Results 81 to 90 of about 1,964 (241)

Chromatic roots are dense in the whole complex plane [PDF]

open access: yes, 2004
I show that the zeros of the chromatic polynomials P-G(q) for the generalized theta graphs Theta((s.p)) are taken together, dense in the whole complex plane with the possible exception of the disc \q - l\ < l.
Sokal, AD
core  

On the $D_{\omega}$-classical orthogonal polynomials

open access: yes, 2023
We wish to investigate the $D_{\omega}$-classical orthogonal polynomials, where $D_{\omega}$ is a special case of the Hahn operator. For this purpose, we consider the problem of finding all sequences of orthogonal polynomials such that their $D_{\omega}$-
Douak, Khalfa
core  

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

open access: yesAdvanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong   +7 more
wiley   +1 more source

Goncarov Polynomials, Partition Lattices and Parking Sequences [PDF]

open access: yes, 2020
Classical Goncarov polynomials arose in numerical analysis as a basis for the solutions of the Goncarov interpolation problem. These polynomials provide a natural algebraic tool in the enumerative theory of parking functions.
Adeniran, Ayomikun Chukwuemeka
core  

Longitudinal Morphomolecular Monitoring of Head and Neck Carcinogenesis

open access: yesAdvanced Science, EarlyView.
A miniaturized endoscopic probe that integrates Raman spectroscopy and optical coherence tomography, enabling simultaneous molecular and structural imaging of living tissue, was developed. Applied longitudinally in a mouse model of head and neck cancer, the system tracks disease progression from precancerous lesions to invasive cancer.
Jianrong Qiu   +7 more
wiley   +1 more source

A note on Appell sequences, Mellin transforms and Fourier series [PDF]

open access: yes, 2019
A large class of Appell polynomial sequences {p n (x)} n=0 8 are special values at the negative integers of an entire function F(s, x), given by the Mellin transform of the generating function for the sequence.
Ruiz, Francisco J.   +12 more
core   +1 more source

Nanoscale Confinement Enhances Ultrafast Demagnetization

open access: yesAdvanced Science, EarlyView.
Next generation spintronics may depend on successfully combining femtosecond spin dynamics with nanoscale device miniaturization. We address this by systematically studying the effect of nanoscale confinement on the femtosecond demagnetization of Iron. By combining ultrafast experiments sensitive to spins, charge carriers, and phonons, we uncover a nm ...
Yoav William Windsor   +23 more
wiley   +1 more source

Inverse Design of Pre‐Strain via a Predictive Electromechanical Model for Enhanced Strain Sensing

open access: yesAdvanced Science, EarlyView.
An analytical electromechanical model rooted in microcrack evolution mechanics is globally calibrated from only eight pre‐strain datasets, enabling prediction of the complete sensing response at untested pre‐strain values within the calibrated design space (R2 > 0.99).
Jia‐Chen Shang   +10 more
wiley   +1 more source

Horadam-Lagrange Interpolation Polynomials: Construction, Recurrence Relations, and Connections to Special Number Sequences

open access: yesElectronic Journal of Applied Mathematics
This study investigates the construction of polynomials of at most degree \(n\) using the first \(n+1\) terms of the Horadam sequence through Lagrange interpolation. The paper provides a comprehensive analysis of the recurrence relations and fundamental identities associated with the Horadam-Lagrange Interpolation Polynomials.
openaire   +2 more sources

Canonical Antibodies Adopt Distinct Binding Modes to Recognize Viral Glycan Shields

open access: yesAdvanced Science, EarlyView.
Canonical Y‐shaped antibodies recognize viral glycan shields through adaptive Fab assembly states shaped by glycan organization and somatic hypermutation. Structural analyses ofbroadly neutralizing antibodies VRC35 and VRC36 across glycoproteins of HIV‐1, influenza, SARS‐CoV‐2, and Lassa viruses reveal distinct Fab assembly states, spanning monovalent,
Jiaxuan Cheng   +71 more
wiley   +1 more source

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