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- Freshmans_dream abstract "The freshman's dream is a name sometimes given to the error (x + y)n = xn + yn, where n is a real number (usually a positive integer greater than 1). Beginning students commonly make this error in computing the power of a sum of real numbers. When n = 2, it is easy to see why this is incorrect: (x + y)2 can be correctly computed as x2 + 2xy + y2 using distributivity (or commonly known as the FOIL method). For larger positive integer values of n, the correct result is given by the binomial theorem.The name "freshman's dream" also sometimes refers to the theorem that says that for a prime number p, if x and y are members of a commutative ring of characteristic p, then (x + y)p = xp + yp. In this case, the "mistake" actually gives the correct result, due to p dividing all the binomial coefficients save the first and the last.".
- Freshmans_dream thumbnail Freshmans_Dream.svgwidth=300.
- Freshmans_dream wikiPageID "17373539".
- Freshmans_dream wikiPageID "24593748".
- Freshmans_dream wikiPageLength "54".
- Freshmans_dream wikiPageLength "6302".
- Freshmans_dream wikiPageOutDegree "1".
- Freshmans_dream wikiPageOutDegree "29".
- Freshmans_dream wikiPageRedirects Freshmans_dream.
- Freshmans_dream wikiPageRevisionID "365379178".
- Freshmans_dream wikiPageRevisionID "675723626".
- Freshmans_dream wikiPageWikiLink Abstract_algebra.
- Freshmans_dream wikiPageWikiLink Binomial_coefficient.
- Freshmans_dream wikiPageWikiLink Binomial_theorem.
- Freshmans_dream wikiPageWikiLink Category:Algebra.
- Freshmans_dream wikiPageWikiLink Category:Mathematics_education.
- Freshmans_dream wikiPageWikiLink Characteristic_(algebra).
- Freshmans_dream wikiPageWikiLink Commutative_ring.
- Freshmans_dream wikiPageWikiLink Distributive_property.
- Freshmans_dream wikiPageWikiLink Distributivity.
- Freshmans_dream wikiPageWikiLink Endomorphism.
- Freshmans_dream wikiPageWikiLink Exponentiation.
- Freshmans_dream wikiPageWikiLink FOIL_method.
- Freshmans_dream wikiPageWikiLink Factorial.
- Freshmans_dream wikiPageWikiLink Fermats_Little_Theorem.
- Freshmans_dream wikiPageWikiLink Fermats_little_theorem.
- Freshmans_dream wikiPageWikiLink Field_(mathematics).
- Freshmans_dream wikiPageWikiLink Fraction_(mathematics).
- Freshmans_dream wikiPageWikiLink Freshmans_dream.
- Freshmans_dream wikiPageWikiLink Frobenius_endomorphism.
- Freshmans_dream wikiPageWikiLink Modular_curve.
- Freshmans_dream wikiPageWikiLink Modular_field.
- Freshmans_dream wikiPageWikiLink Numerator.
- Freshmans_dream wikiPageWikiLink Polynomial_ring.
- Freshmans_dream wikiPageWikiLink Primality_test.
- Freshmans_dream wikiPageWikiLink Prime_number.
- Freshmans_dream wikiPageWikiLink Saunders_Mac_Lane.
- Freshmans_dream wikiPageWikiLink Sophomores_dream.
- Freshmans_dream wikiPageWikiLink Stephen_Cole_Kleene.
- Freshmans_dream wikiPageWikiLink Thomas_W._Hungerford.
- Freshmans_dream wikiPageWikiLink File:Freshmans_Dream.svg.
- Freshmans_dream wikiPageWikiLinkText "Freshman's dream".
- Freshmans_dream wikiPageWikiLinkText "freshman's dream".
- Freshmans_dream hasPhotoCollection Freshmans_dream.
- Freshmans_dream wikiPageUsesTemplate Template:Frac.
- Freshmans_dream wikiPageUsesTemplate Template:R_from_modification.
- Freshmans_dream subject Category:Algebra.
- Freshmans_dream subject Category:Mathematics_education.
- Freshmans_dream hypernym Name.
- Freshmans_dream type Redirect.
- Freshmans_dream comment "The freshman's dream is a name sometimes given to the error (x + y)n = xn + yn, where n is a real number (usually a positive integer greater than 1). Beginning students commonly make this error in computing the power of a sum of real numbers. When n = 2, it is easy to see why this is incorrect: (x + y)2 can be correctly computed as x2 + 2xy + y2 using distributivity (or commonly known as the FOIL method).".
- Freshmans_dream label "Freshman's dream".
- Freshmans_dream label "Freshmans dream".
- Freshmans_dream sameAs حلم_الطالب_المبتدئ.
- Freshmans_dream sameAs Brucoški_san.
- Freshmans_dream sameAs m.043l5gt.
- Freshmans_dream sameAs Freshmanxc4xb1n_rxc3xbcyasxc4xb1.
- Freshmans_dream sameAs Q4120528.
- Freshmans_dream sameAs Q4120528.
- Freshmans_dream wasDerivedFrom Freshmans_dream?oldid=365379178.
- Freshmans_dream wasDerivedFrom Freshmans_dreamoldid=675723626.
- Freshmans_dream depiction Freshmans_Dream.svg.
- Freshmans_dream isPrimaryTopicOf Freshmans_dream.
