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Let us denote by a sequence generated by the generalized Krasnosel'skii-Mannprocess.
More generally, formulations (A)–(D) would be falsified by a sequence generated by a random (i.e., nondeterministic) physical process.
So any thesis, such as Bold Physical CTT, that would be falsified by a sequence generated by a random process is too strong to capture the notion of physical computability — the physical analogue of algorithmic computability.
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Let,, and let be a sequence generated by a generalized Krasnosel'skii-Mannprocess.
Let be the mapping defined by for all and a sequence generated by (4.2). for all.
Let be a smooth and uniformly convex Banach space and a monotone operator such that there exists a nonempty closed convex subset of satisfying Let be the mapping defined by for all and a sequence generated by (4.1).
Participants were allocated to the FREMS or placebo arm (1 1 ratio) according to a sequence generated by a computer random number generator, without block or stratification factors.
Let be a sequence generated by the conjugate gradient algorithm defined by (3.8)–(3.83.8
The final poem in the book, coming out of a sequence generated by a residency in Kensington Gardens, was called "Goodbye".
Let be a sequence generated by (1.11).
Let be a sequence generated by (IS).
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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