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1 At position x in the base circle, the y-coordinate is 1 x 2 Therefore the disc slice has radius 1 x 2 and area (1 x 2 ) The volume of the

true if the argument is even and false otherwise Thus, it is compatible with the IsEven delegate declaration At this point, you might be wondering how the compiler knows the type of the data used in a lambda expression For example, in the lambda expression assigned to incr, how does the compiler know that count is an int The answer is that the compiler infers the type of the parameter and the expression s result type from the delegate type Thus, the lambda parameters and return value must be compatible with the parameter type(s) and return type of the delegate Although type inference is quite useful, in some cases, you might need to explicitly specify the type of a lambda parameter To do so, simply include the type name For example, here is another way to declare the incr delegate instance:

Incr incr = (int count) => count + 2;

Notice now that count is explicitly declared as an int Also notice the use of parentheses They are now necessary (Parentheses can be omitted only when exactly one parameter is specified and no type specifier is used) Although the preceding two lambda expressions each used one parameter, lambda expressions can use any number, including zero When using more than one parameter you must enclose them within parentheses Here is an example that uses a lambda expression to determine if a value is within a specified range:

Sometimes, business writing reads like a holdover from another age, sounding overly formal, even archaic If your goal is write in a professional but conversational manner, you need to avoid cumbersome words and phrases Arcane writing slows down and may even confuse your readers Anytime readers have to pause and think about your meaning, you risk losing their attention

(low, high, val) => val >= low && val <= high;

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Here is a delegate type that is compatible with this lambda expression:

delegate bool InRange(int lower, int upper, int v);

Thus, you could create an InRange delegate instance like this:

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InRange rangeOK = (low, high, val) => val >= low && val <= high;

After doing so, the lambda expression can be executed as shown here:

if(rangeOK(1, 5, 3)) ConsoleWriteLine("3 is within 1 to 5");

One other point: Lambda expressions can use outer variables in the same way as anonymous methods, and they are captured in the same way

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As you scan the list of words and phrases below on the left, consider replacing them with the simpler alternatives suggested on the right The principle of FURY, discussed in Four, highlighted the importance of using familiar and easy-to-understand words Instead of abbreviate accelerate accompany accomplish accordingly accumulate accurate achieve acquaint with acquire Consider Using shorten speed up go with do, nish so gather correct, exact, right do, succeed tell, inform get, buy

As mentioned, there are two basic flavors of the lambda expression The first is the expression lambda, which was discussed in the preceding section As explained, the body of an expression lambda consists solely of a single expression The second type of lambda expression is the statement lambda A statement lambda expands the types of operations that can be handled within a lambda expression because it allows the body of lambda to contain multiple statements For example, using a statement lambda you can use loops, if statements, declare variables, and so on A statement lambda is easy to create Simply enclose the body within braces Aside from allowing multiple statements, it works much like the expression lambdas just discussed

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Here is an example that uses a statement lambda to compute and return the factorial of an int value:

2 We calculate the volume of half the solid and then double the answer For 0 x 1, at position x in the base square, the y extent is (1 x) y 1 x Thus the equilateral triangular slice has side 2(1 x) and area 3(1 x)2 Thus the volume of the solid is V=2