Then a derivation structure D in L S0) (i.e. a derivation structure containing only propositional variables as atoms) is defined to be universally valid with respect to J iff for every S and every v, Dv is S-valid with respect to Jv.
A noise pathway is defined to be a valid pathway within the network that leads from the start to the end compounds but is not any of the specified dominant pathways.
Therefore, our estimation of the number of true positive (TP*), false positive (FP*), and false negative (FN*) for the undefined orthogroups based on the number of TP, FP, and FN calculated from the defined groups seems to be valid and our results should be representative of the entire population of orthogroups present in the six yeast genomes under study.
Carnap's notion of validity or L-truth is a maximal notion, i.e., Carnap now defines a sentence to be valid or L-true if and only if it holds in all state-descriptions.
Therefore, we can conclude from this analysis that the use of previous settlement arguments as a means of defining instrumental variables is likely to not be valid for the period 2001 2011 and also that it may work better when the enclaves from the new sending countries already formed.
Note that all defined parameters are valid only if not otherwise stated in the following text.
A spatial spillover function is defined, which is valid for both feedforward and feedback control with scalar and vector control inputs.
The above defined indicators are valid for a given operation point and vary depending on the load, the feed and return flow temperature of the district heating network, and the environmental conditions.
If at least one distance estimate error is negative, the intersection no longer contains the target node position, and then the bound defined in (8) may not be valid.
Because of differences in management practice, the methods used to define clusters of disease severity may not be valid in other populations.
