On the transcendence of growth constants associated with polynomial recursions [PDF]
Veekesh Kumar
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Reconfigurable Acoustofluidic Microvortices for Selective Microcargo Delivery
This work introduces a frequency‐encoded, reconfigurable acoustofluidic system that overcomes the low throughput and poor selectivity of conventional micro‐delivery methods. By exploiting discrete microbubble resonances to program adaptive microvortex modes, the platform enables real‐time switching and selective guidance of microscale payloads through ...
Lei Wang +6 more
wiley +1 more source
A Statistical Mechanics Model to Decode Tissue Crosstalk During Graft Formation
We introduce a statistical mechanics framework to decode the genomic crosstalk governing plant grafting. By integrating evolutionary game theory with transcriptomics, we reconstruct idopNetworks (informative, dynamic, omnidirectional, and personalized networks) that map scion–rootstock interactions.
Ang Dong +4 more
wiley +1 more source
Polynomials with constant Hessian determinants in dimension three [PDF]
Michiel de Bondt
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Using rational logarithmic basis functions to solve singular differential equations
Numerical methods based on polynomial approximation perform poorly when applied to singular initial value problems (IVPs). Hence, we are motivated to derive and implement numerical methods involving non-polynomial basis functions such as logarithmic ...
John J. Garwood, Samuel N. Jato
doaj
Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants [PDF]
Kelong Zhao, Shuhuang Xiang
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Polynomial constants of motion for Calogero-type systems in three dimensions [PDF]
Claudia Chanu +2 more
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Surface engineering of gate dielectrics with fluorinated self–assembled monolayers significantly improves the performance of organic field–effect transistors. In this study, Al2O3 functionalized with fluorinated phosphonic acids reduces contact resistance and hysteresis while achieving near‐zero threshold voltages, offering an alternative to ...
Shaghayegh Mesforush +9 more
wiley +1 more source
Exponential Function as a Polynomial of Non-Integer and Negative Exponents Newton Binomial Theorem Generalization Fractional Derivative of a Constant [PDF]
Jesús Sánchez, Jesús Sánchez
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Nonzero Constant Wronskians of Polynomials and Laurent Polynomials, and Geometric Consequences
We characterize the polynomials $p_1(t), ... , p_n(t)$ whose Wronskian $W(p_1, ... , p_n)$ is a nonzero constant. Then, we generalize our results to characterize the Laurent polynomials with the same property. Finally, for rational functions we prove an impossibility result for $n=2$, and pose the case $n \geq 3$ as an open question, although we ...
Hermoso, Carlos, Alcázar, Juan Gerardo
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