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The first type approximates the unknown function in the equation by a simpler function, often a polynomial or piecewise polynomial (spline) function, chosen to closely follow the original equation.
For example, by replacing the sum-product check node computation by a simpler function [10], to simplify the computations, or using various scheduling techniques to increase the convergence rate by altering the order of updating messages during the iteration [11], or using the forced convergence method [12].
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A frequently used metaphor is the one of Lego blocks: complex proteins can be created by combining existing blocks of a simpler function.
In the Australian context, vulnerability and exposure to bushfire can be jointly parameterized by a simple function of distance from the nearest bushland.
The minimal material volume (normalized) is also given in closed form by a simple function of ρ and q, namely, V= q ρ-1/q-ρ1/q).
A relation between an internal length scale parameter, used in the nonlocal continuum model, and the structural properties of the network is approximated by a simple function.
It had turned out that boiling was described by a simple function that raises this temperature difference to a power called the critical exponent, which is the same for a wide variety of physical processes.
The sliding surface guarantees finite time convergence of the line-of-sight (LOS) rate and (if specified) the LOS angle error, characterized by a simple function of time-to-go.
The model and its dependence on the dimensionless parameters describing the system are derived from first principles except for the compressible boundary layer, which is described by a simple function whose magnitude is empirically determined by fitting experimental data.
For instance, a kernel can be given by a simple function, such as Gaussian, or by so-called PSF, a function that describes the impulse response of an imaging system to a point source [[3], pp. 205-207].
The fact that performance could not be described by means of a simple function of amplitude suggests that participants used specific "strategies" (or synergies) adapted to target amplitude and to the anticipated final state (maintain the contraction or relax immediately).
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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