Results 91 to 100 of about 350,821 (260)
Inhomogeneous self-similar sets and measures
, 2009 The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneous self-similar sets and measures. In particular, we show that these sets and measures are natural generalizations of the well known self-similar sets ...
Snigireva, Nina
core
Why human connection is the true metric of research success
FEBS Open Bio, EarlyView.Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
The Mean Minkowski Content of Homogeneous Random Fractals
Mathematics, 2020 Homogeneous random fractals form a probabilistic generalisation of self-similar sets with more dependencies than in random recursive constructions.
Martina Zähle
doaj +1 more source
Derivation and characterization of retinal pigment epithelium from urine‐derived iPSCs
FEBS Open Bio, EarlyView.Age‐related macular degeneration causes vision loss via RPE dysfunction and loss. Traditional iPSC therapies rely on invasive biopsies, limiting scalability. Here, we utilize urine‐derived stem cells as an accessible source to generate u‐iPSCs, successfully differentiated into pigmented RPE. This “Urine‐to‐Retina” platform provides a promising path for
Daniella Beiner +7 more
wiley +1 more source
Sеlf-similar solutions of hydrodynamic equations of non-local physics
Тонкие химические технологии, 2014 For linear partial differential equations there are various techniques for reducing the partial differential equations (PDE) to the ordinary differential equations (ODE) or at least to equations in a smaller number of independent variables. These include
B. V. Аlexeev, I. V. Ovchinnikova
doaj
Metallic mean Wang tiles I: self-similarity, aperiodicity and minimality
Forum of Mathematics, SigmaFor every positive integer n, we introduce a set ${\mathcal {T}}_n$ made of $(n+3)^2$ Wang tiles (unit squares with labeled edges). We represent a tiling by translates of these tiles as a configuration $\mathbb {Z}^2\to {\mathcal {T}}_n$
Sébastien Labbé
doaj +1 more source
Optimizing photoactivation of PA‐mCherry for optical pooled CRISPR screens
FEBS Open Bio, EarlyView.Photoactivatable PA‐mCherry finds widespread use to optically tag individual cells. However, confocal 405 nm UV laser‐scanning (normal scan) is much less efficient than widefield UV illumination, limiting the use of PA‐mCherry on confocal instruments. We remedy this limitation by reporting that rapid and repeated confocal scanning with a low‐intensity,
Sravasti Mukherjee +3 more
wiley +1 more source
Fixed set theorems for discrete dynamics and nonlinear boundary-value problems
Electronic Journal of Differential Equations, 2011 We consider self-mappings of Hausdorff topological spaces which map compact sets to compact sets and establish the existence of invariant (fixed) sets.
Robert Brooks +2 more
doaj
The dimensions of self-similar sets
Journal of the Mathematical Society of Japan, 1998 Let \(F\) be the self-similar set generated by the similar contraction mappings \(\phi_i\) in \(\mathbb R^d\) with ratios \(c_i\), \(1\leq i\leq n\), i.e., \(F=\bigcup_{i=1}^n\phi_i(F)\). Let \[ \alpha _0(A)=\sup \Biggl\{\alpha\left|\varliminf_{\varepsilon \rightarrow 0}\frac{\varepsilon^{-d}{\text{m}_d}(\bigcup _{\sigma \in \Omega (\varepsilon)}\phi _
LI, Wenxia, XIAO, Dongmei
openaire +3 more sources
Directed graph iterated function systems
, 2011 This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that ...
Boore, Graeme C.
core