Abstract Metal halide perovskites have emerged as promising semiconductors for light-emitting diodes (LEDs) owing to their excellent luminescence properties1. However, their performance remains limited, primarily owing to the inherent contradiction between ‘high crystallinity’ and ‘small size’ in the in situ synthesis of perovskite nanocrystals on substrates. Here we report efficient blue perovskite LEDs (PeLEDs) achieved via in situ polymerization-driven nanocrystal confinement to...

Nature 17h ago

Witness-split + window-cardinality refinement for $r_3(N)$: Architecture, empirical results, and a structural hard pocket

arXiv:2606.04016v1 Announce Type: new Abstract: We describe a reproducible computational framework for upper-bound searches on r_3(N), the maximum size of a 3-term-arithmetic-progression-free subset of [1,N]. The framework combines a verified lower-bound witness, endpoint forcing, depth-d witness-variable splitting, OEIS A003002 window-cardinality pruning, and recursive refinement of timed-out subproblems. Applied to the frontier case N = 212, K = 44, it found no feasible 44-set across...

arXiv CS 6d ago

Rapper faces $2.8M lawsuit after axing opening act from tour following her political rant

M.I.A. sued Kid Cudi for $2.8 million nearly one month after she was kicked off the rapper's "Rebel Ragers Tour" for making "offensive remarks" on stage, according to documents obtained by Fox News Digital. M.I.A. — who's full name is Mathangi Maya Arulpragasam — claimed the "Rebel Rangers Tour" promoter, Live Nation, provided a $2.8 million guarantee with her and her company, Neet Touring LLP.The sum was to be paid "regardless of what she said on stage," according to the lawsuit. In May,...

Fox News 7d ago