Hexagon
No mentions found
This entity hasn't been tracked yet, or Iris is still building its knowledge base.
Related Articles from SNS
A Kernel-Clean Lean Mechanization of Classical Lottery in Action and the Wakker--Debreu--Koopmans Representation Layer
Announce Type: new Abstract: We present a Lean 4/Mathlib formalization of the additive representation theory behind Classical Lottery in Action and the Wakker-Debreu-Koopmans (WDK) layer it relies on. Our central result is a machine-checked proof that the cross-pair Thomsen / double-cancellation (hexagon) condition is irreducible from the ordinal axioms of additive conjoint measurement (weak order, restricted solvability, Archimedean condition, and tradeoff consistency). We exhibit an...
GridPE: A Grid Cell-Inspired Unified Position Embedding for Arbitrary-Dimensional Spaces
arXiv:2406.07049v3 Announce Type: replace Abstract: Understanding spatial relationships across all dimensions is fundamental for intelligent systems. However, existing positional embeddings, such as Rotary Positional Embedding (RoPE), lack theoretical guarantees for high-dimensional spatiotemporal tasks like video understanding and robotic navigation. Inspired by the hexagonal periodic coding of grid cells in mammalian spatial cognition, we propose GridPE -- a novel positional embedding...
In-situ Silicon Doped hBN by High-Temperature Molecular Beam Epitaxy Enables Single Photon Emission
arXiv:2606.01727v1 Announce Type: new Abstract: Hexagonal boron nitride (hBN) has emerged as a leading host for optically active quantum defects. Yet introduction of specific impurity species other than carbon remains unexplored. Here, we demonstrate an in-situ silicon doping of hBN grown by high-temperature molecular beam epitaxy (HT-MBE).
Implementation and Optimization of HQC Decoding on NPU-Integrated Devices
arXiv:2606.01968v1 Announce Type: new Abstract: Hamming Quasi-Cyclic (HQC) has been selected by NIST for standardization as an additional code-based key-encapsulation mechanism, providing algorithmic diversity alongside lattice-based post-quantum cryptography. Efficient deployment of HQC on mobile and embedded platforms, however, requires careful optimization of its decoding procedure, whose Reed-Muller and Reed-Solomon components dominate the computational cost.
'Flawless on the outside, flipped within': Detecting hidden defects in 2D dielectrics with light
'Flawless on the outside, flipped within': Detecting hidden defects in 2D dielectrics with light Gaby Clark Scientific Editor Alexander Pol Deputy Editor A material may appear flawless on the surface yet fail to function properly. The cause lies in structural defects hidden within two-dimensional thin films, which are considered key materials for next-generation semiconductor devices.
Extraordinary fossils solve a 500-million-year mystery: Bryozoans were there at the dawn of animal life
Extraordinary fossils solve a 500-million-year mystery: Bryozoans were there at the dawn of animal life Stephanie Baum Scientific Editor Robert Egan Associate Editor Bryozoans are tiny, filter-feeding colonial invertebrates that thrive in the world's oceans today, yet for decades their origins presented a puzzling gap in the fossil record. While nearly every other major animal group made its first appearance during the Cambrian explosion roughly 530 million years ago, the bryozoan fossil...
Orbital Angular Momentum Locking via Bound States in the Continuum
Announce Type: new Abstract: Optical vortices are electromagnetic fields twisting around a phase singularity, resulting in quantized orbital angular momentum (OAM). When such vortices are formed by evanescent hybrid light-matter quasiparticles known as polaritons, they are referred to as polaritonic vortices (PVs). The nanometer-scale topologically robust features of such PVs promise to enable applications for lasing and thermal emission at deeply subwavelength scales.
ASUS's ExpertBook B5 Flip G2 is a 2.9 pound 360 touchscreen laptop
ASUS's ExpertBook B5 Flip G2 is a 2.9 pound 360 touchscreen laptop The company also revealed the Zenbook 14 with three different processor options. Along with the upcoming ProArt P-series laptops that will run NVIDIA's new RTX Spark processor, ASUS has unveiled several other Windows laptops at Computex. Those include a new ExpertBook convertible model and Expertbook business laptop, along with three new Zenbook 14 models running Intel, AMD and Qualcomm Snapdragon processors.
Detection at the nanoscale: A phosphate-detecting electrochemical sensor
Detection at the nanoscale: A phosphate-detecting electrochemical sensor Sadie Harley Scientific Editor Andrew Zinin Lead Editor Graphene, the "wonder material," has shaped much of Suprem Das's research career. From nano-manufacturing to advanced printing for applications such as sensing and energy, Das is committed to finding graphene solutions with real-world impact. Das and his team manufacture graphene in the form of printable ink for various applications.