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1 mall-world, whereas the attention network is fractal.
2 this configuration space, are, surprisingly, fractal.
3 e we demonstrate a controllable synthesis of fractal Ag micro-dendrites at the hundred-gram scale.
5 a thick aerosol layer consisting of fluffy, fractal aggregate particles produced by photochemistry a
7 n of a Rayleigh-Debye-Gans theory for coated fractal aggregates (RDG-CFA) that could be integrated in
8 pecies (e.g., monomers, dimers) to form mass fractal aggregates of ferrihydrite nanoparticles ( appro
9 e report the critical role of time-dependent fractal aggregation in the unsteady thermal convection o
10 g complexity analysis by including detrended fractal analysis (DFA) and multiscale entropy (MSE) were
14 We hypothesized that trabeculae measured by fractal analysis of cardiovascular magnetic resonance im
18 e-derived phenotypes of trabeculae using the fractal analysis of trabecular morphology in 18,096 part
19 hness (Sa) and the following scale-sensitive fractal analysis parameters: area-scale fractal complexi
20 ological sections using Image J skeleton and fractal analysis procedures at three time points and in
21 legant geometrical interpretation, the multi-fractal analysis quantifies the spatial and temporal irr
22 this study is to evaluate the capability of fractal analysis to discriminate the changes in the trab
24 e imaging data and include texture features, fractal and multi-resolution fractal texture features, a
28 e that stimulus domains (spatial, number and fractal) and WM processes (encode, maintain, probe) are
29 may structure the interface as a self-affine fractal, and so induce a series of temporal and spatial
30 ntation, the self-assembly mechanism of this fractal architecture allows fabrication of micrometer-th
32 lowed to determine the particle porosity and fractal arrays at the atomic scale for the S-Mo-S(Co) 2D
34 erns on the tiles, and that the yield of the fractal assembly process corresponds to about 0.95(m - 1
35 We illustrate this method, which we term 'fractal assembly', by producing DNA origami arrays with
37 uenching rates, we conclude that there is no fractal atomic-level structure associated with the packi
39 ected by various factors can exhibit complex fractal behaviors, whose reliable characterization howev
40 model of rangeomorph morphologies reveals a fractal body plan characterized by self-similar, axial,
42 s and HSCs scale during development with the fractal branching patterns of portal vessels, tributarie
43 to an important finding: the existence of a fractal characteristic (D = 1.63) for the hydroxyapatite
45 ut a mixture which corresponded to different fractal colour values (51.0-71.8), and they varied from
46 tive fractal analysis parameters: area-scale fractal complexity (Asfc), exact proportion length-scale
52 nd our results suggest that the influence of fractal diffusion is minimal for these reaction-limited
54 CI]: -3.1 mum, -0.2 mum), reduced arteriolar fractal dimension (-0.01 Df; 95% CI: -0.02 Df, -0.001 Df
55 ibuted with a tail exponent (tau = 1.97) and fractal dimension (d = 1.38), similar to theoretical exp
56 Focusing on the most important case of low fractal dimension (D f = 2.2) with extensive numerical s
57 tly increased mean weight diameter (MWD) and fractal dimension (D) in mechanical stability aggregates
59 hat the hydrodynamic radius [HR] increases), fractal dimension (Df) strongly decreases (providing inc
60 easure the capillary density index (CDI) and fractal dimension (FD) at the superficial vascular plexu
63 A) devices by comparing vessel density (VD), fractal dimension (FD), and foveal avascular zone (FAZ)
64 skeleton density (SD), vessel density (VD), fractal dimension (FD), and vessel diameter index (VDI).
65 ts and seven retinal vessel parameters, i.e. Fractal Dimension (FD), Average Angle (ABA), Total Angle
66 vessel density (VD), skeletal density (SD), fractal dimension (FD), vessel diameter index (VDI), and
67 ulation was measured with the maximal apical fractal dimension (FD), which is a marker of endocardial
70 io, 4.18+/-0.71 vs. 4.32+/-0.87 [P = 0.129]; fractal dimension [Df] value, 1.78+/-0.06 vs. 1.78+/-0.0
71 In the Lothian Birth Cohort 1936 arteriolar fractal dimension accounted for 4% of the variance in WM
72 ing the ultrasonic wave detection method and fractal dimension analyses, how freeze-thaw induced frac
73 individuals and periodontitis patients with fractal dimension analysis on digital periapical radiogr
74 tion and avalanches, stems directly from the fractal dimension and energy function of these paths.
