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1  solving the process in a pseudo-first order approximation.
2 ucture and according to the effective medium approximation.
3 es from ancestry components using a Gaussian approximation.
4 r centrosymmetric materials under the dipole approximation.
5  spectra of quasi-cycles in the linear-noise approximation.
6 ng STICS correlation functions to a Gaussian approximation.
7  Hill, Adair) scenarios in the infinite-size approximation.
8 tor computation is first estimated by a fast approximation.
9  obtained by methods within Born-Oppenheimer approximation.
10 upling strength regimes beyond rotating-wave approximation.
11 nsional problem based on a 4-constituent BGE approximation.
12 ed with the classical non-embodied universal approximation.
13 kinetic models that go beyond the mean-field approximation.
14 polarization imaging using the single funnel approximation.
15 ltzmann transport method and relaxation time approximation.
16 scopy (EXSY) buildup curves and initial rate approximation.
17 s using an analytically solvable, well-mixed approximation.
18  the test statistic by using the saddlepoint approximation.
19 te that for FN networks this is a reasonable approximation.
20 velopment of the Gross-Pitaevskii mean-field approximation.
21 tterfly velocity in an extended random-phase approximation.
22 on derived with the total quasi-steady-state approximation.
23 l-based simulations and a heterogeneous node approximation.
24 reduced by deriving an exact QSS rather than approximations.
25 nformal mapping methods apply assumptions or approximations.
26 lk-based models and probabilistic analytical approximations.
27 th experimental results and effective medium approximations.
28 s currently only possible using fairly crude approximations.
29  and has been the subject of many subsequent approximations.
30 ely with reported functioning than binocular approximations.
31  all) than correlations with all 7 binocular approximations.
32 inner potential by simple algorithms without approximations.
33 fit with the data (root mean square error of approximation = 0.06; comparative fit index = 0.95; Tuck
34 eous emission and show how a straightforward approximation accurately describes the correlated electr
35                              We developed an approximation algorithm for estimating MIC(X1; X2; Y) wh
36 c polynomial-time hard problem and derive an approximation algorithm that yields a blocking where the
37  and implements an efficient constant factor approximation algorithm to solve it.
38  our novel maximum weight k-partite matching approximation algorithm.
39               Consequently, the Debye-Huckel approximation and Boltzmann distribution function were e
40 chnique, we constructed a cloak with similar approximation and directly detected its presence using t
41 ch includes scattering effects beyond Born's approximation and is remarkably efficient-opening up new
42 propose a hybrid approach by integrating the approximation and permutations to obtain accurate p-valu
43 erturbation combined with the quasi-harmonic approximation and the Klemens' equation is implemented f
44  coupled-mode theory under the tight-binding approximation and the rigorous band structure analysis b
45 CSs for all species (via both the projection approximation and trajectory method) were also compared.
46 of that scan is often hindered by inaccurate approximations and computationally intensive simulation.
47 ained from current density-functional theory approximations and from current functionals of the one-p
48  derived from a combination of Taylor series approximations and Monte Carlo simulation.
49                               Using analytic approximations and Monte-Carlo simulations, we demonstra
50 l energy functions built upon a hierarchy of approximations and on their ability to accurately reprod
51 s approximation with the previously obtained approximations and show that it yields a better estimate
52                                Consequently, approximations and simplifications must often be used wh
53  flanking a disordered loop (double sequence approximation) and incorporates flexibility in the nativ
54 with the Zhang formula and parabolic barrier approximation) and spin-dependent drift-diffusion model.
55 stion immediately arises: how good are these approximations, and in what ways can we evaluate them?
56 g constants calculated using DFT/B3LYP/pcJ-1 approximation applied to conformations optimized at DFT/
57 ination poses hurdles to a sequential Markov approximation, as it leads to strong correlations and li
58  steps and (111) terraces can to a very good approximation be computed as a weighted average of the r
59 e trapping to systematically explore spatial approximations between cysteines replacing each residue
60 introduce a new approach--the Bayesian Ising Approximation (BIA)-to rapidly calculate posterior proba
61  that emerge in parameter regimes where this approximation breaks down.
