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étymologie

quasiergodic theorem - traduction vers russe

THEOREM

Lob's Theorem; Löb's Theorem; Lob's theorem; Loeb's theorem; Loeb theorem; Lob theorem; Löb theorem; Loeb's Theorem

quasiergodic theorem

математика

квазиэргодическая теорема

divergence theorem

$</math> approaches <math>\operatorname{div} \mathbf{F}</math>$

GENERALIZATION OF THE FUNDAMENTAL THEOREM IN VECTOR CALCULUS

Gauss' theorem; Gauss's theorem; Gauss theorem; Ostrogradsky-Gauss theorem; Ostrogradsky's theorem; Gauss's Theorem; Divergence Theorem; Gauss' divergence theorem; Ostrogradsky theorem; Gauss-Ostrogradsky theorem; Gauss Ostrogradsky theorem; Gauss–Ostrogradsky theorem

математика

теорема о дивергенции

теорема Гаусса-Остроградского

formal theorem

IN MATHEMATICS, A STATEMENT THAT HAS BEEN PROVED

Theorems; Proposition (mathematics); Theorum; Mathematical theorem; Logical theorem; Formal theorem; Theorem (logic); Mathematical proposition; Hypothesis of a theorem

математика

формальная теорема

Définition

theorem

n.

Proposition (to be demonstrated), position, dictum, thesis.

Afficher plus de définitions

Wikipédia

Löb's theorem

In mathematical logic, Löb's theorem states that in Peano arithmetic (PA) (or any formal system including PA), for any formula P, if it is provable in PA that "if P is provable in PA then P is true", then P is provable in PA. If Prov(P) means that the formula P is provable, we may express this more formally as

If

PA\,\vdash \,{{\rm {Prov}}(P)\rightarrow P}

then

PA\,\vdash \,P

An immediate corollary (the contrapositive) of Löb's theorem is that, if P is not provable in PA, then "if P is provable in PA, then P is true" is not provable in PA. For example, "If $1+1=3$ is provable in PA, then $1+1=3$ " is not provable in PA.

Löb's theorem is named for Martin Hugo Löb, who formulated it in 1955. It is related to Curry's paradox.

https://en.wikipedia.org/wiki/Löb's theorem

Traduction de &#39quasiergodic theorem&#39 en Russe