Results 151 to 160 of about 48,454 (295)
A new proof of the log-concavity property of the wave function for a potential with Laplacian of a given sign [PDF]
André Martin
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Bright‐field images of unstained smears. (1) Sparse erythrocytes allow straightforward intensity‐ or phase‐based segmentation. (2) Overlapping cells blur boundaries, causing over‐ or under‐segmentation and lowering rule‐based accuracy, thus motivating overlap‐aware algorithms for reliable downstream feature extraction and classification. ABSTRACT Blood
Husnu Baris Baydargil, Thomas Bocklitz
wiley +1 more source
Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs
In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, R-vertex join, and R-edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs.
Arpita Das, Pratima Panigrahi
doaj
A hybrid computer method for two dimensional calculations involving the Laplacian operator
Richard Lee Jaworski
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Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals [PDF]
Jun Kigami, Michel L. Lapidus
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A Nordhaus–Gaddum Problem for the Spectral Gap of a Graph
ABSTRACT Let G $G$ be a graph on n $n$ vertices, with complement G¯ $\bar{G}$. The spectral gap of the transition probability matrix of a random walk on G $G$ is used to estimate how fast the random walk becomes stationary. We prove that the larger spectral gap of G $G$ and G¯ $\bar{G}$ is Ω(1∕n) ${\rm{\Omega }}(1\unicode{x02215}n)$.
Sooyeong Kim, Neal Madras
wiley +1 more source
On grobal hypoellipticity of horizontal Laplacians on compact principal bundles [PDF]
Hideki Omori
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The role of artificial intelligence in pharmacy: Revolutionizing drug development and beyond
This comprehensive review explores the integration of artificial intelligence (AI) in the field of pharmacy, covering advancements in drug discovery, personalized medicine, medication management, and patient care. It synthesizes current research, methodologies, and future prospects, offering insights into how AI technologies are reshaping ...
Usman Shettima Usman+8 more
wiley +1 more source
On the consecutive eigenvalues of the Laplacian of a compact minimal submanifold in a sphere [PDF]
Pui-Fai Leung
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This study developed a two‐stage model using radiomics‐based multiparametric MRI and clinical indicators to help identify and grade clinically significant prostate cancer. The model showed promising levels of diagnostic accuracy and predictive performance.
Yuyan Zou+10 more
wiley +1 more source