Results 61 to 70 of about 661 (172)

Exploring the impacts of instructional modality in introductory statistics

Teaching Statistics, Volume 48, Issue 3, Page 172-184, Autumn (Fall) 2026.
Abstract The academic experiences at colleges and universities were significantly disrupted by the coronavirus disease 2019 pandemic with notable impacts on student learning, engagement, and success. We explore its effect on academic performance and student interaction at a mid‐sized public institution in the southeastern United States.
Lindsey Bell, Paul Hill, Keshav Jagannathan, Nicholas Pritchard   +3 more
wiley   +1 more source

“Now we don't have that freedom to not work”: Childhood and parenting in insecurity culture

The British Journal of Sociology, EarlyView.
Allison J. Pugh
wiley   +1 more source

An Improved Attack on the RSA Variant Based on Cubic Pell Equation

Cryptography
In this paper, we present a novel method to solve trivariate polynomial modular equations of the form x(y2+Ay+B)+z≡0 (mod e). Our approach integrates Coppersmith’s method with lattice basis reduction to efficiently solve the former equation.
Mohammed Rahmani, Abderrahmane Nitaj, Abdelhamid Tadmori, Mhammed Ziane   +3 more
doaj   +1 more source

Solving constrained Pell equations [PDF]

Mathematics of Computation, 1998
Consider the system of Diophantine equations x 2 −
openaire   +1 more source

On a Diophantine equation related to the difference of two Pell numbers [PDF]

Contributions to Mathematics, 2021
Abdullah Cagman, Kadirhan Polat
doaj   +1 more source

A New Family of k-Quasi Morgan-Voyce Sequences

Journal of Advanced Engineering and Computation
In this study, we define the kQuasi Morgan-Voyce and k-Quasi MorganVoyce-Lucas sequences, and some terms of these sequences are given. We introduce the closed-form formulas that give the terms of these sequences.
Hakan Akkuş, Engin Özkan
doaj   +1 more source

Pythagorean triangles of equal areas

International Journal of Mathematics and Mathematical Sciences, 1988
The main intent in this paper is to find triples of Rational Pythagorean Triangles (abbr. RPT) having equal areas. A new method of solving a2+ab+b2=c2 is to set a=y−1, b=y+1, y∈N−{0,1} and get Pell's equation c2−3y2=1. To solve a2−ab−b2=c2, we set a=12(y+
Malvina Baica
doaj   +1 more source

Beyond Expansion IV: Traces of Thin Semigroups

Discrete Analysis, 2018
Beyond Expansion IV: Traces of Thin Semigroups, Discrete Analysis 2018:6, 27 pp. This is the fourth in a series of papers by Bourgain and Kontorovich that study the arithmetic properties of groups and semigroups of 2-by-2 integer matrices.
Jean Bourgain, Alex Kontorovich
doaj   +1 more source

Extremal fixed points and Diophantine equations

Journal of High Energy Physics
The coupling constants of fixed points in the ϵ expansion at one loop are known to satisfy a quadratic bound due to Rychkov and Stergiou. We refer to fixed points that saturate this bound as extremal fixed points.
Christopher P. Herzog, Christian B. Jepsen, Hugh Osborn, Yaron Oz   +3 more
doaj   +1 more source

Hyperbolic reflections on pell's equation

Journal of Number Theory, 1989
It was conjectured by \textit{N. C. Ankeny}, \textit{E. Artin} and \textit{S. Chowla} [Ann. Math., II. Ser. 56, 479-493 (1952; Zbl 0049.306)] that the fundamental solution \((x_ 0,y_ 0)\) to the Pellian equation \(x^ 2- py^ 2=-1\) (p a prime congruent to 1 modulo 4) satisfies p \(\nmid y_ 0\). In an attempt to understand the nature of this problem, the
openaire   +1 more source