Dab tsi yog divergence gradient?
Dab tsi yog divergence gradient?

Video: Dab tsi yog divergence gradient?

Video: Dab tsi yog divergence gradient?
Video: DIFFERENT TYPES OF BOUNDARY CONDITIONS 2024, Kaum ib hlis
Anonim

Cov gradient yog qhov taw qhia tus nqi ntawm kev hloov pauv ntawm kev ua haujlwm scalar hauv Rn whereas the kev sib txawv ntsuas tus nqi ntawm cov zis vs cov tswv yim rau ib chav tsev ntim ntawm vector valued "flow" hauv Rn. Cov gradient ∇f(→x)=?∂∂x1f, ∂∂x2f, …, ∂∂xnf?

Ib yam li ntawd, tib neeg nug, curl divergence thiab gradient yog dab tsi?

Gradient , Divergence , thiab Curl . Cov gradient , kev sib txawv , thiab curl yog qhov tshwm sim ntawm kev siv tus neeg teb xov tooj Del rau ntau yam haujlwm: Lub Gradient yog qhov koj tau txais thaum koj "ntau ntxiv" Delby muaj nuj nqi scalar. Grad(f) = = Note that the result of the gradient yog vector teb.

Tsis tas li ntawd, qhov gradient hauv lej yog dab tsi? Gradient yog lwm lo lus "txoj kab nqes". Qhov siab dua gradient ntawm ib daim duab ntawm ib qho taw tes, tus steeper kab yog nyob rau ntawm qhov point. Ib qho tsis zoo gradient txhais tau hais tias cov linelopes downwards. Cov yees duab hauv qab no yog ib tug tutorial ntawm Gradints . Nrhiav qhov gradient ntawm ib tug ncaj-linegraph.

Raws li, qhov sib txawv ntawm curl yog dab tsi?

Finite kev sib txawv tsuas yog txhais tau hais tias muaj zoo li lub hosepipe qhov chaw uas nqus los yog nqus tawm cov kua dej radially. Qhov no yog qhov koj tuaj yeem xav txog qhov kev sib txawv thiab cov curl tus kheej. Rau koj cov lus nug, xav txog qhov sib xyaw nrog tsis yog xoom kev sib txawv thiab tsis yog xoom curl.

Dab tsi yog qhov txawv ntawm divergence thiab gradient?

Ib lo lus teb glib yog tias " gradient "yog vector thiab" kev sib txawv "yog scalar. The kev sib txawv (ntawm vectorfield) muab ib qho kev ntsuas ntawm ntau npaum li cas "flux" (los yog ntws) yog dhau los ntawm ib puag ncig ib puag ncig hauv teb (zoo rau ntws tawm ntawm qhov taw tes, tsis zoo rau ntws mus rau, xoom forno net flow).

Pom zoo: