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Contents of list via indexer apple: Edible fruit book: Collection of printed words car: Means of transport house: Dwelling tractor: Farm implement Contents by integer indexes Edible fruit Collection of printed words Means of transport Dwelling Farm implement Integer indexes of entries apple: 0 book: 1 car: 2 house: 3 tractor: 4

Part II:

We see that there are two ways to treat a definite integral using integration by parts One is to carry the limits of integration along with the parts calculation The other is to do the parts calculation first (with an indefinite integral) and then plug in the limits of integration at the end Either method will lead to the same solution

As most readers know, a stack is a first-in, last-out list To visualize a stack, imagine a stack of plates on a table The first plate put down is the last one to be picked up The stack is one of the most important data structures in computing It is frequently used in system software, compilers, and AI-based backtracking routines, to name just a few examples The collection class that supports a stack is called Stack It implements the ICollection, IEnumerable, and ICloneable interfaces Stack is a dynamic collection that grows as needed to accommodate the elements it must store Stack defines the following constructors: public Stack( ) public Stack(int initialCapacity) public Stack(ICollection col) The first form creates an empty stack The second form creates an empty stack with the initial capacity specified by initialCapacity The third form creates a stack that contains the elements of the collection specified by col and an initial capacity equal to the number of elements In addition to the methods defined by the interfaces that it implements, Stack defines the methods shown in Table 25-7 In general, here is how you use Stack To put an object on the top of the stack, call Push( ) To remove and return the top element, call Pop( ) You can use Peek( ) to return, but not remove, the top object An InvalidOperationException is thrown if you call Pop( ) or Peek( ) when the invoking stack is empty

Method public virtual void Clear( ) public virtual bool Contains(object obj) public virtual object Peek( ) public virtual object Pop( ) public virtual void Push(object obj) public static Stack Synchronized(Stack stack) public virtual object[ ] ToArray( )

Description Sets Count to zero, which effectively clears the stack Returns true if obj is on the invoking stack If obj is not found, false is returned Returns the element on the top of the stack, but does not remove it Returns the element on the top of the stack, removing it in the process Pushes obj onto the stack Returns a synchronized version of the Stack passed in stack Returns an array that contains copies of the elements of the invoking stack

TABLE 25-7

The method of partial fractions is used to integrate rational functions, or quotients of polynomials We shall treat here some of the basic aspects of the technique The first fundamental observation is that there are some elementary rational functions whose integrals we already know

25:

Here is an example that creates a stack, pushes several integers onto it, and then pops them off again:

3 Think about Stuart s use of adverbs, adjectives, and modifying phrases Are they needed Or are they diminishing the impact of his verbs and nouns, and thus should be eliminated 4 If the ideas expressed in the modifying phrases are important, are there more precise words that can substitute for his longer phrases 5 Is parallel construction maintained throughout I looked at these three steps together I had lots of redundancies and misused modi ers Plus, I had parallel construction problems I went phrase by phrase Here s my next version