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NET Dim cn As New SqlConnection( _ "Data Source=localhost;Database=Northwind;Trusted_Connection=Yes") Dim intRet As Int16 Dim cmd As New SqlCommand("Select count(*) from customers", cn) Const EXPECTED As Integer = 91 'set number of expected items cnOpen() intRet = cmdExecuteScalar If intRet = EXPECTED Then MessageBoxShow("Test passed; Expected: " & EXPECTED & " Actual: " & intRet) Else MessageBoxShow("Test failed; Expected: " + EXPECTED + " Actual: " + intRet) End If cnClose() C# //Note: Add a using SystemDiagnostics and a using SystemDataSqlClient; // to the top of your code page..

A3 Convert the following system of linear equations into a matrix equation as shown in equation A6 and nd matrices A and b

From your earliest training in arithmetic, you have dealt with real numbers such as 4, 2, 5 , , e, etc, which may be used to measure distances in one direction 9 or another from a xed point However, a number that satis es the equation x2 + 9 = 0 (A8)

Percent (AFPs) 246% 254% 92% 177% 54% 54% 08% 23% 23% 00% 38% 31%

is not a real number Imaginary numbers were introduced to solve equations such as equation A8 Imaginary numbers add a new dimension to our number system To deal with imaginary numbers, a new element, j , is added to the number system having the property j 2 = 1 or j = 1 (A9)

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Thus, we have j 3 = j , j 4 = 1, j 5 = j , etc Using equation A9, you can see that the solutions to equation A8 are j 3 In mathematics, the symbol i is used for the imaginary unit, but this might be confused with current in electrical engineering Therefore, the symbol j is used in this book A complex number (indicated in boldface notation) is an expression of the form A = a + jb (A10)

SqlConnection cn = new SqlConnection ("Data Source=localhost;Database=Northwind;Trusted_Connection=Yes"); Int16 intRet; SqlCommand cmd = new SqlCommand("Select count(*) from customers", cn); const int EXPECTED = 91; cn.Open(); intRet = Convert.ToInt16 (cmd.ExecuteScalar()); if (intRet == EXPECTED) { MessageBox.Show("Test passed; Expected: " + EXPECTED + " Actual: " + intRet); } else { MessageBox.Show("Test failed; Expected: " + EXPECTED + " Actual: " + intRet); } cn.Close(); The code in Listing 8-4 is pretty simple, yet effective. It calls the ExecuteScalar() method of the Command object. The ExecuteScalar() method returns an integer value that is the result of the SQL statement executed. In this case, the SQL statement is one that returns the number of rows in the Customers table. This value is compared to an expected value that is loaded into a constant called EXPECTED. If the two values are the same, then the program indicates a pass result; otherwise, it returns a failure. Keep in mind that you could use the logging techniques learned in 3 to also log this result to a file or a database. We re keeping it simple here for demonstration purposes. Another upgrade for this code would be to read the expected value from a textbox rather than use a constant this would make the code more flexible. Now you re ready to try out another example of working with ADO.NET. Exercise 8-3 will help cement your knowledge of ADO.NET for test situations. There will be many times, if you do a significant amount of work with the database, that you will find yourself using both the Database Explorer window and ADO.NET code in conjunction with each other. In Exercise 8-3, you will practice doing both.

where a and b are real numbers The complex number A has a real part, a, and an imaginary part, b, which can be expressed as a = Re A b = Im A (A11)

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