0
Since z = a^2/z on the circle, we see that w as given by (1) is purely
real on the circle C and therefore if* = 0. Thus C is a streamline.
If the point z is outside 0, the point az
/z is inside 0, and vice-versa. Since
all the singularities off(z) are by hypothesis exterior to C, all the singularities
off(a?/z) are interior to C ; in particular f(a
z
/z) has no singularity at infinity,
since f(z) has none at z = 0. Thus w has exactly the same singularities as/(z)
and so all the conditions are satisfied.
What else can I help you with?
Parts of formal proof of theorem?
Parts of formal proof of theorem?
What is circle theorem?
it's a circle
Who invented circle theorem?
shail has a big belly shah invented circle theorem
How does postulate becomes a theorem.?
When a postulate has been proven it becomes a theorem.
Which of these is the definition of a corollary?
a theorem that follows directly from another theorem or postulate, with little of no proof
Parts of formal proof of theorem?
Parts of formal proof of theorem?
What is a theorem about two lines tangent to a circle at the endpoints of a diameter?
Two lines tangent to a circle at the endpoints of its diameter are parallel. See related link for proof.
What is circle theorem?
it's a circle
Who invented circle theorem?
shail has a big belly shah invented circle theorem
What is the Tangent Line to Circle Theorem?
The Tangent Line to Circle Theorem states that a line is tangent to a circle if and only if it's perpendicular to the circle's radius.
Proof of bpt theorem?
Theory_of_BPT_theorem
Can a corollary be solved with a theorem?
No. A corollary goes a little bit further than a theorem and, while most of the proof is based on the theorem, the extra bit needs additional proof.
How does postulate becomes a theorem.?
When a postulate has been proven it becomes a theorem.
Which of these is the definition of a corollary?
a theorem that follows directly from another theorem or postulate, with little of no proof
What is proven with a geometric proof?
Theorems is what is proven with the geometric proof.
What is the subject of a direct geometric proof?
theorem
What is a thereom?
theorem always needs proof
