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Such multiply realized determinate properties are indeed exactly similar across distinct realizations, and so answer the dilemma posed by Shapiro and others (discussed extensively in section 2 above).
On the contrary, it is the sameness of several, numerically distinct realizations of the same information-content, just like the sameness of a book in its several copies.
But then they are not the same kind and again we don't have an instance of multiple realizability of a single kind with distinct realizations.
Does it arise from a consideration of God simply as he is in himself, or does it only result from some reference to really distinct realizations of these perfections in creatures?
The results, which are reinforced using statistical analysis, show that the EEG recordings under EC and EO resting conditions are clearly distinct realizations of the same underlying model occurring due to parameter variations with qualitatively different nonlinear dynamic characteristics.
Simulated scenario with R = 25 RSS sensors deployed on a jittered grid within a square of size 100 m × 100 m and two distinct realizations of the emitter trajectory for σaccel = 0.05 m/s2 and σaccel = 0.2 m/s2.
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The term δ 1 η 1 ( t ) is the intrinsic noise, where η 1 ( t ) is modeled as a standard Brownian motion, with a distinct realization of the intrinsic noise used on each trial.
where n s is the number of distinct channel realizations during N time periods of each codeword.
In the conducted Monte-Carlo simulation, a distinct channel realization is used for each iteration.
We generated 1,000 distinct estimated channel realizations and for each of them, 10,000 different channel errors are generated to calculate the empirical CDF.
From these principles it follows that instances of a mental kind with different physical realizations are distinct kinds.
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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