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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),
15                                  Conversely, power law adaptation modifies an electroreceptor afferen
16 hat the dimensions of dike intrusions obey a power law analogous to the Gutenberg-Richter relation, a
17                                  We derive a power law and analyse supercritical scaling exponents in
18 ide parameter range and with Gaussian white, power-law, and Ornstein-Uhlenbeck noise.
19 dard viscoelastic model and compare with the power-law approach.
20 s empirical forms, we contend that truncated power laws are natural candidates.
21                             These allometric power laws are often invariant across taxa and have long
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
25                 Empirical evidence exists of power laws associated with the number of species inhabit
26              We, therefore, have developed a power-law based estimator to measure allele and haplotyp
27                           This suggests that power-law based estimators offer a valid alternative to
28                            As a consequence, power-law behaving conductances result in an increase in
29 en the voltage trace and the activity of the power-law behaving gate variable.
30 enerate action potentials with the different power-law behaving gates.
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
36 ng dynamics and explains the exponent of the power law behavior.
37 getation clusters in the Everglades exhibits power-law behavior and such behavior is often associated
38                 Such processes can result in power-law behavior in which the membrane voltage cannot
39               However, a strongly correlated power-law behavior is observed between the luminosity an
40 intermediate quench velocities, we observe a power-law behavior of the coherence length, reminiscent
41 f the scattering profile exhibits a scaling (power-law) behavior with respect to molecular mass.
42 exponents as previously proposed in critical power law behaviors.
43 istributions conformed strongly to predicted power-law behaviour.
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,
46                                         This power-law captures the complex, variable processes under
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
53 ly linear sensing, addition, ratiometric and power-law computations.
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
56                        Qualitatively similar power-law correlations were also observed in surrogate d
57 ence along all directions, whereas no simple power law could describe the temperature dependence of t
58 d professional musicians exhibit scale-free (power law) cross-correlations.
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
61  and trapped holes, which exhibits a t(-1/2) power-law decay at long times.
62  order parameter approaches a constant via a power-law decay, which may support a dynamical topologic
63 tributions measured in this region exhibit a power-law decay.
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
67                                          The power law dependence of Ho3N@C80(q+), q = 1-2, was found
68                                          The power law dependence of the melting temperature increase
69                Numerical work has proposed a power law dependence of those energy drops.
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
73        Of these sites, 11 exhibit a negative power-law dependence of bedrock river incision rate on m
74                                          The power-law dependence of metabolic rate on body mass has
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
79 ntensity I can be included in the model in a power-law-dependent relationship M(I).
80 ll three flows obey the same Reynolds number power laws derived for homogeneous turbulence.
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
83 onal avalanches, whose size and duration are power law distributed.
84 vy flight characteristics and behaviour with power-law distributed jump size.
85 ging behaviors display movement lengths with power-law distributed tails, characteristic of Levy flig
86          Lake surface areas >/=8.5 km(2) are power-law distributed with a tail exponent (tau = 1.97)
87 , in which flight step lengths are typically power-law distributed, provides a relatively simple yet
88                     Lakes <8.5 km(2) are not power-law distributed.
89                             We report on the power law-distributed deformation behaviour and the obse
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
92  log-normal distribution near the mean and a power law distribution at the tail.
93 og-normal distribution around the mean and a power law distribution in the tail.
94 ased while a change from an exponential to a power law distribution of APT from basal to upper trophi
95             We argue that the existence of a power law distribution of frequencies of components is a
96 ss-of-fit methods showed the data followed a power law distribution over the relevant range.
97 patial power spectral densities conform to a power law distribution with some nonlinear variations.
98 urns) taken by foragers are well fitted by a power law distribution.
99                 Small lakes deviate from the power-law distribution because smaller lakes are more su
100         Using this approach, we found that a power-law distribution described nonspecific binding of
101                            This results in a power-law distribution for the cell size, with an expone
102 t of a cascade characterized by an isotropic power-law distribution in momentum space.
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
107            The sizes of communities follow a power-law distribution, which indicates that the binding
108 ed by a lognormal distribution rather than a power-law distribution.
109 atency and high inter-spike variability with power-law distribution.
110  the observed clone sizes follow a universal power-law distribution.
