Results 171 to 180 of about 361,091 (296)

Rook decomposition of the partition function

open access: yes
The rook numbers are fairly well-studied in the literature. In this paper, we study the max-rook number of the Ferrers boards associated with integer partitions. We show its connections with the Durfee triangle of the partitions.
Sharan, N. Guru
core  

From Planar to 3D Nanophotonic Lenses: Advancing Design, Fabrication, and Applications

open access: yesLaser &Photonics Reviews, EarlyView.
Three‐dimensional nanophotonic lenses are enabled by an integrated workflow that links design parameterization, full‐wave electromagnetic simulation, computational optimization, and freeform fabrication. This Review summarizes how these tools expand optical design freedom beyond a single patterned plane by enriching the local meta‐atom response and ...
Wei Zhu   +2 more
wiley   +1 more source

Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley   +1 more source

Engineering Photonic Pigments From Titania–Block Copolymer Composites

open access: yesMacromolecular Rapid Communications, EarlyView.
Ligand‐functionalized TiO2 nanoparticles selectively partition into P2VP‐rich lamellae of onion‐like PS‐b‐P2VP microspheres, increasing refractive index contrast while preserving concentric order through controlled self‐assembly. The resulting dry photonic pigments display defined Bragg reflections and angle‐robust structural color.
Niklas Rocca Schwarz   +5 more
wiley   +1 more source

Multiscale modelling of birth-death processes. [PDF]

open access: yesJ Math Biol
Kimpson T   +3 more
europepmc   +1 more source

IGA‐POLLM: An Improved Genetic Algorithm for Prompt Optimization in Materials Literature Information Extraction

open access: yesMaterials Genome Engineering Advances, EarlyView.
An improved genetic algorithm is developed to automatically optimize prompts for materials literature information extraction. For corrosion‑inhibitor papers, IGA‑POLLM framework achieves an F1 score of 0.857, outperforming expert‐crafted prompts and randomly sampled prompts.
Hengju Xiang   +9 more
wiley   +1 more source

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