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1 um forces an animal can exert scale to a 2/3 power law.
2 ssure and decreased cell size according to a power law.
3 , passive) environmental motion did follow a power law.
4 frequencies, which can be approximated by a power law.
5 s) were analyzed on the basis of the scaling power law.
6 to increase without bound, consistent with a power law.
7 y depends on the network size according to a power-law.
8 ze is fat-tailed, scaling approximately as a power-law.
9 Cascade size distributions obeyed power laws.
10 an upper limit of 2 for the exponent of such power laws.
11 path lengths, which are well approximated by power laws.
12 d body mass and were well described by three power laws: a spatial Taylor's law (the spatial variance
13 with measurement timespan as an approximate power law across nearly six orders of magnitude (10(2) t
14 nger peak and shallow hyperpolarization; for power-law activation of the sodium conductance (m gate),
16 hat the dimensions of dike intrusions obey a power law analogous to the Gutenberg-Richter relation, a
22 ed by the energy flux, displays a remarkable power law as a function of the Reynolds number, both in
23 s suggest exponential, double exponential or power laws as empirical forms, we contend that truncated
24 nd width variabilities increase with a (3/4) power-law as diameter decreases and translate these fluc
31 sical model, the action potential shapes for power-law behaving potassium conductance (n gate) showed
32 the state space model of IVR, which predicts power law behavior for the rates with the power law expo
33 unctions induces hierarchical modularity and power law behavior in network evolution as the network o
34 mammals as well as deviations from the pure power law behavior of Kleiber's law, and predict the pos
35 e optical conductivity adopts the well-known power law behavior sigma1(omega) proportional, variant o
37 getation clusters in the Everglades exhibits power-law behavior and such behavior is often associated
40 intermediate quench velocities, we observe a power-law behavior of the coherence length, reminiscent
44 superlinear scaling behavior, expressed by a power-law, between CO2 emissions and city population wit
45 given quench rate) well approximated by the power law, but with exponents that depend on that rate,
47 with those of hard-sphere colloids and show power laws characteristic of an approach toward a glass
48 es the critical state resulting in recovered power-law characteristics in activity and variability of
49 0,000 NPs uncovered that NP research follows power-law characteristics typical for behavioral phenome
50 These physical constraints frame the -1/4 power law classically inferred from allometry of animal
51 treatment to provoke a drastic change in the power law coefficient and to demonstrate the feasibility
52 gy and show that the method to determine the power law coefficient is robust against drift and largel
54 of sequences and folds are found to follow a power law, consistent with those observed for proteins i
55 inear magnetoresistance, an excess -TlnT (or power law) contribution to the low temperature heat capa
57 ence along all directions, whereas no simple power law could describe the temperature dependence of t
59 rm that parameter recovery variance exhibits power law decay as a function of the length of available
60 We show that size-rank distributions with power-law decay (often only over a limited extent) obser
62 order parameter approaches a constant via a power-law decay, which may support a dynamical topologic
64 a range of energies, and then recombine with power law decays that are indicative of charge trapping-
65 fine time resolution spectral analysis shows power-law decays of the peak energy from the onset of th
66 edict the correct values of the exponents of power-law degree distributions observed in real networks
70 ce between adjacent DNA-NPs follows a simple power law dependence on solution ionic strength regardle
71 d in the ring exhibit a universal fractional power law dependence on the quench time, also predicted
72 , dielectric constant shows a characteristic power-law dependence near absolute zero temperature and
75 ility of a single bacterium follows a simple power-law dependence on the concentration of integrins.
76 bending-dominated and can be recognized by a power-law dependence with exponent 3/2 of the shear modu
77 rier mobility follows an inverse-temperature power-law dependence, mu proportional, variant T(-) (gam
78 ase diagram established here, with different power-law dependencies of the angular velocities on the
81 the interaction energy experiences different power law distance decays, magnitudes and dependences on
82 et degree distribution yielded by GENESCs is power law distributed for large SCs and show that it is
85 ging behaviors display movement lengths with power-law distributed tails, characteristic of Levy flig
87 , in which flight step lengths are typically power-law distributed, provides a relatively simple yet
90 erogeneity of flux values with a near-random power law distribution (degree exponent gamma>/=2.7).
91 of these seals were described by a truncated power law distribution across several spatial and tempor
94 ased while a change from an exponential to a power law distribution of APT from basal to upper trophi
97 patial power spectral densities conform to a power law distribution with some nonlinear variations.
103 te that neutral tumor evolution results in a power-law distribution of the mutant allele frequencies
104 hereas those in type-II display a scale-free power-law distribution with exponent approximately 2.
