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1 RNA raised to the power of an 'amplification exponent'.
2 engths, but each type has a distinct scaling exponent.
3 ximate entropy, fractal dimension, and Hurst exponent.
4 ates a negative value in the LLK scaling-law exponent.
5 Golden Mean [Formula: see text] as dynamical exponent.
6 ly 2 regardless of the underlying population exponent.
7 tic process, including its anomalous scaling exponent.
8 e systems with a spatially varying anomalous exponent.
9 ases proportional to population raised to an exponent.
10 1 + nu, respectively, where nu is the Flory exponent.
11 are characterized by a continuously varying exponent.
12 ased more steeply, corresponding to a higher exponent.
13 the mRNA level and defines the amplification exponent.
14 s diffusion models with adjustable anomalous exponents.
15 sition and compatible values of the critical exponents.
16 be characterized by their power-law scaling exponents.
17 t support the hypothesis of fixed allometric exponents.
18 s, exact knowledge of the universal critical exponents.
19 observables, governed by universal critical exponents.
20 ethods, all results were normalized to Hurst exponents.
21 eaningful taxonomic heterogeneity in scaling exponents.
22 odel we manage to explain the novel critical exponents.
23 m critical point, and constrain the critical exponents.
24 can be classified according to few critical exponents.
25 is able to produce power laws with arbitrary exponents.
26 each characterized by its specific critical exponents.
27 lations, with only three independent scaling exponents.
28 ed by a surprisingly small power-law scaling exponent (0.22) between the radius-of-gyration and Q-len
29 ltiscale correlation of SERCA group (scaling exponent: 0.77 +/- 0.07), on the other hand, is weaker t
33 spectrum of cosmic rays, with the universal exponent -2, which is independent of the multiplication
34 severe sensitivity to a stem cell expansion exponent (20% variation causing 2-fold turnover change)
35 t rate and wingbeat frequency (raised to the exponent 3.5) and estimated metabolic power and wingbeat
36 be recognized by a power-law dependence with exponent 3/2 of the shear modulus on stress, whereas the
39 on only the crown area-to-diameter allometry exponent: a well-conserved value across tropical forests
40 s is because the aerosol absorption Angstrom exponent (AAE) largely controls the color and larger par
42 organic aerosol with an absorption Angstrom exponent (AAE) of 2.5-2.7 and estimated Brown Carbon con
45 al depth, AOD), dominant size mode (Angstrom exponent, AE), and relative magnitude of radiation scatt
46 xample, the specific values of the dynamical exponent allow us to identify the relevant mesoscopic st
47 to claims that Levy flights with a critical exponent alpha = 1 are optimal for the search of sparse
48 face exhibit transient subdiffusion, with an exponent alpha approximately 0.5 for times of less than
49 - D)) is valid, however for 1.5 < D < 2, the exponent alpha is different and equal to 2(D - 1)/D.
51 function of the normal contact load with an exponent alpha within the whole range of fractal dimensi
52 of variation of PEF (CVpef) and the scaling exponent alpha, reflecting self-similarity of PEF, in re
54 Kardar-Parisi-Zhang (KPZ) model with scaling exponents alpha = 0.71 +/- 0.12, beta = 0.36 +/- 0.03, a
56 ched exponential modeling (ADCSE), anomalous exponent (alpha) obtained at stretched exponential DWI,
57 exponential and segmented scaling laws with exponents (alpha) typically between 0.85 (Horwitz) and 1
58 anisms are expected to yield the same growth exponent, alpha = 1/3, where domain radius grows as time
61 scaling theory (MST) posits that the scaling exponents among plant height H, diameter D, and biomass
62 aw behavior for the rates with the power law exponent, an effective state space dimensionality, being
63 ive diagnosed from health, by characteristic exponent analysis of pulse signals accessed from volunte
64 Specifically, the values of the mean MSD exponent and effective diffusion coefficients can be tra
65 a discrepancy between the observed power-law exponent and that predicted from the noise parameters.
