Your English writing platform
Discover LudwigSuggestions(5)
Exact(5)
The electronic structure has been calculated by solving the Schrödinger and Poisson equations self-consistently.
Profiles have been calculated by solving a system of ODE describing the translational and rotational motion of the probe through the Earth's atmosphere during parachute aided descent.
Probability amplitude of an electron for tunneling has been calculated by solving Schrodinger equations at different regions in the effective mass approximation model of class I crystal interface.
The numerical probability has been calculated by solving the system (2.1) (1mbox000mbox000) times and by applying a Monte Carlo method, while the analytical density has been evaluated by integrating Eqs.
In addition to the remarkable self-energy effect, the macroscopic dielectric function and related optical properties, such as refractive index n, excitation coefficient k, absorption coefficient α, energy-loss function L, and reflectivity R have been calculated by solving Bethe Salpeter equation (BSE).
Similar(55)
Going beyond this qualitative argument, the quantitative properties of atoms are calculated by solving the Schrödinger wave equation, which provides the quantum mechanical description of an atom.
The node temperatures T can be calculated by solving (19).
The contact tractions are calculated by solving the equations numerically.
On the low level, the control signal is calculated by solving a constrained optimal control problem.
The transition models can be calculated by solving the optimization problems.
The observer gain is calculated by solving a delay-dependent matrix differential equation.
More suggestions(17)
been calculated by increasing
been calculated by extrapolating
been gained by solving
been conducted by solving
been found by solving
been calculated by docking
been calculated by finding
been verified by solving
been simulated by solving
been performed by solving
been demonstrated by solving
been calculated by harvesting
been examined by solving
been shown by solving
been calculated by monitoring
been implemented by solving
been determined by solving
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com