Results 181 to 190 of about 3,709,601 (369)
Polynomials constant on a hyperplane and CR maps of spheres [PDF]
, 2011 Jiř́í Lebl, Han Peters
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Advanced Science, EarlyView.This research investigates whether modern 3D glass printing can be used to develop advanced photonic crystal fibers suitable for supercontinuum generation. The team designs and fabricates a lead‐borate glass fiber with high nonlinearity, achieving an octave‐spanning spectrum in the mid‐infrared range.
Pawel Wienclaw +10 more
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Using rational logarithmic basis functions to solve singular differential equations
Electronic Journal of Differential Equations, 2016 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
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Marginal Stability of the YB1 Cold‐Shock Domain in Cells Enables Binding of Multiple Nucleic Acids
Advanced Science, EarlyView.This study suggests that the marginal stability of the YB1 Cold‐Shock Domain (CSDex) allows for a balance between multifunctionality and conformational changes under physiological conditions. This balance is driven by the dynamic equilibrium between the unfolded ensemble (UE) and the native ensemble (NE) of CSDex (PDB:6LMR).
Puja Shrestha +4 more
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Heat polynomial analogs for higher order evolution equations
Electronic Journal of Differential Equations, 2001 Polynomial solutions analogous to the heat polynomials are demonstrated for higher order linear homogeneous evolution equations with coefficients depending on the time variable.
G. N. Hile, Alexander Stanoyevitch
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On hyperbolic polynomial with constant coefficients
Rocky Mountain Journal of Mathematics, 1978 openaire +2 more sources
Advanced Science, EarlyView.This study presents a novel in situ laser‐induced breakdown spectroscopy system for monitoring metal vapors produced by the intense laser‐metal interactions in laser powder bed fusion additive manufacturing and laser welding. The insights from this new technique reveal changes in alloy compositions and provide the first in situ validation of multi ...
Anna C. M. Getley +8 more
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Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants [PDF]
Kelong Zhao, Shuhuang Xiang
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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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Advanced Science, EarlyView.A bioorthogonal rhodamine/PEG crosslinking strategy is introduced to engineer dense collagen hydrogels with high mechanical resilience and cytocompatibility. Integration with wet‐spinning enables the fabrication of uniaxially aligned, cell‐laden collagen filaments that activate mechanotransductive signaling and support functional muscle regeneration in
JuYeon Kim +4 more
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