Share to:

Numerus integer

Systemata Numerica Mathematicae
Numeri Elementarii
Naturales $\mathbb {N}$ {0,1,2,3,...} sive {1,2,3,...} Primi $\mathbb {P}$ {2,3,5,7,11,...} Abundantes Amicabiles Compositi Defectivi Perfecti Sociabiles Integri $\mathbb {Z}$ {...,-2,-1,0,+1,+2,...} Pares {...,-2,0,+2,...} Impares {...,-3,-1,+1,+3,...} Rationales $\mathbb {Q}$ Reales $\mathbb {R}$ Irrationales Complexi ℂ Algebraici Transcendentes Numerus pi $\pi =3.14159265358979\ldots$ Numerus Euleri $e=2.718281828459045\ldots$ Numerus imaginarius $i={\sqrt {-1}}$ Quaterni $\mathbb {H}$ Octoni $\mathbb {O}$ Infinitas $\infty$
Variae radices
Radix binaria(2) Radix octalis(8) Radix decimalis(10) Radix sedecimalis(16)

Numerus integer est vel numerus naturalis, vel zerum, vel negativus numeri cuiusdam naturalis.

Cum subtrahitur numerus naturalis de alio naturali, exsultat interdum non naturalis sed numerus qui est minor quam nullus. Numeri naturales et hi nullo minores appellantur universi numeri integri. Numeri integri generaliter littera $\mathbb {Z}$ designantur. Ergo

\mathbb {Z} =\{\ldots \,-3,-2,-1,0,1,2,3,\ldots \}

Nullo minores integri appellantur negativi, maiores positivi. Neque est integer minimus neque maximus.

Numeri integri in linea numerorum

Possumus hos numeros in linea monstrare. Numeri positivi ad dexteram, negativi ad sinistram eunt. Linea est linea numerorum.

Cum multiplicantur numeri positivi duo, quoque negativi duo, resultat numerus positivus. Cum autem multiplicatur positivus cum negativo, resultat negativus. Aequalia ut multiplicationis sunt resultata divisionis.

Structura

Numeri integri anellus exemplare continet. Hoc est, numeri integri cum additione sunt caterva, et copia numerorum integrum clausa est sub multiplicatione.

Theoria numerorum est pars artis mathematicae quae de integris tractat.

Algebricae qualitates

In operationibus additionis multiplicationis $\mathbb {Z}$ copia clausa est: summae quae e multiplicationibus additionibusque sunt effectae semper integri numeri erunt. Praeterea, si addimus negativos numeros ac zerum, Z erit copia clausa in operatione subtractionis quoque: si a et b integri numeri sunt, etiam a-b erit. Sed Z non est copia clausa in operatione divisionis, nam summa divisionis duorum integrorum numerorum (1/2) non semper integer numerus erit.

Ista tabula aliquos qualitates additionis multiplicationisque describit inter omnes integri a, b, c. Quod hae sententiae verae sunt, scimus numeros integros annellum esse.

	Additio	Multiplicatio
clausa copia:	a + b integer est	a × b integer est
Coniuncti numeri:	a + (b + c) = (a + b) + c	a × (b × c) = (a × b) × c
Commutatio numerorum:	a + b = b + a	a × b = b × a
Neuter numerus est:	a + 0 = a	a × 1 = a
Oppositus numerus est:	a + (−a) = 0
Distributi numeri	a × (b + c) = (a × b) + (a × c)
Absorbens numerus est:		a x 0 = 0

mathematica

Haec stipula ad mathematicam spectat. Amplifica, si potes!

Read other articles:

My Friends (Stereophonics song)

2007 single by StereophonicsMy FriendsSingle by Stereophonicsfrom the album Pull the Pin B-sideNitedriveReleased3 December 2007Recorded2007GenrePost-grungeLength3:35LabelV2Songwriter(s)Kelly JonesProducer(s)Kelly JonesJim LoweStereophonics singles chronology It Means Nothing (2007) My Friends (2007) You're My Star (2008) Music videoMy Friends on YouTube My Friends is a single released by Stereophonics from the album Pull the Pin. It was released on 10 December 2007, reaching #32 in the UK Sin...

Atari

Untuk kegunaan lain, lihat branding perusahaan lain. AtariJenispublikIndustrikonsumen elektronik, video gameDidirikan1972 sebagai Atari, Inc. 1984 sebagai Atari Corporation dan Atari Games1998 sebagai Atari Interactive (divisi Hasbro Interactive)2003 sebagai Atari Interactive (dahulu Infogrames Interactive/Hasbro Interactive)2003 sebagai Atari Inc. (dahulu Infogrames Inc./GT Interactive)Produkvideo game, konsumen elektronikSitus webwww.atari.com Atari adalah perusahaan yang didirikan pa...

