For example, in order to show that a certain formula F logically implies another formula G, one tries to construct in step-by-step fashion a model of the logical system (i.e., an assignment of values to its names and predicates) in which F is true but G is false.
Saunders, who suffered relegation from the Championship with Doncaster last season, suggested that "you need a certain formula to do well in this league", and explained that rather than footballers with a taste for the Premier League, "you need good Championship players who are happy to be in the league, know what they need to do to win".
In this setting, if the parameters of the multi-block ADM satisfy a certain formula, it is equivalent to the two-block ADM.
Here we start with a structure A, and we build another structure B whose signature need not be related to that of A, by defining the domain X of B and all the labelled relations and functions of B to be the relations definable in A by certain formulas with parameters.
In popular music, as in algebra, certain formulas apply.
He wasn't interested in getting people to claim a certain religious formula or accept a particular set of doctrines, and certainly not in trying to make decisions about who God should and should not love.
The BBP formula is written in a certain easily recognizable form, and the duo hypothesize that the value of formulas of that sort (except for particularly boring ones) will skitter chaotically among numbers between 0 and 1.
