Results 141 to 150 of about 3,362 (237)

Function Art: Linking Mathematics, Technology, and Visual Arts

School Science and Mathematics, Volume 126, Issue 3, Page 251-263, June 2026.
ABSTRACT This study investigated students' understanding of mathematical functions and strategies to create artwork using GeoGebra. It was framed by the principles of constructionism and examined how students use functions in creating artworks. We gathered data from students' artworks using the Algebra view and the Construction Protocol in the GeoGebra
Guillermo Bautista Jr, Jemarie Malacapo, Florenda Gallos‐Cronberg, Houssam Kasti, Noah Dana‐Picard, Zsolt Lavicza   +5 more
wiley   +1 more source

Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

, 2007
The purpose of this paper is to introduce a new class of quasi-contractive operators and to show that the most used fixed point iterative methods, that is, the Picard and Mann iterations, are convergent to the unique fixed point. The comparison of these
O. Popescu, Popescu, O.
core  

Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
wiley   +1 more source

Convergence analysis of Suzuki's generalized nonexpansive mappings using the Picard-Abbas iteration process. [PDF]

PLoS One
Nawaz B, Gdawiec K, Ullah K, Noorwali M, Aphane M.   +4 more
europepmc   +1 more source

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory. [PDF]

PLoS One
Monica S, Ramesh Kumar D.
europepmc   +1 more source

Generalized escape criteria for fractals via convex viscosity approximation iterations. [PDF]

PLoS One
Wang S, Ahmad K, Yang Y, Cotîrlă LI, Breaz D.   +4 more
europepmc   +1 more source

Convergence Analysis of the Alternating Anderson-Picard Method for Nonlinear Fixed-point Problems

Anderson Acceleration (AA) has been widely used to solve nonlinear fixed-point problems due to its rapid convergence. This work focuses on a variant of AA in which multiple Picard iterations are performed between each AA step, referred to as the ...
Strohmer, Thomas, Laiu, M. Paul, Feng, Xue   +2 more
core  

Modified iterative double step length model for solving nonlinear systems with application to motion control. [PDF]

Sci Rep
Halilu AS, Mohamed MA, Saleh MA, Ahmed K, Almaymuni AZ, Majumder A, Ibrahim SM, Almutairi B.   +7 more
europepmc   +1 more source

Mitigating security flaws in Baptista's chaotic cryptosystem through superior and alternated logistic map approaches. [PDF]

Sci Rep
Verma DK, Rani M, Dikshit R, Gupta H, Kumar A.   +4 more
europepmc   +1 more source