Results 61 to 70 of about 10,784,145 (367)
On some complete monotonic functions [PDF]
arXiv, 2022 Motivated by open questions in the papers " Refinements and sharpenings of some double inequalities for bounding the gamma function" and "Complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function",we confirm among other results and disprove other one.
arxiv
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Background The dose‐averaged linear energy transfer (LETD) in proton therapy (PT) has in pre‐clinical studies been linked to the relative biological effectiveness (RBE) of protons. Until recently, the most common PT delivery method in prostate cancer has been double‐scattered PT, with LETD only available through dedicated Monte Carlo (MC ...
Rasmus Klitgaard +7 more
wiley +1 more source
COMPLETELY MONOTONIC FUNCTION ASSOCIATED WITH THE GAMMA FUNCTIONS AND PROOF OF WALLIS' INEQUALITY
, 2005 . We prove: (i) A logarithmically completely monotonic function is completely mono-tonic. (ii) For x > 0 and n = 0,1,2,..., then(−1) n ln p xΓ(x)x + 1/4Γ(x + 1/2) ! (n) > 0.(iii) For all natural numbers n, then p 1 π(n + 4/π − 1)≤(2n − 1)!!(2n)!!< p 1π(n
Chao Chen, Feng Qi (祁锋)
semanticscholar +1 more source
SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE GAMMA FUNCTION [PDF]
, 2009 In this article, the logarithmically complete monotonicity of some functions such as 1 for fi 2 R on (i1;1) or (0;1) are obtained, some known results are recovered, extended and generalized.
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar +1 more source
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Due to the tight curvature in their design, ring applicators are usually associated with large positioning errors. The standard practice to correct for these deviations based on global offsets may not be sufficient to comply with the recommended tolerance.
Leon G. Aldrovandi +3 more
wiley +1 more source
Around Operator Monotone Functions [PDF]
Integral Equations and Operator Theory, 2011 We show that the symmetrized product $AB+BA$ of two positive operators $A$ and $B$ is positive if and only if $f(A+B)\leq f(A)+f(B)$ for all non-negative operator monotone functions $f$ on $[0,\infty)$ and deduce an operator inequality. We also give a necessary and sufficient condition for that the composition $f\circ g$ of an operator convex function $
Mohammad Sal Moslehian, Hamed Najafi
openaire +3 more sources
Approximation, characterization, and continuity of multivariate monotonic regression functions [PDF]
arXiv, 2020 We deal with monotonic regression of multivariate functions $f: Q \to \mathbb{R}$ on a compact rectangular domain $Q$ in $\mathbb{R}^d$, where monotonicity is understood in a generalized sense: as isotonicity in some coordinate directions and antitonicity in some other coordinate directions. As usual, the monotonic regression of a given function $f$ is
arxiv
Advanced Biology, EarlyView.Coacervation driven by liquid‐liquid phase separation (LLPS) of biopolymers has garnered increasing attention in biology since this leads to the formation of membraneless organelles capable of performing essential yet largely unknown functions. This review highlights recent advances in coacervates (artificial condensates) composed of low‐molecular ...
Sayuri L. Higashi, Masato Ikeda
wiley +1 more source
Some operator monotone functions [PDF]
Linear Algebra and its Applications, 2009 We prove that the functions t -> (t^q-1)(t^p-1)^{-1} are operator monotone in the positive half-axis for 0 < p < q < 1, and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.
openaire +4 more sources
Level-set based vessel segmentation accelerated with periodic monotonic speed function
Medical Imaging, 2011 To accelerate level-set based abdominal aorta segmentation on CTA data, we propose a periodic monotonic speed function, which allows segments of the contour to expand within one period and to shrink in the next period, i.e., coherent propagation.
Chunliang Wang, H. Frimmel, Ö. Smedby
semanticscholar +1 more source