Purchase Solution

# Harmonic Functions : Green's Identity and Mean Value Theorem for Harmonic Functions

Not what you're looking for?

Please see the attached file for the fully formatted problems.

Let h 2 C2(R3) be harmonic (h = 0). Using Green's identity for
....
is independent of the value of R. Then one can deduce the mean value theorem
....
Now what can you say if limx!1 h(x) = 0?

##### Solution Summary

Green's identity is used to find mean value theorem for an harmonic function. The solution is detailed and well presented.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts