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Here, we apply a recently developed approximate quasiparticle method, namely the DFT-1/2 method17,18, which allows us to accurately model the band gaps of AMX3 perovskites with minimal computational cost.
In order to solve these problems, formulated as MILP models, we have developed approximate algorithm using Lagrangian relaxation (see Mikhalevich V.S. and Kouksa A.I., 1983).
The accuracy, efficiency and usage of the developed approximate method are demonstrated by the reliability analysis of SDOF systems subjected to two special types of uniformly modulated white noise excitations.
Using the developed approximate equation, transport coefficients were deduced from experimental results obtained using a spiral wound reverse osmosis module operated under varying permeate flux (2 11 μm/s), NaCl feed concentrations (0.04 0.18 M) and feed pH values (5.5 9.0).
The earliest developed approximate exchange-correlation functionals, however, face limitations, for example severely underestimating band gaps of semiconductors and insulators.
In many cases approximate query results are acceptable to users, therefore we developed approximate algorithms with much better performance to solve the SDH problem.
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The development of the closed-form solutions is then used as a guide to develop approximate closed-form solutions for a finite square plate containing a rigid inclusion under counter bending conditions.
The Hamilton principle is used to develop approximate dynamic equilibrium equations.
Considering the computational intractability of evaluating the system performance, we develop approximate evaluation methods which take the system uncertainty into account.
Therefore, many researchers and scientist of both heat transfer and mathematics have recently paid much attention to find and develop approximate solutions.
On the electrode level, we develop approximate analytical solutions for the 1D current/potential distribution via a hybrid algorithm of power-law approach and perturbation method.
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