62 dition to the widely used Markov state model approximation, but uses only fundamental relations such
63 lly probabilistic models are reasonably good approximations, but new high-throughput methods allow fo
64      This was validated by testing predicted approximations by mutagenesis and residue-residue comple
65 at emotions may implement such metareasoning approximations by restricting the range of behaviors and
66 the integral over time was represented by an approximation calculated as the product of the time tl o
67 ng our experimental data with a random phase approximation calculation using the electronic structure
68                         We show that such an approximation can be constructed to arbitrarily high ord
69 -source dataset into three terms: a low-rank approximation capturing joint variation across sources,
70 nga-Kohn-Rostoker (KKR) - Coherent Potential Approximation (CPA) [KKR-CPA] calculations for the HEA s
71 both comprehensive numerical discrete dipole approximations (DDA) simulation and transmission spectro
72 itional Brown method and CKD method, the new approximation developed in this study (known as the KPS
73 e processes that guide the deployment of the approximations, discerning between innate, model-free, h
74      The global nature of the study required approximations (e.g., using exposures estimated among wo
75 en developed, for instance the excess buffer approximation (EBA), the rapid buffering approximation (
76 ovianity measures as means to reveal how the approximations either overestimate or underestimate memo
77                                          The approximation enables efficient calculation of p-values
78  changes (band shifts, deviation from linear approximation, etc.) for common sample parameters in the
79                              The first order approximation (FOA3) currently employed to estimate BC m
80 ncentration still adheres to the first order approximation (FOA3), and this agreement is maintained o
81                              In contrast, an approximation for delay representations result from esti
82 ictions of a representation that is based on approximation for delay, refuting an explicit delayed-st
83                    Using delayed-state or an approximation for delayed-state manipulations between vi
84 n distribution represented a very successful approximation for epsilona values where there was additi
85 for computationally cheap low-ensemble-state approximation for extremely high-dimensional turbulent f
86                                 The midpoint approximation for interval-censored exposures led to ove
87  centrosymmetric meta-atom designs where the approximation for meta-atoms breaks down.
88 ce wavelength, thus invalidating the dipolar approximation for meta-atoms.
89 he method extends the traditional Gutzwiller approximation for one-particle operators to the evaluati
90                    Herein we test the Condon approximation for PCET vibronic couplings.
91  tends to behave like the gradient expansion approximation for small reduced gradients.
92                      Here we derive a normal approximation for such word counts.
93                   Neutel & Thorne provide an approximation for the leading eigenvalue of a food web c
94                            Here we derive an approximation for the stability of food webs whose struc
95               We develop an individual-based approximation for the susceptible-infected-recovered epi
96                             We find a simple approximation for this effect and show that, in this reg
97 ing joint variation across sources, low-rank approximations for structured variation individual to ea
98 odel calculations based on the local-density-approximation formalism, taking into account Coulomb int
99                In addition, wavelet based CS approximations, founded on a new continuous CS approach,
100 rved at a tl of 96 h, with deviations of the approximation from the time integral of median +5% (rang
101            Tissue-specific deviations of the approximation from the time integral were calculated for
102                     The high accuracy of our approximation further allows us to detect the index indi
103  also performed, the current model with pair approximation generates similar community patterns espec
104 and VTe2 given from the generalized gradient approximation (GGA) are respectively 0.05, 0.22, and 0.2
105 on (LDA) as well as the generalized gradient approximation (GGA).
106 e in the development of generalized gradient approximations (GGAs) and meta-GGAs.
107  of errors shows that the slow-equilibration approximation guarantees that the errors in the rate con
108 nsitivity of diffusive cloaks to defects and approximations has not been analyzed.
109   Previously, a number of Ca(2+) nanodomains approximations have been developed, for instance the exc
110 lation) on locally tree-like networks, these approximations have been shown to be exact.
111    The correlation between time integral and approximation improved with increasing time tl Pearson r
112          These data will be used for a first approximation in clinical translation, although in patie
113 n electrons and ions relies on the adiabatic approximation in which ions interact via forces derived
114 mental insights, beyond the Born-Oppenheimer approximation, into the light-induced spin-state trappin
115 of this methodology with respect to both the approximations involved and the basis set size.
116 ure of the effect of the various choices and approximations involved in the process.
117 nal time versus ab initio DFT, creating such approximations involves significant manual intervention
118  dispersion relation and an effective medium approximation is also presented to obtain the same analy
119                      This embodied universal approximation is compared with the classical non-embodie
120 t already maximizes selectivity in the rigid approximation is continuously diminished with increasing
121  of state transition sites, an implicit site approximation is introduced to minimize the cost of simu
122 relatively small number of units, where this approximation is no longer valid.
123          The Maxwell-Garnet effective medium approximation is proposed to estimate thermal conductivi
124                              Although the GW approximation is recognized as one of the most accurate
125                             Thus, the Condon approximation is shown to be valid for the solvent and p
126                       The geometrical optics approximation is used to provide a description of the ra
127 ch can be treated with an independent system approximation (ISA), including proteins.
