# A course of applied functional analysis by Arthur Wouk PDF

By Arthur Wouk

ISBN-10: 0471962384

ISBN-13: 9780471962380

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Extra info for A course of applied functional analysis

Example text

Indeed, we will conclude that, because fixedlength records are so advantageous, if a file holds variable-length records, then we will construct a secondary index file with fixed length entries to allow us to manage the original file in an efficient manner. File Management 17 Storage Compaction. One very simple deletion strategy is to delete a record, then— either immediately or in the future—compact the file to reclaim the space used by the record. This highlights the need to recognize which records in a file have been deleted.

Reevaluating a winning path requires O lg n time, since the height of the tournament tree is lg n. Promoting all n values therefore requires O n lg n time. The main drawback of tournament sort is that it needs about 2n space to sort a collection of size n. Heapsort can sort in place in the original array. To begin, we define a heap as an array A[1 . . 1) To sort in place, heapsort splits A into two parts: a heap at the front of A, and a partially sorted list at the end of A. As elements are promoted to the front of the heap, they are swapped with the element at the end of the heap.

Even in this situation, however, compacting can be very expensive. , a credit card database) may never encounter a “convenient” opportunity to compact themselves. 2 Fixed-Length Deletion Another strategy is to dynamically reclaim space when we add new records to a file. To do this, we need ways to • mark a record as being deleted, and • rapidly find space previously used by deleted records, so that this space can be reallocated to new records added to the file. As with storage compaction, something as simple as a special marker can be used to tag a record as deleted.