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Manuscript I-B-VP-2@1 · I-B-VP-2-v1.tex · definition · f4bd2b11

Definition: Apex-diffracted positive relation

The geometric and apex relations · lines 759–782

I-B-VP-2@1#def:diffraction, I-B-VP-2@1#eq:Drelation, I-B-VP-2@1#eq:Bangles

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Define

D_{ap}^{+} = ⎩ ⎨ ⎧ (X, κ; X^{'}, κ^{'}) : F_{ap} = 0, (κ, κ^{'}) = λ d_{X, X^{'}} F_{ap}, λ T > 0 ⎭ ⎬ ⎫ .

No angular covector occurs in this relation. The angular transition set is

B_{α} = {δ (mod 2 π) : cos δ = cos (π / α)} .

Displayed formulas in this passage

I-B-VP-2@1#eq:Drelation · line 762
$D_{ap}^{+} = ⎩ ⎨ ⎧ (X, κ; X^{'}, κ^{'}) : F_{ap} = 0, (κ, κ^{'}) = λ d_{X, X^{'}} F_{ap}, λ T > 0 ⎭ ⎬ ⎫ .$
I-B-VP-2@1#eq:Bangles · line 776
$B_{α} = {δ (mod 2 π) : cos δ = cos (π / α)} .$

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