Green's Second Identity
If φ and ψ are both twice continuously differentiable on U in R3, and ε is once continuously differentiable, we can choose and obtain:
For the special case of all across U in R3 then:
In the equation above ∂φ / ∂n is the directional derivative of φ in the direction of the outward pointing normal n to the surface element dS:
Read more about this topic: Green's Identities
Famous quotes containing the words green and/or identity:
“Ill tell you one thing. If a little green man pops out at me Im shooting first and asking questions later.”
—Edward D. Wood, Jr. (19221978)
“For the mother who has opted to stay home, the question remains: Having perfected her role as a caretaker, can she abdicate control to less practiced individuals? Having put all her identity eggs in one basket, can she hand over the basket freely? Having put aside her own ambitions, can she resist imposing them on her children? And having set one example, can she teach another?”
—Melinda M. Marshall (20th century)