Video: Dab tsi yog lub rooj ua haujlwm nonlinear?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
A nonlinear muaj nuj nqi yog a muaj nuj nqi uas tsis yog linear, thiab linear muaj nuj nqi graph yog kab. Nws zoo nkauj heev uas cov duab ntawm lub muaj nuj nqi y = -x 2 + 4x is not a line, so the muaj nuj nqi yog a nonlinear muaj nuj nqi.
Nyob rau hauv txoj kev no, dab tsi yog ib txoj haujlwm nonlinear?
Tawm cov dej num muaj txoj kab nqes tsis tu ncua, yog li cov haujlwm uas tsis yog-linear muaj txoj kab nqes uas txawv ntawm cov ntsiab lus. Algebraically, kab tawm functions yog polynomials nrog siab tshaj exponent sib npaug rau 1 los yog ntawm daim ntawv y = c qhov twg c yog tas li. Nonlinear functions yog tag nrho lwm cov haujlwm. Ib qho piv txwv ntawm kev ua haujlwm tsis yog kab yog y = x^2.
Tsis tas li ntawd, dab tsi yog qhov sib npaug nonlinear? Ib qhov system nonlinear equations yog ib tug system ntawm ob los yog ntau tshaj kev sib npaug hauv ob lossis ntau qhov sib txawv uas muaj tsawg kawg yog ib qho kev sib npaug uas tsis yog linear. Nco qab tias yog linear kev sib npaug tuaj yeem nqa daim ntawv Ax + By + C = 0 A x + B y + C = 0. Ib qho kev sib npaug uas tsis tuaj yeem sau rau hauv daim ntawv no hauv nonlinear.
Ib sab ntawm qhov no, koj yuav ua li cas paub yog tias muaj nuj nqi yog nonlinear?
Yog hais tias muaj nuj nqi yog nonlinear , ces tus exponent ntawm tus x sib txawv yuav muaj ib tug exponent ntawm lwm yam tshaj li 0 los yog 1. Lwm linear muaj nuj nqi yog nyob rau hauv daim ntawv ntawm y = a lossis f (x) = a, qhov twg yog tus lej tiag. Tus exponent ntawm x hauv qhov no muaj nuj nqi yog 0 vim x^0 = 1, ie y = ax^0 or y = 1x.
Yuav ua li cas koj thiaj paub tias lub rooj yog linear lossis nonlinear?
Koj ua tau qhia tias lub rooj yog linear los ntawm saib seb X thiab Y hloov pauv li cas. Yog , raws li X nce los ntawm 1, Y nce los ntawm tus nqi tas li, ces a rooj yog linear . Koj tuaj yeem nrhiav tus nqi tas li los ntawm kev nrhiav thawj qhov sib txawv. Qhov no rooj yog linear.
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