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When working with databases, it is common to want to create a sequence that correlates data from two different data sources For example, an online store might have one database that associates the name of an item with its item number, and a second database that associates the item number with its in-stock status Given this situation, you might want to generate a list that shows the in-stock status of items by name, rather than by item number You can do this by correlating the data in the two databases Such an action is easy to accomplish in LINQ through the use of the join clause The general form of join is shown here (in context with the from): from range-varA in data-sourceA join range-varB in data-sourceB on range-varAproperty equals range-varBproperty The key to using join is to understand that each data source must contain data in common, and that the data can be compared for equality Thus, in the general form, data-sourceA and data-sourceB must have something in common that can be compared The items being compared are specified by the on section Thus, when range-varAproperty is equal to rangevarBproperty, the correlation succeeds In essence, join acts like a filter, allowing only those elements that share a common value to pass through When using join, often the sequence returned is a composite of portions of the two data sources Therefore, join lets you generate a new list that contains elements from two different data sources This enables you to organize data in a new way

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19:

Theorem 41 (Fundamental Theorem of Calculus)

The following program creates a class called Item, which encapsulates an item s name with its number It creates another class called InStockStatus, which links an item number with a Boolean property that indicates whether or not the item is in stock It also creates a class called Temp, which has two fields: one string and one bool Objects of this class will hold the result of the query The query uses join to produce a list in which an item s name is associated with its in-stock status

// Demonstrate join using System; using SystemLinq; // A class that links an item name with its number class Item { public string Name { get; set; } public int ItemNumber { get; set; } public Item(string n, int inum) { Name = n; ItemNumber = inum; } } // A class that links an item number with its in-stock status class InStockStatus { public int ItemNumber { get; set; } public bool InStock { get; set; } public InStockStatus(int n, bool b) { ItemNumber = n; InStock = b; } } // A class that encapsulates a name with its status class Temp { public string Name { get; set; } public bool InStock { get; set; } public Temp(string n, bool b) { Name = n; InStock = b; } } class JoinDemo { static void Main() { Item[] items = { new Item("Pliers", 1424), new Item("Hammer", 7892), new Item("Wrench", 8534), new Item("Saw", 6411) };

Part I:

f (x) dx = F (b) F (a)

InStockStatus[] statusList = new InStockStatus(1424, new InStockStatus(7892, new InStockStatus(8534, new InStockStatus(6411, };

{ true), false), true), true)

// Create a query that joins Item with InStockStatus to // produce a list of item names and availability Notice // that a sequence of Temp objects is produced var inStockList = from item in items join entry in statusList on itemItemNumber equals entryItemNumber select new Temp(itemName, entryInStock); ConsoleWriteLine("Item\tAvailable\n"); // Execute the query and display the results foreach(Temp t in inStockList) ConsoleWriteLine("{0}\t{1}", tName, tInStock); } }

The output is shown here:

We use the Fundamental Theorem In this example, f ( x) = x 2 We need to find an antiderivative F From our experience in Section 41, we can determine that F ( x) = x 3 /3 will do Then, by the Fundamental Theorem of Calculus,

Writing for results requires encouraging your readers to take action In this chapter, you ll learn how to arrange your thoughts so that you write with the action in mind When you think rst and then write, you have a much better chance of achieving your objective You re going to learn a methodical process, one that will be easy to use and easy to remember In this chapter, you re going to use three tools that, taken together, will help you set your objective and analyze your audience The three tools are: 1 Answer the question, What do I want my readers to do as a result of reading this 2 Analyze your audience by considering their personalities and using the Formality Index 3 Assess your writing assignment with the Matrix of Persuasion