128 tio Korring-Kohn-Rostoker coherent-potential-approximation (KKR-CPA) calculations.
129 mpared with those based on the local density approximation (LDA) as well as the generalized gradient
130 ty functionals, from the basic local density approximation (LDA) to our most advanced general purpose
131 ity functional theory by applying systematic approximations, leading to efficient computational schem
132 mooth cylindrical pores using the centerline approximation leads to an optimum pore radius of about 8
133 or measurements after 24, 48, and 144 h, the approximation led to large deviations for some of the pa
134 uffering approximation (RBA), and the linear approximation (LIN), each valid for appropriate bufferin
135 ain limitations of the standard Linear Noise Approximation (LNA) to remain uniformly accurate for lon
136 t Index > 0.90 and Root Mean Square Error of Approximation < 0.08) and moderate (r, 0.37; non-accepta
137 script, we therefore consider moment-closure approximation (MA) and the system size expansion (SSE),
138                          This is because the approximations made to describe condensed matter or high
139 analytic solutions are obtained with certain approximations made.
140 ethod, Mixed model Association via a Laplace ApproXimation (MALAX), that is more computationally effi
141 tely normed (SCAN) meta-generalized gradient approximation (meta-GGA) to the density functional theor
142 tely normed (SCAN) meta-generalized gradient approximation (meta-GGA) within the density functional t
143  GKS band gaps from metageneralized gradient approximations (meta-GGAs) and hybrid functionals can be
144                 We use the Manifold Boundary Approximation Method (MBAM) as a tool for deriving simpl
145     We develop a penalized weighted low-rank approximation method (WPLA) for robust recovery of recur
146                           In addition to the approximation method our package provides numerous tools
147                         We have developed an approximation method that calculates TFEs of TM residues
148                   We applied the permutation approximation method to three public Parkinson's Disease
149 he size of the patterned holes by using a dc approximation method.
150            As an alternative, moment closure approximation methods generate equations for the time-ev
151 und to represent significant outliers to the approximation model are removed from the results, provid
152                       Here we develop a pair approximation model to explore species extinction risk i
153              By examining how and when these approximation models converge to simulation results, we
154       As such, pair- and neighbourhood-based approximation models have played a key role in linking f
155 a with the modeling based on Maxwell Garnett approximation modified for spheroidal inclusions, we obt
156 llel release of Abeta due to a change in the approximation of amyloid precursor protein (APP) and the
157                  We present a new stochastic approximation of biological oscillators that addresses t
158 estimation of peak pressure drops because of approximation of blood flow as a single streamline.
159  this template in fMRI data provides a close approximation of electrophysiological arousal.
160 s distributions are likely to provide a good approximation of freshwater fish sensitivity to climate
161 ent data informed model enables quantitative approximation of individual patients' disease history wi
162 tting a broken bone that allows for a better approximation of initial shape during healing processes
163 rmation after failure and return to a closer approximation of its original shape.
164 Formulating mathematical models for accurate approximation of malicious propagation in a network is a
165 sity suggests that diffusion is a good first approximation of movement in butterflies.
166                We have developed miniMDS, an approximation of multidimensional scaling (MDS) that par
167 al strategy is reported that provides a fast approximation of numerical solutions of differential equ
168 ization allowing for improved spatial-visual approximation of patient and image.
169 we propose an algorithm, named deterministic approximation of posteriors (DAP), which enables highly
170  simplification of reaction kinetics and the approximation of reactive zone location and mass flux re
171 two-state model of motor learning is a close approximation of sensorimotor learning, but it is unable
172 roach further extends recent progress in the approximation of so-called conditional sampling distribu
173 n factor, allowing effective non-destructive approximation of substrate added charge carrier density
174 the outcome and provides a valid test and an approximation of the causal effect.
175 to the sequential Markov coalescent (SMC)-an approximation of the coalescent with crossover recombina
176                               The mean-field approximation of the discrete process gives rise to 22 d
177 ent model becomes an increasingly inaccurate approximation of the discrete time Wright-Fisher model (
178 up provided dynamic homogeneity and a closer approximation of the dynamics observed in the control gr
179 for this reaction in water (as a first-order approximation of the enzymatic reaction) are evaluated b
180 e, taum, was calculated from a 3-exponential approximation of the FAF decays.
181 rences to create a computationally efficient approximation of the full biophysical model.
