Results 81 to 90 of about 5,990,152 (267)
An inverse for the Twin-Prime counting function
, 2020 Newton iteration using the Hardy-Littlewood twin-prime constant provides a close estimate for an inverse to the Twin-Prime counter.
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A heuristic formula for the prime counting function
, 2022 Using heuristic methods we create a simple but exact formula for the prime counting function. Then we make an asymptotic approximation of this new formula for the prime counting function using two distributions \(H(z)\) and \(h(z)\), which are defined in the paper, that act in a similar manner to the Dirac distribution though they are not the same. By
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A remark on an inequality for the prime counting function [PDF]
Mathematical Inequalities & Applications, 2007 We note that the inequalities $0.92 \frac{x}{\log(x)}
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Molecular Oncology, EarlyView.In head and neck squamous cell carcinoma (HNSCC) p53 and p63 exert opposite roles on the transcription regulation of the lncRNA NEAT1. Under basal conditions, p53 levels are low and p63 represses NEAT1 expression. Upon genotoxic stress, p53 is rapidly induced, displacing p63 from the NEAT1 promoter leading to NEAT1 transcriptional activation and ...
Sara De Domenico +5 more
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Molecular Oncology, EarlyView.Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu +9 more
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On the Smarandache prime part [PDF]
, 2007 For any positive integer n, the Smarandache Superior Prime Part Pp(n) is the smallest prime number greater than or equal to n; For any positive integer n ¸ 2, the Smarandache Inferior Prime Part pp(n) is the largest prime number less than or equal to ...
Yan, Xiaoxia
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A circular RNA hsa_circ_0079929 inhibits tumor growth in hepatocellular carcinoma
Cancer Management and Research, 2019 Huifei Zheng,1,* Tengfei Chen,2,* Chang Li,2 Chun Xu,2 Cheng Ding,2 Jun Chen,2 Sheng Ju,2 Zhiwei Zhang,2 Zhipan Liang,2 Zihan Cui,2 Jun Zhao2 1National Center for Liver Cancer, Eastern Hepatobiliary Surgery Hospital, Second Military Medical University ...
Zheng H +10 more
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Molecular Oncology, EarlyView.Circulating microRNA profiles distinguish nonmalignant Lynch syndrome from cancer‐associated Lynch syndrome, sporadic colorectal cancer, and healthy controls. Age‐stratified analysis reveals disease‐specific regulatory states, and a six‐miRNA panel shows concordant separation in an independent colorectal tissue cohort.
Ramadhani Salum Chambuso +5 more
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Ω-results for Beurling's zeta function and lower bounds for the generalised Dirichlet divisor problem [PDF]
, 2010 In this paper we study generalised prime systems for which the integer counting function NP(x) is asymptotically well behaved, in the sense that NP(x)=ρx+O(xβ), where ρ is a positive constant and .
Hilberdink, Titus W.
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Cancer Management and Research, 2018 Xinxin Wang,1 Diangang Chen,1 Jianbao Gao,1 Haixia Long,1 Haoran Zha,2 Anmei Zhang,1 Chi Shu,1 Li Zhou,1 Fei Yang,1 Bo Zhu,1 Wei Wu3 1Institute of Cancer, Xinqiao Hospital, Army Medical University, Chongqing, China; 2Department of Oncology, The General ...
Wang X +10 more
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