68 Our statistical approach allows mean scaling exponents and taxonomic heterogeneity in scaling to be a
69 ion d + zLambda(T), where z is the dynamical exponent, and temperature-depending parameter Lambda(T)
70 lley transitions, effective mass, scattering exponent, and the Fermi energy may deteriorate or amelio
71 endence of diffusion coefficients, anomalous exponents, and the effective viscosity experienced by bi
75 ngth [Formula: see text] Mean-field critical exponents are predicted, since the upper critical dimens
79 ymptotes to zero with no need to fit unknown exponents as previously proposed in critical power law b
86 of measurements is distributed in space, the exponent b of this power law is conjectured to reflect a
88 t a broad range of values for the population exponent b pertaining to the mean and variance of popula
90 -dependent and (2) at a community level, the exponents b and d of the relationships N ~ M (b) and N ~
92 ralized TL in terms of sample and population exponents b(jk) for the scaling of the kth vs. the jth c
93 i's fractal dimension, and generalized Hurst exponent based estimates were most successful by all cri
95 where Tc is the critical temperature and the exponent beta was close to (1/4), as predicted for a tri
96 ed ferromagnetic region yields 3D Heisenberg exponents beta = 0.3460 +/- 0.040, gamma = 1.344 +/- 0.0
98 d city population, with allometric power-law exponents, beta = 0.84 +/- 0.02 and 0.87 +/- 0.01, for a
100 f a difference in the values of the critical exponents between the bond and site percolation models i
101 s, and leaf mass) the empirically calculated exponents broadly overlapped among species from diverse
102 the refractive indices can vary the Angstrom exponent by up to 0.1 across the range 310 to 550 nm.
103 rom 20 human subjects, we calculated scaling exponents by four methods-two derived from local propert
105 When approaching a detection limit, the exponents change and approach an apparently Gaussian (al
107 es a connection between the Herschel-Bulkley exponent characterizing the singularity of the flow curv
109 flux distribution, which links the critical exponents characterizing the spatial dependencies in hum
111 e anisotropy exponent zeta and the roughness exponents chix,y that characterize these correlations.
112 rameter oscillating around unity, a critical exponent close to -3/2 and a long tail distribution of a
114 at percent body fat scales to height with an exponent closer to 3, we therefore focused on the tri-po
116 found that on populated islands size spectra exponents decreased (analogous to size spectra steepenin
117 bined, leaf vs stem and leaf vs root scaling exponents decreased from c. 1.00 for small plants to c.
118 ut that simply inserting asymptotic critical exponents deduced from the immediate vicinity of the cri
119 iently anomalous diffusion and the anomalous exponent depend on the size of model glomeruli and the d
120 f(beta), where beta is the power-law scaling exponent describing the decay in temporal correlations.
121 follows a power law time dependence, with an exponent determined by the 1/f-type resonator frequency
123 act power laws, p(x) ~ x(-lambda), where the exponent directly corresponds to the mixing ratio of the
126 ics near the transition and obtain universal exponents establishing connection between thermal soften
128 theories predict that combinations of these exponents explain how metabolic, growth, and other biolo
129 any known relationships between the critical exponents explored by them, despite the fact that they o
130 l gamma = (d + z - 2)/z, where the dynamical exponent for a ferroelectric z = 1 and the dimension is
131 ly lower offset and a possible change in the exponent for Alzheimer's disease subjects compared with
136 ely correlated with their associated scaling exponents for D vs. V and H vs. V, whereas normalization
137 diverse environments, except for the scaling exponents for length, which increased with tree cover an
139 h length change across branching orders, and exponents for scaling metabolic rate with plant size (or
140 c, and 'global' (i.e. interspecific) scaling exponents for several allometric relationships using tre
143 near features (approximate entropy and Hurst exponent) for the first time to explore post-concussive
144 particular, more ballistic Levy flights with exponent [Formula: see text] are generally believed to o
145 , whose density is described by a nontrivial exponent [Formula: see text] We build a microscopic theo
146 diffusive universality class with dynamical exponent [Formula: see text], another prominent example
148 comitant increase in the absorption Angstrom exponent from 1.2 +/- 0.4 (5% RH) to 1.6 +/- 0.3 (70% RH
149 ntly, we show that the 3/4 metabolic scaling exponent from Kleiber's Law can still be attained within
151 traits (radii/lengths) and calculate scaling exponents from five functionally divergent species.