105 fferent domain types, (5) degree of fit to a power-law distribution, (6) compositional domain GC cont
106 ributions associated with each modality is a power-law distribution, providing an explanation to the
113 oodness-of-fit tests found that even bounded power-law distributions only accurately characterized mo
116 e plastic deformation that displays the same power-law dynamics as the fully reversible viscoelastic
119 high shear rates (>500 s(-1)), at which the power law exponent (n) of zebrafish blood was nearly 1 b
123 ts power law behavior for the rates with the power law exponent, an effective state space dimensional
125 there is a discrepancy between the observed power-law exponent and that predicted from the noise par
126 of elastic modulus E and fluidity beta (the power-law exponent of the cell deformation in response t
128 of the index alpha fixes the distribution's power-law exponent, that for the dual index 2 - alpha en
129 respond to a Levy walk whose characteristic (power-law) exponent is tuned to nearly minimize the time
130 uicides and city population, with allometric power-law exponents, beta = 0.84 +/- 0.02 and 0.87 +/- 0
137 ithmic for 12, power law for 7, and modified power law for 2 using WBN data and were linear for 9, qu
139 tic for 13, cubic for 6, logarithmic for 12, power law for 7, and modified power law for 2 using WBN
141 tes in Ho3N@C80 is responsible for the n = 3 power law for singly charged parent molecules at intensi
145 ate cascades are associated with approximate power law form, the task state is associated with subcri
147 iscoelastic models and the paradigmatic weak power law found to interpret the viscoelastic properties
151 demonstrate that the contact stiffness is a power law function of the normal contact load with an ex
152 etermined by the initial concentration and a power law function of the remaining volume fraction.
155 y (the spatial mean population density was a power-law function of mean body mass); and variance-mass
156 density (or other nonnegative quantity) as a power-law function of the mean density (or other nonnega
157 spatial variance in population density was a power-law function of the spatial mean population densit
161 increasing k, and can be fitted by piecewise power-law functions with different exponents at differen
162 mprised the exponential, exponential-linear, power law, Gompertz, logistic, generalized logistic, von
164 signals across sensory modalities decay as a power law (i.e., as 1/f(alpha)), we found that this did
166 namics are identified by two measures: (1) a power law in the size distribution of activity cascades
168 al farmers' decisions that predicts specific power laws in spatial patterning that are also seen in a
169 functional categories change, on average, as power-laws in the total number of protein-coding genes.
170 on potentials had a sharp rise time; and for power-law inactivation of the sodium conductance (h gate
171 iminary results from sea surface tows show a power-law increase in small microplastics (i.e., <1 mm)
172 lk precipitation and throughfall exhibited a power-law increase with a closer distance to the nearest
173 listic features, such as overlapping indels, power-law indel-length distributions, and indel rate var
174 re of brain states under LSD closely follows power-laws indicating a re-organization of the dynamics
176 d based on learning curve fitting by inverse power law (IPL) and compared it with three existing meth
177 distributed in space, the exponent b of this power law is conjectured to reflect aggregation in the s
178 ma </= 1) interacting with an inverse p = 12 power law is investigated as a paradigm of a soft potent
179 ibutions of k-mers exhibit long tails with a power-law-like trend, and rank frequency plots exhibit a
180 istributions have significant deviation from power law-mainly since larger facets tend to subsume sma
181 ncreasing block copolymer concentration in a power law manner with an exponent approximately 2/3.
183 ates went from 14.9% to 62.7% when using the power law model to predict the full future tumor growth
184 with an emphasis on kriged maps and a simple power-law model, both of which have been used to locate
187 ably, the size distributions follow the same power law multiplied with the same exponential cutoff.
188 does per outbreak vary according to Taylor's power law of fluctuation scaling (TL), with parameters t
191 entrations in surface precipitation follow a power law of precipitation depth that is modulated by pr
194 ntrast to the architecture-dependent modulus power-law of the existing engineering materials; under l
195 otic spatial growth is according to either a power law or a stretched exponential, depending on the t
196 y documented mismatches between predictions (power-law or concave curvature) and observed empirical d
197 requency domains under a structural damping (power-law or fractional-derivative) model, but not under
198 were characterized parameter-dependently by power-law or truncated-power-law size distributions.
