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WorkingPrecision is an option that specifies how many digits of precision should be maintained internally in computation. The default is WorkingPrecision 16. AccuracyGoal is an option that specifies how many significant digits of accuracy are to be obtained. The default is AccuracyGoal Automatic, which is half the value of WorkingPrecision. AccuracyGoal effectively specifies the absolute error allowed in a numerical procedure. PrecisionGoal is an option that specifies how many effective digits of precision should be sought in the final result. The default is PrecisionGoal Automatic, which is half the value of WorkingPrecision. PrecisionGoal effectively specifies the relative error allowed in a numerical procedure.

Once you have set your passcode, you will be presented with a few options: Turn Passcode Off Change Passcode Require Passcode (Immediately, 1 min., 5 min., 15 min., 1 hour, 4 hours)

EXAMPLE 19 We wish to obtain a 10-decimal place approximation to the solution of the equation cos 100 = x , x x +1 nearest to 5,000. FindRoot Cos 100 x , {x, 5000} x x +1

5000.83}

NOTE: Setting a shorter time for Require Passcode is more secure. Setting the time as Immediately, the default, is most secure. However, using a setting of one minute may save you the headache of retyping your passcode if you accidentally lock your iPad. Picture Frame (default is ON); set to OFF to prevent the pictures from being seen in locked mode. Erase Data (default is OFF; if this is set to ON, all data will be erased after ten unsuccessful attempts to enter the passcode. CAUTION: You may want to set Erase Data to OFF if you have young children who like to bang away at the security to unlock the keyboard when it comes out of sleep mode and is locked. Otherwise, you may end up with your iPad being erased frequently.

Mathematica s defaults are insufficient to give the required accuracy. By increasing WorkingPrecision, we can obtain the desired result. FindRoot Cos 100 x , {x, 5000}, WorkingPrecision 28 x x +1

Determine the multiplicities for the student-section problem from Example 11.12. All instances have to be related to exactly one parent instance. All parents have to be related to 1 to n child instances. For example, a college without courses is not allowed (by this model). For example, 0.. , specifies that there can be zero or more relationships. And, every course has to be associated with one college. See Fig. 11-11.

5000.83319115955609589817}

You might decide you don t want your kids listening to explicit lyrics in music on your iPad. You may also not want them to visit YouTube and watch content you find objectionable. Setting these restrictions is quite easy on your iPad. Once again, Touch the General tab under Settings and tap Restrictions. You will see a large button that says Enable Restrictions. When you touch this, you ll be prompted to enter a Restrictions Passcode just pick a four-digit code you will remember. NOTE: This a separate passcode from your main iPad passcode, you could set it to be the same to remember it easily, however that could be problematic if you let your family know the main passcode, but do not want them adjusting the restrictions.You will need to enter this passcode to turn off restrictions later. Notice that you can adjust whether to allow certain apps at all: Safari, YouTube, iTunes, Installing Apps or Location. OFF = RESTRICTED

Since AccuracyGoal is, by default, half the value of WorkingPrecision, only the first 14 significant digits can be trusted. Thus, x 5000.8331911595 (accurate to ten decimal places).

EvaluationMonitor can be used to show intermediate calculations to be performed and displayed. The format is EvaluationMonitor expression.