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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
36 c polynomial-time hard problem and derive an approximation algorithm that yields a blocking where the
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
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
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
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
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
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
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
78 changes (band shifts, deviation from linear approximation, etc.) for common sample parameters in the
80 ncentration still adheres to the first order approximation (FOA3), and this agreement is maintained o
82 ictions of a representation that is based on approximation for delay, refuting an explicit delayed-st
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
89 he method extends the traditional Gutzwiller approximation for one-particle operators to the evaluati
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
100 rved at a tl of 96 h, with deviations of the approximation from the time integral of median +5% (rang
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
107 of errors shows that the slow-equilibration approximation guarantees that the errors in the rate con
109 Previously, a number of Ca(2+) nanodomains approximations have been developed, for instance the exc
111 The correlation between time integral and approximation improved with increasing time tl Pearson r
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
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
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
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),
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
145 We develop a penalized weighted low-rank approximation method (WPLA) for robust recovery of recur
151 und to represent significant outliers to the approximation model are removed from the results, provid
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
158 estimation of peak pressure drops because of approximation of blood flow as a single streamline.
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
164 Formulating mathematical models for accurate approximation of malicious propagation in a network is a
167 al strategy is reported that provides a fast approximation of numerical solutions of differential equ
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
175 to the sequential Markov coalescent (SMC)-an approximation of the coalescent with crossover recombina
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
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
185 differentiation efficiency and more accurate approximation of the in vivo hepatocyte gene expression
187 niche models can provide a reasonable first approximation of the magnitude of species' potential ran
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
194 re protein mass, dark field imaging gives an approximation of the total mass of protein present in an
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
201 effectiveness of various simplifications and approximations of existing frailty phenotypes for risk p
203 of each atom in a protein based on classical approximations of interatomic forces, giving researchers
205 colloidal particles are often poor geometric approximations of the digital building blocks used in si
209 correlated significantly with all binocular approximations of VF, with r values ranging from 0.31 (w
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
217 developed an efficient and accurate p -value approximation procedure using analytical decomposition o
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
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
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
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
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
242 ng a signal-to-background ratio (SBR) is the approximation that can lead to much poorer LOD specifica
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
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
258 e is the permutation test, a widely accepted approximation to the exact finite sample conditional inf
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
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
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
275 ed when modeling this framework as rigid, an approximation typically made in high-throughput screenin
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.,
281 technique and Hartree self-consistent field approximation, we show that the ESR transition frequenci
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
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
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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