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A simple example of return mapping

A simple example of return mapping. Return mapping for D m= 1. The multipole number ℓ = 6 from the WMAP ILC map :. m F ℓ, m. (3.3140, 6.2222). 0 3.1416. (3.1416, 1.2783). Phase of m=1 and m=2 form a point (x,y)=(1.2783, 5.9600). 1 1.2783. (1.2783, 5.9600).

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A simple example of return mapping

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  1. A simple example of return mapping Return mapping for Dm=1 The multipole number ℓ = 6 from the WMAP ILC map : m Fℓ,m (3.3140, 6.2222) 0 3.1416 (3.1416, 1.2783) Phase of m=1 and m=2 form a point (x,y)=(1.2783, 5.9600) 1 1.2783 (1.2783, 5.9600) (6.2222, 3.8744) 2 5.9600 (5.9600, 3.3140) 3 3.3140 Fℓ,m+1 (5.9600, 3.3140) (3.3140, 6.2222) 4 6.2222 (6.2222, 3.8744) 5 3.8744 Phases of m=0 and m=1 form a point with coordinate (x,y)=(3.1416, 1.2783) (3.8744, 1.1580) 6 1.1580 (3.8744, 1.1580) Fℓ,m

  2. A simple example of return mapping Return mapping for Dm=2 m Fℓ,m (5.9600, 6.2222) 0 3.1416 Phases of m=0 and m=2 form a point (x,y)=(3.1416, 5.9600) (3.1416, 5.9600) 1 1.2783 (1.2783, 3.3140) 2 5.9600 3 3.3140 (5.9600, 6.2222) Fℓ,m+2 (3.3140, 3.8744) 4 6.2222 (3.3140, 3.8744) Phases of m=1 and m=3 form a point (x,y)=(1.2783, 3.3140) 5 3.8744 (6.2222, 1.1580) 6 1.1580 (6.2222, 1.1580) Fℓ,m

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