Results 71 to 80 of about 53,918 (234)
Rural–Urban Digital Divide: Evidence From Indian States
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
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)$\mathbb {F}_2(t)$
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
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$
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]
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
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
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
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
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

