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We need to determine the low- and high-frequency behavior of the system First we consider the low-frequency behavior That is, we consider the magnitude of the frequency response H ( ) when 20 We have |H ( )|dB = 20 log10 1 + j 20 log10 |1| 0 as 0 20

4

an error diagnostic There are many situations where we want to avoid null values In particular, it is essential to prohibit null values in the primary key of a relation schema Thus, in our bank example, in the customer relation, we must prohibit a null value for the attribute customer-name, which is the primary key for customer

FIGURE 11-10

.

Next we consider the high-frequency behavior To do this, recall that for a complex number z, the modulus is |z|2 = z z In our case, we have z =1+ j And so we get |z|2 = 1 + j 20 1 j =1+ j j + j 20 20 20 20 2 =1+ 400 j 20 , z =1 j 20 20

We de ne an SQL relation by using the create table command: create table r(A1 D1 , A2 D2 , , An Dn , integrity-constraint1 , , integrity-constraintk ) where r is the name of the relation, each Ai is the name of an attribute in the schema of relation r, and Di is the domain type of values in the domain of attribute Ai The allowed integrity constraints include primary key (Aj1 , Aj2 , , Ajm ): The primary key speci cation says that attributes Aj1 , Aj2 , , Ajm form the primary key for the relation The primary key attributes are required to be non-null and unique; that is, no tuple can have a null value for a primary key attribute, and no two tuples in the relation can be equal on all the primary-key attributes1 Although the primary key speci cation is optional, it is generally a good idea to specify a primary key for each relation check(P): The check clause speci es a predicate P that must be satis ed by every tuple in the relation The create table command also includes other integrity constraints, which we shall discuss in 6 Figure 48 presents a partial SQL DDL de nition of our bank database Note that, as in earlier chapters, we do not attempt to model precisely the real world in the bank-database example In the real world, multiple people may have the same name, so customer-name would not be a primary key customer; a customer-id would more likely be used as a primary key We use customer-name as a primary key to keep our database schema simple and short If a newly inserted or modi ed tuple in a relation has null values for any primarykey attribute, or if the tuple has the same value on the primary-key attributes as does another tuple in the relation, SQL ags an error and prevents the update Similarly, it ags an error and prevents the update if the check condition on the tuple fails By default null is a legal value for every attribute in SQL, unless the attribute is speci cally stated to be not null An attribute can be declared to be not null in the following way: account-number char(10) not null.

1 In SQL-89, primary-key attributes were not implicitly declared to be not null; an explicit not null declaration was required

To get a better feel for the navigation in your movie, be sure to use the controls on the remote control rather than clicking in the viewer window Although both methods can be used to play your movie, someone using a set-top DVD player will have to use their remote control to play your movie

The McGraw Hill Companies, 2001

create table customer (customer-name char(20), customer-street char(30), customer-city char(30), primary key (customer-name)) create table branch (branch-name char(15), branch-city char(30), assets integer, primary key (branch-name), check (assets >= 0)) create table account (account-number char(10), branch-name char(15), balance integer, primary key (account-number), check (balance >= 0)) create table depositor (customer-name char(20), account-number char(10), primary key (customer-name, account-number)) Figure 48

Taking the square root, |H ( )| 20 Therefore the large frequency expression for the magnitude expressed in decibels is