Prove that if we order the characters in an alphabet so that their frequencies are monotonically decreasing,
Question:
Prove that if we order the characters in an alphabet so that their frequencies are monotonically decreasing, then there exists an optimal code whose codeword lengths are monotonically increasing.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
Little formalmathematical note here We are required to prove existence of an optimal code with some property Therefore we are required also to show th...View the full answer
Answered By
Sandra Dimaala
Sandra from Philippines ,LICENSED PROFESSIONAL TEACHER.
Teachers are our nation builders—the strength of every profession in our country grows out of the knowledge and skills that teachers help to instill in our children. And, as a nation, we must do much, much more to fully appreciate and support their work.
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Question Posted:
Students also viewed these Computer science questions
-
In order to transform one source string of text x [1 m] to a target string y [1 n], we can perform various transformation operations. Our goal is, given x and y, to produce a series of...
-
Prove that if we apply a unit force to node i in a structure and measure the displacement of node j in the direction of the force, then we obtain the same value if we apply the force to node j and...
-
If A is symmetric and invertible and A = LDLT (with L unit lower triangular and D diagonal), prove that this factorization is unique. That is, prove that if we also have A = L1D1LT1 (with L1 unit...
-
Use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independent variables. OF -; F(u, v) = eu+v, u = x, v = xy
-
A nitro group( - NO2) effectively stabilizes a negative charge on an adjacent carbon atom through resonance: Two of the following nitrophenols are much more acidic than phenol itself. The third...
-
Why is a product-oriented layout preferred by just-in-time manufacturers over a process-oriented layout? AppendixLO1
-
how can process technology be evaluated strategically?
-
An important element of this chapter is the concept of a simple random sample. a. What is a simple random sample? b. When the Bureau of Labor Statistics conducts a survey, it begins by partitioning...
-
Which is Better: A Rebate or a Low Introductory Interest Rate? Automobile manufacturers and dealers use a variety of marketing devices to sell cars. Among these are rebates and low-cost...
-
Sweet Acacia Ranch & Farm is a distributor of ranch and farm equipment. Its products include small tools, power equipment for trench-digging and fencing, grain dryers, and barn winches. Most...
-
Describe an efficient algorithm that, given a set x 1, x 2, . . . ,x n of points on the real line, determines the smallest set of unit-length closed intervals that contains all of the given points....
-
Suppose we have an optimal prefix code on a set C = {0, 1, . . . n 1} of characters and we wish to transmit this code using as few bits as possible. Show how to represent any optimal prefix code on...
-
Equipment owned by a company has a net book value of 1800 and has been idle for some months. It could not be used on a six months contract which is being considered. If not used on this contract, the...
-
CASE 7.2 Oracle Corporation: Share-Based Compensation Effects/Statement of Shareholders' Equity A sales-based ranking of software companies provided by Yahoo! Finance on November 5, Year 8, places...
-
A manufacturer of ovens sells them for $1,450 each. The variable costs are $800 per unit. The manufacturer's factory has annual fixed costs of $1,735,000. a. Given the expected sales volume of 3,100...
-
1.1 Explain the vitality of a strategy on businesses like Dell. (15) 1.2 Critically discuss the underlying objectives Dell should follow when formulating its business strategy. (20) 1.3 Discuss the...
-
Our international business plan involves exporting a sustainable apparel brand from India to UK. We will be exploring this plan in further detail below: Product/ Service: Sustainable clothing line...
-
If X is a random variable with probability density function f given by: f (x) = 4x 4x 3 when 0 x 1 and 0 otherwise, compute the following quantities: (a) The cumulative distribution function F...
-
Determine the molecular formulas corresponding to each of the following structures. For each structure, calculate the number of degrees of unsaturation from the molecular formula and evaluate whether...
-
Coastal Refining Company operates a refinery with a distillation capacity of 12,000 barrels per day. As a new member of Coastal's management team, you have been given the task of developing a...
-
Consider an initially empty memory cache consisting of four pages. How many page misses does the FIFO algorithm incur on the following page request sequence: (2,3,4,1,2,5,1,3,5,4,1,2,3)?
-
Karen has a new way to do path compression in a tree-based union/find partition data structure starting at a position p. She puts all the positions that are on the path from p to the root in a set S....
-
Suppose we are given a directed graph G with n vertices, and let M be the nÃn adjacency matrix corresponding to G. a. Let the product of M with itself (M 2 ) be defined, for 1¤i, j...
-
Difference between online shopping and e-commerce.
-
Convenience yield can be viewed as the option to consume out of storage. The greater the supply of the commodity relative to consumption, the easier it is to procure the commodity, and the...
-
Group Number: 1. Process Instrumentation Subdivision 1.1. The data Old pressure transmitter equipment production 0 Market values Units Growth Share Initial 100 000 0% 50% Market Units Market Share...
Study smarter with the SolutionInn App