154 ecreasing average droplet size and was of an exponent function of size, indicating that the influence
155 ional, variant T(-) (gamma) , with the power exponent gamma = 1.4 +/- 0.1 in the cubic phase, indicat
159 an interactions with population size with an exponent gamma ranging between 1.11 and 1.21, as observe
161 also fitted a power law distribution (degree exponent gamma=2.3), which suggested that progestin and
162 s a crucial role in determining the critical exponents governing universal nonequilibrium dynamics in
164 and extruded flours exhibited higher fractal exponent h in agreement with the extended crystalline st
168 protein concentration as a power law, whose exponent has been used to infer the presence or absence
169 me-averaged optical coefficients, scattering exponent, hemoglobin concentration, oxygen saturation, a
170 on (EC) mass fraction, mass-mobility scaling exponent, hygroscopicity, and light absorption and scatt
172 us to give a precise meaning to the scaling exponent in terms of the degree to which a given process
173 ss implications of the changes in offset and exponent in the data and relate it to existing literatur
174 We suggest that calibration of the repulsive exponent in the LJ potential widens the range of applica
176 roughout the neocortex with distinct scaling exponents in different functional brain systems and freq
177 allow us to explain a wide range of scaling exponents in frequency distributions ranging from alpha
179 how signs of kinks: clear changes in scaling exponent, indicating changes in the dominant molecular m
180 e observed variability of ecological scaling exponents into a coherent statistical framework where pa
181 in a broad class of growth models the sample exponent is b approximately 2 regardless of the underlyi
185 a Levy walk whose characteristic (power-law) exponent is tuned to nearly minimize the time required t
186 and temporal domains with the same algebraic exponent, is reproduced with numerical solutions of stoc
189 agonists (E(0)) and the affinity-correlation exponent (M)--allows an entire CRC to be calculated from
191 that can be quantitatively evaluated by the exponent n (ca. 3) of the temperature dependence of the
193 r rates (>500 s(-1)), at which the power law exponent (n) of zebrafish blood was nearly 1 behaving as
197 ions and allowed the estimation of the Flory exponent (nu) of the thermally unfolded polypeptide chai
199 ometer length scales, with the strengthening exponent of -0.68 at room temperature and of -1.00 at 90
200 ze distribution of activity cascades with an exponent of -3/2 and (2) a branching parameter of the cr
201 in translation and directs an amplification exponent of 1.20 with a 95% confidence interval [1.14, 1
205 Our results reveal a power function with an exponent of 2.2 between the amplitude of uIPSCs and intr
206 tes were not spherical, with a mass-mobility exponent of 2.78, so additional SOA was required to fill
207 7), which tallies with a dipolar interaction exponent of 2/3 in EC materials and the well-proven frac
210 s scale sublinearly with consumer body mass (exponent of approximately 0.85) for 2D interactions, but
211 .85) for 2D interactions, but superlinearly (exponent of approximately 1.06) for 3D interactions.
213 ther observe an unprecedented sixfold-higher exponent of growth rate, faster onset, higher steady-sta
214 olve this problem by considering the scaling exponent of shell thickness as a morphological parameter
216 c modulus E and fluidity beta (the power-law exponent of the cell deformation in response to a step c
217 the decay in autocorrelation and the scaling exponent of the detrended fluctuation analysis from EEG
219 haviour by correctly predicting the critical exponent of the dynamically generated length scale at th
220 leaky integrate-and-fire model in which the exponent of the fractional derivative can vary from 0 to
222 e aqueous diffusion coefficients, D, and the exponent of the inverse power-law relation between D and
223 al expression for the instantaneous collapse exponent of the macroscopic concentration profiles.
