Closures are chunks of code that reference a variable outside themselves, (from below them on the stack), that might be called or executed later, (like when an event or delegate is defined, and could get called at some indefinite future point in time)... Because the outside variable that the chunk of code references may gone out of scope (and would otherwise have been lost), the fact that it is referenced by the chunk of code (called a closure) tells the runtime to "hold" that variable in scope until it is no longer needed by the closure chunk of code...

Func<int, int> GetMultiplier(int a)
{
     return delegate(int b) { return a * b; } ;
}
//...
var fn2 = GetMultiplier(2);
var fn3 = GetMultiplier(3);
Console.WriteLine(fn2(2));  //outputs 4
Console.WriteLine(fn2(3));  //outputs 6
Console.WriteLine(fn3(2));  //outputs 6
Console.WriteLine(fn3(3));  //outputs 9

闭包是传递到创建闭包的函数外部的匿名函数。 它维护它所使用的函数中的任何变量。

基本上闭包是一段代码，你可以把它作为参数传递给函数。c#支持匿名委托形式的闭包。

这里有一个简单的例子: 列表。Find方法可以接受并执行一段代码(闭包)来查找列表的项。

// Passing a block of code as a function argument
List<int> ints = new List<int> {1, 2, 3};
ints.Find(delegate(int value) { return value == 1; });

使用c# 3.0语法，我们可以这样写:

ints.Find(value => value == 1);

闭包是在另一个函数(或方法)中定义的函数，它使用父方法中的变量。这种位于方法中并包装在其中定义的函数中的变量的使用称为闭包。

Mark Seemann在他的博客文章中有一些关于闭包的有趣例子，他将面向对象编程和函数式编程进行了比较。

让它更详细

var workingDirectory = new DirectoryInfo(Environment.CurrentDirectory);//when this variable
Func<int, string> read = id =>
    {
        var path = Path.Combine(workingDirectory.FullName, id + ".txt");//is used inside this function
        return File.ReadAllText(path);
    };//the entire process is called a closure.

这是c# 7.0概要书中一个简单易懂的答案。

您应该知道的先决条件:lambda表达式可以引用方法的局部变量和参数 其中它被定义(外部变量)。

static void Main()
{
    int factor = 2;
   //Here factor is the variable that takes part in lambda expression.
    Func<int, int> multiplier = n => n * factor;
    Console.WriteLine (multiplier (3)); // 6
}

实部分:lambda表达式引用的外部变量称为捕获变量。捕获变量的lambda表达式称为闭包。

最后需要注意的一点:被捕获的变量是在委托实际调用时计算的，而不是在变量被捕获时计算的:

int factor = 2;
Func<int, int> multiplier = n => n * factor;
factor = 10;
Console.WriteLine (multiplier (3)); // 30

如果你有兴趣了解c#如何实现闭包，请阅读“I know the answer (its 42) blog”。

编译器在后台生成一个类来封装匿名方法和变量j

[CompilerGenerated]
private sealed class <>c__DisplayClass2
{
    public <>c__DisplayClass2();
    public void <fillFunc>b__0()
    {
       Console.Write("{0} ", this.j);
    }
    public int j;
}

对于函数:

static void fillFunc(int count) {
    for (int i = 0; i < count; i++)
    {
        int j = i;
        funcArr[i] = delegate()
                     {
                         Console.Write("{0} ", j);
                     };
    } 
}

把它变成:

private static void fillFunc(int count)
{
    for (int i = 0; i < count; i++)
    {
        Program.<>c__DisplayClass1 class1 = new Program.<>c__DisplayClass1();
        class1.j = i;
        Program.funcArr[i] = new Func(class1.<fillFunc>b__0);
    }
}