Sentence examples for the universal formula from inspiring English sources

In addition, the universal formula of R m is expressed as (Jia et al. 2007) R_{text{m}} = frac{{A_{text{eff}} }}{{P_{text{eff}} }}.

This is the case if, for example, the provability predicate ProvF x) has been chosen as a Σ01-formula: The Gödel sentence is then provably equivalent to the universal formula ∀x¬PrfF x, ⌈GF⌉).

Hence the universal formula & (Rrightarrow x vec {1}, w)=1) does not hold in the finite group H from (mathcal {A}_p^2{mathcal A}cap {mathcal Z}{mathcal N}_5{mathcal A}).

The ω rule is an analogue in the λ-calculus of the rule of inference under the same name in formal number theory, according to which one can conclude the universal formula ∀xφ provided one has proofs for φ(x := 0), φ(x := 1), ….

Hence the universal formula & (Rrightarrow w epsilon )=1) holds in H. Thus the set of universal formulas&(Rrightarrow w epsilon )=1) that do not hold in some finite group from (mathcal {A}_p^2{mathcal A}cap {mathcal Z}{mathcal N}_5{mathcal A}) and the set of such formulas which hold in every periodic group are recursively inseparable.

For the most part, every one of these makes a case different from every other -- and yet every one is convinced they have found the universal formula.

The show is broadcast weekly (and can also be downloaded afterwards) on Resonance FM, which describes itself as "the world's first radio art station, established by London Musicians' Collective...to provide a radical alternative to the universal formulae of mainstream broadcasting".

(4:429n) One might take this as Kant's intention to derive thereby the universal law formula from the Humanity formula: If something is absolutely valuable, then we must act only on maxims that can be universal laws.

The point is that there is no universal formula.

But those who rejected George Bush's searing and bloody pursuit of democracy should reflect on how they got what they sought.All talkNo universal formula can cut through the contradiction between values and interests in foreign policy that is why intervention in Vietnam and Somalia led to neglect in Rwanda, which set the scene for intervention once more in Bosnia and Iraq.

Now, by the universal coefficient formula, the torsion subgroup of (H_n X, {mathbb {Z}})) equals the torsion subgroup of (H^{n+1} X, {mathbb {Z}})).