TOR

Fabin Rasheed
1 owner
Ethereum
Equation: P(u,v) = (cos u, sin u, cos v)/(√2 − sin v) Γ⁺_{k,d}(t) = P(t + 2πk/m + dδ, t) Γ⁻_{l,d}(t) = P(−t + 2πl/m − dδ, t) K_d = ⋃_{k=0}^{m−1} Γ⁺_{k,d}(S¹) ∪ ⋃_{l=0}^{m−1} Γ⁻_{l,d}(S¹) a_{k,d} = 2π(k + 1/2)/m + dδ b_{l,d} = 2π(l + 1/2)/m − dδ s^{(d)}_{klq} = P((a_{k,d}+b_{l,d})/2 + qπ, (b_{l,d}−a_{k,d})/2 + qπ) Σ_d = {s^{(d)}_{klq} : k,l ∈ {0,…,m−1}, q ∈ {0,1}} g_d(s) = dist(s,K_d) e_u = P_u/||P_u|| n = (P_u × P_v)/||P_u × P_v|| e_v = n × e_u Q_d(s) = [e_u e_v n] evaluated at s M_{d,0} = 1 + √2 M_{d,L} = max{1 + √2, max_{s∈Σ_d}(||s|| + ηg_d(s))} ρ_{d,L}(s) = ηg_d(s)/M_{d+1,L−1} A_{d,0} = K_d A_{d,L} = K_d ∪ ⋃_{s∈Σ_d} {s + ρ_{d,L}(s)Q_d(s)x : x ∈ A_{d+1,L−1}} 0 < η ≤ 1
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