Greenacres, Florida

City in Florida, United StatesGreenacres, FloridaCityCity of Greenacres FlagSealMotto: A Good Place to LiveLocation of Greenacres, FloridaCoordinates: 26°37′41″N 80°8′7″W / 26.62806°N 80.13528°W / 26.62806; -80.13528Country United StatesState FloridaCounty Palm BeachIncorporated (Town of Greenacres City)May 24, 1926[1]Reincorporated (City of Greenacres City)December 4, 1945[2]Incorporated (City of Greenacres)November 6, 1990&#...

Гремесе

ГремесеGrémecey Країна Франція Регіон Гранд-Ест Департамент Мозель Округ Саррбур-Шато-Сален Кантон Шато-Сален Код INSEE 57257 Поштові індекси 57170 Координати 48°48′03″ пн. ш. 6°24′22″ сх. д.H G O Висота 205 - 313 м.н.р.м. Площа 9,04 км² Населення 104 (01-2020[1]) Густота 11,28 о

SKNFA Superliga

SKNFA Superliga SKNFA Superliga 2023 Datos generalesDeporte FútbolSede San Cristóbal y Nieves San Cristóbal y NievesConfederación ConcacafContinente CaribeNombre oficial Saint Kitts Premier DivisionOrganizador SKNFAEquipos participantes 12Datos históricosFundación 1980Primer campeón Village Superstars FC (1980)Datos estadísticosCampeón actual Village Superstars (2023)Más campeonatos Newtown United FC (16)Datos de competenciaCategoría 1 Descenso a SKNFA Primera DivisiónClasifi...

Oural (Kazakhstan)

Pour les articles homonymes, voir Oural. Oural Héraldique Le centre administratif d'Oural Administration Pays Kazakhstan Province (oblys) Kazakhstan-Occidental Démographie Population 235 819 hab.[1] (2021) Densité 337 hab./km2 Géographie Coordonnées 51° 14′ 00″ nord, 51° 22′ 00″ est Superficie 70 000 ha = 700 km2 Localisation Géolocalisation sur la carte : Kazakhstan Oural Géolocalisation sur la carte&...

安奈とも

この項目には性的な表現や記述が含まれます。免責事項もお読みください。あんなとも安奈ともプロフィール生年月日 1983年5月6日現年齢 40歳出身地日本・東京都血液型 A型公称サイズ[いつ?]身長 / 体重 160 cm / 45 kgBMI 17.6（低体重）スリーサイズ 84 - 58 - 86 cm 単位系換算身長 / 体重 5′ 4″ / 99 lbスリーサイズ 33 - 23 - 34 in活動ジャンルアダルトビデオ出演期間 2006年 -

Người bướm

Bài này không có nguồn tham khảo nào. Mời bạn giúp cải thiện bài bằng cách bổ sung các nguồn tham khảo đáng tin cậy. Các nội dung không có nguồn có thể bị nghi ngờ và xóa bỏ. Nếu bài được dịch từ Wikipedia ngôn ngữ khác thì bạn có thể chép nguồn tham khảo bên đó sang đây. Người BướmDataĐược ghi chép lần đầu16 tháng 11 năm 1966Quốc giaHoa KỳVùngPoint Pleasant, Tây Virginia, Tây Virginia N...

Bahasa Quenya

Artikel ini perlu dikembangkan agar dapat memenuhi kriteria sebagai entri Wikipedia.Bantulah untuk mengembangkan artikel ini. Jika tidak dikembangkan, artikel ini akan dihapus. Bahasa Quenya Eldarin Dibuat olehJ. R. R. TolkienTanggalc. 1910–1973Pengaturan dan penggunaanDunia fiksi Dunia TengahTujuanBahasa yang dibangun Bahasa artistikBahasa fiksiQuenya Sistem penulisanLatinTengwarCirthSaratiKode bahasaISO 639-3qyaLINGUIST ListqyaGlottologquen1234[1]Lokasi penuturanPeta bahasa l...

QuarantineChat

Artikel ini sebatang kara, artinya tidak ada artikel lain yang memiliki pranala balik ke halaman ini.Bantulah menambah pranala ke artikel ini dari artikel yang berhubungan atau coba peralatan pencari pranala.Tag ini diberikan pada Desember 2022. QuarantineChatBerkas:QuarantineChat notification.pngNotifikasi yang didapatkan setelah aplikasi DialUp dibuka setelah registerasi di situs web QuarantineChat.PengembangDanielle BaskinMax HawkinsTipeLayanan jejaring sosial berbasis suaraTanggal diluncu...

Tayla (footballer)

Brazilian footballer In this Portuguese name, the first or maternal family name is Pereira and the second or paternal family name is Santos. Tayla Personal informationFull name Tayla Carolina Pereira dos Santos[1]Date of birth (1992-05-09) 9 May 1992 (age 31)Place of birth Mongaguá, Brazil[2]Height 1.74 m (5 ft 9 in)[1]Position(s) DefenderTeam informationCurrent team SantosNumber 2Senior career*Years Team Apps (Gls)2008–2009 Santos 2010–201...

