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If a Mobius transformation T carries z1 and z2 in to same number w1, then either z1=z2 or else T is a constant map. Is this statement true or false? why?
Verify bounded convergence theorem for sequence of function
fn(x)=1/(1+x/n)^n,0<=x<=1
Show that integral dz/(z^2-1)^2+3=π/2√2, where path of integration is unit circle in the positive sense
Find the image of the half plane y>1 under the transformation w=(1-i)z
Is there any analytic function fexist in a neighborhood of 0 whose square is z?
If the Fourier series of a function f is Cesaro summable, then show that it is Abel summable?
If a Möbius transformation T carries z1 and z2 into a same number w1,then either z1=z2 or else T is a constant map
The projection map defined on (R^2,d) where d is the usual metric is continuous.Is it true?
A baseball player hit 5757 home runs in a season. Of the 5757 home​ runs, 1515 went to right​ field, 2121 went to right center​ field, 88 went to center​ field, 1111 went to left center​ field, and 22 went to left field.​ (a) What is the probability that a randomly selected home run was hit to leftleft ​field? (b) Was it unusual for this player to hit a home run to leftleft ​field?
Suppose you just received a shipment of
seven
seven televisions.
Two
Two of the televisions are defective. If two televisions are randomly​ selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not​ work?
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