Distributivita

Distributivita je v matematice, zejména v algebře, vlastnost binární operace vůči jiné binární operaci, říkající, že můžeme tuto operaci distribuovat přes jinou operaci. Je zobecněním běžné distributivity násobení vůči sčítání čísel, kdy můžeme roznásobit sčítání.

Definice

Binární operace je na množině distributivní vůči operaci , jestliže pro každé , a v platí:

  • ;
  • .

Příklady distributivity

Nejznámější příklady distributivní binárních operací je násobení (a ⋅ b) vůči sčítání (a + b) reálných čísel.

7 × (3 + 2) = 7 × 5 = 35 = 21 + 14 = (7 × 3) + (7 × 2)

Další ukázky distributivních binárních operací jsou například: násobení vůči sčítání komplexních čísel, násobení vektorů skalárem vůči jejich sčítání vektorů na vektorových prostorech, umocňování vůči násobení reálných nebo komplexních čísel (ovšem pouze zleva, zprava nikoliv – umocňování není komutativní operace).

Zvláštním příkladem je distributivita v Booleově algebře, neboť zde jsou dvě operace distributivní vůči sobě navzájem:

  • ;
  • .

Odkazy

Související články

Externí odkazy

Read other articles:

サテアヤム バリ料理 パダン料理 インドネシア料理(インドネシアりょうり)は、インドネシアの多民族文化を反映し、バリ料理(英語版)、ジャワ料理(英語版)、スンダ料理(英語版)、マカッサル料理(英語版)、マナド料理(英語版)、パダン料理、バタク料理(英語版)などの各民族の料理を包含する。日本でよく知られているナシゴレンの他、インドネシア

 

VenusAlbum mini karya Hello VenusDirilis9 Mei 2012Durasi12:52Label Tricell Media NHN Entertainment Hello Venus Venus(2012) What Are You Doing Today?(2012) Singel dalam album Venus VenusDirilis: 9 Mei 2012 Sampul alternatifSingel dalam album Venus Like a WaveDirilis: 4 Juli 2012 Venus adalah album mini debut dari grup vokal wanita asal Korea Selatan Hello Venus. Album ini dirilis pada tanggal 9 Mei 2012, oleh Tricell Media dan didistribusikan oleh NHN Entertainment. Venus dirilis sebagai l...

 

Hypothesis to explain the origins and composition of the Torah Diagram of the 20th century documentary hypothesis. J: Yahwist (10th–9th century BCE)[1][2]E: Elohist (9th century BCE)[1]Dtr1: early (7th century BCE) Deuteronomist historianDtr2: later (6th century BCE) Deuteronomist historianP*: Priestly (6th–5th century BCE)[3][2]D†: DeuteronomistR: redactorDH: Deuteronomistic history (books of Joshua, Judges, Samuel, Kings) The documentary hypothe...

Not to be confused with One Ayala Tower 1, an office building part of One Ayala. Office in Makati, PhilippinesTower One & Exchange PlazaGeneral informationStatusCompletedTypeofficeLocation6767 Ayala Avenue corner Paseo de Roxas, Makati, PhilippinesCoordinates14°33′23.27″N 121°1′20.44″E / 14.5564639°N 121.0223444°E / 14.5564639; 121.0223444Construction started1993Completed1996Opening1996OwnerAyala CorporationManagementAyala Property Management Corporatio...

 

American television series Not to be confused with The Flash (2014 TV series). The FlashGenre Action Drama Superhero Based onBarry Allenby Robert KanigherCarmine InfantinoDeveloped by Danny Bilson Paul De Meo Starring John Wesley Shipp Amanda Pays Alex Désert Theme music composerDanny ElfmanComposerShirley WalkerCountry of originUnited StatesOriginal languageEnglishNo. of seasons1No. of episodes22ProductionExecutive producers Danny Bilson Paul De Meo Producers Don Kurt Gail Morgan Hickman Ci...

