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Abstract Left-Definite Theory: A Model Operator Approach, Examples, Fractional Sobolev Spaces, and Interpolation Theory arxiv.org/abs/2408.01514

Quantification and Validation for Degree of Understanding in M2M Semantic Communications arxiv.org/abs/2408.00767 .IT .CL

On the intimate association between even binary palindromic words and the Collatz-Hailstone iterations arxiv.org/abs/2408.00805

On q-series identities with multiple sums related to divisor functions arxiv.org/abs/2408.00807

Brook's type upper bounds for coloring parameters of infinite graphs and Konig's Lemma arxiv.org/abs/2408.00812

A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity arxiv.org/abs/2408.00845

Existence of BV solutions for $2\times2$ hyperbolic balance laws for $L^\infty$ initial data arxiv.org/abs/2408.00849

Construction of solutions for the critical polyharmonic equation with competing potentials arxiv.org/abs/2408.00007

Linear response and resonances in adiabatic time-dependent density functional theory arxiv.org/abs/2408.00009

Factorizations and Power Weighted Rellich and Hardy--Rellich-Type Inequalities arxiv.org/abs/2408.00013

Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 1. 3-D Insulating Boundary arxiv.org/abs/2408.00017

Constructing Multiresolution Analysis via Wavelet Packets on Sobolev Space in Local Fields arxiv.org/abs/2408.00028

Sharp kernel bounds for parabolic operators with first order degeneracy arxiv.org/abs/2408.00031

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