199 orresponding rank distributions remain exact power laws, p(x) ~ x(-lambda), where the exponent direct
201 a model to explain the emergence of apparent power law path length distributions in animals that can
202 d that "Levy random walks"-which can produce power law path length distributions-are optimal for memo
203 raw moments of the SADs of arthropods have a power law pattern similar to that observed for the SAD o
204 harge separation was signalled by pronounced power-law photoluminescence decay polarized along the sa
205 w in biological motion kinematics is the 2/3 power law (PL), which imposes a strong dependency of mov
206 nched from Phoebe, and construct theoretical power-law profiles of the particle size distribution.
210 0 interacting nodes and find that there is a power-law relating environmental imperturbability and ge
212 ficients, D, and the exponent of the inverse power-law relation between D and the molecular mass of t
215 Diffusion coefficients were modeled by a power law relationship as a function of dextran molecula
217 Finally, our data showed that there was a power law relationship between the coverage territory an
222 communities obeyed the same major ecological power-law relationships but did so with parameters speci
224 the model, which are characterized by quasi-power-law release profiles with exponents ranging from 0
226 his viscoelastic behavior, which affects the power-law response of these cells when indented by an at
227 ple extension of the prevailing viscoelastic power-law response theory with a plastic element correct
229 wall-less plant cells exhibit the same weak power law rheology as animal cells, with comparable valu
230 for example, standard linear solid (SLS) or power-law rheology (PLR), best suits the experimental da
232 he complex behaviour of our model, including power-law rheology and non-diffusive bubble motion and a
233 e observe that time-dependent strain follows power-law rheology, enabling single-cell measurements of
235 loss on the number of species, we extend the power-law SAR to the species-fragmented area relationshi
236 pollution, like other urban properties, is a power law scaling function of the population size: NO2 c
237 that the mechanism of the observed multiple power law scaling has classical origins due to a combina
238 ), and particle displacement events having a power law scaling in magnitude, as found in earthquakes.
240 e approximate validity of Kleiber's law, the power law scaling of metabolic rates with the mass of an
241 e and population density generally follows a power law scaling, and within a population, density-corr
243 scalp and intracranial data hence show that power-law scaling behavior is a pervasive but neuroanato
245 All three types of chromatin domains exhibit power-law scaling between their physical sizes in 3D and
247 uctures as evidenced by a surprisingly small power-law scaling exponent (0.22) between the radius-of-
248 CRSS depends on pillar size with an inverse power-law scaling exponent of -0.63 independent of orien
252 of dwell time on DNA length reveals a single power-law scaling of 1.37 in the range of 35-20,000 bp.
253 t these bursts have fractal properties, with power-law scaling of burst sizes across a remarkable 5 o
255 -Zurek theory, namely the homogeneous-system power-law scaling of the coherence length with the quenc
256 Our model demonstrates that the observed power-law scaling of the mean displacement and the behav
257 y for PPII structure are linked via a simple power-law scaling relationship, which was tested using t
258 ibble-Zurek mechanism (KZM) and the obtained power-law scaling verifies the main prediction of KZM.
259 ive phase with an enclosed loop area showing power-law scaling with respect to the quench time, which
268 strate that single-crystalline Li exhibits a power-law size effect at the micrometer and submicromete
269 ally, there is a discrepancy between iceberg power-law size-frequency distributions observed at glaci
270 The power source is constrained to have a power-law slope of -1.2 +/- 0.3, consistent with radioac
272 Consistent with theory, we find evidence of power-law statistics in the tail of C. crescentus cell-s
275 field-a "softness field"-is considered, this power law tail manifests itself by highly localized spot
277 he passages of consecutive bodies exhibits a power-law tail with an exponent that depends on the syst
280 ergy spectra at large spatial scales exhibit power laws that are not universal, but depend on both fi
281 emergence of nontrivial modifications of the power laws that govern noncovalent interactions at the n
286 related stiffening of the material follows a power law, typical of the mechanics of nonthermal bendin
287 nonnegative measurements via an approximate power law: variance g approximately a [Formula: see text
288 Finally, we compared the convergence of our power-law versus classical diversity estimators such as
289 We studied the effects of non-Markovian power-law voltage dependent conductances on the generati
291 correlations that decay exponentially or as power laws, where the latter functions generate anomalou
292 of 23 or more for the length-volume scaling power law, whereas approximately 90% of the control subj
293 nsity of the scattered light diverges with a power law, whereas the intensity time autocorrelation fu
294 to scale with the protein concentration as a power law, whose exponent has been used to infer the pre
296 wave) excitation intensity is described by a power law with exponents sequentially taking values 1, 1
298 ng ellipses but also predicted a spectrum of power laws with exponents ranging between 0 and -2/3 for
299 at the frequency distributions of states are power laws with exponents that coincide with the multipl
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