182  enormous number of branches(2), but even an approximation of the full scale of the tree has remained
183 parameters was found to provide an excellent approximation of the global minimum and yields highly co
184                            A highly accurate approximation of the hydrodynamic function is introduced
185 differentiation efficiency and more accurate approximation of the in vivo hepatocyte gene expression
186                              To this end, an approximation of the log-rank test has been systematical
187  niche models can provide a reasonable first approximation of the magnitude of species' potential ran
188              Lastly, we present a mean field approximation of the newly introduced models.
189 sal cavity to expand this region and prevent approximation of the palatal shelves.
190 equence data in a Bayesian framework and the approximation of the posterior distributions of the unkn
191 est fits the data with RF and postponing the approximation of the posterior probability of the select
192 ency of at least 50) and (iv) it includes an approximation of the posterior probability of the select
193  a highly accurate and efficient saddlepoint approximation of the test.
194 re protein mass, dark field imaging gives an approximation of the total mass of protein present in an
195 ng the measured data and one a model-derived approximation of the true generative regressor.
196 these OSN counts in order to obtain a closer approximation of the true OSN numbers.
197                  Science is our best current approximation of the way things work.
198 lmark of Alzheimer's disease; thus, physical approximation of this substrate-enzyme pair is a crucial
199 d search to prioritize loci testing based on approximations of a test statistic for pairs of locus gr
200                                The binocular approximations of binocular visual function were better
201 effectiveness of various simplifications and approximations of existing frailty phenotypes for risk p
202       Our findings can be used to make first approximations of future habitat change for species with
203 of each atom in a protein based on classical approximations of interatomic forces, giving researchers
204       All such methods are limited to coarse approximations of only a few cell subpopulations, howeve
205 colloidal particles are often poor geometric approximations of the digital building blocks used in si
206 nals producing better energies become better approximations of the exact functional.
207 rimental observations in general and provide approximations of the respective stabilities.
208  static localized networks are superordinate approximations of underlying dynamic states.
209  correlated significantly with all binocular approximations of VF, with r values ranging from 0.31 (w
210 EI VFQ-25]) and binocular tests or binocular approximations of visual function.
211 on of the porous structure directly, without approximation or complex calculation.
212 e Hartree-Fock, semilocal density functional approximations, or semiempirical molecular orbital (MO)
213 atomistic simulations using binary collision approximation over the same ion/target combinations were
214 g memory (P = .38 [root-mean-square error of approximation, P < .001] by chi2 test), supporting the c
215                         Within local-density-approximation plus dynamical mean-field theory (LDA+DMFT
216          Here we apply a recent random-phase-approximation polymer theory to investigate how the tend
217 developed an efficient and accurate p -value approximation procedure using analytical decomposition o
218         The method is articulated in various approximation protocols which allow to achieve increasin
219 lution of reaction-diffusion equations, such approximations proved useful in revealing the dependence
220 his stochastic model, based upon a diffusion approximation, provides an alternative to neutral models
221 d calculated by the projection superposition approximation (PSA) method.
222 range: .929-.968; root mean squared error of approximation range: .032-.052).
223                         MALAX uses a Laplace approximation rather than MCMC based approximations, whi
224 fer approximation (EBA), the rapid buffering approximation (RBA), and the linear approximation (LIN),
225    We compare experimental (and random phase approximation) reference values to those of a family of
226 ea is used with a feed-forward/feed-backward approximation representing the organ of Corti cytoarchit
227 many-body dispersion (MBD), and random-phase approximation (RPA) approaches).
228 vious studies are based on the rotating-wave approximation (RWA) by neglecting the counter-rotating t
229 rporates the improved small-angle scattering approximation (SAA) to radiative transfer for sub-diffus
230 sis to construct a satellite-based column BC approximation (sBC*) over remote oceans.
231                                While various approximation schemes for the QSS have been developed, t
232                                   As a first approximation, sensors inside the myocyte appear to modu
233 ed general purpose meta-generalized gradient approximation, strongly constrained and appropriately no
234 that are not quantified adequately by linear approximations such as means and standard deviations.
