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But though this defines a sequence of entities which are numbers, this procedure doesn't actually define the concept natural number (finite number).
The storylines are a sequence of entities and relationships and are treated as bag of words documents for both training classifiers and scoring against them.
Difference equations or recurrence relations describe a situation where there is a discrete sequence of entities, each of which either gives an input to its successor, or perhaps interacts with both its neighbors.
CL1 CL3 are equivalent, in free logic, to a set of sentences that properly define the theoretical terms ti (1 ≤ i ≤ n) : (D-i) ti = ιyi ∃y1 … ∃yi−1 ∃yn+1… ∃yn ∀x1 … ∀xn (TC(n1,…,nk, x1,…,xn) ↔ y1 = x1 ∧ … ∧ yi = xi ∧ … ∧ yn = xn) ti designates, according to this definition schema, the i-th component in that sequence of entities that uniquely realizes TC.
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Structuralists (often inspired by Benacerraf 1965) argue that any omega-sequence (roughly, any sequence of discrete entities structurally analogous to the series 0, 1, 2, …) can play the role of the natural numbers (cf. Resnik 1997).
Compared with three vaccine strains, the homologies of HA nucleotide sequences and AA sequence entities of the 35 H9N2 AIVs were 84.0 93.0% and 83.6 92.2%, respectively (Table 2).
Central to the tree model are the assumptions that through evolutionary time entities replicate themselves (or are replicated), and that this process of replication produces the reproductively linked sequences of similar entities that constitute lineages.
An additional advantage of using cross-assembly is that the sequences of biological entities, which are shared between specific samples, are simultaneously assembled.
Connecting this sequence of events, the entity occurrence's activation can be recorded, the occurrence's state changes documented and aging activities recorded, and finally, the occurrence's inactivation or termination can be recorded.
While this best-fit model shows some evidence of sequence matched entities, they are shorter and less regular than those envisaged in previous studies.
Text is sequence of words, including name entities and sentiment carriers.
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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