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An operator (T Erightarrow E) is called nondecreasing if the order relation is preserved under T, that is, for any (x,y in E) such that (xleq y), we have (Tx leq Ty).
On Reid's theory of memory, an apprehension establishes a direct relation to an event, which relation is preserved in memory by the acts of conceiving the event and believing of the event conceived that it happened to the person who remembers.
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This was true for EQW as well as for TTB users: Within each of the conditions, this positive relation was preserved [EQW Condition, Kendall's rank-order correlation coefficient τ = 0.24, z = 1.88, p =.030 (one-tailed); TTB Condition, Kendall's rank-order correlation coefficient τ = 0.24, z = 1.76, p =.039 (one-tailed)].
Thus, the extended representation theorem ensures that the use of conservativeness of mathematics together with suitable nominalistic claims (formulated via comparative predicates) does not change the class of models of the original theory: the same comparative relations are preserved.
The previous relations are preserved when age-structure is explicitly introduced.
Despite the differences in target amplification, sample relations were preserved across the five target preparation methods as shown by unsupervised hierarchical clustering.
On the other hand, the nonreductionist might insist that I am justified in having special concern for my future ego simply insofar as it is the only thing that will be me, regardless of whether or not Relation R is preserved by or within it.
The experience of the affective trace of 'my' relations with particular others is preserved, again not as psychological memory, but as a reminiscence of the flesh.
Its frequency is too low but its timing is preserved in relation to the expected stimulus train.
While theoretical coding dissolves the single cases into the overall data material, the relation to the individual case is preserved in thematic coding.
Weighted networks are advantageous as the relation between different structural connections is preserved (instead of assigning equal weights to all tracts), and they are independent of network density thresholds (Gong et al. 2009; Rubinov and Sporns 2010).
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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