111              Our results suggest that though power-law distributions do not accurately reflect human
112             It is characterized by universal power-law distributions in on- and off-times as well as
113 oodness-of-fit tests found that even bounded power-law distributions only accurately characterized mo
114                              We characterize power-law distributions, entropy, and Kullback-Liebler d
115 s is finite, and extended regions of bursty, power-law dynamics are observed.
116 e plastic deformation that displays the same power-law dynamics as the fully reversible viscoelastic
117                   To implement slow-adapting power-law dynamics of the gating variables of the potass
118                                            A power-law emerged describing an orderly relation between
119  high shear rates (>500 s(-1)), at which the power law exponent (n) of zebrafish blood was nearly 1 b
120 vity during the resting state indexed by the Power Law Exponent (PLE) in PostCG and AI.
121                                  The inverse power law exponent of 1/f-type noise is shown to decreas
122  the branching parameter was close to 1, the power law exponent was -3/2.
123 ts power law behavior for the rates with the power law exponent, an effective state space dimensional
124  stretching-dominated and characterized by a power-law exponent 1/2.
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
127 rements of apparent elastic modulus, Ea, and power-law exponent, beta.
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
131 (-beta), where spectral power decreases in a power-law fashion with increasing frequency.
132 hic transfers vary by orders of magnitude in power-law fashion.
133                     We find that the neutral power law fits with high precision 323 of 904 cancers fr
134  motion of dislocations and, then, introduce power-law flow rules.
135                                A model where power-law fluctuations of the alpha envelope inhibit bas
136                               By fitting the power-law fluid model to the travel distance of blood th
137 ithmic for 12, power law for 7, and modified power law for 2 using WBN data and were linear for 9, qu
138  for 25, cubic for 2, logarithmic for 6, and power law for 4 using PN data.
139 tic for 13, cubic for 6, logarithmic for 12, power law for 7, and modified power law for 2 using WBN
140                   The analysis confirmed the power law for drawing ellipses but also predicted a spec
141 tes in Ho3N@C80 is responsible for the n = 3 power law for singly charged parent molecules at intensi
142           Moreover, it predicted mixtures of power laws for more complex, multifrequency movements th
143 oencephalogram-derived cascades to reference power laws for task and rest conditions.
144 n are associated with increased proximity to power law form of cascade distributions.
145 ate cascades are associated with approximate power law form, the task state is associated with subcri
146 associated with the amount of deviation from power law form.
147 iscoelastic models and the paradigmatic weak power law found to interpret the viscoelastic properties
148                                          The power law function is found to be independent of factors
149                           W is shown to be a power law function of P with scaling exponent X [demogra
150                           G is shown to be a power law function of P with scaling exponent Z [group c
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.
153                           C is shown to be a power law function of W with scaling exponent Y [conflic
154 spatial variance in population density was a power-law function of mean body mass).
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
158              Microbiota stability followed a power-law function, which when extrapolated suggests tha
159 etry, by modeling nonspecific binding with a power-law function.
160 bundances are better described as nonlinear, power-law functions of microbial cell abundances.
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
163              We demonstrate that the precise power-laws governing the cascading activity of neuronal
164 signals across sensory modalities decay as a power law (i.e., as 1/f(alpha)), we found that this did
165                                   We found a power-law improvement in performance with stimulus area,
166 namics are identified by two measures: (1) a power law in the size distribution of activity cascades
167 ow a viscoelastic deformation that follows a power law in time.
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
175 volutionary model with an empirically common power-law insertion/deletion length distribution.
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.
182                                          The power law model fitting, as well as spectra, for the lin
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
185  and can be characterized by a two parameter power-law model.
186          For the lung data, the Gompertz and power law models provided the most parsimonious and para
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
189 either comply with or violate the two-thirds power law of motion).
190 ided by nitrate concentration) declines as a power law of nitrate concentration in a stream.
191 entrations in surface precipitation follow a power law of precipitation depth that is modulated by pr
192       The size of the droplets scales with a power law of the ratio of viscous stresses in the two AT
193  relationship as well as changes in the weak power law of the viscoelastic moduli.
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
200                  Furthermore, the value of a power-law parameter depends on the particular host-bacte
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.
207  eroding surface was well represented by the power-law (R(2) > 0.77).
