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"Most societies, for most of history, thought that history had a cyclical path, whereas Western society is defined by a linear idea of history, which really begins with Judaism and then finds its rearticulation in Christianity".
The static stress strain curve was defined by a linear elastic region, a strain hardening plastic deformation region, and a subsequent region of perfect plasticity.
In this paper, we tackle the problem of giving, by means of a regular language, a combinatorial interpretation of a positive sequence (fn) defined by a linear recurrence with integer coefficients.
The theory applies well to old-school product and services businesses — what we call "linear" businesses because they are defined by a linear supply chain where value and information flow primarily in one direction (from the supplier to the consumer).
The theory applies well to old-school product and services businesses — what we call "linear" businesses because they are defined by a linear supply chain where value and information flow primarily in one direction (from the supplier to the consumer).
Finally, road length growth in the range [39°; 90°] is better defined by a linear relation and is little represented in the total watershed road network.
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Thus, the magnitude of the critical porosity value can be defined by a simple linear equation.
In 2011, for the approximation of common fixed points of a countable family of nonexpansive mappings { T n }, Zhang et al. [13] introduced in his iterative algorithm a mapping T defined by a convex linear combination of { T n }, i.e., T = ∑ n = 1 ∞ λ n T n, λ n ≥ 0 ( n = 1, 2, … ) with ∑ n = 1 ∞ λ n = 1.
However, since the involved mapping T is defined by a convex linear combination of a countable family of nonexpansive mappings { T n }, i.e., T = ∑ n = 1 ∞ λ n T n, λ n ≥ 0 ( ∀ n ≥ 1 ) with ∑ n = 1 ∞ λ n = 1, the accurate computation of T x n at each step of the iteration process is not easily attainable.
The diffusion phase is divided into two sub phases: in the first one a memory reversible 3D cellular automata is applied using the 3D object as the initial conditions, and in the second sub phase, a discrete dynamical system with delay defined by a non-linear boolean function is applied to the output of the evolution of the cellular automaton.
Above the yield stress, the deformation follows a plastic flow law defined by a non-linear effective viscosity: eta_{text{eff}} = frac{tau_{y}}{dot{e}}, (8).
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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