The phrase "and therefore representations" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from a previous statement, particularly in academic or formal writing.
Example: "The data suggests a significant trend in consumer behavior, and therefore representations of this trend must be accurately depicted in our report."
Alternatives: "and thus representations" or "and consequently representations".
If (sin D mathcal{S})) then (4.1) implies that mathcal{S}(s)=mathcal{S}(0) + As. (4.2) If the linear subspace S is not closed, then there is no guarantee that decomposition (4.1) does exist, and therefore representation (4.2) may not exist.
Unlike categories, which are defining and therefore static representations, scripts are dynamic representations of sequences of behaviors associated with a particular context (Abelson 1976; Schank and Abelson 1977).
Therefore, representations of qualities and quantities are defined as transformations of a real quality through an "action to measure".
Two generically similar, and therefore opposed, representations will strive to fuse with one another, on account of the unity of the psyche.
Therefore, representations that were originally motor become 'mirror' (activated when observing and executing the same action, figure 1).
Therefore, representations, including propositional representations, are representations of a mind-independent world.
Therefore, representations of a quality must be distinct from representations of a quality obtained through measurements (Masuya et al. 2011).
Orthogonality of the dictionary guarantees that the vectors encoded in the dictionary span the low-dimensional subspace and therefore the representation of the measurements is possible.
For P. falciparum and S. cerevisiae single gene containing sequences as well as whole chromosomes, all homopolymer tracts were found to have similar length dependent frequencies and therefore over-representation in their functional compartments.
Identification of cyanelle translocon components is hampered by the low expression rate and therefore low representation in existing EST libraries, in contrast to the situation in higher plant chloroplasts [ 41].
