Sentence examples for foil models from inspiring English sources
The formula \(\forall f\exists xD f, x)\) is valid in FOIL models as described so far.
To distinguish the models described here from those in Section 3.2.2, these will be referred to as FOIL models, standing for first order intensional logic.
Requiring the validity of the following formula seems as close as we can come to imposing such an existence condition on FOIL models.
The formula \(\forall f([\lambda x\,E x)](f) \vee \neg [\lambda\)x E\((x)](f))\) is valid, but \(\forall f([\lambda x\,E x)](f) \vee [\lambda x\,\neg E x)](f))\) is not one can easily construct partial FOIL models that invalidate it.
The theoretical analysis uses a recently introduced modal-based bump foil model that accounts for interaction between the bumps and their inertia.
Recently-proposed techniques for the simultaneous solution of foil-air bearing (FAB) rotor dynamic problems have been limited to a simple bump foil model in which the individual bumps were modelled as independent spring-damper (ISD) subsystems.
Preliminary results using the FFSMM under static and unbalance excitation conditions are proven to be reliable by comparison against the corresponding ISD foil model results and by cross-correlating different methods for computing the deflection of the full foil structure.
A first-order valuation in FOIL model \ \cM\) is a mapping that assigns to each object variable a member of \ \bD_{O}\), as before, and to each intension variable a member of \ \bD_{i}\).
A FOIL model is a structure \ \cM = \langle \bG, \bR, \bD_{O}, \bD_{i}, \bI\rangle\) where \(\langle \bG, \bR, \bD_{O}, \bI\rangle\) meets the conditions of Section 3.2.2, and in addition, \ \bD_{i}\) is a non-empty set of functions from \ \bG\) to \ \bD_{O}\); it is the intension domain.
Covered with salvaged coloured foil, the models incorporate a Nativity scene and are lighted by candles or, more recently, by small bulbs and batteries.
Poured into evening outfits that looked as if they were shot out of a can of black Silly String and then seemingly baked with a girdle of foil, his models definitely were more molten than glamorous.
