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When the model parameters are not known, the MAP and ML criteria result in the most complex approach; consider fitting a finite sequence of data to a polynomial of unknown degree [33]: y ( t i ) = P ( t i ) + ν ( t i ), i = 1, …, m (63).
Mostly a fast Fourier transform is computed for finite sequence of data sample [ 4].
Fourier transform is a basic tool for analyzing biological signals and is computed for a finite sequence of data sample.
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Any result is represented in the computer as finite sequence of bits, which can be considered the value of a mathematical function of all the input data, which are finite bit sequences as well.
An algorithm, for those who don't know, is a "finite sequence of instructions, an explicit, step-by-step procedure for solving a problem".
Finally, a task can be defined as a finite sequence of actions or operations carried out in a finite interval of time.
If σ is a finite sequence of outcomes, let N be the set of all (finite or infinite) x ∈ X which begin with σ.
For a given integer number, we consider a finite sequence of arbitrary points, a finite sequence of arbitrary points and a finite positive sequence.
A path is a finite sequence of consecutive tasks.
But the condition of Borel normality, which all random sequences obey, entails that every finite sequence of outcomes of equal length should have equal frequency in the sequence.
On the contrary, any finite sequence of trials (which, after all, is all we ever see) puts literally no constraint on the limit of an infinite sequence; still less does an actual finite sequence put any constraint on the limit of an infinite hypothetical sequence, however fast and loose we play with the notion of 'in principle' in the ascertainability criterion.
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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