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- Zhegalkin_polynomial abstract "Zhegalkin (also Zegalkin or Gegalkine) polynomials form one of many possible representations of the operations of boolean algebra. Introduced by the Russian mathematician I. I. Zhegalkin in 1927, they are the polynomials of ordinary high school algebra interpreted over the integers mod 2. The resulting degeneracies of modular arithmetic result in Zhegalkin polynomials being simpler than ordinary polynomials, requiring neither coefficients nor exponents. Coefficients are redundant because 1 is the only nonzero coefficient. Exponents are redundant because in arithmetic mod 2, x2 = x. Hence a polynomial such as 3x2y5z is congruent to, and can therefore be rewritten as, xyz.".
- Zhegalkin_polynomial wikiPageID "12152471".
- Zhegalkin_polynomial wikiPageLength "7640".
- Zhegalkin_polynomial wikiPageOutDegree "25".
- Zhegalkin_polynomial wikiPageRevisionID "664920017".
- Zhegalkin_polynomial wikiPageWikiLink Algebraic_normal_form.
- Zhegalkin_polynomial wikiPageWikiLink All-ones_vector.
- Zhegalkin_polynomial wikiPageWikiLink Boolean-valued_function.
- Zhegalkin_polynomial wikiPageWikiLink Boolean_algebra.
- Zhegalkin_polynomial wikiPageWikiLink Boolean_algebra_(introduction).
- Zhegalkin_polynomial wikiPageWikiLink Boolean_algebra_(logic).
- Zhegalkin_polynomial wikiPageWikiLink Boolean_algebra_(structure).
- Zhegalkin_polynomial wikiPageWikiLink Boolean_algebras.
- Zhegalkin_polynomial wikiPageWikiLink Boolean_domain.
- Zhegalkin_polynomial wikiPageWikiLink Boolean_function.
- Zhegalkin_polynomial wikiPageWikiLink Boolean_functions.
- Zhegalkin_polynomial wikiPageWikiLink Category:Boolean_algebra.
- Zhegalkin_polynomial wikiPageWikiLink Category:Logic.
- Zhegalkin_polynomial wikiPageWikiLink Eric_Temple_Bell.
- Zhegalkin_polynomial wikiPageWikiLink Finite_field.
- Zhegalkin_polynomial wikiPageWikiLink Free_Boolean_algebra.
- Zhegalkin_polynomial wikiPageWikiLink Galois_field.
- Zhegalkin_polynomial wikiPageWikiLink Ivan_Ivanovich_Zhegalkin.
- Zhegalkin_polynomial wikiPageWikiLink Linear_independence.
- Zhegalkin_polynomial wikiPageWikiLink Linearly_independent.
- Zhegalkin_polynomial wikiPageWikiLink Majority_function.
- Zhegalkin_polynomial wikiPageWikiLink Marshall_Harvey_Stone.
- Zhegalkin_polynomial wikiPageWikiLink Marshall_Stone.
- Zhegalkin_polynomial wikiPageWikiLink Matematicheskii_Sbornik.
- Zhegalkin_polynomial wikiPageWikiLink Median_operation.
- Zhegalkin_polynomial wikiPageWikiLink Ring_(mathematics).
- Zhegalkin_polynomial wikiPageWikiLink Square-free_polynomial.
- Zhegalkin_polynomial wikiPageWikiLink Stone_duality.
- Zhegalkin_polynomial wikiPageWikiLink Truth_value.
- Zhegalkin_polynomial wikiPageWikiLink Vector_space.
- Zhegalkin_polynomial wikiPageWikiLinkText "Zhegalkin polynomial".
- Zhegalkin_polynomial hasPhotoCollection Zhegalkin_polynomial.
- Zhegalkin_polynomial wikiPageUsesTemplate Template:Cite_book.
- Zhegalkin_polynomial wikiPageUsesTemplate Template:Cite_journal.
- Zhegalkin_polynomial wikiPageUsesTemplate Template:Merge_to.
- Zhegalkin_polynomial subject Category:Boolean_algebra.
- Zhegalkin_polynomial subject Category:Logic.
- Zhegalkin_polynomial comment "Zhegalkin (also Zegalkin or Gegalkine) polynomials form one of many possible representations of the operations of boolean algebra. Introduced by the Russian mathematician I. I. Zhegalkin in 1927, they are the polynomials of ordinary high school algebra interpreted over the integers mod 2. The resulting degeneracies of modular arithmetic result in Zhegalkin polynomials being simpler than ordinary polynomials, requiring neither coefficients nor exponents.".
- Zhegalkin_polynomial label "Zhegalkin polynomial".
- Zhegalkin_polynomial sameAs Polinômio_de_Zhegalkin.
- Zhegalkin_polynomial sameAs m.02vrhxz.
- Zhegalkin_polynomial sameAs Полином_Жегалкина.
- Zhegalkin_polynomial sameAs Поліном_Жегалкіна.
- Zhegalkin_polynomial sameAs Q4370006.
- Zhegalkin_polynomial sameAs Q4370006.
- Zhegalkin_polynomial wasDerivedFrom Zhegalkin_polynomial?oldid=664920017.
- Zhegalkin_polynomial isPrimaryTopicOf Zhegalkin_polynomial.