Then, the N values {1, e jθ, ej 2θ,..., ej N-1)θ} cannot all bej N-1inct for, if they were, the channel vector (9) could be chosen arbitrarily by suitable choice of interpolating polynomial f, contrary to the fact that the realizable channels are restricted to the L dimensional space Range (R).
Yet Nāgārjuna argues that cause and effect cannot be substantially distinct.
If it exists, it necessarily exhibits a dual nature, and yet those two natures cannot be ontologically distinct.
Haecceities have no such quidditative content (In Sent. I, d. 8, q. 5 [(1520), 48rbG]), and thus cannot be formally distinct from their nature.
This sort of argument is now typically associated with the absolute idealist, F. H. Bradley, but it was known to philosophers during the Middle Ages and taken by many (including, Ockham and the later Harclay) to show that relations cannot be really distinct from their foundations.
In consequence, there cannot be two distinct, true, but contradictory bodies of knowledge.
Both ARF proteins met our criteria as novel proteins, although their transcripts cannot be detected distinct from their known-frame counterparts, and thus, were not evaluated for proteome/transcriptome alignment.
Although results are presented for all six subtypes of breast cancer considered, tests of heterogeneity were sometimes restricted to ductal, lobular and tubular cancers as mixed ductal lobular cancers cannot be assumed to be distinct from ductal or lobular tumours, and the numbers of medullary and mucinous cancers were usually too few to allow reliable comparisons with the other subtypes.
