Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 31.3, Problem 3E
Program Plan Intro
To prove that a closed non-empty subset of a finite group is a subgroup.
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A feed of 60 mol% methanol in water at 1 atm is to be separated by dislation into a
liquid distilate containing 98 mol% methanol and a bottom containing 96 mol% water.
Enthalpy and equilibrium data for the mixture at 1 atm are given in Table Q2 below.
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(a)
Devise a procedure, using the enthalpy-concentration diagram, to determine the
minimum number of equilibrium trays for the condition of total reflux and the
required separation. Show individual equilibrium trays using the the lines.
Comment on why the value is Independent of the food condition.
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Mol%
MeOH,
Saturated vapour
Table Q2 Methanol-water vapour liquid equilibrium and enthalpy data for 1 atm
Enthalpy above C˚C
Equilibrium dala
Mol% MeOH in
Saturated liquid
TC kJ mol T. "Chk kot)
Liquid
T, "C
0.0 100.0
48.195
100.0
7.536
0.0
0.0
100.0
5.0 90.9
47,730
928
7,141
2.0
13.4
96.4
Perks
10.0 97.7
47,311
87.7
8,862
4.0
23.0
93.5
16.0 96.2 46,892
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You are working with a database table that contains customer data. The table includes columns about customer location such as city, state, and country. You want to retrieve the first 3 letters of each country name. You decide to use the SUBSTR function to retrieve the first 3 letters of each country name, and use the AS command to store the result in a new column called new_country.
You write the SQL query below. Add a statement to your SQL query that will retrieve the first 3 letters of each country name and store the result in a new column as new_country.
We are considering the RSA encryption scheme. The involved numbers are small, so the communication is insecure. Alice's public key (n,public_key) is (247,7).
A code breaker manages to factories 247 = 13 x 19
Determine Alice's secret key.
To solve the problem, you need not use the extended Euclid algorithm, but you may assume that her private key is one of the following numbers 31,35,55,59,77,89.
Chapter 31 Solutions
Introduction to Algorithms
Ch. 31.1 - Prob. 1ECh. 31.1 - Prob. 2ECh. 31.1 - Prob. 3ECh. 31.1 - Prob. 4ECh. 31.1 - Prob. 5ECh. 31.1 - Prob. 6ECh. 31.1 - Prob. 7ECh. 31.1 - Prob. 8ECh. 31.1 - Prob. 9ECh. 31.1 - Prob. 10E
Ch. 31.1 - Prob. 11ECh. 31.1 - Prob. 12ECh. 31.1 - Prob. 13ECh. 31.2 - Prob. 1ECh. 31.2 - Prob. 2ECh. 31.2 - Prob. 3ECh. 31.2 - Prob. 4ECh. 31.2 - Prob. 5ECh. 31.2 - Prob. 6ECh. 31.2 - Prob. 7ECh. 31.2 - Prob. 8ECh. 31.2 - Prob. 9ECh. 31.3 - Prob. 1ECh. 31.3 - Prob. 2ECh. 31.3 - Prob. 3ECh. 31.3 - Prob. 4ECh. 31.3 - Prob. 5ECh. 31.4 - Prob. 1ECh. 31.4 - Prob. 2ECh. 31.4 - Prob. 3ECh. 31.4 - Prob. 4ECh. 31.5 - Prob. 1ECh. 31.5 - Prob. 2ECh. 31.5 - Prob. 3ECh. 31.5 - Prob. 4ECh. 31.6 - Prob. 1ECh. 31.6 - Prob. 2ECh. 31.6 - Prob. 3ECh. 31.7 - Prob. 1ECh. 31.7 - Prob. 2ECh. 31.7 - Prob. 3ECh. 31.8 - Prob. 1ECh. 31.8 - Prob. 2ECh. 31.8 - Prob. 3ECh. 31.9 - Prob. 1ECh. 31.9 - Prob. 2ECh. 31.9 - Prob. 3ECh. 31.9 - Prob. 4ECh. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4P
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