Results 71 to 80 of about 41,624 (236)
Some problems of Erdős on the sum-of-divisors function
, 2016 Let σ(n) denote the sum of all of the positive divisors of n, and let s(n) = σ(n) − n denote the sum of the proper divisors of n. The functions σ(·) and s(·) were favorite subjects of investigation by the late Paul Erdős.
P. Pollack, C. Pomerance
semanticscholar +1 more source
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
The maximal size of a minimal generating set
Forum of Mathematics, Sigma, 2023 A generating set for a finite group G is minimal if no proper subset generates G, and $m(G)$ denotes the maximal size of a minimal generating set for G. We prove a conjecture of Lucchini, Moscatiello and Spiga by showing that there exist $a,b>
Scott Harper
doaj +1 more source
Converting an Integer to a Decimal String in Under Two Nanoseconds
Software: Practice and Experience, EarlyView.ABSTRACT Objective Converting binary integers to variable‐length decimal strings is a fundamental operation in computing. Conventional fast approaches rely on recursive division and small lookup tables. The goal of this work is to develop a significantly faster method for this task.
Jaël Champagne Gareau, Daniel Lemire
wiley +1 more source
Mathematics, 2023 The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali +5 more
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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 +1 more
wiley +1 more source
Mathematics, 2021 Diophantine equations ∏i=1nxi=F∑i=1nxi with xi,F∈ℤ+ associate the products and sums of n natural numbers. Only special cases have been studied so far. Here, we provide new parametric solutions depending on F and the divisors of F or F2.
Petr Karlovsky
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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 +4 more
wiley +1 more source
Plane Partitions and a Problem of Josephus
Mathematics, 2023 The Josephus Problem is a mathematical counting-out problem with a grim description: given a group of n persons arranged in a circle under the edict that every kth person will be executed going around the circle until only one remains, find the position ...
Mircea Merca
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Note on the number of divisors of reducible quadratic polynomials
, 2018 In a recent paper, Lapkova uses a Tauberian theorem to derive the asymptotic formula for the divisor sum $\sum_{n \leq x} d( n (n+v))$ where $v$ is a fixed integer and $d(n)$ denotes the number of divisors of $n$.
Dudek, Adrian W. +2 more
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