Q7. (a) Given a four symbol source {a, b, c, d} with source probabilities {0.1, 0.4, 0.3, 0.2}, obtain encoded sequence corresponding to bbade. i) Using Huffman coding. ii) Using arithmetic coding.

Q: Prove by Contradiction: For all integers x and y, x^2 - 4y is not equal to 2

A: Answer :

Q: 14n is not O(12n)

A: Let's consider 14^n is  O(12^n) Thenthere exist constants C and k so that 14^n <= C(12^n)for all…

Q: T(n) = T(vn) +1. Solve the following recurrence relationships

A: Here, 1 denotes that the time required to compare and return the value is constant. The Master's…

Q: Which equation solutions need numerical approximation?

A: Your answer is given below.

Q: To solve x such that 29x = 1 mod 100, we need to find the inverse of x. For such an inverse to…

A: If two integers a and b are coprimes, then only positive integer that is a divisor of both of them…

Q: Find all solutions to the congruence5x−3 = 4 (mod 25). If none exists, explain why. If there are one…

A: Solution:

Q: What is the recurrence equation that describes the resulting divide and conquer algorithm for…

A: I have answered this question in step 2.

Q: Show that the solution of T(n)= T (n-1) + n is O(n^2). Do not use the Master Theorem.

A: Here is the explanation of the above problem.

Q: 8. Solve with Python. A civil engineer involved in the construction requires 4800, 5810, and 5690 m³…

A: First we need to formulate the three linear equations.  Since 4800 m3 of sand is required. So we…

Q: 1. Find the volume of the solid whose cross-sections in the plane perpendicular to the x-axis are…

A: 1. Import the math module to access mathematical functions.2. Define a function named…

Q: Which of the following algorithms can be used to find the optimal solution of an ILP? (a)…

A: This question comes from Nunber Theory which is a paper of Computer Science. Let's discuss it in the…

Q: Solve the following equations using Gaussian Elimination Method: 2x1 + 10x2 +6x3 = 4 x1 +x2 + 2x3 =…

A: Gaussian elimination (linear and polylinear algebra) solves a system of linear equations by first…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.