Astronomy: star mapping, math, Marketing Management

Assignment Help:
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.

Related Discussions:- Astronomy: star mapping, math

Area of a square and area of a rectangle, a side of a square is represented...

a side of a square is represented by x-3.what expression represents the area of the square?

SALES AND DISTRIBUTION MANAGEMENT, Out of the following which gap arise whe...

Out of the following which gap arise when the sales force does not have the required knowledge, skills or capabilities to become successful on the Job. a. Knowledge gap b. Capabili

Buying motives, Buying motives: motive is thus urge that moves or promote ...

Buying motives: motive is thus urge that moves or promote a person to some action. Motive is an effectual desire one to a definite action. Customers purchase any goods as a result

Pigeonhole principle, A binary relation R from A to B is said to be a funct...

A binary relation R from A to B is said to be a function if for every element a in A, there is a unique element b in B so that (a, b) is in R. For a function R from A to B, instead

Role of the environment scanning in the organizations, Role of the environm...

Role of the environment scanning in the organizations: property used environmental scanning can help to ensure organizational success. The specific organizational roles or functio

Objectives of the personal selling, Objectives of the personal selling: pe...

Objectives of the personal selling: personal selling has two types of objectives - long termand short term. The long term objectives, which are more or less permanent, are braoder

How marketing techniques might help changeland''s government, The country o...

The country of Changeland has, for many years, operated as a military dictatorship. Last year, though, a people's revolution brought a democratic election for the first time in liv

Management of the promotional tools, Management of the Promotional Tools ...

Management of the Promotional Tools Traditionally, each of the promotional tools has been regarded as domain of particular groups within organisations: 1. Personal selling

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd