1.AdjectiveBeing equivalent to the object whose constituents or parameters are reversed in order and mapped by some involution, particularly the inversion operator of a quasigroup.
Of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑i=0naixi is antipalindromic iff ∑i=0naixi=∑i=0n−an−ixi⟺ai=−an−i.
"x2−1 is an antipalindromic polynomial.; 172810 is an antipalindromic number with respect to base 10."
2.AdjectiveOf a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑i=0naixi is antipalindromic iff ∑i=0naixi=∑i=0n−an−ixi⟺ai=−an−i.
"x2−1 is an antipalindromic polynomial."
3.AdjectiveOf a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b−1: ∑i=0naibi is antipalindromic iff ∑i=0naibi=∑i=0n(b−1−an−i)bi⟺ai=b−1−an−i.
"172810 is an antipalindromic number with respect to base 10."