БҮТҮН РАЦИОНАЛДЫК ФУНКЦИЯ: нускалардын айырмасы
No edit summary |
No edit summary |
||
| 1 сап: | 1 сап: | ||
'''БҮТҮН РАЦИОНАЛДЫК ФУ́НКЦИЯ ''' – көп мүчө. Мисалы, | '''БҮТҮН РАЦИОНАЛДЫК ФУ́НКЦИЯ ''' – көп мүчө. Мисалы, <math>{y}</math><math>=</math><math>{a}</math><sub>0</sub><math>{x}</math><sup><math>{n}</math></sup><math>+</math>''<math>{a}</math>''<sub>1</sub>''<math>{x}</math><sup><math>{n}</math>''<sup>–1</sup><math>+</math>…<math>+</math>''<math>{a}</math>''<sub><math>{n}</math>–1</sub>''<math>{x}</math><math>+</math><math>{a}</math><sub><math>{n}</math></sub>'' түрүндөгү функция, мында ''<math>{a}</math>''<sub>0</sub>, ''<math>{a}</math>''<sub>1</sub>, …, ''<math>{a}</math><sub><math>{n}</math></sub>'' – чыныгы же комплекстик сандар, ''<math>{x}</math>'' – өзгөрмө чоӊдук. Бүтүн рационалдык функциянын маанисин ''х'' тин каалаган маанисинде жөнөкөй арифметикалык амалдар (кошуу, кемитүү, көбөйтүү) аркылуу табууга болот. ''<math>{a}</math>''<sub>0</sub>, ''<math>{a}</math>''<sub>1</sub>, …, ''<math>{a}</math><sub><math>{n}</math>''<sub>–1</sub>, ''<math>{x}</math>=''<math>{z}</math> комплекстүү болгон учурда, бүтүн рационалдык функция ''анализдик функция'' болот, башкача айтканда бүтүн функция болуп калат. Эки бүтүн рационалдык функциянын айырмасы, суммасы жана көбөйтүндүсү кайра эле бүтүн рационалдык функция болот. Алар айрым татаал функциянын маанисин жакындатып табууда кеӊири колдонулат. | ||
[[Category: 2-том]] | [[Category: 2-том]] | ||
05:34, 10 Декабрь (Бештин айы) 2024 -га соңку нускасы
БҮТҮН РАЦИОНАЛДЫК ФУ́НКЦИЯ – көп мүчө. Мисалы, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {y}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle =} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} 0Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {x}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle +} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} 1Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {x}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n}} –1Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle +} …Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle +} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n}} –1Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {x}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle +} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n}} түрүндөгү функция, мында Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} 0, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} 1, …, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n}} – чыныгы же комплекстик сандар, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {x}} – өзгөрмө чоӊдук. Бүтүн рационалдык функциянын маанисин х тин каалаган маанисинде жөнөкөй арифметикалык амалдар (кошуу, кемитүү, көбөйтүү) аркылуу табууга болот. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} 0, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} 1, …, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n}} –1, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {x}} =Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {z}} комплекстүү болгон учурда, бүтүн рационалдык функция анализдик функция болот, башкача айтканда бүтүн функция болуп калат. Эки бүтүн рационалдык функциянын айырмасы, суммасы жана көбөйтүндүсү кайра эле бүтүн рационалдык функция болот. Алар айрым татаал функциянын маанисин жакындатып табууда кеӊири колдонулат.