Introduction To Algorithms, Third Edition (international Edition)
3rd Edition
ISBN: 9780262533058
Author: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein
Publisher: TRILITERAL
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Chapter 4.3, Problem 7E
Program Plan Intro
To show that a substitution proof with assumption
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TECNOLOGIE DEL WEB 2023/2023 (VER 1.1)
Prof. Alfonso Pierantonio
1. Project Requirements
The project consists in designing and implementing a Web application according to the
methodology and the technologies illustrated and developed during the course. This document
describe cross-cutting requirements the application must satisfy.
The application must be realized with a combination of the following technologies:
PHP
MySQL
HTML/CSS
JavaScript, jQuery, etc
templating
The requirements are
2. Project size
The application must have at least
18 SQL tables
The number of SQL tables refers to the overall number of tables (including relation normalizations).
3. Methodology
The application must be realized by adopting
separation of logics,
session management, and
generic user management (authentication/permissions).
Missing one of the above might correspond to a non sufficient score for the project. More in details:
3.1 Separation of Logics
The separation of logics has to be realizse by using…
Write a C program to calculate the function sin(x) or cos(x) using a Taylor series expansion around the point 0. In other words, you will program the sine or cosine function yourself, without using any existing solution. You can enter the angles in degrees or radians. The program must work for any input, e.g. -4500° or +8649°. The function will have two arguments:
float sinus(float radians, float epsilon);
For your own implementation, use one of the following relations (you only need to program either sine or cosine, you don't need both):
Tip 1: Of course, you cannot calculate the sum of an infinite series indefinitely. You can see (if not, look in the program) that the terms keep getting smaller, so there will definitely be a situation where adding another term will not change the result in any way (see problem 1.3 – machine epsilon). However, you can end the calculation even earlier – when the result changes by less than epsilon (a pre-specified, sufficiently small number, e.g.…
Write a C program that counts the number of ones (set bits) in the binary representation of a given number.
Example:Input: 13 (binary 1101)Output: 3 units
Chapter 4 Solutions
Introduction To Algorithms, Third Edition (international Edition)
Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5E
Ch. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.6 - Prob. 1ECh. 4.6 - Prob. 2ECh. 4.6 - Prob. 3ECh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6P
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- Write a program to calculate the function sin(x) or cos(x) using a Taylor series expansion around the point 0. In other words, you will program the sine or cosine function yourself, without using any existing solution. You can enter the angles in degrees or radians. The program must work for any input, e.g. -4500° or +8649°. The function will have two arguments: float sinus(float radians, float epsilon); For your own implementation, use one of the following relations (you only need to program either sine or cosine, you don't need both): Tip 1: Of course, you cannot calculate the sum of an infinite series indefinitely. You can see (if not, look in the program) that the terms keep getting smaller, so there will definitely be a situation where adding another term will not change the result in any way (see problem 1.3 – machine epsilon). However, you can end the calculation even earlier – when the result changes by less than epsilon (a pre-specified, sufficiently small number, e.g.…arrow_forwardWrite a C program that finds and prints the machine epsilon for the float and double data types. Also print the values of __FLT_EPSILON__ and __DBL_EPSILON__ defined in float.h. Reminder – the phrase data type tells how the compiler “understands” the ones and zeros you are working with. This identifies whether you are working with integers, letters, real numbers, and so on. Another definition:Machine epsilon is the "distance" between the number 1 and its immediate right neighbor. We work in binary (decimal is in parentheses): 1 + 0,1 = 1,1 (1 + 1/2 = 1,5) 1 + 0,01 = 1,01 (1 + 1/4 = 1,25) 1 + 0,001 = 1,001 (1 + 1/8 = 1,125) then, due to the limited accuracy of the computer at a certain number of decimal places, a situation arises where 1 + 0.0…001 = 1 (instead of the correct 1.0…001). Then the previous number 0.0…01 is called the machine epsilon . It is obvious that its value may be different on different computers. However, the machine…arrow_forwardWrite a program that performs a rotational bit shift to the right for a positive integer. The user enters a number, the number of bits to shift (and, if you want, the direction of the shift, but right is enough). Example:The number 9 (in binary form 1001) when rotated to the right by 1 bit becomes 1100. Tip : A bit rotation (also known as a cyclic shift) is an operation in which the bits in a binary number are shifted a certain number of places to the right or left, with bits that “fall out” at one end being returned to the opposite end. So, start with a bit shift operation. Write a few examples on paper before programming.Tip : Use the unsigned int data type.You can get the number of bits of this data type as follows: int bit_count = sizeof (unsigned int ) * 8arrow_forward
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