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Of course, during this three-way handshake, the devices are negotiating parameters like the window size, which restricts how many segments a device can send before waiting for an acknowledgment from the destination. Also during the transmission of actual data, the source and destination acknowledge the receipt of received segments from the other device. The TCP setup process is often referred to as a defined state machine because a connection is opened first, data is sent, and the connection is torn down upon completion of the data transaction.

group addr by addr.Substring(addr.LastIndexOf(".", addr.Length)) into ws where ws.Count() > 2 select ws;

Absolute time is the actual value of the timestamp, indicating the real-world time (date, hour, minute, second, microsecond, millisecond, nanosecond) that the frame was received. It is used to determine the exact time that a frame was transmitted on the network. Relative time shows the frames with times offset from a base set by the user. The user selects a reference frame and the time values are shown as relative to that reference frame. It is used to determine the delay between frames on the network. Delta time mode shows the time values relative to the preceding time. This is used to determine the timing between subsequent frames on the network.

Although the generics feature can be applied to several C# constructs, its primary use is to create a generic class. Thus, it is there that we will begin our discussion. Let s start with a simple example. The following program defines two classes. The first is the generic class MyGenClass, and the second is GenericsDemo, which uses MyGenClass.

Router# debug ppp negotiation PPP protocol negotiation debugging is on Router# configure terminal Enter configuration commands, one per line. End with CNTL/Z. Router(config)# interface serial 0 Router(config-if)# no shutdown %LINK-3-UPDOWN: Interface Serial0, changed state to up ppp: sending CONFREQ, type = 5 (CI_MAGICNUMBER), value = 4FEFE5 PPP Serial0: received config for type = 0x5 (MAGICNUMBER) value = 0x561036 acked PPP Serial0: state = ACKSENT fsm_rconfack(0xC021): rcvd id 0x2 ppp: config ACK received, type = 5 (CI_MAGICNUMBER), value = 4FEFE5 ipcp: sending CONFREQ, type = 3 (CI_ADDRESS), Address = 192.168.2.1 ppp Serial0: Negotiate IP address: her address 192.168.2.2 (ACK) ppp: ipcp_reqci: returning CONFACK. ppp: cdp_reqci: returning CONFACK PPP Serial0: state = ACKSENT fsm_rconfack(0x8021): rcvd id 0x2 ipcp: config ACK received, type = 3 (CI_ADDRESS), Address = 192.168.2.1 PPP Serial0: state = ACKSENT fsm_rconfack(0x8207): rcvd id 0x2 ppp: cdp_reqci: received CONFACK %LINEPROTO-5-UPDOWN: Line protocol on Interface Serial0, changed state to up

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Since string defines a data type, it is possible to create containers that hold objects of type string. For example, here is a better way to write the dictionary program shown earlier:

Let s examine this program closely. First, an event handler delegate called MyEventHandler is defined. Next, the class MyEvent is declared. It begins by defining a three-element array of event handlers called evnt, as shown here:

Now you will see why our new definition of logarithm is so convenient. If we want to differentiate the logarithm function, we can apply the Fundamental Theorem of Calculus: d d ln x = dx dx

Let f be the function which assigns to each working adult American his or her Social Security Number (a 9-digit string of integers). Let g be the function which assigns to each working adult American his or her age in years (an integer between 0 and 150). Both functions have the same domain, and both take values in the nonnegative integers. But there is a fundamental difference between f and g. If you are given a Social Security number, then you can determine the person to whom it belongs. There will be one and only one person with that number. But if you are given a number between 0 and 150, then there will probably be millions of people with that age. You cannot identify a person by his/her age. In summary, if you know g(x) then you generally cannot determine what x is. But if you know f (x) then you can determine what (or who) x is. This leads to the main idea of this subsection. Let f : S T be a function. We say that f has an inverse (is invertible) if there is a function f 1 : T S such that (f f 1 )(t) = t for all t T and (f 1 f )(s) = s for all s S. Notice that the symbol f 1 denotes a new function which we call the inverse of f . Basic Rule for Finding Inverses To nd the inverse of a function f , we solve the equation (f f 1 )(t) = t for the function f 1 (t). EXAMPLE 1.40