226 t seems likely that synchrony influences the exponent of TL widely in ecologically and economically i
227 istical power law behaviour, Zipf's law, the exponent of which can provide useful information on the
229 ly, the lower the individual subject scaling exponents of delta/theta oscillations, the greater the c
233 e the difference in time scales, the scaling exponents of neuronal LRTCs and avalanches were strongly
234 ey fail to predict the correct values of the exponents of power-law degree distributions observed in
239 dent process, in the sense that the critical exponents of the transition are determined by the geomet
241 We demonstrate that the stationary critical exponents of this transition to meso-scale turbulence in
245 ted with a higher short-term fractal scaling exponent (Ptrend=0.003) and lower Poincare ratio (Ptrend
246 also predicted a spectrum of power laws with exponents ranging between 0 and -2/3 for simple movement
247 d V(T) with a set of 30 basis functions with exponents ranging from 0.0175 to 1.9 (R(2), 0.79; ICC, 0
249 ifferentiation operation on their input with exponents ranging from zero (no differentiation) to 0.4
250 tic attractor, along with a maximal Lyapunov exponent rate of about 2.94 times the fundamental optome
251 a fat-tailed distribution, with a universal exponent related to the recently observed universal [For
253 m the naive prediction based on the critical exponents relevant for asymptotically long quench times.
256 n intensity is described by a power law with exponents sequentially taking values 1, 1/3 and (1/4).
257 scillations as a function of the correlation exponent shows a maximum, therefore indicating the exist
258 1-Ho also exhibits an anomalously low Raman exponent similar to 1-Dy, both being distinct from the l
260 periodicity of about 2 y, a global Lyapunov exponent statistically indistinguishable from zero, and
261 d 200 degrees C exhibits a positive Lyapunov exponent, suggesting that the underlying dynamics is cha
262 ing noise systems, and the measured Lyapunov exponent suggests the existence of highly branched EPS.
263 ficiencies of 2-D Levy walks with a range of exponents, target resource distributions and several com
264 km(2) are power-law distributed with a tail exponent (tau = 1.97) and fractal dimension (d = 1.38),
266 ze savanna trees have greater length-scaling exponents than predicted by MST due to an evolutionary t
267 higher subdiffusive mean square displacement exponents than previously reported, which has implicatio
268 -law distribution for the cell size, with an exponent that depends inversely on the noise in the time
271 ally ordered phase) is marked by a universal exponent that governs the scaling of the critical temper
272 istinguishable from zero, and local Lyapunov exponents that alternated systematically between negativ
273 tion rates, our analysis yields species-area exponents that are in close agreement with previously ob
275 distributions of states are power laws with exponents that coincide with the multiplication paramete
276 ied electric current and determined critical exponents that coincided with those for thermodynamic li
277 well approximated by the power law, but with exponents that depend on that rate, and that are quite d
278 dex alpha fixes the distribution's power-law exponent, that for the dual index 2 - alpha ensures the
280 y be expressed in terms of three independent exponents, theta, df, and z, characterizing, respectivel
281 We propose the inference of the repulsion exponent through Hierarchical Bayesian uncertainty quant
282 pectral shape causes the absorption Angstrom exponent to decrease by 0.18 per unit increase in pH.
286 e found a large variability of the anomalous exponent, used to interpret live cell imaging trajectori
290 appears to be ubiquitous, empirical scaling exponents vary with ecosystem type and resource supply r
291 teps drawn from a Levy distribution with the exponent varying from [Formula: see text] to [Formula: s
294 bispectrum, as well as the dominant Lyapunov exponent, were extracted and considered as input feature
295 ricritical scaling characterized by a set of exponents which is independent on the protection strateg
297 to be a power law function of P with scaling exponent X [demographic conflict investment (DCI)].
300 determine the exact values of the anisotropy exponent zeta and the roughness exponents chix,y that ch
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