Ama-Integer kanye Nezakhiwo Zawo Ama-Integer angomunye wemibono eyisisekelo kakhulu kwizibalo, kodwa adlala indima ebalulekile empilweni yansuku zonke. Uma sibala izinto, sinquma amazinga okushisa angaphansi kuka-zero, sibala inani lezitezi ezingaphansi, noma siqopha inzuzo kanye nokulahlekelwa ebhizinisini, empeleni sibhekene nezinombolo eziphelele. Ukuqonda izinombolo eziphelele kanye nezakhiwo zazo kuzokwenza kube lula… Funda kabanzi
Indlela Esheshayo Yokuxazulula Izinkinga Zokulandelana Izinkinga zokulandelana (ukulandelana kwezinombolo) ziwuhlobo oluvamile lwenkinga oluvame ukuvela ezivivinyweni zokungena esikoleni, ezivivinyweni zokukhetha umsebenzi, ngisho nasezivivinyweni eziyisisekelo zokufaneleka. Umqondo ulula: ucelwa ukuthi uthole iphethini ochungechungeni lwezinombolo, bese unquma inombolo elandelayo (noma inombolo engekho). Nakuba zingase zibonakale ziyinkimbinkimbi, ukulandelelana kungaxazululwa ngokushesha uma... Funda kabanzi
Izicelo ze-Trigonometry ku-Astronomy I-Trigonometry igatsha lezibalo elifunda ubudlelwano phakathi kwama-engeli nobude obuseceleni konxantathu. Nakuba ngokuvamile kubhekwa njengento yesikole nje, i-trigonometry empeleni ingenye "yezilimi eziyinhloko" ze-astronomy. Cishe zonke izilinganiso ze-astronomy—kusukela ekunqumeni izikhundla zezinkanyezi, ukubala amabanga ezinto zasezulwini, kuya ekubikezeleni ukufiphala kwelanga—kubandakanya ama-engeli, imibuthano, kanye nezilinganiso ze-trigonometric ezifana ne-sine, i-cosine, … Funda kabanzi
Izisekelo Zethiyori Yezinombolo Ithiyori yezinombolo iyigatsha lezibalo elifunda izakhiwo zezinombolo eziphelele. Nakuba ibonakala ilula—njengoba izinombolo eziphelele zifaka kuphela …, -2, -1, 0, 1, 2, …—ithiyori yezinombolo inesakhiwo esicebile ngokumangalisayo. Imiqondo eminingi ebalulekile ezibalweni zanamuhla, i-cryptography, kanye nesayensi yekhompyutha isekelwe emibonweni eyisisekelo yethiyori yezinombolo, njengokuhlukana, ubuciko, kanye nokuhambisana. Isihloko … Funda kabanzi
Imithetho Yokuguqula kanye Nokuhlanganiswa Ezibalweni, ikakhulukazi emikhakheni yamathuba kanye nezibalo, sivame ukuhlangana nombuzo othi "zingaki izindlela" umcimbi ongenzeka ngazo. Isibonelo: zingaki izindlela zokuhlala ezikhona eqenjini labantu? Zingaki izindlela zokukhetha amalungu eqembu eqenjini labafundi? Imibuzo efana nale iphendulwa kusetshenziswa imithetho yokuguqula kanye nokuhlanganiswa, ezimbili… Funda kabanzi
Umqondo Wama-Polynomial Nezakhiwo Zawo Ama-Polynomial (noma ama-polynomial) angumqondo oyisisekelo kwizibalo, asetshenziswa kabanzi ku-algebra, i-calculus, izibalo, kanye nokulingisa izimo zangempela njengokukhula kwenani labantu, izindlela zokuhamba, kanye nokwenza ngcono. Naphezu kokulula kwawo okusobala, ama-polynomial anesakhiwo esihlelwe kahle kanye nezakhiwo ezibalulekile ezenza kube lula ukusebenza kwezibalo okuhlelekile. Lesi sihloko sixoxa… Funda kabanzi
Ukuhlaziywa Okuyinkimbinkimbi Kwezibalo Ukuhlaziywa okuyinkimbinkimbi kuyigatsha lezibalo elifunda imisebenzi enezinombolo eziyinkimbinkimbi kanye nezakhiwo zazo. Izinombolo eziyinkimbinkimbi, ezivame ukubhalwa ngesimo \( z = a + bi \) lapho \(a\) kanye \(b\) kuyizinombolo zangempela kanye \(i^2 = -1\), ekuqaleni kwavela njengethuluzi lokuxazulula izibalo ze-quadratic ezingenazo izimpande zangempela. … Funda kabanzi
Ukusebenzisa i-Inverse Matrices: I-Inverse matrices ingumqondo oyinhloko ku-algebra eqondile, esetshenziswa kabanzi kwizibalo ezisetshenzisiwe, isayensi, ubunjiniyela, ezomnotho, kanye nesayensi yedatha. I-Inverse matrices ingasetshenziswa ukuxazulula izinhlelo ze-linear equation, ukwenza izinguquko eziphambene, nokusiza ngezibalo ezahlukahlukene ezihilela ubudlelwano phakathi kwezinguquko. Lesi sihloko sixoxa ngencazelo ye-inverse matrix, izidingo zokuba khona kwayo, kanye… Funda kabanzi
Ithiyori Yezinombolo Eziyinhloko Izinombolo eziyinhloko zingenye yezinto ezilula kodwa eziyimfihlakalo kakhulu kwizibalo. Kulula ngoba incazelo yazo iqondile: inombolo eyinhloko iyinombolo enkulu kuno-1 enezahlukanisi ezimbili ezinhle kuphela: u-1 kanye nayo uqobo. Kuyimfihlakalo ngoba, naphezu kokufundwa iminyaka eyizinkulungwane, imibuzo eminingi eyisisekelo isasele ngazo… Funda kabanzi
Ukusetshenziswa Kwangempela Kwezinto Ezivela Kuwo Ama-Derivatives angomunye wemibono ebaluleke kakhulu ekubaleni, evame ukubhekwa njengezinto ezingacacile lapho ifundwa okokuqala. Kodwa-ke, ama-derivatives akhona ezimweni eziningi zangempela esibhekana nazo nsuku zonke—kusukela ekubaleni ijubane lemoto, ekunqumeni inzuzo ephezulu ebhizinisini, ekuboniseni ukusabalala kwesifo. Kalula nje, ama-derivatives asetshenziselwa ukukala izinga… Funda kabanzi