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An example is (p ∨ ∼p), which, when p has the value 1/2, also has the value 1/2.
Thus one can iterate the operation and obtain further derived sets P″, P″′… P(n) … It is easy to give examples of a set P that will give rise to non-empty derived sets P(n) for all finite n. (A rather trivial example is P = Q[0,1], the set of rational numbers in the unit interval; in this case P′ = [0,1] = P″.) Thus one can define P as the intersection of all P(n) for finite n.
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A great example is "Ping Pong" by Bassnecter.
One prominent example was Ping An Insurance, which was forced to write off $2.5 billion in connection with its investment in the Dutch-Belgian bank Fortis after the bank was taken over by the governments of The Netherlands, Belgium, and Luxembourg.
Other examples are p-azidomethyl-L-phenylalanine (Zimmerman et al., 2014) and N6- 2-azidoethoxy carbonyl -L-lysinee (VaN6- 2-azidoethoxy carbonyl -L-lysine
Some examples are P-glycoprotein (P-gp)/multidrug resistance-associated protein (MRP) and lung resistance protein (LRP), 5, 6 Crystallin alpha A, alpha B, 7 heat shock proteins (HSP 27), 8 cancer stem cell markers (ABCG2, MCM2), 9 serine/arginine-rich protein-specific kinase 1 (SRPK10, 10 Hypoxia inducible factors-alpha (HIF1a) and survivin 11 and stathmin 12 gene and protein expressions.
For example, "Every S is P" and "Some S is not P" are contradictories.
The p ( x ) -Laplacian possesses more complicated nonlinearities than p-Laplacian; for example, p-Laplacian is ( p − 1 ) -homogeneous, that is, △ p ( λ u ) = λ p − 1 △ p ( u ) for every λ > 0 ; but the p ( x ) -Laplacian operator, when p ( x ) is not a constant, is not homogeneous.
An example is I ( p ¯ ) = v T p + σ 2, where v ∈ R + K is a vector of interference coupling coefficients.
The selector in our example is the p before the opening brace.
(For example, if a molecule is P, then either diffusion or 2 P → k S P P + D or P → d ∅ can happen).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com