Sentence examples for the formation rules from inspiring English sources
For greater ease in writing or reading formulas, the formation rules are often relaxed.
Otherwise, the formation rules remain as before, and the definition of validity is also as before, though simplified in obvious ways.
The formation rules are: An expression consisting of a predicate variable of degree n followed by n individual variables is a wff.
The wffs can be specified by adding to the symbols of PC a primitive monadic operator L and to the formation rules of PC the rule that if α is a wff, so is Lα.
It follows from the formation rules and from the fact that an initial truth table has been specified for each operator that a truth table can be constructed for any given wff of PC.
Thus, for example, in the case of the system N (see above Example of a formal system), the formation rules yield a language that is determined in accordance with a uniform procedure by the set (indicated by braces) of uninterpreted extralogical symbols: L = {S, +, ·, 0, 1}.
For recall that it is a characteristic feature of numerals that they may be generated from certain initial symbols by the application of a finite set of syntactic formation rules – e.g. the unary numerals are generated by applying the formation rule \(\sigma \mapsto \sigma'\) to the initial symbol \(0\).
To contribute to answering those questions, in this paper we analyze the growth and formation of complex networks by coupling the network formation rules to the dynamical states of the elements of the system.
As will become clear in section 7, all these formation rules are structurally identical to social choice functions.
The fire in the formation process, follow certain characteristics and laws.Familiar with the fire formation rules, select and use some unique characteristics of fire flame, it is a vital role to identify fire as soon as possible.
The phase formation rules of FeCoCrAlCuNix coatings indicated that besides Ω and δ parameters, solidification temperature Ts must be considered, instead of melting point as suggested previously.
