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This connection box has several connectors These include the following: Composite video input to move the video signal into your PC Composite video output so you can record your finished movie on your VCR Right and left channel audio inputs to copy the stereo audio into your PC Audio outputs so you can record the sound on your VCR S-Video input to copy a higher quality video signal into your PC S-Video output to record your movie on an S-Video VCR If you use the composite video from your VCR or analog camcorder, you ll need an A/V cable like this one:

The McGraw Hill Companies, 2001

16

62 4(1)(5) = 1, 5 2(1)

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CHAPTER 3:

verify that, with rigorous two-phase locking, transactions can be serialized in the order in which they commit Most database systems implement either strict or rigorous two-phase locking Consider the following two transactions, for which we have shown only some of the signi cant read and write operations: T8 : read(a1 ); read(a2 ); read(an ); write(a1 ) T9 : read(a1 ); read(a2 ); display(a1 + a2 ) If we employ the two-phase locking protocol, then T8 must lock a1 in exclusive mode Therefore, any concurrent execution of both transactions amounts to a serial execution Notice, however, that T8 needs an exclusive lock on a1 only at the end of its execution, when it writes a1 Thus, if T8 could initially lock a1 in shared mode, and then could later change the lock to exclusive mode, we could get more concurrency, since T8 and T9 could access a1 and a2 simultaneously This observation leads us to a re nement of the basic two-phase locking protocol, in which lock conversions are allowed We shall provide a mechanism for upgrading a shared lock to an exclusive lock, and downgrading an exclusive lock to a shared lock We denote conversion from shared to exclusive modes by upgrade, and from exclusive to shared by downgrade Lock conversion cannot be allowed arbitrarily Rather, upgrading can take place in only the growing phase, whereas downgrading can take place in only the shrinking phase Returning to our example, transactions T8 and T9 can run concurrently under the re ned two-phase locking protocol, as shown in the incomplete schedule of Figure 169, where only some of the locking instructions are shown T8 lock-S (a 1 ) lock-S (a 2 ) lock-S (a 2 ) lock-S (a 3 ) lock-S (a 4 ) unlock(a 1 ) unlock(a 2 ) lock-S ( an ) upgrade (a 1 ) Figure 169 Incomplete schedule with a lock conversion T9 lock-S (a 1 ).

The McGraw Hill Companies, 2001

So the zero-input solution is v c (t) = Ae t + Be 5t If we were only interested in the zero-input solution, we could apply the initial conditions Setting the voltage v(0) = 1 gives A+B =1 Setting the derivative to zero gives 0 = A 5B We nd A = 5/4, B = 1/4 so the zero-input solution is 5 1 v c (t) = e t e 5t 4 4

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