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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.
4                                We argue that fractal aggregate particles may also have a significant
5  a thick aerosol layer consisting of fluffy, fractal aggregate particles produced by photochemistry a
6 ors, and fusing to form dendrites, a type of fractal aggregate.
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
11                                              Fractal analysis can quantitatively discriminate the tra
12                                        Using fractal analysis for these DNA walks, we have determined
13                                              Fractal analysis of cardiac MR imaging data measures end
14  We hypothesized that trabeculae measured by fractal analysis of cardiovascular magnetic resonance im
15                              Scale-sensitive fractal analysis of high-resolution 3-dimensional surfac
16                           We perform a multi-fractal analysis of the Barkhausen noise signals and sca
17                                        Using fractal analysis of the size distribution of trachybasal
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
23                                            A fractal analysis was also done theoretically to investig
24 e imaging data and include texture features, fractal and multi-resolution fractal texture features, a
25                         Time, frequency, and fractal and nonlinear properties of the signals were exa
26                             Through detailed fractal and percolation analyses of MG structures, deriv
27 ither random nor artificial, but self-affine fractal and rougher for Landers.
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
31 hiometric ratio (1:1:3) produced the desired fractal architecture in near-quantitative yield.
32 lowed to determine the particle porosity and fractal arrays at the atomic scale for the S-Mo-S(Co) 2D
33 s of elastic and plastic deformations of the fractal asperities.
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
36 bry transition and the onset of its hallmark fractal atomic arrangement.
37 uenching rates, we conclude that there is no fractal atomic-level structure associated with the packi
38  revealing details about the growth rate and fractal behavior.
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,
41         Nonlinear systems often give rise to fractal boundaries in phase space, hindering predictabil
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
44                      In addition, this multi-fractal characterization framework enables the construct
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
47 s form an abelian group, whose identity is a fractal composed of self-similar patches.
48                               Thus, both the fractal design and supramolecular aspects of these const
49                       Advanced materials and fractal design concepts form the basis of a 3D conformal
50                         Herein, we propose a fractal-design based switched-capacitor-convertors with
51                     The establishment of the fractal-design switched-capacitor-convertors provides si
52 nd our results suggest that the influence of fractal diffusion is minimal for these reaction-limited
53 on was associated with lower retinal venular fractal dimension (- 0.13Df; - 0.25, - 0.004).
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
58                                     CRVE and fractal dimension (D0a) were significantly higher in the
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
61 uring clinical examination were used for the fractal dimension (FD) calculations.
62                                     The mean fractal dimension (FD) values of two regions were calcul
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
68 sity (VLD), vessel diameter index (VDI), and fractal dimension (FD).
69  evaluated to quantify LV trabeculation as a fractal dimension (FD).
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
76                            Low mitochondrial fractal dimension and high lacunarity correlates with in
77                                              Fractal dimension and lacunarity measurements are a sens
78 alities, including narrower caliber, reduced fractal dimension and larger branching angle, suggesting
79                      Control cells have high fractal dimension and low lacunarity and are relatively
80 inate between visual stimuli on the basis of fractal dimension and may prefer viewing informationally
81                                              Fractal dimension correlated with structural and osteoge
82 al structure of chromatin due to increase in fractal dimension correlates with increased heterogeneit
83                                  The surface fractal dimension D is a measure that indicates the amou
84                The results show that surface fractal dimension D s of inaccessible pores is greater t
85  an exponent alpha within the whole range of fractal dimension D(1 < D < 2).
86  invasion morphology in 3D porous media, the fractal dimension D(f) of the non-wetting phase displace
87            The results show that the surface fractal dimension decreases for the two bioconverted coa
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
93         The maximum discrimination value for fractal dimension of 0.96 (standard error =0.025) for th
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.
97                 The optical redox ratio, and fractal dimension of mitochondria were assessed and corr
98 s fast (<15 min) thereby rapidly raising the fractal dimension of tephra deposits.
99                                          The fractal dimension of the indentation depth increases wit
100 if the latter is corrected using the surface fractal dimension of the insoluble cloud nucleus.
101 s and measured the subsequent changes in the fractal dimension of the intracellular structure.
102                                          The fractal dimension of the OPL and the GCL + IPL complex p
103       Furthermore, the M-PSF model, used the fractal dimension of the particle size distribution, exh
104 xponent of the step length distributions and fractal dimension of trajectories were independent of te
105                                   Decreasing fractal dimension on OCTA correlated with increasing LAP
106 a significantly greater neovascular area and fractal dimension on the stress OCT-A (P = 0.002).
