Contemporary Mathematics, Volume 3 Issue 1 (2022), 1-80

Open Access Article

On the Power of Standard Information for Tractability for L₂- Approximation in the Randomized Setting

by Wanting Lu, Heping Wang

ABSTRACT: We study the approximation of multivariate functions from a separable Hilbert space in the randomized setting with the error measured in the weighted L 2 norm. We consider algorithms that use...

Open Access Article

On Simon's Conjecture

by Rita Gitik

ABSTRACT: We prove Simon's conjecture for 3-manifolds.

Open Access Article

A Mathematical Approach Towards Random Road Profile Generation Based on Chaotic Signals of Chua's Circuit

by Sina Milani, Aidin Momtaz, Sarah Amini, Kasra Amini, Shekoufeh Sadeghi, Ehsan Qoreishi, Sanaz Haddadian

ABSTRACT: In response to application demands in vehicle dynamics and control, traffic engineering, urban planning, and logistics, the generation of an adequate artificial road profile in terms of the...

Open Access Article

The Impact of Media Coverage on Obesity

by Séverine Bernard, Ténissia Cesar, Alain Pietrus

ABSTRACT: In this paper, we develop a deterministic compartmental model for the obesity dynamics. Contrary to other contributions on this subject we explore the impact of the media on the spreading of this...

Open Access Article

Explicit Solution for a Family of Hermann Riccati Differential Equations

by Daniele Ritelli

ABSTRACT: This paper deals with a parametric family of ordinary differential equations originated by an ancient geometric problem posed in 1719 by the Swiss mathematician Jakob Hermann (1678-1733) and...