Magic (music magazine)

MagicManaging EditorChristophe BasterraCategoriesMonthly Music MagazineFounded1995CountryFranceBased inParisLanguageFrenchWebsiteMagic Magic is a French music magazine which is released on a monthly basis. It was formed out of the ashes of a small fanzine produced by music aficionados from France in 1995. The magazine's target readership is composed of young adults, students and young professionals who are keen to pursue the latest fashionable trend in music (and other forms of culture). Refe...

International Criminal Court investigation in the Philippines

Situation in the Republic of the PhilippinesThe seal of the International Criminal CourtFile no.ICC-01/21Date openedJuly 15, 2021 (2021-07-15)Incident(s)Philippine drug warCrimescrimes against humanity:Status of suspect The International Criminal Court investigation in the Philippines, or the situation in the Republic of the Philippines, is an ongoing investigation by the International Criminal Court (ICC) into alleged crimes against humanity committed durin...

Triathlon at the 2010 Asian Games – Men's individual

Men's individual at the 2010 Asian GamesVenueGuangzhou Triathlon VenueDate14 November 2010Competitors21 from 12 nationsMedalists Yuichi Hosoda Japan Ryosuke Yamamoto Japan Dmitriy Gaag Kazakhstan← 20062014 → Triathlon at the2010 Asian Gamesmenwomenvte Main article: Triathlon at the 2010 Asian Games The men's triathlon was part of the Triathlon at the 2010 Asian Games program, was held in Guangzhou Tr...

Thomas Hill Williams

United States Senator from Mississippi (1773–1850) Thomas Hill WilliamsUnited States Senatorfrom MississippiIn officeDecember 10, 1817 – March 3, 1829Preceded byPosition EstablishedSucceeded byThomas B. Reed Personal detailsBorn(1773-01-14)January 14, 1773Surry County, North CarolinaDiedDecember 7, 1850(1850-12-07) (aged 77)Robertson County, TennesseePolitical partyDemocratic-Republican, Jacksonian Thomas Hill Williams (January 14, 1773 – December 7, 1850)[1] was a...

Dennis J. O'Donovan

Who was an american Rev. Dennis J. O'Donovan[a] (died September 26, 1892) was an American Roman Catholic priest. Early in his priesthood, O'Donovan was a curate at Saint Augustine's in South Boston.[1] O'Donovan announced on January 14, 1877, that Fr. John Brennan would be leaving St. Mary's Church in Dedham, Massachusetts and St. Catherine's in Norwood, which was part of the same parish.[2] Many in the congregation had been unhappy with Brennan and the week before he ...

Contini clan

Contini clanFoundedEarly 1980sFounded byEdoardo ContiniFounding locationNaplesYears active1980s-presentTerritoryVarious neighborhoods in Naples. Territories in Rimini in Italy, Amsterdam in the Netherlands, Barcelona in Spain and Eastern EuropeEthnicityCampanianMembership150–250 full members, unknown number of associatesCriminal activitiesRacketeering, fraud, smuggling, extortion, drug trafficking, prostitution, money laundering, counterfeitAlliesMallardo clan Licciardi clan Di La...

محاولة اغتيال السفير السعودي في واشنطن

في 14 ذي القعدة 1432هـ الموافق لـ 11 أكتوبر 2011، زعم مسؤولون من الولايات المتحدة أن هناك مؤامرة من قبل الحكومة الإيرانية لاغتيال السفير السعودي في الولايات المتحدة عادل الجبير. وتم تسمية العملية في وسائل الإعلام «بمؤامرة الاغتيال الإيرانية» و «مؤامرة إيران الإرهابية»، في حين �...

Palestinian nationalism

Movement for self-determination and sovereignty of Palestine Further information: History of Palestinian nationality Palestinian liberation redirects here. For other uses of the term or organizations with that term in their name, see Palestinian liberation (disambiguation). Part of a series onPalestinians Demographics Definitions Palestine History Name People Nakba Diaspora Politics Previous Arab Higher Committee Depopulated villages All-Palestine Protectorate Government Fedayeen militias PLO...

Metanoia (song)

For other uses, see Metanoia (disambiguation). 2008 single by MGMTMetanoiaSingle by MGMTReleasedAugust 18, 2008GenreNoise pop, psychedelic rock, synth-pop, progressive rockLength13:49LabelColumbiaSongwriter(s)Andrew VanWyngarden, Ben GoldwasserMGMT singles chronology Electric Feel (2008) Metanoia (2008) Kids (2008) Metanoia is the special limited edition single release that was originally a b-side on MGMT's debut CD single Time to Pretend. It was released August 18, 2008,[1] available...

Ramoji Rao

Short Brothers

Hartsfield–Jackson Atlanta International Airport

جائزة الفيلم الأوروبي لأفضل كاتب سيناريو

Truncatella (gastropod)

Chautauqua Hall of Brotherhood

Nasty woman

Cadillac Cafe