235 aces and caution against the use of additive approximations, such as the commonly used surface area m
236 earning has emerged as an efficient function approximation technique for high-dimensional spaces, and
237 ncreases with trophic level, exploiting pair-approximation techniques to describe the effect of habit
238            We show that the popular Gaussian approximation tends to perform poorly under extreme dive
239  Perdew-Burke-Ernzerhof generalized gradient approximation tends to underestimate both surface energi
240 lower computational cost and involving fewer approximations than the incidence maps produced by mains
241                 We derive here an asymptotic approximation that accurately matches results from numer
242 ng a signal-to-background ratio (SBR) is the approximation that can lead to much poorer LOD specifica
243       We use a mean-field quasi-renewal (QR) approximation that decomposes spike history effects into
244 impact model outcomes, as compared to static approximations that average contact rates over longer ti
245 we consider the accuracy of three systematic approximations that can be applied to arbitrary disease
246 escent simulations do not scale well, or use approximations that fail to capture important long-range
247 r, the Bernoulli principle relies on several approximations that may not be appropriate, including th
248 ts follow from heuristic thermodynamic poise approximations that take anticipated cellular metabolite
249                                          The approximations that then have to be made to allow fabric
250                                        While approximations that use finite-state machines (Pair HMMs
251         The NOON state, and its experimental approximation the Holland-Burnett state, have important
252           Using this axial neighbor symmetry approximation, the problem acquires a cylindrical symmet
253                           Using steady-state approximations, the dissociation rate of PS in cavitatin
254 e family, of parents who provide, to a first approximation, their offspring with genes plus rearing,
255 hastic systems (MSS), applies a linear noise approximation to describe the size of the fluctuations,
256 mely, we use a "dual" Pade rational function approximation to simultaneously match terms in the short
257    This distribution provides an alternative approximation to the exact distribution of the KAT.
258 e is the permutation test, a widely accepted approximation to the exact finite sample conditional inf
259 y functional within the generalized gradient approximation to the exchange-correlation energy.
260 assessment of the commonly used Tamm-Dancoff approximation to the GW-BSE approach.
261 , and we show that this provides an accurate approximation to the nanodomain Ca(2+) and buffer concen
262 hat the in vitro protocol constitutes a good approximation to the physiological gastrointestinal dige
263 o determine what gene(s) provide(s) the best approximation to the real phylogeny by analysing a simul
264  systems; analytical approaches use a linear approximation to the uncertainty by a first-order Taylor
265 equently-used perturbative but non-Markovian approximations to a photosynthetic dimer model and compa
266 den Markov algorithm and applying continuous approximations to allele frequencies and transition prob
267                         While semi-empirical approximations to DFT result in a reduction in computati
268 mine spatially modulated patterns that yield approximations to given surfaces of constant or varying
269 ations between binocular tests and binocular approximations to represent binocular visual function we
270 coalescent-based models or pseudo-likelihood approximations to the model likelihood.
271      To reduce this cost, we seek parametric approximations to the permutation distributions for gene
272 ation probabilities deriving from controlled approximations to the two-particle density matrix that y
273 wn samples at the nanoscale thanks, in first approximation, to the direct comparability of PTIR spect
274 n extended conformation and bind, in a first approximation, two residues per repeat.
275 ed when modeling this framework as rigid, an approximation typically made in high-throughput screenin
276 so this comparison should help to refine the approximations used in models.
277 nocular visual function tests with binocular approximations using data from the Collaborative Initial
278 of bifurcation analysis of the deterministic approximation we capture the recurrent solutions (i.e.,
279                           By adopting the GW approximation, we obtain converged G0W0 gaps of 1.3, 1.2
280                           Using a mean field approximation, we show it is possible to rapidly compute
281  technique and Hartree self-consistent field approximation, we show that the ESR transition frequenci
282                              Using diffusion approximations, we show that this non-neutrality is a re
283                             Under reasonable approximations, we show, using the Lyapunov method, that
284 n maximization-based algorithm for posterior approximation were added.
285 often modelled by using the Born-Oppenheimer approximation where the coupling between the electrons a
286 ynthesise such datasets are usually based on approximations which may not always be sufficiently repr
287 he accuracy of a theoretically substantiated approximation, which allows the calculation of absorbed
288 C, a novel approach based on simulated field approximation, which approximates the joint distribution
289 rate constant expressions rely on the Condon approximation, which assumes that the vibronic coupling
290                     The common low-injection approximation, which considers that the local carrier de
291  approach is based on the slow-equilibration approximation, which is applicable to KSEC-MS chromatogr
292 udy, we present a different form of analytic approximation, which is based on matching the short-rang
293 Laplace approximation rather than MCMC based approximations, which enables to directly approximate th
294 e state-of-the-art benchmark 1) a likelihood approximation with an assumption of independent Poisson
295 al calculation based on the first-order Born approximation with correct boundary conditions (CB1), in
296 l implementing an efficient moment expansion approximation with parametric closures that integrates w
297 or tracheal reconstruction, such as a simple approximation with suturing and coverage with adjacent s
298                              We compare this approximation with the previously obtained approximation
299 mitral annuloplasty (RA) or papillary muscle approximation with undersizing restrictive mitral annulo
300  showed stronger correlations with binocular approximations, with r values ranging from 0.65 (worse-e

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