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Exact(6)

The notion of a relation of reason is not to be found explicitly in the works of Aristotle, though he does distinguish beings of reason in general from real beings (cf. Metaphysics IV, 1, esp. 1003a32-b11 and V, 7, esp. 1017a31 35).

They can be found explicitly in significant examples to yield best-possible estimates of the norms for classes of integral operators with non-negative kernels.

Thus, a majority of the known PPIs cannot be found explicitly in MEDLINE.

The other formulae can be found explicitly in the program code in the file bremsstrahlung.F.

The answers to these questions could be found explicitly in textbooks and could be memorized.

□ Corollary 3. In the particular case where (X i )1≤ i ≤ℓ is a homogeneous Markov chain, we can drop the indices in P i + d and Q i + d and Equation (5) is simplified into (6) Corollary 3 can be found explicitly in [ 48] or [ 50] and its generalisation to a heterogeneous model (Proposition 2) is given in [ 51].

Similar(54)

The first two dominant terms of the optimal sample size for the first stage are found explicitly in terms of N and prior density function.

The optimal values for both π and ω can be found explicitly by taking the derivative of in Equation (6) with respect to π and ω to be 0, leading to the following update rule (7) (8) for all b=1,…, 4. q N b is the posterior distribution of base b at the root node.

Four nrd-like genes were found in ϕpp2: one was found explicitly by the RAST and three others were implicit but manually confirmed with PSI-BLAST searches.

The eigenfunctions of the equation are found explicitly.

The leading term of this asymptotics is found explicitly.

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