Bibliotheca Hagiographica Graeca (Abbreviated as BHG), Vol. - download pdf or read online

By Halkin, Francois

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Additional info for Bibliotheca Hagiographica Graeca (Abbreviated as BHG), Vol. III: Supplement, appendices et tables

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1)), therefore it always exist γτ➔ α11 for every γτ➔α1 . Next, suppose that the matrix S with the disseminator δ and base ρ on the carrier α € sγτ➔α1 , α1 r is admissible for γτ➔α1 below α1 , then it holds the following proposition ϕ♣χ✝ , δ, γτ➔α1 , ρ, S q: ❉α✶ ♣γτ➔α ➔ α✶ ❫ αK♣δ, γτ➔α , α✶, ρ, S qq 1 1 60 Chapter II. Special Theory below α1 , that is after its -bounding by the cardinal α1 . This proposition ϕ itself is from the class Σn , because it includes Σn -formula K❅n . 4 [27] γτ n belongs to SINn➔α1 too.

2) below α0 ✏ α1 . ✪ τ ✶ : χ✝ 2 1 2 2 2 62 Chapter II. 8 (About disseminator) 1) Let ✟ (i) sτ1 , τ2 r ❸ dom αSf➔α1 , γτ2 (ii) (iii) ✟ € dom αSf➔α , δτ➔α ➔ γτ➔α and τ3 1 1 3 Then 1 2 δτ➔3α1 € SINn➔α ; 1 ↕ τ3 ; α ✏ 0. a➔ τ τ2 1 3 ↕ γτ➔α . 1 1 Analogously for δqτ➔3α1 . 2) Let α-matrix S of characteristic a on a carrier α be admissible for γτ➔α1 along with its disseminator δ and base ρ below α1 , then tτ ✶ : δ ➔ γτ➔✶α ➔ γτ➔α ✉ ❸ dom αSf➔α 1 1 1 ✟ . Proof. 5 1), but now the special properties of matrix disseminator of unit or zero characteristic involves the singular situation.

2) below α0 ✏ α1 . ✪ τ ✶ : χ✝ 2 1 2 2 2 62 Chapter II. 8 (About disseminator) 1) Let ✟ (i) sτ1 , τ2 r ❸ dom αSf➔α1 , γτ2 (ii) (iii) ✟ € dom αSf➔α , δτ➔α ➔ γτ➔α and τ3 1 1 3 Then 1 2 δτ➔3α1 € SINn➔α ; 1 ↕ τ3 ; α ✏ 0. a➔ τ τ2 1 3 ↕ γτ➔α . 1 1 Analogously for δqτ➔3α1 . 2) Let α-matrix S of characteristic a on a carrier α be admissible for γτ➔α1 along with its disseminator δ and base ρ below α1 , then tτ ✶ : δ ➔ γτ➔✶α ➔ γτ➔α ✉ ❸ dom αSf➔α 1 1 1 ✟ . Proof. 5 1), but now the special properties of matrix disseminator of unit or zero characteristic involves the singular situation.

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Bibliotheca Hagiographica Graeca (Abbreviated as BHG), Vol. III: Supplement, appendices et tables by Halkin, Francois


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