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Does the slope of the line in Fig 28-1 seem smaller than 2 In a way, it is! In the algebraic sense the slope is 2, but in the geometric sense it s only 2/5 The increments on the vertical axis are five times as large as the ones on the horizontal axis That distorts the slopes and contours of the graphs, expanding everything horizontally (or compressing everything vertically) by a factor of 5 If we had used a true Cartesian plane, the line would have the steepness we should expect for a slope of 2 when drawn The parabola would also look different; it would seem five times sharper

498 Data transmission 17 The bandwidth of a fax signal is kept narrow by: A Sending the data at a slow rate of speed B Limiting the image resolution C Limiting the range of shades sent D Using pulse modulation 18 What is the wavelength of a 213-MHz signal A 462 m B 141 m C 210 km D 639 km 19 A coaxial cable: A Keeps the signal confined B Radiates efficiently C Works well as a transmitting antenna D Can pick up signals from outside 20 An advantage of fiberoptics over cable communications is: A More sensitivity to noise B Improved antenna efficiency C Higher RF output D Simpler and easier maintenance

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In the second example in Chap 27, we solved this system of quadratic equations in two variables: 4x 2 + 6x + 2y + 8 = 0 and 3x 2 + y + 5x 11 = 0

Digital images can be compressed in either of two ways In lossless image compression, detail is not sacrificed; only the redundant bits are eliminated In lossy image compression, some detail is lost, although the loss is usually not significant

ONCE A SIGNAL HAS LEFT A TRANSMITTER, THE IMPULSES TRAVEL, OR propagate, in a cable, optical fiber, or space In cables, the signals are ac (usually) or dc (sometimes) In fiberoptic systems, the signals are infrared or visible light The signals are confined in cables and fibers; the only important variable is the attenuation per kilometer This depends on the ac frequency, the thickness of wire, or the clarity of optical fiber material In communication via electromagnetic waves, the propagation is affected by several factors

Again, we let x be the independent variable, and then we manipulated the equations to obtain y as a function of x in both cases That gave us y = 2x 2 3x 4 and y = 3x 2 5x + 11

First, we tabulate some points Table 28-2 shows some values of x, along with the results of plugging those values into the above functions and churning out the arithmetic We can start building the table by entering the two solutions, which we determined in Chap 27 They are

Packet Wireless In packet wireless, a computer is connected to a radio transceiver using a terminal node controller (TNC), which is similar to a modem An example is shown in Fig 26-6A The computer has a tele-

The orientation of the E flux is the polarization of an EM wave If the E flux lines are parallel to the earth s surface, you have horizontal polarization If the E flux lines are perpendicular to the surface, you have vertical polarization Polarization can be slanted at any angle between horizontal and vertical The orientation of the E flux lines sometimes rotates as the wave travels through space This is circular polarization if the E-field intensity remains constant If the E-field intensity is more intense in some planes than in others, the polarization is said to be elliptical Rotating polarization can be either clockwise or counterclockwise, viewed as the wavefronts approach you This is the sense of polarization

(x, y) = ( 5, 39) and (x, y) = (3, 31) These solutions are written as bold numerals The other values are chosen to produce graph points in the vicinity of the solutions We can choose a couple of x-values less than 5, two more between 5 and 3, and two more larger than 3 Then we can calculate the values of the functions, and write them in the middle and right-hand columns of the table

Table 28-2 Selected values for graphing the functions y = 2x 2 3x 4 and y = 3x 2 5x + 11 Bold entries indicate real solutions

Electromagnetic waves follow straight lines unless something makes them bend Line-of-sight propagation can take place even when the receiving antenna can t be seen 499

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