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In a query, you will sometimes want to retain a value temporarily For example, you might want to create an enumerable variable that can, itself, be queried Or, you might want to store a value that will be used later on in a where clause Whatever the purpose, these types of actions can be accomplished through the use of let The let clause has this general form: let name = expression Here, name is an identifier that is assigned the value of expression The type of name is inferred from the type of the expression Here is an example that shows how let can be used to create another enumerable data source The query takes as input an array of strings It then converts those strings into char arrays This is accomplished by use of another string method called ToCharArray( ), which returns an array containing the characters in the string The result is assigned to a variable called chrArray, which is then used by a nested from clause to obtain the individual characters in the array The query then sorts the characters and returns the resulting sequence

// Use a let clause and a nested from clause using System; using SystemLinq; class LetDemo { static void Main() { string[] strs = { "alpha", "beta", "gamma" }; // Create a query that obtains the characters in the // strings, returned in sorted order Notice the use // of a nested from clause var chrs = from str in strs let chrArray = strToCharArray() from ch in chrArray orderby ch select ch; ConsoleWriteLine("The individual characters in sorted order:"); // Execute the query and display the results foreach(char c in chrs) ConsoleWrite(c + " "); ConsoleWriteLine(); } }

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The output is shown here:

Part I:

area under the graph of y = 2x and above the x-axis, between x = 1 and x = 2 You should obtain the answer 3, which of course can also be determined by elementary considerations---without taking limits

In the program, notice how the let clause assigns to chrArray a reference to the array returned by strToCharArray( ):

let chrArray = strToCharArray()

After the let clause, other clauses can make use of chrArray Furthermore, because all arrays in C# are convertible to IEnumerable<T>, chrArray can be used as a data source for a second, nested from clause This is what happens in the example It uses the nested from to enumerate the individual characters in the array, sorting them into ascending sequence and returning the result You can also use a let clause to hold a non-enumerable value For example, the following is a more efficient way to write the query used in the IntoDemo program shown in the preceding section

The most important idea in all of calculus is that it is possible to calculate an integral without calculating Riemann sums and passing to the limit This is the Fundamental Theorem of Calculus, attributed to Leibniz and Newton We now

var webAddrs = from addr in websites let idx = addrLastIndexOf('') where idx != -1 group addr by addrSubstring(idx) into ws where wsCount() > 2 select ws;

In this version, the index of the last occurrence of a period is assigned to idx This value is then used by Substring( ) This prevents the search for the period from having to be conducted twice