Python Programming: An Introduction to Computer Science, 3rd Ed.
3rd Edition
ISBN: 9781590282755
Author: John Zelle
Publisher: Franklin, Beedle & Associates
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Chapter 1, Problem 4D
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Storing values in the computer:
- The computer will not store the exact values of certain numbers. Rather they store an approximate value.
- For example, the value 0.1 might be stored as 0.10000000000000000555 and in certain situations the approximate values do not create any problems.
- The chaotic behaviour exhibits unpredictability and extreme sensitivity of the initial values.
- If the computer takes approximate values without giving importance to exact value, it might pose problem.
Areas where the chaotic behaviour poses problem:
When trying to multiply a number with larger number...
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What is Benford’s Law?
Benford’s Law involves looking at the first digit of a series of numbers. For example, suppose that you were to use a random number generator to generate integers in the range of 100 to 999 and you looked at how often the number begins with 1, how often it begins with 2, and so on. Any decent random number generator would spread the answers out evenly among the 9 regions, so we’d expect to see each digit about one-ninth of the time (11.1%). But with a lot of real-world data, we see a very different distribution.
The expected distribution under Benford’s Law is shown below:1: 30.1%, 2: 17.6%, 3: 12.5%, 4: 9.7%, 5: 7.9%, 6: 6.7%, 7: 5.8%, 8: 5.1%, 9: 4.6%
You should use this distribution in your program. You are being provided with a text file giving population data for 247 countries and territories. Your program should read in the data in this file and extract the information needed to keep count of how often each first digit is found. It may be useful to know…
Bob and Alice want to send each other secret messages that no one else will have access to. They have decided that they will use a locked box to hold the secret messages, and they will drop the box off in each other’s mailboxes. The problem is that if they use a combination lock, they will have to send the combination to the box and someone might intercept it. Here are the materials they have access to:
A box that can be locked with a combination lock
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Paper
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Suppose you are going to simulate GPS positioning using 4 satellites. You are going to pretend to be a GPS receiver somewhere on the map and will figure out where you are based on the 4 “signals” you receive. But for you (and for a GPS receiver) all those signals tell you is where the satellite was when it sent the signal, and how long it took for the signal to get from the satellite to you. You need to determine where you could be (Mention distance in terms of grunters chain), based on that amount of time elapsed. The speed of light (R) is 299,792,458 m / s. You need to account for the scale factor of the map. This map has a scale factor of 1:21,283,839. This means that 1 meter on the map equals 21,283,839 meters on the earth’s surface. A = .00415783 seconds B = .00400006 seconds C = .00837010 seconds D = .00712225 seconds
Chapter 1 Solutions
Python Programming: An Introduction to Computer Science, 3rd Ed.
Ch. 1 - Prob. 1TFCh. 1 - Prob. 2TFCh. 1 - Prob. 3TFCh. 1 - Prob. 4TFCh. 1 - Prob. 5TFCh. 1 - Prob. 6TFCh. 1 - Prob. 7TFCh. 1 - Prob. 8TFCh. 1 - Prob. 9TFCh. 1 - Prob. 10TF
Ch. 1 - Prob. 1MCCh. 1 - Prob. 2MCCh. 1 - Prob. 3MCCh. 1 - Prob. 4MCCh. 1 - Prob. 5MCCh. 1 - Prob. 6MCCh. 1 - Prob. 7MCCh. 1 - Prob. 8MCCh. 1 - Prob. 9MCCh. 1 - Prob. 10MCCh. 1 - Prob. 1DCh. 1 - Prob. 2DCh. 1 - Prob. 3DCh. 1 - Prob. 4DCh. 1 - Prob. 5DCh. 1 - Prob. 1PECh. 1 - Prob. 2PECh. 1 - Prob. 3PECh. 1 - Prob. 4PECh. 1 - Prob. 5PECh. 1 - Prob. 7PE
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