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
1.Considering the concept of product life cycle, where would you put video games in their life cycle? 2. Should video game companies continue to alter their products to include oth

The Nosmell Nutrient Compnay has placed an order for the coming month for 500 tons of nitrate, 800 tons of phosphate, and 1,200 tons of potash. The company blends these ingredients

In May 2004 Government banned Tobacco advertisements on television. Tobacco-advertisements comprise ads related to Cigarettes, Zarda, Gutka. This ban comprise brand-extension-bans.

Question 1: Determine the role of market segmentation in effective marketing. Identify and briefly describe the criteria that you would use to help establish whether a variable

how was the need for this product identified?

Steps in the buying decision process: the purchaser or the consumer takes his buying decision, for some commodities immediately without much consideration such as items or the dai

What is the role of market intermediaries? Marketing Intermediaries: Marketing Intermediaries Firms which help the company to promote sell and distribute its goods to la

Characteristic of Marketing Planning: 1. marketing planning is a formal and syatematic approach towards planning of all marketing activites product positioning price setting di

what is the relationship of nuclear chemistry to marketing management

Product/Market Expansion Grid Companies should be looking to the future always. One useful device for recognizing growth opportunities for the future is the product/market exp