Results 21 to 30 of about 5,633,210 (244)
Padé approximant related to the Wallis formula
Journal of Inequalities and Applications, 2017 Based on the Padé approximation method, in this paper we determine the coefficients a j $a_{j}$ and b j $b_{j}$ such that π = ( ( 2 n ) ! ! ( 2 n − 1 ) ! ! ) 2 { n k + a 1 n k − 1 + ⋯ + a k n k + 1 + b 1 n k + ⋯ + b k + 1 + O ( 1 n 2 k + 3 ) } , n → ∞ , $
Long Lin, Wen-Cheng Ma, Chao-Ping Chen
doaj +1 more source
ON THE INEQUALITIES FOR THE VOLUME OF THE UNIT BALL Ω_n IN R^n
Проблемы анализа, 2015 The inequalities about the volume of the unit ball Ω_n in R^n were studies by several authors, especially Horst Alzer has a great contribution to this topic. Thereafter many authors produced numerous papers on this topic.
Barkat Ali Bhayo
doaj +1 more source
Inequalities between some arithmetic functions, II [PDF]
Notes on Number Theory and Discrete MathematicsAs a continuation of Part I (see [1]), we offer new inequalities for classical arithmetic functions such as the Euler's totient function, the Dedekind's psi function, the sum of the positive divisors function, the number of divisors function, extended ...
Krassimir Atanassov +2 more
doaj +1 more source
Photosynthetica, 2022 The aim of this study was to explore how the mitochondrial alternative oxidase (AOX) pathway alleviates photoinhibition in chilled tomato (Solanum lycopersicum) seedlings.
J.J. ZENG +5 more
doaj +1 more source
Some inequalities involving the polygamma functions
Journal of Inequalities and Applications, 2019 Let ψn(x)=(−1)n−1ψ(n)(x) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$, where ψ(n)(x) $\psi ^{(n)}(x)$ are the polygamma functions. We determine necessary and sufficient conditions for the monotonicity and convexity of the function F(x;α,β)=ln(exp(αψ(x+β))ψn(x)
Lichun Liang, Bin Zhao, Aibing Li
doaj +1 more source
Molecular Oncology, EarlyView.Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
wiley +1 more source
Extreme values of the Dedekind $\Psi$ function
, 2011 5 pages, to appear in Journal of Combinatorics and Number theoryInternational audienceLet $\Psi(n):=n\prod_{p \vert n}(1+\frac{1}{p})$ denote the Dedekind $\Psi$ function.
Solé, Patrick, Planat, Michel, R. P.
core +3 more sources
eLife, 2014 Oxygenic photosynthesis supports virtually all life forms on earth. Light energy is converted by two photosystems—photosystem I (PSI) and photosystem II (PSII).
Yuval Mazor +3 more
doaj +1 more source
Molecular Oncology, EarlyView.Extracellular vesicle (EV) lipidomic profiling of plasma and ascites from patients with high‐grade serous ovarian cancer and of ovarian cancer cell lines reveals enrichment of triglycerides (TGs), diacylglycerols (DGs), phosphatidylcholine (PCs), sphingomyelins (SMs), reflecting tumor metabolic reprogramming.
Shikha Rani +9 more
wiley +1 more source
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
wiley +1 more source