Results 61 to 70 of about 10,817,835 (359)
Asymptotics of Divide-And-Conquer Recurrences Via Iterated Function Systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Let $k≥2$ be a fixed integer. Given a bounded sequence of real numbers $(a_n:n≥k)$, then for any sequence $(f_n:n≥1)$ of real numbers satisfying the divide-and-conquer recurrence $f_n = (k-mod(n,k))f_⌊n/k⌋+mod(n,k)f_⌈n/k⌉ + a_n, n ≥k$, there is a unique ...
John Kieffer
doaj +1 more source
On the chaos game of Iterated Function Systems [PDF]
, 2015 Every quasi-attractor of an iterated function system (IFS) of continuous functions on a first-countable Hausdorff topological space is renderable by the probabilistic chaos game. By contrast, we prove that the backward minimality is a necessary condition
Pablo G. Barrientos +3 more
semanticscholar +1 more source
Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
wiley +1 more source
Rotation number and its properties for iterated function and non-autonomous systems
پژوهشهای ریاضی, 2017 The main purpose of this paper is to introduce the rotation number for non-autonomous and iterated function systems. First, we define iterated function systems and the lift of these types of systems on the unit circle.
Mehdi Fatehi Nia
doaj
Scale-Free Fractal Interpolation
Fractal and Fractional, 2022 An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A. Navascués +2 more
doaj +1 more source
On the dimensions of attractors of random self-similar graph directed iterated function systems [PDF]
, 2015 In this paper we propose a new model of random graph directed fractals that extends the current well-known model of random graph directed iterated function systems, $V$-variable attractors, and fractal and Mandelbrot percolation. We study its dimensional
Sascha Troscheit
semanticscholar +1 more source
Targeted protein degradation in oncology: novel therapeutic opportunity for solid tumours?
Molecular Oncology, EarlyView.Current anticancer therapies are limited by the occurrence of resistance and undruggability of most proteins. Targeted protein degraders are novel, promising agents that trigger the selective degradation of previously undruggable proteins through the recruitment of the ubiquitin–proteasome machinery. Their mechanism of action raises exciting challenges,
Noé Herbel, Sophie Postel‐Vinay
wiley +1 more source
The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms
Journal of High Energy Physics, 2022 We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel +2 more
doaj +1 more source
Iterating the Sum-of-Divisors Function [PDF]
Experimental Mathematics, 1996 Let $\sigma^0(n) = n$ and $\sigma^m(n) = \sigma(\sigma^{m-1}(n))$, where $m\ge1$ and $\sigma$ is the sum-of-divisors function. We say that $n$ is $(m,k)$-perfect if $\sigma^m(n) = kn$. We have tabulated all $(2,k)$-perfect numbers up to $10^9$ and all $(3,k)$- and $(4,k)$-perfect numbers up to $2\cdot10^8$.
Cohen, Graeme L., te Riele, Herman J. J.
openaire +2 more sources