λEnter Calculus CompanionRegistered manuscripts, kept distinct

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

The geometric and apex relations

The geometric and apex relations · lines 682–697

I-B-VP-2@1#eq:thetak, I-B-VP-2@1#eq:Qk

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For a chosen lift define

θ_{k} = α (δ - 2 π k), k \in Z,

R_{k}^{2} = r^{2} + r^{'2} - 2 r r^{'} cos θ_{k} + Z^{2}, Q_{k} = R_{k}^{2} - T^{2} .

Only finitely many $k$ satisfy $∣ θ_{k} ∣ \leq π$ on a fixed compact lifted angular patch.

Displayed formulas in this passage

I-B-VP-2@1#eq:thetak · line 686
$θ_{k} = α (δ - 2 π k), k \in Z,$
I-B-VP-2@1#eq:Qk · line 690
$R_{k}^{2} = r^{2} + r^{'2} - 2 r r^{'} cos θ_{k} + Z^{2}, Q_{k} = R_{k}^{2} - T^{2} .$

Nearby in this section