75 the fractal parameters of particles, such as fractal dimension and fractal prefactor, is insignifican
78 alities, including narrower caliber, reduced fractal dimension and larger branching angle, suggesting
80 inate between visual stimuli on the basis of fractal dimension and may prefer viewing informationally
82 al structure of chromatin due to increase in fractal dimension correlates with increased heterogeneit
86 invasion morphology in 3D porous media, the fractal dimension D(f) of the non-wetting phase displace
88 ethods and N2 adsorption for determining the fractal dimension for nanometric MoS2 and MoS2/Co cataly
89 er spectrum method was used to calculate the fractal dimension in intraretinal regions of interest id
90 materials, our results show that the surface fractal dimension is an important determinant in cloud d
91 Our findings suggest that sensitivity to fractal dimension may be a wider ability of the vertebra
92 icular, histogram mean, median, and entropy, fractal dimension mean and standard deviation, and secon
94 sters exhibit a branched architecture with a fractal dimension of [Formula: see text], reminiscent of
95 nge 300-10,000, (i) the finger pattern has a fractal dimension of approximately 1.7 and (ii) the azim
96 molar mass, Rh approximately M(1/d), with a fractal dimension of d approximately 2.5 rather than 3.
104 xponent of the step length distributions and fractal dimension of trajectories were independent of te
111 In the Mild Stroke Study lower arteriolar fractal dimension was associated with deep WMH scores (o
114 e arteriole to venule ratio, tortuosity, and fractal dimension were measured on the 2 groups using Ve
115 milar contours that systematically varied in fractal dimension while their attention to the stimuli w
116 6, P < 0.0001), and positive correlations of fractal dimension with G (d) (r = 0.75, P < 0.0001) and
117 l features (thickness, total reflectance and fractal dimension) of various intraretinal layers extrac
118 .g. caliber, tortuosity, branching angle and fractal dimension) were measured quantitatively from 0.5
119 eased compared with controls (maximal apical fractal dimension, 1.249+/-0.07 versus 1.199+/-0.05; P=0
121 s of permeability, specific deposit, deposit fractal dimension, and deposit radius of gyration, at di
123 action, as well as increased its entropy and fractal dimension, and morphologically appears to be max
125 ly the optical redox ratio and mitochondrial fractal dimension, can be potentially used as a tool for
126 y, the optical redox ratio and mitochondrial fractal dimension, correlate with structural, functional
127 We analytically show that changes in the fractal dimension, D, of chromatin correspond to simulta
128 y to complicated geometric forms, indexed by fractal dimension, is an evolutionarily conserved capaci
131 fluid, these trends reversed, with increased fractal dimension, radius of gyration, and permeability.
132 erties of high porosity, large surface area, fractal dimension, robust enzymatic activity, good durab
133 , and by taking into account the chromatin's fractal dimension, we derive an analytical expression fo
134 ure descriptors-surface height, rugosity and fractal dimension-and explains 98% of surface variation
142 model surface areas of NPs in solution using fractal dimensions and size distributions are discussed
144 C, collision cascades are mass fractals with fractal dimensions in the range of 1-2, depending on ion
145 e system dynamics (quantified by multiplying fractal dimensions of the four climatic factors) in nort
146 two shale samples were evaluated to estimate fractal dimensions using combined small angle X-ray scat
151 oreover, all birds presented similar overall fractal dynamics (for scales approximately 30 s to >4.4
152 In particular, animal behavior displays both fractal dynamics and periodic rhythms yet the relationsh
155 that was ascribed to their hierarchical and fractal energy landscape, and is also different from [Fo
156 allenges, we present a set of reliable multi-fractal estimation algorithms for quantifying the struct
157 stage, and extruded flours exhibited higher fractal exponent h in agreement with the extended crysta
158 Furthermore, our analysis shows that the fractal features have a significant effect on the predic
159 -order statistical histogram and model-based fractal features reflecting the whole-tumor voxel intens
160 imal matrix models of scars (MMMS), in which fractal-fibre bundles segregate heterogeneously to the h
161 , a regime dominated by long highly-branched fractal fingers gives way to one dominated by blunt stab
162 ls can be tailored from compact triangles to fractal flakes, and the pattern formation can be explain
163 explain the fundamental relationship between fractal fluctuations and population coupling in LGN and
164 and magnocellular (M) LGN cells show weaker fractal fluctuations at longer (multi-second) time scale
166 LGN and MT, the amplitude and time scale of fractal fluctuations can explain short and long time sca
167 rescaled range analysis, we reveal inherent fractal fluctuations of spiking activity in LGN and MT.
168 N pathway and in area MT show high-amplitude fractal fluctuations, whereas evolutionarily newer parvo
169 pulation coupling is intrinsically linked to fractal fluctuations: neurons showing stronger fluctuati
171 iological complexity can be quantified using fractal geometric features where we observed that fracta
172 posites (ECCs), the unique three-dimensional fractal geometrical configuration and low-temperature si
174 at the time of lactation adhere to a perfect fractal geometry - which is destroyed by breast cancer.
175 l hexagons around a central hexagon, exhibit fractal geometry features with self-similarity at differ
176 roots go back over two decades to the use of fractal geometry in the characterization of phase-space
177 sy rheology may be a consequence of emergent fractal geometry in the energy landscapes of many comple
180 ose bio-inspired electronics which adopt the fractal geometry of the neurons they interface with.
