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To meet the need of a simplified analytical method for surface acoustic waves in finite elastic solids, we start the derivation from the well-known three-dimensional solutions of semi-infinite elastic solids.
We start the derivation of the recursive algorithm by expressing the deterministic correlations matrix, V d (k), and the deterministic cross-correlation vector, r v (k), in their recursive forms: V d ( k ) = λ V d ( k - 1 ) + v d ( k ) v d H ( k ) r v ( k ) = λ r v ( k - 1 ) + r ~ d ∗ ( k ) v d ( k ).
We start the derivation of sMPAS by first restating the feature selection problem using the spatial segregation notations.
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In this review, we start with the derivation of the DAEM.
We start with the derivation of the map using the dynamics of plasticity variables (case i).
We start with the derivation of the interpolation function for steerability.
We start with the derivation of an upper bound.
The process started with the derivation of top-level requirements from the DRM.
The analytical formulas deal with all aspects of the magnet system, starting from the derivation of the TF system general geometry, from the plasma main characteristics.
Our approach starts with the derivation of the passage probability for a single particle that diffuses between a stochastically gated boundary, which models the opening and closing spiracle, and the perfectly absorbing boundary, which models oxygen absorption by the tissue.
Starting from the derivation of a transmit power upper bound (that becomes tight for large SINR targets), the average minimum transmit power is derived for NUS and SUS, for any number of users.
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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