Results 71 to 80 of about 53,918 (234)

Rural–Urban Digital Divide: Evidence From Indian States

open access: yesInternational Journal of Finance &Economics, EarlyView.
ABSTRACT The Indian economy has achieved significant progress in recent years, with the country expected to contribute about 16% of the global growth. However, at the sub‐national level, economic development has been quite disparate over the decades, with widening inequality between the richer western and southern states and other parts of the country.
Rashmi Arora, Nikhil Sapre
wiley   +1 more source

On weighted means and their inequalities

open access: yesJournal of Inequalities and Applications, 2021
In (Pal et al. in Linear Multilinear Algebra 64(12):2463–2473, 2016), Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions.
Mustapha Raïssouli, Shigeru Furuichi
doaj   +1 more source

Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$

open access: yesMathematische Nachrichten, EarlyView.
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley   +1 more source

Sharp bounds for Gauss Lemniscate functions and Lemniscatic means

open access: yesAIMS Mathematics, 2021
For $ a, b > 0 $ with $ a\neq b $, the Gauss lemniscate mean $ \mathcal{LM}(a, b) $ is defined by $ \begin{equation*} \mathcal{LM}(a,b) = \left\{\begin{array}{lll} \frac{\sqrt{a^2-b^2}}{\left[{ {\rm{arcsl}}}\left(\sqrt[4]{1-b^2/a^2}\right)\right]^2}
Wei-Mao Qian, Miao-Kun Wang
doaj   +1 more source

Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$

open access: yesMathematische Nachrichten, EarlyView.
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre   +2 more
wiley   +1 more source

Exact Real Arithmetic with Perturbation Analysis and Proof of Correctness [PDF]

open access: yes, 2015
In this article, we consider a simple representation for real numbers and propose top-down procedures to approximate various algebraic and transcendental operations with arbitrary precision.
Groote, Jan Friso, Keshishzadeh, Sarmen
core   +2 more sources

Complexity of short Presburger arithmetic

open access: yes, 2017
We study complexity of short sentences in Presburger arithmetic (Short-PA). Here by "short" we mean sentences with a bounded number of variables, quantifiers, inequalities and Boolean operations; the input consists only of the integers involved in the ...
Barvinok A.   +7 more
core   +1 more source

On the Mean‐Field Limit of Consensus‐Based Methods

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley   +1 more source

Explicit solutions of the invariance equation for means

open access: yes, 2015
Extending the notion of projective means we first generalize an invariance identity related to the Carlson log given in a recent paper of P. Kahlig and J.
Matkowski, Janusz   +2 more
core   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos   +1 more
wiley   +1 more source

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