Results 61 to 70 of about 19,998 (234)
Central binomial coefficients divisible by or coprime to their indices [PDF]
Let [Formula: see text] be the set of all positive integers [Formula: see text] such that [Formula: see text] divides the central binomial coefficient [Formula: see text]. Pomerance proved that the upper density of [Formula: see text] is at most [Formula: see text]. We improve this bound to [Formula: see text].
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Robotic‐assisted rectal resection in Japan increased markedly after national insurance reimbursement in 2018, with a concurrent decline in open surgery. Using NDB Open Data, we found substantial inter‐prefectural heterogeneity in surgical volume and robotic utilization that persisted after age and sex standardization (SCR). Urban–rural differences were
Ryo Ohta +9 more
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ABSTRACT Objective Non‐operative management with antibiotics has emerged as an alternative to appendectomy for uncomplicated appendicitis. This study compared one‐year healthcare costs and utilization outcomes after operative versus non‐operative management of uncomplicated appendicitis using statewide administrative data.
Andrew C. Meltzer +5 more
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This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Climate change intensifies extreme weather, which in turn influences infectious disease transmission. As a dengue fever (DF) hotspot, Guangzhou lacks research on how extreme weather characteristics and spatial factors interact to shape DF patterns.
Xinqiu Ouyang +4 more
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Mixed Parity Variants of Apéry-Type Binomial Series and Level Four Colored Multiple Zeta Values
In this paper, we study an Apéry-type series involving the central binomial coefficients ∑n1>…>nd>014n12n1n1n1−s1…nd−sd and its variations where the summation indices may have mixed parities and some or all “>” are replaced by “≥”, as long as the series ...
Ce Xu, Jianqiang Zhao
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On Some Series Involving the Central Binomial Coefficients
15 ...
Adegoke, K., Frontczak, R., Goy, T.
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On a conjecture of Graham on the p$p$‐divisibility of central binomial coefficients
AbstractLet be pairwise distinct primes. From a theorem of Kummer, each prime can divide at most times. We show that, for all , if are sufficiently large in terms of and , then there exist infinitely many positive integers such that each divides at most times.
Mousavi, Seyyed Hamed +2 more
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High‐elevation endemic plants predicted to lose habitat from changing climate in Washington State
Abstract Premise High‐elevation plants face unique challenges from potential climate change impacts that will likely require upslope migration into increasingly smaller suitable habitat. This situation is particularly acute for endemic species that by definition occupy small geographic ranges.
Nicholas L. Gjording +4 more
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SDPR–STK38 axis controls the proliferation–differentiation balance in alveolar type II cells
The present study identifies SDPR as a pivotal regulator orchestrating the balance between proliferation and differentiation in alveolar type II (AT2) cells. In SDPR+/+ cells, SDPR binds to and inhibits STK38 activity, thereby sustaining GSK‐3β signaling functionality to promote cyclin D1 degradation and maintain cell cycle homeostasis.
Jie Wang +6 more
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