Astronomy: star mapping, math, Marketing Management

Two nights ago, an astronomer took a picture of a small portion of the sky containing 10,000
stars. Last night, the astronomer took a picture of the same portion of sky (containing the same
10,000 stars). The stars have all moved, and by measuring the distance they have moved the
astronomer can estimate their speed.
Unfortunately, it’s not quite that easy. Because the astronomer does not know the speed (or
direction of motion) of the stars beforehand, all she sees are two pictures with 10,000 dots on
them. There is no way for her to be sure which dot in the second picture is the same star as a
certain dot in the first picture!
Although the astronomer can’t be sure which dot is which, she can make some educated
guesses. Based on the size and brightness of each dot, she can estimate the probability pij that
star i in the first picture is the same as star j in the second picture. (Assume that all
probabilities are independent.) Using these probabilities, she would like to make her best guess
as to which star is which.
a. Draw this scenario as a network problem.
b. Specify the costs on each arc. (Hint: Remember from your probability classes that the
joint probability is the product of each probability, not the sum. One way to minimize the
product of some numbers is to minimize the sum of their logs.)
c. If it is a special type of network problem, specify what type it is.
Posted Date: 3/5/2012 5:43:00 PM | Location : United States







Related Discussions:- Astronomy: star mapping, math, Assignment Help, Ask Question on Astronomy: star mapping, math, Get Answer, Expert's Help, Astronomy: star mapping, math Discussions

Write discussion on Astronomy: star mapping, math
Your posts are moderated
Related Questions
write a note on Importance & scope of marketing?

$4.99kg of apples how much would one apple weighing 180g cost?

Considering the concept of product life cycle, where would you put video games in their life cycleuestion #Minimum 100 words accepted#

why we need to study promotion in marketing?


1. As the first to set up an international air express business in 1969, DHL had the first- mover advantage over other companies. Is being a first mover as advantageous for a servi

#question A company decide to go international what are the factors that it should take into consideration before going global?

State the characteristics of communications Within market exchanges, communications are characterised by planning and formality. Relational exchanges are supported by more fre

Augmented Product An augmented product is one with entity in addition to those required to serve its core function that defined it from other products available in its class.

Q. Show the Nature of Customers? Nature of Customers: An appropriate media plan should consider the type or class of consumers for whom advertising is to be done. Different c