Contemporary Mathematics, Volume 3 Issue 1 (2022), 1-80 < Previous vol / issue Next vol/issue >

This issue is in progress but contains articles that are final and fully citable.

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

by Lu Wanting,Wang Heping

Abstract: We study the approximation of multivariate functions from a separable Hilbert space in the randomized setting with the error measured in the weighted L2 norm. We consider algorithms that use standard ...

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On Simon's Conjecture

by Gitik Rita

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

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

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

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 diversity ...

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The Impact of Media Coverage on Obesity

by Bernard Séverine,Cesar Ténissia, Pietrus Alain

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 phen...

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Explicit Solution for a Family of Hermann Riccati Differential Equations

by Ritelli Daniele

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 partially...

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