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antipalindromic

antipalindromic adjective: of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i.

Adjective

antipalindromic (not comparable)

  1. Of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i.
    • x²-1 is an antipalindromic polynomial.
  2. Of a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b-1: ∑ᵢ₌₀ⁿa_ibⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ibⁱ=∑ᵢ₌₀ⁿ(b-1-a_n-i)bⁱ⟺a_i=b-1-a_n-i.
    • 1728#95;#123;10#125; is an antipalindromic number with respect to base 10.

Questions about antipalindromic

What does antipalindromic mean?
Antipalindromic means of a polynomial, being equivalent to the polynomial with reversed and additively inverted coefficients: ∑ᵢ₌₀ⁿa_ixⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ixⁱ=∑ᵢ₌₀ⁿ-a_n-ixⁱ⟺a_i=-a_n-i.
What part of speech is antipalindromic?
Antipalindromic is an adjective.

Words near antipalindromic in the dictionary

  1. antipaedobaptist
  2. antipaedobaptists
  3. antipaedophile
  4. antipain
  5. antipairing
  6. antipalindromic
  7. antipaludic
  8. antipamozole
  9. antipandemic
  10. Antipangol
  11. antipanic

Source and license

Adapted from Wiktionary: antipalindromic (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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