Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 4R
Program Plan Intro
Log-log scale:
This plot is a two-dimensional graph which contains the numerical data on horizontal and vertical axes. The equation
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Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.
Higher-order functions are the functions that run with higher than O(n) time complexity.Answer: true, false
For the given tabulating problem, solve for the needed:
Note: This problem was quoted from:
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formerly of Department of
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Exercise 14.1 Tabulate the functions
y = (x² + 3) sin πx²
and
z =sin? wæ/(x^2+3)
for x = 0,0.2,..., 10. Hence, tabulate the func-
tion
(x² + 3) sin 7x² sin² π.χ
(x−²+3)
Plot a graph of w over the range 0 ≤ x ≤ 10.
W=
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- Write a computer algorithm (with matlab) for tabulating the resulting numbers.
- Verify the code results with hand calculations and show it as real table.
Chapter 4 Solutions
Data Structures and Algorithms in Java
Ch. 4 - Prob. 1RCh. 4 - The number of operations executed by algorithms A...Ch. 4 - The number of operations executed by algorithms A...Ch. 4 - Prob. 4RCh. 4 - Prob. 5RCh. 4 - Prob. 6RCh. 4 - Prob. 7RCh. 4 - Prob. 8RCh. 4 - Prob. 9RCh. 4 - Prob. 10R
Ch. 4 - Prob. 11RCh. 4 - Prob. 12RCh. 4 - Prob. 13RCh. 4 - Prob. 14RCh. 4 - Prob. 15RCh. 4 - Prob. 16RCh. 4 - Prob. 17RCh. 4 - Prob. 18RCh. 4 - Prob. 19RCh. 4 - Prob. 20RCh. 4 - Prob. 21RCh. 4 - Prob. 22RCh. 4 - Show that 2n+1 is O(2n).Ch. 4 - Prob. 24RCh. 4 - Prob. 25RCh. 4 - Prob. 26RCh. 4 - Prob. 27RCh. 4 - Prob. 28RCh. 4 - Prob. 29RCh. 4 - Prob. 30RCh. 4 - Prob. 31RCh. 4 - Prob. 32RCh. 4 - Prob. 33RCh. 4 - Prob. 34RCh. 4 - Prob. 35CCh. 4 - Prob. 36CCh. 4 - Prob. 37CCh. 4 - Prob. 38CCh. 4 - Prob. 39CCh. 4 - Prob. 40CCh. 4 - Prob. 41CCh. 4 - Prob. 42CCh. 4 - Prob. 43CCh. 4 - Draw a visual justification of Proposition 4.3...Ch. 4 - Prob. 45CCh. 4 - Prob. 46CCh. 4 - Communication security is extremely important in...Ch. 4 - Al says he can prove that all sheep in a flock are...Ch. 4 - Consider the following justification that the...Ch. 4 - Consider the Fibonacci function, F(n) (see...Ch. 4 - Prob. 51CCh. 4 - Prob. 52CCh. 4 - Prob. 53CCh. 4 - Prob. 54CCh. 4 - An evil king has n bottles of wine, and a spy has...Ch. 4 - Prob. 56CCh. 4 - Prob. 57CCh. 4 - Prob. 58CCh. 4 - Prob. 59CCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Perform an experimental analysis to test the...Ch. 4 - Prob. 63P
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- Given a vector of real numbers r = (r1, r2, ..., rm). We can standardize the vector using the formulation: vi = "im, where m ri-m is the mean of the vector r, and s is the standard deviation of r. The vector v = (v1, v2, ..., Un) will be the scaled vector. Write a Python function scale_vec (r) that takes the vector r as input and returns the scaled vector v. Sample inputs and outputs: ● Input: np.array([1, 3, 5]), output: [-1.22474487 0. 1.22474487] • Input: np. array([3.3, 1.2, -2.7, -0.6]), output: [1.35457092 0.40637128 -1.35457092 -0.40637128] Hint: Use numpy.mean and numpy.std with default parameters. # Write your function here. Let's test your function. [ ] import numpy as np print (scale_vec (np.array([1, 3, 5]))) print (scale_vec (np.array([3.3, 1.2, -2.7, -0.6])))arrow_forwardConsider three variable Boolean function of your choice with at least four standard terms, write them in either complete minterms and then convert the minterms into maxterms or vice versa.arrow_forwardWrite a program to Plot a four (4) function of x (in a separate plot) , where: y1= sin(3x), y2 = cos (5x ) ,y3 = tan(3x ) y4=cot(x) in the interval of x from 1 to 4 in step of 0.1 then add titles to the plot.arrow_forward
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- Express the following function as a sum of minterms and as a product of maxterms:F(A, B, C, D) = BD + AD + BDarrow_forwardQuestion: The module timeit allows you to compute the time a function call takes. Verify your answer about the time complexity by computing the run time for randomly chosen arc diagrams of suitable sizes and producing an appropriate plot of the average run times against the lengths of the matchings. Can you help me to check my code and also can you provide an interpretation to my results(the graph).arrow_forwardAlthough the plot function is designed primarily for plotting standard xy graphs, it can be adapted for other kinds of plotting as well. b. Make a plot of the curve, which is defined parametrically by the equations x = 2cosθ + cos2θ, y = 2sinθ - sin2θ, where 0 < θ < 2π. Take a set of values of θ between zero and 2π and calculate x and y for each from the equations above, then plot y as a function of x. b. Taking this approach a step further, one can make a polar plot r = f(θ) for some function f by calculating r for a range of values of θ and then converting r and θ to Cartesian coordinates using the standard equations x = r cosθ, y = r sinθ. Use this method to make a plot of the function r = ecosθ – 2 cos(4θ) + sin5 (θ/12) in the range 0 <= θ <= 24π. use python code to answer the highlight onearrow_forward
- Please use Octave or Matlab - I use Octave so that is preferable Gauss Seidel function file: function xnew=gauss_seidel(A,b,xold) n=size(A)(1); At=A;xnew=xold; for k=1:n At(k,k)=0; endfor k=1:n xnew(k)=(b(k)-At(k,:)*xnew)/A(k,k); end endfunctionarrow_forwardUsing Matlab Given a positive integer expressed in an arbitrary base, write a function to express it as a decimal. On input the function takes a vector v (of arbitrary length) that contains the digits, and the base b. Returns n function n = toDec(v, b)arrow_forwardWrite a program in Matlab that asks the user to type a square matrix and that: -verifies if the matrix is squared or not, if not, it asks the user to type a square matrix -Shows a message to say if the matrix is reversible or not -Shows the average of the matrix's values (without using the average function but a loop) -Shows the higher value of the reversed matrix (if possible) (without using the max function but a loop)arrow_forward
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