A sharp double inequality for sums of powers revisited by Vito Lampret

“…Namely, it is demonstrated that, for S ( n ) : = ∑ k = 1 n ( k n ) n = ∑ j = 0 n ( 1 − j n ) n $S(n):=\sum _{k=1}^{n}\left (\frac{k}{n}\right )^{n}=\sum _{j=0}^{n} \left (1-\frac{j}{n}\right )^{n}$ , the sequence n ↦ n ( e e − 1 − S ( n ) ) $n\mapsto n\left (\frac{e}{e-1}-S(n)\right )$ is strictly increasing.…”
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Nonspectrality of Certain Self-Affine Measures on ℝ3 by Gui-Bao Gao

“…We will determine the nonspectrality of self-affine measure μB,D corresponding to B=diag[p1,p2,p3]  (p1∈(2ℤ+1)∖{±1}, p2∈2ℤ∖{0}), and D={0,e1,e2,e3} in the space ℝ3 is supported on T(B,D), where e1,  e2, and e3 are the standard basis of unit column vectors in ℝ3, and there exist at most 4 mutually orthogonal exponential functions in L2(μB,D), where the number 4 is the best. …”
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TNF-alpha but not IL-1alpha are Correlated with PGE1-Dependent Protection Against Acute D-Galactosamine-Induced Liver Injury by J Muntané, JL Montero, JM Lozano, A Miranda-Vizuete, M de la Mata, G Miño

“…BACKGROUND: Prostaglandin E1 (PGE1) treatment of humans and rodents during acute hepatic failure ameliorates different parameters of hepatic dysfunction.…”
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Dose-dependent enhancement of in vitro osteogenic activity on strontium-decorated polyetheretherketone by Yongheng Zhang, Lvhua Liu, Mengqi Li, Shufu Wang, Jingjing Fu, Mingyuan Yang, Chunxi Yan, Ying Liu, Yanyan Zheng

“…Better results of MC3T3-E1 pre-osteoblasts adhesion, spreading, and proliferation can be observed in strontium-modified PEEK groups, which demonstrates strontium-modified PEEK samples with the improved MC3T3-E1 pre-osteoblasts compatibility. …”
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Resolution of depression: Antidepressant actions of resolvins by Satoshi Deyama, Katsuyuki Kaneda, Masabumi Minami

“…D-series (RvD1–RvD6) and E-series (RvE1–RvE4) resolvins are endogenous lipid mediators derived from docosahexaenoic and eicosapentaenoic acids, respectively. …”
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The Typology and Corruption Susceptibility in Forestry Sector in Indonesia by Eko Novi Setiawan, Ahmad Maryudi, Gabriel Lele

“…It also identified four forest activities that potentially encourage corruption, i.e. 1) licensing, 2) monitoring, 3) spatial planning, and 4) public procurement.…”
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Spatially heterogeneous invasion of toxic plant mediated by herbivory by Zhilan Feng, Wenzhang Huang, Donald L. DeAngelis

“…Under certain conditions it is shown that, for the spatially homogeneous system all solutions will converge to the equilibrium $E_2$, whereas for the reaction-diffusion model there exist traveling wave solutions connecting $E_1$ and $E_2$.…”
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On the decomposition of xd+aexe+⋯+a1x+a0 by Javier Gomez-Calderon

“…In this paper, we show that xd+ax+b is indecomposable and that if e denotes the largest proper divisor of d, then xd+ad−e−1xd−e−1+⋯+a1x+a0 is either indecomposable or trivially decomposable. …”
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Classes of Planar Graphs with Constant Edge Metric Dimension by Changcheng Wei, Muhammad Salman, Syed Shahzaib, Masood Ur Rehman, Juanyan Fang

“…A vertex x is said to distinguish (resolves) two distinct edges e1 and e2 if the distance between x and e1 is different from the distance between x and e2. …”
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PROLIFERATION AND APOPTOSIS IN RAT MODELS OF ORAL SQUAMOUS CELL CARCINOMA INDUCED BY CAPSAICIN EXTRACT NANOPARTICLE GEL by Pratiwi Nur Widyaningsih, Fitri Aniowati, Cantika Nadrotan Naim, Nova Dwi Anggraeni

