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Both the header and the data in a TCP packet are protected with a checksum This allows the TCP protocol to insure that data in the message have not been corrupted As you can imagine by now, if the destination computer detects corrupted data in a packet, it can simply ask the sender to resend data corresponding to a particular sequence number We have simplified the discussion of sequence numbering somewhat in hopes of making it easier to understand conceptually In practice, every byte in a TCP message is sequenced The message header in a TCP packet.

The distinction between identical equality and mathematical equality exists in Java only for reference variables (i.e., only for objects). For all variables of primitive types, the equality operator tests for mathematical equality.

Data structures have both content and structure. So it is possible for two data structures to have equal contents (i.e., have the same contents) but be organized differently. For example, two arrays could both contain the three numbers 22, 44, and 88, but in different orders. EXAMPLE 11.7 Testing Equality of Arrays

CHAP. 7]

1 2 3 4 5 6 7 8 9 10 11 12 13 14

[His amplification of these last four words makes a negative reference to the Iraq War, drawing reaction from the audience] Go into any inner city neighborhood, and folks will tell you.

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public class TestArraysEquality { public static void main(String[] args) { int[] x = { 22, 44, 88 }; int[] y = { 88, 44, 22 }; ch02.ex02.DuplicatingArrays.print(x); ch02.ex02.DuplicatingArrays.print(y); System.out.println("Arrays.equals(x, y) = " + Arrays.equals(x, y)); Arrays.sort(x); Arrays.sort(y); ch02.ex02.DuplicatingArrays.print(x); ch02.ex02.DuplicatingArrays.print(y); System.out.println("Arrays.equals(x, y) = " + Arrays.equals(x, y)); } }

has the starting sequence number, and the receiver will increment that number by the number of bytes in the message The receiver will expect the next packet to start with the incremented number plus one The sequence numbering scheme insures correct sequencing of bytes in the message, efficient resending of corrupted or lost packets, and correct disposal of duplicate packets Yet another service of the TCP protocol is regulating the speed of senders Data communications people refer to this as flow control With every message and acknowledgement, each computer informs the other of the number of bytes it is ready to receive This number of bytes is known as the data window If a fast sender starts to overrun a slower receiver, the acknowledgement for a packet will soon show a zero for the data window.

The output it:

The sender will stop transmitting until it receives another packet from the receiver announcing that it has room in its data window again To the application programs on both sides of the connection, TCP presents a byte stream of the data, very much like a file Applications can write to and read from a TCP connection very much as they would write and read files APPLICATION LAYER The application layer is everything above the transport, network, and data-link layers Application programs such as web browsers, file transfer programs, web servers, distributed data bases, and electronic mail use the application program interface (API) of the network protocol stack, and libraries of common networking routines, to access other computers over the network The Java language also has many built-in classes that make network programming much easier PUTTING IT ALL TOGETHER To put it all together, envision this.

{22, 44, 88} {88, 44, 22} Arrays.equals(x, y) = false {22, 44, 88} {22, 44, 88} Arrays.equals(x, y) = true This shows that the java.util.Arrays.equal() method requires not only the same contents for

Equality is a weaker relation than identity: Identical objects are always equal, but equal objects may not be identical; they could be distinct. Equality of data structures means the same structure and the same contents in the same order. A weaker kind of reflexive relation is isomorphism. Two data structures are isomorphic if they have the same structure. This concept is used when the data part of the data structure is irrelevant. Two arrays are isomorphic if they have the same length. Two trees are isomorphic if one tree can be rearranged to match the other. More formally, T1 is isomorphic to T2 (sometimes written T1 T2 ) if there is a one-to-one mapping (an isomorphism) between them that preserves parent-child relationship between all nodes. EXAMPLE 11.8 Isomorphic Trees

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