INTEGERS AS VECTORS OF NATURAL NUMBERS -- [nat1, nat2] -- TO TOTALIZE SUBTRACTION (DIVISION REMAINS PARTIAL). VECTOR RULES DERIVE FROM CLOSURE OF DEFINED NATURAL DIFFERENCES. VECTORS REDUCE TO POSITIVE VECTOR: [m,0] : +m; NEGATIVE VCTR: [0,n] : -n; ZERO VCTR: [0,0] : 0 -- SO PREFIXES HIDE VECTORS: +m, -n . (Thanks to Marcus Kazmierczak.)
VECTOR A=[a1,a2]

VECTOR B=[b1,b2]

RESULT C=[c1,c2]

TOTL OPRATNS: A + B = [a1+a2,b1+b2],A-B=[a1+b2.a2+b1], A * B = [a1*b1+a2*b2,a1*b2+a2*b1]