107                  Moreover, the thickness and fractal dimension parameters of the retinal nerve fiber
108                              The increase of fractal dimension reduces both momentum and thermal boun
109         Lymphatic vessel volume fraction and fractal dimension significantly decreases away from the
110                                      A large fractal dimension suggests the concurrent nucleation of
111    In the Mild Stroke Study lower arteriolar fractal dimension was associated with deep WMH scores (o
112                                          The fractal dimension was evaluated by dimensional detrended
113        Cell morphology complexity assayed by fractal dimension was inhibited in nocodazole- and cytoc
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
120                                      Reduced fractal dimension, a measure of vascular complexity, is
121 s of permeability, specific deposit, deposit fractal dimension, and deposit radius of gyration, at di
122 he chaotic time-series, approximate entropy, fractal dimension, and Hurst exponent.
123 action, as well as increased its entropy and fractal dimension, and morphologically appears to be max
124 esponded with higher specific deposit, lower fractal dimension, and smaller radius of gyration.
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
129                                          The fractal dimension, known as the degree of self-similarit
130                           During deposition, fractal dimension, radius of gyration, and permeability
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
135                                      The new fractal dimension-based data analysis method automatical
136 easures of Fano factor, entropy, and Higuchi fractal dimension.
137  geometrically frustrated and has a peculiar fractal dimension.
138 ed by calculating structural information and fractal dimension.
139 e, refraction, optic disc diameter, CRAE, or fractal dimension.
140 timuli in natural scenes is evaluating their fractal dimension.
141 lar light scattering for gyration radius and fractal dimension.
142 model surface areas of NPs in solution using fractal dimensions and size distributions are discussed
143                       The range of aggregate fractal dimensions found (2.22-2.42) implies a high pote
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
147 sorption and the adsorption processes by the fractal dimensions.
148 lume fraction of nanoparticles for different fractal dimensions.
149 s that contain boundary contours with higher fractal dimensions.
150            Here, we develop Cayley tree-like fractal DNA frameworks to topologically encode the fluor
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
153 s in brain activity may exhibit scale-free ("fractal") dynamics.
154                                            A fractal electrode might increase both light transmission
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
165 ) pathway in LGN and area MT exhibits strong fractal fluctuations at short (<1 s) time scales.
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
170                 Our results suggest that the fractals generated by DNA walks can yield important insi
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
173                                              Fractal geometries, advanced electrode materials, and th
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
178 lity point to a hitherto-unobserved magnetic fractal geometry in this system.
179                              Could a loss of fractal geometry of the blood supply to human tissue be
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
185 ntact domains are also not consistent with a fractal globule.
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
190 h the integer QHE states associated with the fractal Hofstadter spectrum.
191 onship, we modelled spiking activity using a fractal inhomogeneous Poisson process with dynamic rate,
192 es extraordinary order in such a complex and fractal instability.
193 ted non-equilibrium aggregation processes by fractal laws, moreover, applications in modern micro-flo
194 lly that acts as chain of oscillators with a fractal like resonance band.
195      The stock-GDI vehicle emits graphitized fractal-like aggregates over all driving conditions.
196     When freshly emitted, they are typically fractal-like aggregates.
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
199  patterned into self-similar unit cells in a fractal-like geometry.
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
202 om straight gravity-aligned primary roots to fractal-like root architectures.
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.
205                      The modified pore-solid fractal (M-PSF) model was tested using 26 soil samples f
206 eir mutual electrostatic field proceeds in a fractal manner.
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%,
209                                          The fractal media are used for the fabrication of plasmonic
210                 This plasmonic-semiconductor fractal media supports the propagation of surface plasmo
211                                              Fractal metallic dendrites have been drawing more attent
212  and intrinsic scalability of these photonic fractal metamaterials provide ample opportunities for ap
213  absorber comprising elliptical rings-shaped fractal metasurface using tungsten metal.
214                                   Within our fractal model, the effective defect diffusion length is
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
217  questionnaire, fMRI during performance of a fractal n-back task, and (1)H-MRS, respectively.
218 tic resonance imaging paradigms were used: a fractal n-back working memory task probing executive sys
219                                              Fractal nanoplatinum with cauliflower-like morphology wa
220 e network was self-organized as evident from fractal nature in topological parameters of it and lacke
221                 Their work reminds us of the fractal nature of cell surfaces and highlights how the u
222 ts demonstrate a general method by which the fractal nature of collision cascades can be used to expl
223 tion damage formation which accounts for the fractal nature of collision cascades.
