Sentence examples for for formulae from inspiring English sources

Linear logic also has contraction for formulae of the form !A, i.e., it is a theorem of these logics that (!A → (!A → B)) → (!A → B) (see Troelstra 1992).

Using modern notation, Frege allowed for formulae like '(Fa & Fb) → ∃X Xa & Xb)' and '∀x∀y[x = y ↔ ∀X(Xx ↔ Xy)]'.

In practice, of course, this test is unworkable for formulae containing a large number of propositional variables, but in principle one could apply it successfully to any formula of the propositional calculus, given sufficient time, tenacity, paper, and pencils.

Using another terminology, this means that, if one builds one's calculus with care, one will be convinced that the derivability characterization of logical truth for formulae of the formalized language will be sound with respect to logical truth.

To the best of our knowledge, however, there has been no analytical treatment of the ratio of multinomial proportions including derivations for formulae for the mean and variance of such a ratio.

In this setting, <φ> above denotes the Gödel code of φ, and T<φ> is short for T. The reader not familiar with Gödel codings (also known as Gödel numberings) can just think of the mapping <·> as a naming device or quotation mechanism for formulae — just like quotation marks in natural language.

For formula-fed babies, you can switch to powdered formula rather than liquid.

See additional file 2 for formulas.

Figure 3 illustrates this for formula-fed infants.

No global recommendations have been made for formula fed infants.

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