Results 61 to 70 of about 178,978 (284)
MathematicsLet q1+⋯+qn+m objects be arranged in n rows with q1,…,qn objects and one last row with m objects. The Janjić–Petković counting function denotes the number of (n+k)-insets, defined as subsets containing n+k objects such that at least one object is chosen ...
Marcus Kollar
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Advanced Science, EarlyView.IGF‐1 deficiency underlies poor ovarian response (POR), as reduced levels in follicular fluid and granulosa cells impair antral follicle formation and compromise reproductive outcomes. Including IGF‐1 as a biomarker significantly enhances the accuracy of models predicting both PORrisk and pregnancy success.
Zhu Hu +9 more
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SpatialESD: Spatial Ensemble Domain Detection in Spatial Transcriptomics
Advanced Science, EarlyView.ABSTRACT Spatial transcriptomics (ST) measures gene expression while preserving spatial context within tissues. One of the key tasks in ST analysis is spatial domain detection, which remains challenging due to the complex structure of ST data and the varying performance of individual clustering methods. To address this, we propose SpatialESD, a Spatial
Hongyan Cao +11 more
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Polynomial sequences of binomial-type arising in graph theory [PDF]
, 2012 In this paper, we show that the solution to a large class of "tiling" problems is given by a polynomial sequence of binomial type. More specifically, we show that the number of ways to place a fixed set of polyominos on an $n\times n$ toroidal chessboard
Schneider, Jon
core
Advanced Science, EarlyView.ABSTRACT The intricate interplay between chronic psychological stress and periodontitis, mediated by oral microbiota and macrophage polarization, remains largely enigmatic. Here, we demonstrate that chronic restraint stress (CRS) exacerbates periodontitis by inducing oral microbial dysbiosis and a consequential shift in host metabolism.
Shihong Luo +13 more
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Advanced Science, EarlyView.Zhang et al. identify M7core, a critical cGAS‐STING pathway‐driven gene signature that is activated in most lupus patients’ blood and links to lupus disease severity, lymphopenia, and lupus nephritis. They further reveal the diagnostic and pathogenic characteristics of M7core and emphasize the importance of assessing pathway activity before initiating ...
Lele Zhang +13 more
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Advanced Science, EarlyView.A semiconductor‐fabricated nanowell biosensor enables rapid, scalable, and highly reproducible detection of SARS‐CoV‐2 antigens from nasal swabs within ∼10 minutes. Clinical validation in 249 retrospective and 243 prospective patient samples demonstrates high sensitivity and specificity, minimal cross‐reactivity, and robust batch‐to‐batch ...
Yoo Min Park +11 more
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On a new congruence in the Catalan triangle [PDF]
Notes on Number Theory and Discrete MathematicsFor 0≤k≤n, the number C(n,k) represents the number of all lattice paths in the plane from the point (0,0) to the point (n,k), using steps (1,0) and (0,1), that never rise above the main diagonal y = x.
Jovan Mikić
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Relationship Between Knowledge and Compliance With Safety Measures: Evidence From COVID‐19
Applied Economic Perspectives and Policy, EarlyView.ABSTRACT Compliance with health safety protocols is important for protecting public health, particularly in agricultural sectors where disease outbreaks can disrupt production and market access. Despite its economic significance, we know little about what drives protocol compliance.
Nilufer Cetik +2 more
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Multiple Sums of Circular Binomial Products
MathematicsFive classes of multiple sums about circular products of binomial coefficients are investigated. Their generating functions are explicitly expressed as rational functions, with coefficients being Fibonacci and Lucas numbers.
Marta Na Chen, Wenchang Chu
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