No explanation, just a new notation and the minimal alg list needed to learn square-1.

Notation:

R = Move the right half of the puzzle 180 degrees (clockwise)

u = move the U slice clockwise one “notch” Could be either (1,0) or (2,0) by old notation depending on what piece is to the right of the U notch.

u2 = move the U slice clockwise 2 “notches” Only used if there are 2 edges to he right of the U notch.

U = move the U slice clockwise 90 degrees. (3,0) in old notation

u4 = (4,0) in old notation

u5 = (5,0) in old notation

U2 = 180 degrees, (6,0)

Method:

Cubeshape: R u d’ R’ U’ d4′ R u2′ D R u’ d’ R U’ R

M2: u R u’ d’ R’

single EO: d’ R U’ R’ u4 d R u4′ d’ R’ U R

J/J: R U’ R’ U D R D’ R’

N/J: R U R’ U’ R U R’ U’ R

Adj/adj: d R U’ R’ u d R u d’ R’

Opp/opp: u R u’ d’ R’ U2 R u d R’

Pure parity: R U’ R’ D R D’ R’ D R u R’ d R u’ R’ u4 R d2′ R’ d2 R u4′ d R U R’

Flip E Slice: R U2′ R U2′ R