, Eldar Sultanow   +2 more
openaire   +3 more sources

Time‐resolved XPCS analysis across broad time‐scales using multi‐tau two‐time correlations

Journal of Synchrotron Radiation, EarlyView.
A scalable multi‐tau two‐time correlation framework enables efficient, time‐resolved XPCS analysis of long duration high‐frame‐rate modern synchrotron data while preserving sensitivity to non‐stationary dynamics.We present a multi‐tau two‐time correlation (MT‐2TC) analysis for X‐ray photon correlation spectroscopy that enables efficient analysis of ...
Fabio Brugnara, Marco Cammarata, Yuriy Chushkin, Irene Festi, Massimo Granata, David Hofman, Matteo Leonardi, Daniele Marzi, Denis Nabari, Angela Trapananti, Simone Ziglio, Federico Zontone, Marco Zanatta, Giacomo Baldi   +13 more
wiley   +1 more source

Predictors of reduced length of stay in minimally invasive colectomy, a 20‐year study

Surgical Practice, EarlyView.
Abstract Purpose Minimally invasive colorectal resection is a common surgical procedure indicated for a variety of malignant and benign conditions. Length of stay (los) is an important metric in the evaluation of surgical care quality and healthcare expenditure.
Elisa Tran, Angel Hayes, Amy Cao, Andrew Stevenson, David Clark   +4 more
wiley   +1 more source

A fast metaheuristic approach for the planar multiple obnoxious facility location problem

International Transactions in Operational Research, EarlyView.
Abstract The multiple obnoxious facility location problem is one of the most studied problems in the literature of the obnoxious facility location problems family. In this work, we propose an alternative algorithmic approach for this problem, based on an efficient metaheuristic procedure over a discretization of the plane based on Voronoi diagrams ...
Sergio Salazar, Abraham Duarte, J. Manuel Colmenar   +2 more
wiley   +1 more source

Testing for Unspecified Periodicities in Binary Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT Given random variables Y1,…,Yn$$ {Y}_1,\dots, {Y}_n $$ with Yi∈{0,1}$$ {Y}_i\in \left\{0,1\right\} $$ we test the hypothesis whether the underlying success probabilities pi$$ {p}_i $$ are constant or whether they are periodic with an unspecified period length of r≥2$$ r\ge 2 $$.
Finn Schmidtke, Mathias Vetter
wiley   +1 more source