“…Result: The proliferative activity in the E1 group had a significant difference compared to the E2 and E3 groups. …”
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PDE4 and Epac1 Synergistically Promote Rectal Carcinoma via the cAMP Pathway by Xiangyu Kong, Ganghao Ai, Dai Wang, Renzhen Chen, Dongbei Guo, Youliang Yao, Kai Wang, Guiye Liang, Fengjie Qi, Wenzhi Liu, Yongxing Zhang

“…Correlations between PDE4 and Epac1, PDE4 and Cx43, PDE4 and cyclin E1, and Epac1 and Cx43 were observed (all P<0.05). …”
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Spinoza’s ‘Infinite Modes’ Reconsidered by Kristin Primus

“…That there cannot be such a bifurcation of divine effects is what I take the ‘infinite mode’ propositions, E1p21–23, to establish; E1p21–23 show that each and every one of the immanent effects of an infinite and eternal God is an infinite and eternal mode. …”
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3-Total Edge Product Cordial Labeling for Stellation of Square Grid Graph by Rizwan Ullah, Gul Rahmat, Muhammad Numan, Kraidi Anoh Yannick, Adnan Aslam

“…An edge labeling δ:EG⟶0,1,…,p−1, where p is an integer, 1≤p≤EG, induces a vertex labeling δ∗:VH⟶0,1,…,p−1 defined by δ∗v=δe1δe2⋅δenmodp, where e1,e2,…,en are edges incident to v. …”
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Evaluation of food digestibility in Nile tilapia fish Oreochromis niloticus given NSP enzymes and organic chromiium by Amelia Oktaviani, Muhammad Agus Suprayudi, Mia Setiawati, Ichsan Achmad Fauzi

“…Lipase, protease, and amylase enzymes in tilapia fed with the E1C1 treatment showed significantly higher results (P<0.05) compared to the control. …”
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Effect of bleaching and repolishing on whiteness change and staining susceptibility of resin-based materials by Sultan Aktuğ Karademir, Samet Atasoy, Beyza Yılmaz

“…Staining susceptibility after bleaching (∆E1) was higher in the in-office and at-home bleaching groups compared to the control group in all tested materials. …”
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Genetic polymorphism of xenobiotic biotransformation genes, TNF-α and IL-4 in obstructive jaundice by A. A. Natalsky, S. V. Tarasenko, A. A. Nikiforov, O. V. Zaytsev, O. D. Peskov

“…Carriage of C allele of СYP2E1 gene is a risk factor of development of biliary diseases. …”
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Serum Glucose-Dependent Insulinotropic Polypeptide (GIP) and Glucagon-Like Peptide-1 (GLP-1) in association with the Risk of Gestational Diabetes: A Prospective Case-Control Study by Maryam Mosavat, Siti Zawiah Omar, Sajad Jamalpour, Peng Chiong Tan

“…Basal GIP was shown to be low in GDM groups compared to NGDM in E1, and in E4 for GDM-diet. GLP-1 was low in GDM groups during pregnancy and afterwards. …”
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Error Bound of Periodic Signals in the Hölder Metric by Tikam Singh, Pravin Mahajan

“…We obtain two theorems to determine the error bound between input periodic signals and processed output signals, whenever signals belong to 𝐻𝜔-space and as a processor we have taken (𝐶,1)(𝐸,1)-mean and generalized an early result of Lal and Yadav in (2001).…”
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Role of Adaptive Immunity in Alcoholic Liver Disease by Emanuele Albano

“…In particular, autoantibodies against cytochrome P4502E1 (CYP2E1) are evident in a subset of ALD patients. …”
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Lipopolysaccharide inhibits osteoblast formation and receptor activator of nuclear factor-κB ligand degradation via autophagy inhibition by Huaizhi Zhang, Jianhua Lin, Xu Chen, Jianhui Dai, Haibin Lin

“…Our results showed that LPS inhibited autophagy (LC3 conversion and autophagosome formation) and enhanced the protein and mRNA expression of RANKL in MC3T3-E1 osteoblast precursor line. Autophagy upregulation with Rapamycin over BECN1 overexpression rescued LPS-inhibited osteoblast formation and -promoted RANKL protein production in MC3T3-E1 cells. …”
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