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Just as the ordinary two-sided directional derivatives of a differentiable function can be described in terms of gradient vectors, the one-sided directional derivatives can be described in terms of 'subgradient' vectors [2, p.213].
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Furthermore, the thermodynamics of processes of ions crossing boundaries between dissimilar materials can be described in terms of inherent thermodynamic functions, whereas intrinsic thermodynamic functions cannot be used to describe the thermodynamics of ions crossing these boundaries.
All positive harmonic functions in an arbitrary domain of a Euclidean space can be described in terms of the so-called exit boundary.
The characteristics of optical properties can be described in terms of the dielectric function ε = ε1 + iε2 is an important parameter for semiconductors, which can be used to describe the interaction between electrons and photons.
Densitometer performance can be described in terms of the modulation transfer function (MTF), which is defined as the modulus of the densitometer's transfer function.
Here Φ and the aj's are smooth (complex) functions, and the domain in which the expansion is valid can be described in terms of deformation properties.
For each circuit, there is proposed to be an optimal dopaminergic state that can be described in terms of an inverted U-shaped function.
Sound propagation in ducts with elliptical cross-sections can be described in terms of modes characterized by Mathieu functions of orders specified by the boundary conditions.
Such nonstationary variation can be described, in terms of mathematics, as a superposition of transient exponential moment functions defined with initial conditions.
The reactions can be described in terms of thermodynamics through the use of standard electrode potentials.
In summary, the iterative algorithm can be described in terms of the following steps.
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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