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The problem of how to compute the rate of loss of memory of initial conditions in the transient case is discussed and a quantity similar to a largest Lyapunov exponent is defined and used to determine the predictability time for the Rayleigh-Taylor problem.
In the region of bistability, the distributions are distinct indicating a persistent memory of initial conditions.
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In a general graph, the steady state can depend on the initial concentrations that were chosen at time 0, so that there is a memory of these initial conditions (see the section ' Formation of an inherently bounded chromatin domain').
This antigen presentation, which initiates the adaptive immune response and provides a "memory" of the initial recognition of the antigen, allows for a rapid immune response if the same infection occurs again in the future.
We consider several functional forms to describe the processes of pitch-angle scattering, such as an isotropic scattering without any memory of the initial particle's pitch-angle or processes in which the scattering result depends upon the initial particle's pitch-angle.
Abstract: When a system thermalizes it loses all local memory of its initial conditions.
Again, there is an odd flatness to proceedings, as if the memory of her initial disappointment is the key emotional determinant here.
As a matter of fact, we found that the memory of the initial event had a greater neurochemical impact than exposure to the event itself (compare Figures 1a to 2b and c).
Observations of individual lamellae within spherulites of linear polyethylene, drawn under affine conditions between room temperature and ∼100 °C, show lamellae surviving to sample failure, thereby providing a strong memory of the initial morphology in the final product.
Such constitutive models call for a different nonlocal generalization than those for continuum damage mechanics, in which the total strain is reversible, or for plasticity, in which there is no memory of the initial state.
These cellular responses rely on the highly coordinated and rapid activation of gene expression programs as well as the ability of the cell to retain a memory of the initial gene response.
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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