In the present experiment, we can interpret this activation as coming from deductive mental operations during the application of the syntactic rules underlying the formation of hierarchical formulae in the process of the verification of whether a given string of symbols represents a correct formula or not.
If so, the computations cease successfully (line 22) since the input matrix represents a true formula.
In this work, the positive and negative examples are formalized as facts in the Prolog language, which represents a logical formula in predicate logic.
The method represents an empirical formula based on the effective solid angle ratio.
Weighted propositional formulas can be used to model preferences over combinatorial domains: each formula represents a goal we would like to see satisfied, the weight of a formula represents the importance of the goal in question, and to assess the desirability of a given alternative we aggregate the weights of the goals satisfied by that alternative.
The lack of precision in the notion of continuous function still vaguely understood as one which could be represented by a formula and whose associated curve could be smoothly drawn had led to doubts concerning the validity of a number of procedures in which that concept figured.
Google Ventures and its take on investing represent a new formula for the venture capital business, and skeptics say it will never capture the chemistry — or, perhaps, the magic — of Silicon Valley.
Time-tested and time-honored, the commemoration rites we observe each Memorial Day — the parades and speeches and graveside prayers and offerings — represent a satisfying formula of remembrance by the living for the dead that was already referred to as "ancient custom" by Thucydides in the fifth century B.C.
The binary skutterudites can be represented by a formula, MX3 (M=Co, Rh, Ir; X=P, As, Sb), and they have a cubic structure and a space group Im 3 symmetry.
One might argue that Viva la Vida's mild tinkering with the formula represents a failure of imagination: perhaps it's hard to think outside the box when the box is the size of the Las Vegas MGM Grand Garden Arena.
