Results 41 to 50 of about 2,286 (90)
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
On the graceful polynomials of a graph [PDF]
Every graph can be associated with a family of homogeneous polynomials, one for every degree, having as many variables as the number of vertices. These polynomials are related to graceful labellings: a graceful polynomial with all even coefficients is a
Andrea Vietri
core
Short‐Range Order and LixTM4−x Probability Maps for Disordered Rocksalt Cathodes
Monte Carlo mapping with a simplified cluster description framework discloses the origin of Li4${\rm Li}_4$ deficiency and unfavorable short‐range order prevalent in most DRX materials. Statistical mechanical sampling indicates that ordering quantities in the disordered state do not necessarily represent a simple attenuation of their low‐temperature ...
Tzu‐chen Liu +2 more
wiley +1 more source
Dynamical Evolution of BIC‐Fano Dual Modes under Misalignment of Two Waveguide‐Coupled Gratings
Previous studies have paid much attention to bound states in the continuum (BIC), but overlooked its pairing terms: the resonance state. This work has found that as a partner, BIC and resonance state can undergo unique interaction, coexistence, and conversion.
Yun‐tuan Fang +3 more
wiley +1 more source
Some New Results on Strong Integer Additive Set-Indexers of Graphs
Let $\mathbb{N}_0$ be the set of all non-negative integers. An integer additive set-indexer of a graph $G$ is an injective function $f:V(G)\to 2^{\mathbb{N}_0}$ such that the induced function $g_f:E(G) \rightarrow 2^{\mathbb{N}_0}$ defined by $f^+(uv ...
Germina, K. A., Sudev, N. K.
core +2 more sources
Expanded porphyrins, with their flexible structures and rich redox chemistry, offer a powerful platform to explore how aromaticity shapes molecular properties. This review introduces a multidimensional framework to quantify Hückel and Möbius aromaticity and examines its impact on the spectroscopic behavior across redox‐ and topology‐controlled expanded
Freija De Vleeschouwer +2 more
wiley +1 more source
PELABELAN GRACEFUL GANJIL PADA GRAF DUPLIKASI DAN SPLIT BINTANG [PDF]
Graph is not an empty a finite of the objects that called point (vertex) with the couple was not that is the side (edge). The set point denoted by , while the set edge denoted by . Odd graceful labeling on graph with side is a function injective from
Bantara, J A +2 more
core +1 more source

