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Author Question: You probably know by now that a differential k-form k 1 on a domain D Rn is very similar to a ... (Read 45 times)

eruditmonkey@yahoo.com

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on: May 27, 2021
You probably know by now that a differential k-form  k ≥ 1 on a domain D ⊂ Rn is very similar to a vector field on D, and hence a correspondence between the two may be established.
For instance, we may set a correspondence between the 1-form  F1 dx + F2 dy + F3 dz  and the vector field F = F1 i + F2 j + F3 k. Using this setup, find the vector differential identity corresponding to the fact for any differential 0-form g on a domain D in R3.
◦ ∇2(g) = 0
◦ ∇ ∙ (∇g) = 0
◦ ∇g = 0
◦ ∇ × (∇g) = 0
◦ (∇g)∙ ∇) = 0
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Marked as best answer by eruditmonkey@yahoo.com on May 27, 2021

brittrenee

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Reply #1 on: May 27, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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eruditmonkey@yahoo.com

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Reply 2 on: May 27, 2021
:D TYSM

ttt030911

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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