Sentence examples for formula with one from inspiring English sources

The collection of natural numbers for which such a formula with one universal second-order quantifier holds is called a Π11-set (in this case, the whole of the natural numbers).

So is the analogous arithmetical operation which produces, given the Gödel number of a formula (with one free variable) ⌈A x)⌉ and of a number n, the Gödel number of the formula in which the numeral n has been substituted for the variable in the original formula, that is, ⌈A(n)⌉.

Then for every predicate E x) of expressions of L defined in L+ one can prove in L+ a general sentence of the form ∀n[¬E(d(φ(n)))↔ψ(n)], where ψ(n) is a formula with one free variable entirely constructed in L (through the arithmetization of the L+ predicate "¬E(d(φ(n)))").

The proof of the Diagonalization Lemma centers on the operation of substitution (of a numeral for a variable in a formula): If a formula with one free variable, A x), and a number n are given, the operation of constructing the formula where the numeral for n has been substituted for the (free occurrences of the) variable x, that is, A(n), is purely mechanical.

"The difference is a good colorist will use several formulas, with one on the part and another on the hairline".

"Replacing 152 different formulae with one single, simple formula will inevitably lead to substantial changes in funding across schools and, for good or bad, will almost completely remove local authorities from the school funding system".

The gain in simplicity of the normalized frequency approach, which provides less complex prediction formulae with one fewer parameter, is balanced by a significantly poorer performance.

Feeding modifications included the use of a protein-hydrolysate formula thickened with one tablespoon of dry rice cereal per ounce, at restricted volumes.

Thus, the regression model can be presented as follows: (2) For simplicity, we present this formula with only one example, but the model is easily extended to multiple samples.

This could explain the discrepancies observed between our results and data from other studies that changed the follow-on formula to one with a much higher protein intake (close to cows' milk) after the 4th month of life.

Additionally, supplementation with infant formula at one month had a clear dose-response effect on breastfeeding with the aORs of weaning increasing as the proportion of breastfeeding decreased from high-partial breastfeeding (aOR = 2.00; 95% CI 1.31 to 3.05) to low-partial breastfeeding (aOR = 13.8; 95% CI 5.70 to 33.63).