My main reason for posing it is that it has a solution from 'The Book', the book of ideal proofs invented by Paul Erdos.
The ideal proof-of-principle study design provides a strong efficacy signal over the shortest duration, while exposing the fewest patients possible.
Although the double resistance reporter assay is an ideal proof-of-principle model, it is not very versatile in gene engineering.
As the amyloid cascade is the leading hypothesis, this cohort would be ideal for proof-of-principle studies in amyloid-based drug therapy.
L is distributive; For every isotone derivation d, Fix d ( L ) is a standard ideal of L. Proof (1) ⇒ (2).
Then Fix d ( L ) is an ideal of L. Proof By Proposition 3.8 we can see that x ∈ Fix d ( L ) and y ≤ x imply y ∈ Fix d ( L ).
Although discrimination of colitic from non-colitic mice by non-invasive factors is ideal, as a proof of principle for discriminatory modeling and to gain biological insight into the mucosal disease process tissue PLS-DA models were generated using the colon levels of the factors.
Let A = 〈 x, μ A, γ A 〉 be an ( ∈, ∈ ∨ q ) -intuitionistic fuzzy bi-ideal of S. If μ A ( x ) ≥ 0.5 and γ A ( x ) ≤ 0.5 for all x ∈ S, then A = 〈 x, μ A, γ A 〉 is an -intuitionistic fuzzy bi-ideal of S. Proof The proof follows from Theorem 3.8, by taking k = 0. □.
Theorem 14 Let S be regular and U be a non-empty subset of S. If U ˜ = ( χ U, χ U ˜ ) is a - I F I Γ I 1 or - I F I Γ I 2 of S, then U is an interior Γ-ideal of S. Proof It is obvious that U is a Γ-subsemigroup of S by Theorem 2. Case 1. Suppose that U ˜ = ( χ U, χ U ˜ ) is a - I F I Γ I 1 of S and x ∈ S Γ U Γ S. Thus x = s β u γ t for some s, t ∈ S, u ∈ U and β, γ ∈ Γ.
This group would be the ideal cohort for proof-of-principle studies for amyloid targeted therapies, but this is unfortunately precluded by the rarity of mutation carriers.
Aristotle's fallacies are shortcomings of his ideal of deduction and proof, extended to contexts of refutation.
