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Question: A function (z) is called bounded if we can find O< M ∈ R such that |f (z)| < M ∀ z ∈ C. Suppose f(z) is entire (i.e: analytic everywhere) and bounded.
Prove Liouville's theorem, namely that f (z) is constant in this case.
Hint: Draw a great big circle radius R, center w, and write down an integral formula for f'(w). Now try to estimate the modulus of this integral and study R →∞.
on a windy day a leaf is blown from 5m high central branch tree. as soon as it leaves the branch it is blown at 10ms-1
What percentage of those residents using the maid service are retired?
Last season a pair of jeans cost $35.95. This season the price of the jeans increased by 25 percent. Later in the season, the jeans were put on sale for 25 percent off. How much did the jeans cost at the beginning of the season? What was their sale p..
Select a current issue from the news, or of interest to you, regarding the relationship between two variables. This topic will be used as the basis of a Graphing Two Variables paper and presentation.
The portion of the company's fixed costs allotted to this product is $300, and the supplier's cost for a set of tile is $6 each.
A motorboat travels 455 km in 7 hours going upstream and 963 km in 9 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Suppose a friend is having trouble solving the following problem: 2.5(p - 4)
conservationist catches 300 deer, later 716 deer are caught 179 of them are tagged, how many are in preserve?
How many gallons of water are being pumped out each hour?
A random digit dialing telephone survey of 880 drivers asked, "Recalling the last ten traffic lights you drove through, how many of them were red when you entered the intersectinos?" Of the 880 respondents, 171 admitted that at least one light had..
Find the equation of the tangent line
Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student.
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