208            The pdf exhibits an approximately power-law range where probability density drops slowly w
209                             The exponents of power-law regimen neuronal avalanches and LRTCs were str
210 0 interacting nodes and find that there is a power-law relating environmental imperturbability and ge
211                         Our model leads to a power law relation between the critical strain at failur
212 ficients, D, and the exponent of the inverse power-law relation between D and the molecular mass of t
213                          We also derive this power-law relation theoretically by incorporating clonal
214                       We identify consistent power-law relations truncated by systematic pressure-dep
215     Diffusion coefficients were modeled by a power law relationship as a function of dextran molecula
216                                   However, a power law relationship between node betweenness centrali
217    Finally, our data showed that there was a power law relationship between the coverage territory an
218  a function of spatial volume exhibits a 3/4 power law relationship.
219              Halley et al. purport to show a power-law relationship between fragment size and relaxat
220 n efficiency for small molecules is a simple power-law relationship to the log P value.
221                                    From this power-law relationship, the cell elasticity and fluidity
222 communities obeyed the same major ecological power-law relationships but did so with parameters speci
223 c) of animal species affect major ecological power-law relationships?
224  the model, which are characterized by quasi-power-law release profiles with exponents ranging from 0
225                                     A single power law reproduces the 50-fold variation of viscosity
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
228 ous mechanism for the emergence of truncated power law return times.
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
231                                              Power-law rheology and collapse onto a master curve are
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
234 acellular microenvironment of the bead obeys power-law rheology.
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.
239  in deviations from criticality and from the power law scaling of avalanche size distribution.
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
242 ado-related atmospheric proxies show similar power-law scaling and multiplicative growth.
243  scalp and intracranial data hence show that power-law scaling behavior is a pervasive but neuroanato
244 echanisms and, as such, control the dominant power-law scaling behavior.
245 All three types of chromatin domains exhibit power-law scaling between their physical sizes in 3D and
246 ethal-effect toxicity plots and fit temporal power-law scaling curves to the data.
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
249                                     The mean power-law scaling exponents of metabolic rate vs. body m
250 ent timescales can be characterized by their power-law scaling exponents.
251 h compartment should be tuned according to a power-law scaling in the compartment size.
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
254                              The observed TL power-law scaling of outbreak severity means that extrem
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
260            The area of the structure obeys a power-law scaling with the number of spheres.
261  constitute the strongest deviation from 1/f power-law scaling, the signature of LRD.
262                                Such multiple power law scalings can lead to surprising mode specifici
263  quantum IVR dynamics and show that multiple power law scalings do manifest in the system.
264                            The length-volume power law showed coefficients of 27.0 cm(-4/3) +/- 9.0 (
265 ascade-like neuronal avalanches that exhibit power-law size and lifetime distributions.
266        Those left in the understory follow a power-law size distribution, the scaling of which depend
267 ameter-dependently by power-law or truncated-power-law size distributions.
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
271 l is non-Markovian and it displays long-tail power law statistics.
272  Consistent with theory, we find evidence of power-law statistics in the tail of C. crescentus cell-s
273  newborns in the adder phase itself exhibits power-law statistics.
274  current without a threshold and follows the power-law T(n) with n ranging from 1.5 to 2.5.
275 field-a "softness field"-is considered, this power law tail manifests itself by highly localized spot
276        Given time, this mode gives rise to a power-law tail of large teams (10-1,000 members), which
277 he passages of consecutive bodies exhibits a power-law tail with an exponent that depends on the syst
278              The injection dynamics reveal a power-law tailed distribution of injection event sizes a
279             Probability distributions having power-law tails are observed in a broad range of social,
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
282                 The phase variance follows a power law time dependence, with an exponent determined b
283            We used log-log regression of the power law to evaluate allometric scaling for these movem
284                               Using Taylor's Power Law to integrate field and laboratory data, we fou
285 eads to exponential tumor growth in lung and power law tumor growth in breast.
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
290                               This observed "power law" was explained by a mechanism where nondividin
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
295 ell types and that sorting dynamics follow a power law with an exponent of approximately 0.5.
296 wave) excitation intensity is described by a power law with exponents sequentially taking values 1, 1
297 defined SSR processes and is able to produce power laws with arbitrary exponents.
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
300 pling theory to compare the measured dynamic power laws with those of hard-sphere models.

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