 

قراصنة الكاريبي: في بحار غريبةPirates of the Caribbean: On Stranger Tides (بالإنجليزية) الشعارملصق الفيلممعلومات عامةالتصنيف فيلم ثلاثي الأبعاد الصنف الفني  القائمة ... فيلم فنتازيا — فيلم عجرفة — فيلم زومبي — فيلم صيد كنوز — فيلم كوميدي — فيلم أكشن — فيلم مغامرة — فيلم قراصنة الموضوع قر...

هذه المقالة يتيمة إذ تصل إليها مقالات أخرى قليلة جدًا. فضلًا، ساعد بإضافة وصلة إليها في مقالات متعلقة بها. (أكتوبر 2015) وجهات طيران الخليج تشمل هذه المقالة جميع الوجهات التي تخدمها شركة طيران الخليج في ابريل 2014.[1][2] بلد مدينة مطار ملاحظة مصدر Afghanistan كابل (مدينة) مطار ك...

 

Universitas Swadaya Gunung JatiLambang Universitas Swadaya Gunung Jati.JenisPerguruan tinggi swastaDidirikan16 Januari 1961RektorProf. Dr. Ir. H. Achmad Faqih, M.Si.[1]LokasiCirebon, Jawa Barat, IndonesiaKampusKampus 1 : Jl. Pemuda No.32 45132 CirebonKampus 2 : Jl. Perjuangan CirebonKampus 3 : Jl. Terusan Pemuda CirebonKampus 4 : Jl. Terusan Bima CirebonSitus webSitus Resmi Unswagati, Cirebon Universitas Swadaya Gunung Jati disingkat Unswagati atau UGJ adalah sebua...

 

Sri Lankan singing competition series This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: The Voice Kids Sri Lankan TV series – news · newspapers · books · scholar · JSTOR (December 2023) (Learn how and when to remove this template message) The Voice KidsGenreReality television, Singing competitionBased onT...

進徳女子高等学校 北緯34度22分42.5秒 東経132度28分20.1秒 / 北緯34.378472度 東経132.472250度 / 34.378472; 132.472250座標: 北緯34度22分42.5秒 東経132度28分20.1秒 / 北緯34.378472度 東経132.472250度 / 34.378472; 132.472250国公私立の別 私立学校設置者 学校法人進徳学園設立年月日 1908年創立者 永井龍潤共学・別学 女子校課程 全日制課程単位制・学年制 学年制...

 

Catholic archbishop Most ReverendThomas F. KennedyRector of the Pontifical North American CollegeChurchCatholic ChurchSeeTitular Archbishop of Seleucia in IsauriaAppointedJune 17, 1915Term endedAugust 28, 1917OrdersOrdinationJuly 24, 1887by Lucido ParocchiConsecrationDecember 29, 1907by Girolamo Maria GottiPersonal detailsBornMarch 23, 1858Plymouth Meeting, Pennsylvania, USADiedAugust 28, 1917(1917-08-28) (aged 59)Rome, Italy Thomas Francis Kennedy (March 23, 1858 – August 28...

 

American TV series or program The NightlifeStarringNick CannonAaron FreshChloe WangCountry of originUnited StatesOriginal languageEnglishNo. of seasons1No. of episodes4ProductionExecutive producerNick CannonRunning time30 minutesProduction companyNickelodeon ProductionsOriginal releaseNetworkTeenNickReleaseAugust 5 (2010-08-05) –August 26, 2010 (2010-08-26) The Nightlife is a dance-themed television series that originally aired on TeenNick.[1] It was hosted by Ni...

Sporting contest For the men's tournament, see FIBA Africa Under-20 Championship. The FIBA Africa Under-20 Championship for Women was a basketball competition in the International Basketball Federation's FIBA Africa zone. The event was held only twice, in 2002 and 2006, before being cancelled. The winners competed in the FIBA Under-21 World Championship for Women. Summary Year Host Final Third-place game Champion Score Second Place Third Place Score Fourth Place 2002 Details Tunis Tunisia –...

