This topic contains a solution. Click here to go to the answer

Author Question: Let be a differential k-form, be a differential l-form, and be an m-form on a domain D Rn. Find ... (Read 158 times)

pane00

  • Hero Member
  • *****
  • Posts: 579
Let Φ be a differential k-form, Ψ be a differential l-form, and Ω be an m-form on a domain  D ⊂ Rn.   Find an expression for a product rule for the exterior derivative of the wedge product  Φ∧Ψ∧Ω.
◦ d(Φ∧Ψ∧Ω) = (dΦ)∧Ψ∧Ω + (-1) k Φ∧d(Ψ)∧Ω + (-1) (k + l) Φ∧Ψ∧d(Ω)
◦ d(Φ∧Ψ∧Ω) = (dΦ)∧Ψ∧Ω + Φ∧d(Ψ)∧Ω + Φ∧Ψ∧d(Ω)
◦ d(Φ∧Ψ∧Ω) = (-1) k(dΦ)∧Ψ∧Ω + (-1) l Φ∧d(Ψ)∧Ω + (-1) (l +m) Φ∧Ψ∧d(Ω)
◦ d(Φ∧Ψ∧Ω) = (dΦ)∧(dΨ)∧(dΩ)
◦ d(Φ∧Ψ∧Ω) = (dΦ)∧Ψ∧Ω + (-1) kl Φ∧d(Ψ)∧Ω + (-1) (k + l +m) Φ∧Ψ∧d(Ω)


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by pane00 on May 27, 2021

meganlapinski

  • Sr. Member
  • ****
  • Posts: 333
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.
Answer Preview
Only 44% of students answer this correctly




pane00

  • Member
  • Posts: 579
Reply 2 on: May 27, 2021
YES! Correct, THANKS for helping me on my review


AISCAMPING

  • Member
  • Posts: 347
Reply 3 on: Yesterday
Gracias!

 

Did you know?

As of mid-2016, 18.2 million people were receiving advanced retroviral therapy (ART) worldwide. This represents between 43–50% of the 34–39.8 million people living with HIV.

Did you know?

Walt Disney helped combat malaria by making an animated film in 1943 called The Winged Scourge. This short film starred the seven dwarfs and taught children that mosquitos transmit malaria, which is a very bad disease. It advocated the killing of mosquitos to stop the disease.

Did you know?

Human stomach acid is strong enough to dissolve small pieces of metal such as razor blades or staples.

Did you know?

One way to reduce acid reflux is to lose two or three pounds. Most people lose weight in the belly area first when they increase exercise, meaning that heartburn can be reduced quickly by this method.

Did you know?

Approximately 500,000 babies are born each year in the United States to teenage mothers.

For a complete list of videos, visit our video library