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An algorithm is a mathematical formula -- a procedure used to make calculations and predictions, run Google searches, or track certain occurrences to identify patterns.
As an application of the qd formula, we present a procedure for getting a tridiagonal matrix with specified multiple eigenvalues.
Other than this replacement of the P-value formula, all procedures for this alternative criterion are exactly the same as for the original triplet and quadruplet tests.
This means that we would now know when to stop looking for a model satisfying a formula in the procedure (SP2).
A procedure of optimal formula design was based on a novel approach of spectral expansion.
For all cases, either a formula or an effective procedure for determining the solution is provided.
What was missing was a procedure to list out all the non-valid formulas, or equivalently to list out all satisfiable formulas.
Here we propose a procedure to locate the steady states of CRNs from a formula derived through algebraic geometry methods.
Morphological changes were analyzed in control neonates rats (group 1: full term and were mother-fed) and in preterm experimental groups (group 2: mother-fed; group 3: hand-gavaged with a protein rich formula after a hypoxia reoxygenation procedure).
In the control group (group 1), neonatal rats were full-term and breast-fed; in the experimental groups, rat pups were preterm at day 21 of gestation and rat-milk fed (group 2) or hand-gavaged with a protein rich formula after a hypoxia reoxygenation procedure (group 3).
Symmetrically to the first sub-procedure (SP1), if the formula A is not satisfiable, then (SP2) will never find a model satisfying it, it will run forever, and one could not be sure about it at any time.
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