224 n resonance band, a new band appears, due to fractal nature, generation of newer energy levels never
225 ponent is used to quantify the complexity of fractal nature.
226 and the relationship between small-world and fractal networks.
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
229 terns of even the youngest infants exhibited fractal organization that increased with age.
230 t demonstration that avian behavior presents fractal organization that predominates at shorter time s
231                                     Further, fractal organization was greater when children (a) viewe
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
236 ractal pattern as well as the alterations of fractal pattern during diseased statuses.
237                                          The fractal pattern of heartbeats - a multiscale regulation
238         A novel biosensing platform based on fractal-pattern of iron oxides magnetic nanostructures (
239                      However, the concept of fractal patterns was found to be insufficient to describ
240 bisostatic and have a transient, potentially fractal percolated structure.
241 report of graphene paper functionalized with fractal platinum nanocauliflower for use in electrochemi
242 s a new analytical model to study the PVC of fractal porous media.
243 ce of various barrier-hopping processes on a fractal potential energy landscape (PEL) in which shear
244  of particles, such as fractal dimension and fractal prefactor, is insignificant.
245           We develop a model consisting of a fractal process and a global rate modulation which can r
246 imulations demonstrating how an interplay of fractal properties generates enhanced stimulation; the e
247        Through an analysis of soil aggregate fractal properties supported by 3D microtomographic imag
248                                              Fractal protein clusters were observed at 65-75 degrees
249 l roles as hubs in a hierarchical scale-free fractal protein-protein interaction network.
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
254 ch is the product of an intrinsic stochastic fractal rate and a global modulatory gain.
255 redicts the interfacial contact stiffness of fractal rough surfaces by considering the effects of ela
256          These advantages are negated if the fractal's field is less effective at stimulating neurons
257  distribution of plasmonic nanocrystals in a fractal scaffold of high-index semiconductors.
258 key role in dictating the existence of multi-fractal scaling and (ii) the multi-fractal scaling can b
259                      This study explores the fractal scaling behavior of the groundwater systems affe
260  of multi-fractal scaling and (ii) the multi-fractal scaling can be localized in both space and scale
261 ing accurate measurements of the volume-area fractal scaling exponent.
262                        We present two global fractal scaling formulas to describe these two distinct
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
265          In this study, we demonstrated that fractal scaling of BOLD fMRI signal is consistently supp
266  loss of temporal complexity and a change in fractal scaling of the torque signal during isometric kn
267                               Complexity and fractal scaling of torque were quantified by calculating
268                               Complexity and fractal scaling of torque were quantified by calculating
269 turbulent spots exhibit high-Reynolds-number fractal-scaling properties already during early transiti
270                 Levy flights are scale-free (fractal) search patterns found in a wide range of animal
271 n mutations indicate a notable disruption in fractal 'self-similarity', fusion mutations demonstrate
272                                  We measured fractal (self-similar) fluctuations in ongoing spiking a
273 de of the system is a fundamental problem of fractal series analysis.
274                                      Using a fractal shape channel design and automated image analysi
275                                 Furthermore, fractal shaped gold nanostructured electrodes are examin
276                The recurrence of patterns in fractal-shaped branched objects, such as trees, lungs an
277          We demonstrated a crossover between fractal short-range (<2 atomic diameters) and homogeneou
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
288                                They may have fractal structures at the atomic level, but a physical m
289 ging from linear chains to three-dimensional fractal structures.
290 tend the problem to explain the formation of fractal structures.
291 xture features, fractal and multi-resolution fractal texture features, and volumetric features.
292 all neighboring neurons is over 50% less for fractal than Euclidean electrodes.
293                          A specific class of fractal, the percolation cluster, explains the structura
294 n cascades have previously been described as fractals, the correlation of their fractal parameters wi
295                                              Fractal topologies, which are statistically self-similar
296                                          The fractal topology minimises fluorescence crosstalk and al
297 stark contrast to disease-dependent temporal fractals, we find the same prevalence of optimal Levy fl
298                                      Here, a fractal web design of a hemispherical photodetector arra
299        The unique structural property of the fractal web design provides protection of the device fro
300 both Si and SiC, collision cascades are mass fractals with fractal dimensions in the range of 1-2, de

 
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