181 ectiveness in unweighted networks, the multi-fractal geometry of weighted complex networks, the role
182 structure-property relationship based on the fractal geometry theory, to describe the evolution of lo
183 microstructure (including size distribution, fractal geometry, and number of primary particles) was o
184 n transition produces porous nanocarbon with fractal geometry, which consists of mostly sp(2) carbons
186 t chromosome folding deviates from the ideal fractal-globule model at large length scales and that TA
187 y at submicron length scales where chromatin fractal globules are formed, is critical to understandin
188 exhibit characteristics similar to those of 'fractal globules,' and even the most genomically-distant
189 haracterized by integer branching ratios and fractal golden ratios of Fibonacci sequences representin
191 onship, we modelled spiking activity using a fractal inhomogeneous Poisson process with dynamic rate,
193 ted non-equilibrium aggregation processes by fractal laws, moreover, applications in modern micro-flo
197 of many component systems and highly complex fractal-like and quasicrystalline systems discussed.
198 ary epithelial cells organize into arrested, fractal-like clusters at low density in reduced epiderma
200 d against a periportal vascular niche with a fractal-like organization enabled by placental circulati
201 release of biased (enriched) components, via fractal-like paths, allows for patterned layered surface
203 itional inversion (TOCI) method to introduce fractal-like structures on the surface of these metals i
204 mbly of proteins into tunable supramolecular fractal-like topologies in response to phosphorylation.
207 nstructs are suggestive of a larger field of fractal materials that incorporate repeating geometries
208 al geometric features where we observed that fractal measures were also reduced significantly by 33%,
212 and intrinsic scalability of these photonic fractal metamaterials provide ample opportunities for ap
215 work addresses the long-standing debate over fractal models of packing structure in metallic glasses
216 authors studied 1,129 youths who completed a fractal n-back task during functional magnetic resonance
218 tic resonance imaging paradigms were used: a fractal n-back working memory task probing executive sys
220 e network was self-organized as evident from fractal nature in topological parameters of it and lacke
222 ts demonstrate a general method by which the fractal nature of collision cascades can be used to expl
224 n resonance band, a new band appears, due to fractal nature, generation of newer energy levels never
227 s evaluation of ultradian rhythms as well as fractal organization according to six different analytic
228 roscopy to show that anomalous diffusion and fractal organization of microvilli survey the majority o
230 t demonstration that avian behavior presents fractal organization that predominates at shorter time s
232 The effect of drive cycle and the GPF on the fractal parameters of particles, such as fractal dimensi
233 cribed as fractals, the correlation of their fractal parameters with experimental observations of rad
234 temperatures ( approximately 2000 K) yields fractal particles of a larger size and high EC content (
235 understand the evolutional origin of such a fractal pattern as well as the alterations of fractal pa
241 report of graphene paper functionalized with fractal platinum nanocauliflower for use in electrochemi
243 ce of various barrier-hopping processes on a fractal potential energy landscape (PEL) in which shear
246 imulations demonstrating how an interplay of fractal properties generates enhanced stimulation; the e
250 point at air-entry suction in the pore-solid fractal (PSF) model, which additionally considered the h
251 of dendritic materials also exhibits obvious fractal qualities based on self-similar, repetitive, bra
252 as led to electronic phenomena including the fractal quantum Hall effect(1-3), tunable Mott insulator
253 regular lattices and general graphs, such as fractals, random trees and scale-free networks, revealin
255 redicts the interfacial contact stiffness of fractal rough surfaces by considering the effects of ela
258 key role in dictating the existence of multi-fractal scaling and (ii) the multi-fractal scaling can b
260 of multi-fractal scaling and (ii) the multi-fractal scaling can be localized in both space and scale
263 ulence, such interfaces are known to display fractal scaling laws with a dimension [Formula: see text
264 rch from different fields and indicates that fractal scaling may be a highly sensitive metric for ind
266 loss of temporal complexity and a change in fractal scaling of the torque signal during isometric kn
269 turbulent spots exhibit high-Reynolds-number fractal-scaling properties already during early transiti
271 n mutations indicate a notable disruption in fractal 'self-similarity', fusion mutations demonstrate
278 tive of pulmonary gangrene, a variant of the fractal sign combining a lung consolidation with an unde
279 theory of transport in aperiodic media with fractal spectra, and additionally demonstrate logarithmi
280 s, the scaling characteristics and the multi-fractal spectrum in thicker samples gradually approach t
281 ds, graphene superlattices exhibit a complex fractal spectrum often referred to as the Hofstadter but
282 cess, reflecting the plastic deformation has fractal structure at the temperature of 223 K and strain
283 activation-type motion of DW and reveal the fractal structure of DW near the depinning transition.
284 and that it might be possible to extend the fractal structure of the identity beyond the boundaries
285 re we show that metallic networks with quasi-fractal structure provides a near-perfect practical real
286 trees are expected to exist and they have a fractal structure whose perimeter-area relationship is t
287 wo states of shear-branching structures: the fractal structure with a long-range order at an intermed
294 n cascades have previously been described as fractals, the correlation of their fractal parameters wi
297 stark contrast to disease-dependent temporal fractals, we find the same prevalence of optimal Levy fl
300 both Si and SiC, collision cascades are mass fractals with fractal dimensions in the range of 1-2, de