Using Code Examples Supplemental material (code examples, exercises, etc.) is available for download at https://github.com/oreillymedia/data_structures_and_algorithms_using_javascript. This book is here to help you get your job done. In general, if example code is offered[r]
Definition 2.19 A planar graph is a graph that can be drawn in the plane without any edges intersecting.
An example of a planar graph is shown in Figure 2.11. Notice that it is possible to draw the graph in the plane with edges that cross although it is still planar.
Figure 2.19 Hypercube Architecture In general, in a hypercube of dimension d , a message travelling from processor x to processor y has d ( x , y ) ! distinct paths (see Problem 2.11). One simple algorithm is to compute the exclusive-or of the source and destinatio[r]
In the figure there exists a high-level base class called the graphic context. In a typical application a number of subclasses might be derived from it. In this case the graphics context specifies the line width, gray scale, and scale for its subsidiary objects. A deriv[r]
This is known as Amdahl's Law. The ratio shows that even with an infinite amount of computing power an algorithm with a sequential component can only achieve the speedup in Eq. 2.50. If an algorithm is 50% sequential then the maximum speedup achievable is 2. While this may be a strong argu[r]
can be solved by assuming a solution of the form R ( n ) = λ n . This yields If the equation has two distinct roots, λ 1 ,λ 2 , then the solution is of the form where the constants, C 1 , C 2 , are chosen to enforce Eq. 2.19. If the roots, however, are not distinct then an alt[r]
Computational Geometry: Theory and Applications. He previously served on the editorial board of IEEE Transactions on Computers. In addition to their research accomplishments, the authors also have extensive experience in the classroom. For example, Dr. Goodrich has taught <[r]
x1 is used to denote the first element of the sequence, x (1) In general, and will be written as Unless otherwise noted, when x is a sequence and f is a function of one variable, f ( x ), is the sequence obtained by applying the function f to each of the elements o[r]
These formulas merely provide a rough measure of performance as functions of n, and they allow the classification of sorting algorithms into primitive, straight methods (n2) and advanced or "logarithmic" methods (n*log(n)). For practical pur[r]
TRANG 1 ORGANIC CHEMISTRY 4TH EDITION PAULA YURKANIS BRUICE CHAPTER 3 ALKENES: STRUCTURES, NOMENCLATURE, AND AN INTRODUCTION TO REACTIVITY THERMODYNAMICS AND KINETICS Irene Lee Case West[r]
International Sales 1-317-428-3341 international@pearsontechgroup.com Executive Editor Michael Stephens Acquisitions Editor Carol Ackerman Development Editor Songlin Qiu Managing Editor [r]
2.6.3.5 Message Passing in Efficient Hypercubes The code to simulate message passing in an efficient hypercube is shown in Code List 2.8. The output of the program is shown in Code List 2.9. The path for communicating from 0 to 63 is given as 0-1-3-7-15-31-63 as s[r]
In C#, arrays are not only a built-in data type, they are also a class. Later in this chapter, when we examine the use of arrays in more detail, we will discuss how arrays are used as class objects. We can use an array to store a linear collection. Adding new ele[r]
should maintain λ<' 0.5 for the open addressing schemes and we should maintain X < 0.9 for separate chaining. The built-in class java.util.HashMap, which imple ments the map ADT, uses the threshold 0.75 as a default maximum load factor and rehashes any time the load fa[r]
The number zero, however, cannot be scaled to begin with a one. For this case the standard indicates that 32-bits of zeros is used to represent the number zero. 1.2.1.2 IEEE 64 bit Standard The IEEE 64-bit standard is often referred to as double precision format. It consists of a 52-[r]
Previous Table of Contents Next 1.1.4 Sign Extension This section investigates the conversion from an n -bit number to an m -bit number for signed- magnitude, unsigned, and 2’s complement. It is assumed that m > n . This problem is important due to the fact that ma[r]