 

Source code management software Azure DevOps ServerDeveloper(s)MicrosoftInitial release2005; 18 years ago (2005)Stable release2022 / December 6, 2022; 12 months ago (2022-12-06)[1] Operating systemMicrosoft WindowsTypeApplication lifecycle managementLicenseTrialwareWebsiteazure.microsoft.com/en-us/services/devops/server/  Azure DevOps Server (formerly Team Foundation Server (TFS) and Visual Studio Team System (VSTS)) is a Microsoft product that...

 

Archaeological site in Texas, United States United States historic placeLubbock Lake SiteU.S. National Register of Historic PlacesU.S. National Historic Landmark Visitor center and museumLubbock Lake SiteShow map of TexasLubbock Lake SiteShow map of the United StatesNearest cityLubbock, TexasCoordinates33°37′19″N 101°53′23″W / 33.62194°N 101.88972°W / 33.62194; -101.88972Area300 acres (120 ha)NRHP reference No.71000948[1]Significant d...

Dam in Şanlıurfa-Adıyaman, TurkeyAtatürk DamAtatürk DamLocation of Atatürk Dam in TurkeyOfficial nameAtatürk DamLocationŞanlıurfa-Adıyaman, TurkeyCoordinates37°28′54″N 38°19′03″E / 37.48167°N 38.31750°E / 37.48167; 38.31750Construction began1983Opening date1992Operator(s)State Hydraulic Works (DSİ)Dam and spillwaysImpoundsEuphratesHeight169 m (554 ft)Length1,819 m (5,968 ft)ReservoirCreatesAtatürk ReservoirTotal...

 

Quick Ishida☖ pieces in hand: –987654321 香桂銀金王金銀桂香1 飛     角 2歩 歩歩歩歩 歩歩3      歩  4 歩歩      5         6歩歩 歩歩歩歩歩歩7 角飛      8香桂銀金玉金銀桂香9☗ pieces in hand: – In shogi, Quick Ishida, Rapid Ishida or Ishida Q...

 

Alexi LalasninsalaPaɣa bee dooDoo O ya TiŋgbaŋAmerica Country for sportAmerica YumaŋliAlexi Daŋ yuliLalas Doɣam dabsili1 Silimin gɔli June 1970 Dɔɣim TiŋaBirmingham TizoGreg Lalas Tumabol'ŋmɛra, musician Position played on team / specialitydefender Shikuru shɛli o ni chaŋCranbrook Educational Community, Cranbrook Schools Tuma piligibu1988 Tuma naabu2003 Diɛma ni yiɣi jamBolli Participant in1996 Summer Ol...

テレビ番組・中継内での各種情報(終了した番組・中継を含みます)は、DVDやBlu-rayなどでの販売や公式なネット配信、または信頼できる紙媒体またはウェブ媒体が紹介するまで、出典として用いないで下さい。検証可能性に基づき除去される場合があります。 志村(しむら) けん 志村けんの像本名 志村(しむら) 康徳(やすのり)ニックネーム けんちゃんシムケン...

 

Brazilian television series As CariocasDVD coverAlso known asThe CariocasGenre Comedy Drama Created byEuclydes MarinhoBased onAs Cariocasby Sérgio PortoWritten by Euclydes Marinho Adriana Falcão Clarice Falcão Cláudia Tajes Gregório Duvivier Marcelo Saback Directed by Daniel Filho Amora Mautner Cris D'Amato Starring Alinne Moraes Adriana Esteves Paola Oliveira Fernanda Torres Cintia Rosa Sônia Braga Grazi Massafera Alessandra Negrini Deborah Secco Angélica Narrated byDaniel FilhoOpenin...

 

Strategi Solo vs Squad di Free Fire: Cara Menang Mudah!