Sentence examples for completeness formula from inspiring English sources

In other words, these cases increased the denominator in the completeness formula, which consequently led to a decrease in the calculated completeness.

The completeness formula according to [ 28] was implemented into a Perl script (In prep) to determine the percentage of the reference proteome that is covered by each of our sets of assembled transcripts.

For completeness we outline formulae for simpler designs for which the sample size formulae are relatively well known, or easily derived, as an important prelude.

Thus the question of completeness reduces to formulas of degree 1.

For the sake of completeness, the trendline formulas for ANGLE and COLOR SHAM data separately were RT = 5.66*TW+525.6 [for ANGLE] and RT = 6.99*TW+502.14 [for COLOR]).

Gödel shows that if the completeness theorem holds for formulas of degree k it must hold for formulas of degree k + 1.

Gödel proved his Completeness Theorem, namely that a formula is provable from the axioms if and only if it is valid.

The general completeness theorem says that a formula is provable in the fuzzy predicate logic BL∀ iff it is a general BL-tautology (of predicate logic).

The general completeness theorem says that a formula φ is provable in BL iff it is a general BL-tautology, i.e., a tautology for each (linearly ordered) BL-algebra L. Basic fuzzy predicate logic has the same formulas as classical predicate logic (they are built from predicates of arbitrary arity using object variables, connectives &, →, truth constant 0 and quantifiers ∀, ∃.

(Hydrogen atoms connected to the benzene ring are shown for completeness in the above structural formulas. The more usual custom, which will be followed hereafter, omits them).

The question is whether completeness also holds: for example, the formula □A → □□A, which is valid on all transitive frames, is indeed provable in GL, as was mentioned in Section 1.