Solve the following using Matlab. 6.1For the function y = x³-2x²+x, calculate the value of y for the followivalues of x using element-by-element operations: -2, −1, 0, 1, 2, 3, 4 .6.2For the function y ='x +4calculate the value of y for the following valuesof x using element-by-element operations: -3, -2, −1, 0, 1, 2, 3 .2012/36.3 For the function(t + 1)22y =t +1e(0.31+5)+t +1"calculate the value of y for thefollowing0, 1, 2, 3, 4, 5, 6, 7, 8.valuesoftusing element-by-elementoperations:

Approach to Solving the Question:The fundamental approach in all these problems involves leveraging…

Answered: 6.1 For the function y = x³-2x²+x,…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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6. [3 pts] Write the complement of the following function in product-of-maxterms form: F(A, B, C, D) = (A'BC + CD) (D+A)
Computer science
The GMP library, using C or C++ The prefered solution is to use the Sage library. 2 Fermat test 1. Implement the Fermat test of primality with small integers. 2. Write a function to generate random k-bit prime numbers. 3 RSA 1. Write the key-generation function function of RSA. The function should generate two random primes p and q of size k/2 bits. 2. Implement the RSA encryption function 3. Implement the RSA decryption function 4. Check that decryption works
[2] For given number x and integer n, write the R code to compute (-1)" (2n + 1)!* . For a nonnegative integer m, the R function to compute m! is factorial (m). x2n+1
d. Write a function Encode as follows:• // Return M^e mod PQ• int Encode (int M, int e, int PQ); e. Write a function Decode as follows:• //Return C^d mod PQ• int Decode (int C, int d, int PQ); f. Verify that RSA algorithm works, i.e.,• int M;• /* M is an integer that is smaller than PQ */• cout <<"Enter an integer that is smaller than"<< PQ;• cin <<M;•• C=Encode (M, e, PQ);• M1=Decode (C, d, PQ);• assert (M==M1); //Note: include assert.h header file to use this//macro/function. c++
(3) There is a function void fnE(int i, int num) that runs in 1000-i steps, regardless of what num is. Consider the following code snippet: void fnA(int S[]) { S.length; for (int i=0;i
(1) Write a function that given an integer n, it finds all binary sequences of length 2n such that the sum of the first n bits is same as the sum of last n bits. Example: For n = 2, the sequences are: I,1] [,2] [,3] [,4] L,51 [,6] [1,] 0 1 1 0 0 1 0 0 [2,1 0 1 1 1 [3,1 0 1 0. 1. [4,1 0 1 1 For n = 3, the sequences are: [1 oI IO o o o o o I I I III 0 o 0 1 a1 o o 0 I 1. 0 0 0 0 O I 1. 110 即 0 O 0 I O O 61 0 0 1 1. L1 0 0 0 IO O O 0 I 0 II0I (2) Write a function that given an integer n computes all non-increasing partitions of n. Example: For n=3, 111 21 3 For n=4, 1111 22 211 31 4
Plot the orbit in 3D using a suitably dimensioned sphere for the Earth. [6]: # YOUR CODE HERE raise NotImplementedError() Not Implemented Error Cell In [6], line 2 1 # YOUR CODE HERE ----> 2 raise NotImplementedError() Not ImplementedError: Problem 1.6 Plot the Specific Energies (i.e., all three Kinetic, Potential and Total Energy) in the same plot as a function of time. The x-axis must show time (in hours) and y axis must show the Energy (in km² /s²). [7] # YOUR CODE HERE Traceback (most recent call last) raise NotImplementedError()
10. Simplify the following function using Karnaugh maps:
PART 1: Find the Nth Fibonacci Number (Objective - 4)You will implement a function for finding the nth Fibonacci number using the MIPS assembly language. Following gives the definition of the Fibonacci Sequence. Your code should comply with the coding conventions described in the lectures.Let F be the Fibonacci function:F(0) = 0F(1) = 1For n > 1 F(n) = F(n-1) + F(n-2)Example Output of Execution:Enter the sequence number: 6F(6) = 8 A - Loop ImplementationIn a file named FiboLoop.asm, implement the above function using a loop. B - Recursive ImplementationIn a file named FiboRec.asm, implement the above function using a loop. PART 2: Evaluating Execution Time (Objective - 1)A) Complete the following table. Provide how many instructions of the given categories are executed while finding the F(6) for both loop and recursive functions, seperately. You should provide two tables, one for non-recursive the other for recursive function. B) Then calculate the total clock cycles for each…
| The code in Part 1 counts the crossings and nestings for a given matching. We now want to use this to analyze the distribution of crossings and nestings for arc diagrams with 100 arcs. Using your function random_matching from Exercise [1.4], generate 104 such arc diagrams and create histograms for the numbers of crossings and nestings, respectively. Display them in a single plot. Also generate a two-dimensional histogram for the joint distribution of crossings and nestings. What do you observe?

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