Results 41 to 50 of about 985 (214)
On Necessary Conditions for the Existence of Odd Perfect Numbers
Rocky Mountain Journal of Mathematics, 1999 It is an open question, whether there exists an odd perfect number. L. Euler has shown, that such numbers must be of the form \(4m+1\). The author proves, that \[ (4m+1)^2+ \sum_{k=1}^{2m} \sigma(8m+3-2k) \sigma(2k-1) \] must be even and that \[ \#\{k\in \mathbb N: k\leq 2n,\;8m+3-2k \text{ is a square and \(2k-1\) is square}\} \] must be odd.
openaire +3 more sources
Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art
Advanced Intelligent Discovery, EarlyView.Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser +6 more
wiley +1 more source
MolMiner: Toward Controllable, Three‐Dimensional‐Aware, Fragment‐Based Molecular Design
Advanced Intelligent Discovery, EarlyView.MolMiner is a fragment‐based, geometry‐aware, and order‐agnostic generative model for molecular design with strong inductive biases. Using symmetry‐aware fragment assembly, dynamic three‐dimensional geometry, and multi‐property conditioning, MolMiner enables interpretable and controllable molecular generation.
Raul Ortega‐Ochoa +2 more
wiley +1 more source
Playing in the Dark: Invisible Chess as a Laboratory for Strategic AI
AI &Innovation, EarlyView.This paper shows that strategic AI evaluated on perfect‐information benchmarks can be brittle in real adversarial settings. By using invisible chess as a benchmark for hidden state and deception, it argues for stricter testing, human oversight, and more cautious governance of high‐stakes AI systems.
Paolo Ciancarini
wiley +1 more source
Sufficient Conditions for the Existence of Perfect Heterochromatic Matchings in Colored Graphs [PDF]
, 2007 This paper has been ...
Lin Hu, Xueliang Li 0001
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American Journal of Agricultural Economics, EarlyView.Abstract Germany's Renewable Energy Sources Act (REA), enacted in 2000 and subsequently amended, subsidized national renewable energy production with fixed feed‐in tariffs for renewable energy sources (RE) from wind, solar, and biogas. Empirical studies suggest that the policy was creating windfall effects for landowners and attribute farmland use ...
Lars Isenhardt +6 more
wiley +1 more source
American Journal of Agricultural Economics, EarlyView.Abstract Crop insurance is undoubtedly an extremely valuable element in protecting agricultural businesses, but in many cases standard indemnity‐based products have had very low uptake due to high transaction costs elevating premiums to unaffordable levels.
Amogh Prakasha Kumar +2 more
wiley +1 more source
The Anatomical Record, EarlyView.Abstract The vertebrate skull is composed of bones derived from neural crest cells and mesoderm. The evolutionary capacity of the skull has been linked, in part, to the emergence of neural crest cells; however, this increased capacity for evolutionary change requires that variation within neural crest‐ and mesoderm‐derived bones remains partly ...
Alyssa C. Moore +5 more
wiley +1 more source
Conditional perfection: the truth and the whole truth
Semantics and Linguistic Theory, 2016 Conditional Perfection is argued to arise when a sentence is silently conjoined with an exhaustivized version of the same string. The proposed account, the 'whole truth theory', is argued to not only capture Conditional Perfection but to also extend to upper-bounding inferences and exhaustive answers.
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The Role of miRNAs in Chicken Immune Regulation and Prospects for Disease‐Resistant Breeding
Animal Research and One Health, EarlyView.A schematic workflow illustrating the screening of disease‐resistant miRNAs and the generation of miRNA‐based disease‐resistant chickens via PGC‐mediated germline genome editing. ABSTRACT MicroRNAs (miRNAs) are emerging as pivotal regulators of the immune system, playing a decisive role in shaping disease resistance in chicken.
Qiangzhou Wang +10 more
wiley +1 more source