Weak field approximation and adiabatic condition
Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition
... invariant approximation using fixed point theory and subsequently various interesting and valuable results applying fixed point theorems to obtain invariant approximation appeared in the literature of ...
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Stopping power beyond the adiabatic approximation
... initial condition is the ground state of the system composed of these 108 Ni, and an additional, interstitial, Ni atom, represented by the same pseudopotential than those in the fcc crystal lattice, which will ...
10
Failures of weak approximation in families
... number field k contains a primitive cube root of unity, it follows from their work that H 1 (K, Pic X η ¯ ) ∼ = Z /3 Z ...number field k. This takes care of condition (7) and so all of the hypotheses ...
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Adiabatic Approximation in Explicit Solvent Models of RedOx Chemistry
... The agreement between calculated and measured redox is excellent for all ions but titanium. Nevertheless, since the calculated values are similar with both methods, the discrepancy is not due to the nature of our ...
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Weak pressure gradient approximation and its analytical solutions
... A weak-pressure-gradient (WPG) approximation is introduced for parameterizing supra- domain-scale (SDS) dynamics, and this method is compared to the relaxed form of the weak-temperature-gradient ...
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Weak Type Inequalities for Best Simultaneous Approximation in Banach Spaces
... the approximation order of best approximation can characterized by the order of certain ...best approximation of algebraic polynomials by moduli of smoothness involving the Legendre, Chebyshev, or ...
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WEAK GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH DTN BOUNDARY CONDITION
... an approximation DtN ...the weak solution, we establish a priori error estimates in the tri-norm and L 2 norm for the exterior Helmholtz problem by using weak Galerkin finite element method, ...
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Magnetic field density functional theory (BDFT): lessons from the adiabatic connection
... magnetic field, within the framework of BDFT. We consider two regimes: the weak-field regime to understand and model magnetic properties better and the strong-field regime to improve our ...
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Common fixed point and approximation results for generalized (f, g)-weak contractions
... where f, g : X ® X are self-mappings and j : [0, ∞ ) ® [0, ∞ ) is a lower semicontinu- ous function from right such that j is positive on (0, ∞ ) and j (0) = 0. If g = f, then T is called f-weakly contractive. If f = I, ...
10
Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt Approximation
... In the case of periodic boundary condition or in the whole space, from (2.2) it is easy to get the necessary regularity to treat the pressure term in (1.5), once good estimates are known on the velocity. In a ...
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Anisotropic P-wave travel-time tomography implementing Thomsen's weak approximation in TOMO3D
... 0.22 27–0.5 0.19 ± 0.02 27–0.5 0.19 ± 0.02 0.23 27–5 0.20 ± 0.04 27–2 0.20 ± 0.03 0.24 28–11 0.22 ± 0.06 28–5 0.20 ± 0.04 recovered, with the exception of δ, and trade-off between pa- rameters is lower, but P[v ⊥ ] ...
20
Inversion symmetry breaking in spin patterns by a weak magnetic field
... saturation approximation, where atom-light interaction is modeled by considering only the ground-state populations and coherences of the density matrix ρ; see, ...
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Weak approximation of G-expectations
... In this note we introduce a discrete-time analogue of the G -expectation and we prove a convergence result which resembles Donsker’s theorem for the standard Brownian motion; the main pu[r] ...
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A weak periodicity condition for rings
... It has long been known that peri- odic rings have nice commutativity behavior; in particular, Herstein [ 10 ] showed that if R is periodic and N ⊆ Z , then R is commutative—a result whic[r] ...
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ON REGULAR RINGS SATISFYING WEAK CHAIN CONDITION
... of weak comparability for regu- lar rings is right-left ...satisfying weak chain condition is directly ...of weak chain condition for ...satisfying weak chain condition is ...
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Adiabatic and isocurvature perturbation projections in multi field inflation
... the adiabatic and isocurvature ...corresponding adiabatic and isocur- vature ...a field redefinition and a perturbation ...an adiabatic or isocurvature field is ...the field ...
11
Uncertainty quantification and weak approximation of an elliptic inverse problem
... AND WEAK APPROXIMATION OF AN ELLIPTIC INVERSE PROBLEM ∗ ...study weak convergence of a general class of locally Lipschitz functions of the log permeability, and apply this general theory to estimate ...
20
Application of highwall mining system in weak geological condition
... 6 Conclusions Highwall mining systems can sometimes be the final mining method used in open cut mines, or it can serve as a means of transition, with low capital cost, from surface mining to underground mining. From the ...
11
Adiabatic motion of a neutral spinning particle in an inhomogeneous magnetic field
... The principal results of this work are, first, the devel- opment of systematic perturbation methods for both the classical and semiclassical approaches to the motion [r] ...
18
Effective heat dissipation in an adiabatic near field transducer for HAMR
... The optical performance of the fabricated devices was characterized with an optical far- field measurement. The wafer layer structure used in this work is shown in Fig. 1. The core is a layer of Si 3 N 4 on a 2 µm ...
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