Results 31 to 40 of about 2,345 (191)
Rook placements and Jordan forms of upper-triangular nilpotent matrices [PDF]
, 2017 The set of n by n upper-triangular nilpotent matrices with entries in a finite field F_q has Jordan canonical forms indexed by partitions lambda of n.
Yip, Martha
core +2 more sources
LLT polynomials, chromatic quasisymmetric functions and graphs with cycles
, 2017 We use a Dyck path model for unit-interval graphs to study the chromatic quasisymmetric functions introduced by Shareshian and Wachs, as well as vertical strip --- in particular, unicellular LLT polynomials.
Alexandersson, Per, Panova, Greta
core +1 more source
Triplet‐Triplet Annihilation Enhances Photochemical Curing Contrast for Vat‐Based 3D Printing
Advanced Functional Materials, EarlyView.Triplet–triplet annihilation photopolymerization (TTAP) resins enhance curing contrast for digital light processing (DLP) 3D printing compared to conventional Type I and II photopolymerizations at matched optical densities. By exploiting a superlinear initiation response, TTAP preserves fine details, allowing reliable fabrication of complex structures ...
Connor J. O'Dea +2 more
wiley +1 more source
Elliptic rook and file numbers [PDF]
, 2016 Utilizing elliptic weights, we construct an elliptic analogue of rook numbers for Ferrers boards. Our elliptic rook numbers generalize Garsia and Remmel's q-rook numbers by two additional independent parameters a and b, and a nome p.
Schlosser, Michael J., Yoo, Meesue
core +1 more source
Advanced Functional Materials, EarlyView.Gold bipyramids can act as efficient plasmonic nanoheaters, but they often reshape during laser heating. This study shows that oxygen nanobubbles drive oxidative etching and that surface ligands control stability. CTAB‐ and citrate‐coated particles blunt and lose optical performance, whereas polystyrene sulfonate preserves shape and heating by ...
Irene López‐Sicilia +7 more
wiley +1 more source
Type B (p, q)-Stirling Numbers via Signed Restricted Growth Functions and Rook Theory
MathematicsStirling numbers are among the most classical objects in enumerative combinatorics, counting set partitions and permutations. In this paper, we study their (p,q)-analogues in type B from a rook-theoretic point of view. We introduce a type B Ferrers board
Hasan Arslan +3 more
doaj +1 more source
Unlocking Photodetection Mode Switching from a Simple Lateral Design
Advanced Functional Materials, EarlyView.A simple lateral 2D perovskite photodetector capable of switching among transient, continuous, and dual transient/continuous photoresponse modes is achieved by integrating photoconductive effects with capacitive coupling from the SiO2/Si substrate. Such light‐programmable photodetection mode switching enables triple‐channel information transmission and
Zijun (June) Yong +10 more
wiley +1 more source
Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application
Advanced Materials, EarlyView.This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong +12 more
wiley +1 more source
Basic hypergeometric summations from rook theory
, 2016 We employ a one-variable extension of q-rook theory to give combinatorial proofs of some basic hypergeometric summations, including the q-Pfaff-Saalsch\"utz summation and a 4phi3 summation by Jain.Comment: 12 ...
Schlosser, Michael J., Yoo, Meesue
core +1 more source
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
wiley +1 more source