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Author Question: Let (x) = a1(x) dx1 + a2(x) dx2 + a3(x) dx3 be a differential 1-form on a domain D in R3 and let . ... (Read 109 times)

naturalchemist

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on: May 27, 2021

Question 1

Let  Λk(Rn), 1 ≤  k ≤  n be the vector space of all k -forms on Rn  and let  mk be the dimension of .  Find .
◦ n2
◦
◦ 2n
◦ 2n - 1
◦ 2(n - 1)

Question 2

Let  Φ(x) = a1(x) dx1 + a2(x) dx2 + a3(x) dx3  be a differential 1-form on a domain D in R3 and let . The value of  Φ(x) on a vector v ∈ R3 is equal to
◦ a(x) × v
◦ v × a(x)
◦ a(x) + v
◦ a(x) ∙ v
◦ Φ(x)∧v
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Marked as best answer by naturalchemist on May 27, 2021

asdfghjkl;

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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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naturalchemist

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Reply 2 on: May 27, 2021
Wow, this really help

Animal_Goddess

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Reply 3 on: Yesterday
Gracias!

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