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class IndexValueDescending { public: bool operator()(const IndexValue& a, const IndexValue& b) const { return a.second > b.second; } }; // // // // // // // // // //

Caution! In setting up further problems by starting from the result, which is quite easy, one should check how complicated the solution, starting from (2), will be; this may often involve substantial work until one reaches the final form. 14. By (2), w 1 4i z ; w 1 z 2i 2i hence, after getting rid of infinity, w 1 2z z 2i , w 2z z 2i 1 z z 2i . 2i

focus on the usability of the site, including such topics as navigation, ease of purchase (if a shopping component exists on your site), and so on. The statistical sampling of respondents is not quite as accurate as a focus group might be, but this is offset somewhat by a larger sample size, which will at least reveal common problems. If a large majority of survey respondents tell you the navigation on your site is troublesome, it probably is. Perform server log analysis. You can examine your Web site s server requests made by real users to a Web site to review server performance and which pages visitors visit. A number of software programs make reviewing your Web server logs easy and productive. These analysis tools help analyze basic performance such as document requests and the routes people take to get to your site, but they can t make any real quantitative or qualitative analyses on user motivation and experience or your Web site s usability. Employ data-driven site analysis. You can spend some extra money and perform data-driven site analysis that reviews events from users as they occur. These events are more detailed than simple Web server logs and include such things as how a user works with forms on your site which selections they make from form selection boxes, how many characters are used to ll out a form text eld, and so on. This can improve the usability of your site s Web forms and enable you to perform what is known as hill climbing, which is a technique that lets you make incremental improvements to your Web site based on user input over a period of time.

There are cases where we have to carefully consider the way we use particular tables before deciding on the level of normalization appropriate to our application. There are essentially two theoretical models online transactional processing (OLTP) and online analytical processing (OLAP). OLTP databases tend to have a more balanced relation between read and write operations and are typically more normalized. In OLAP databases, read operations are much more frequent and critical than write operations and hence these databases tend to be less normalized. While normalized data encourages good design, the key challenge with normalized schemas is the need for JOIN operations in data retrieval. Joins with large tables or on non-indexed columns may pose signi cant performance challenges. Further, we often need to maintain derived data in a database. It is in these cases that a level of denormalization can be tolerated in order to complete particular operations quickly (Sanders and Shin 2001). There are some ground rules for dealing with denormalized and derived data in a database. First, it is important to start with a normalized schema, at least to 3NF level (see Section 3.4). Only if the normalized schema does not ful ll our requirements should we look at some level of denormalization. We must always maintain consistency of any duplicated and derived data and do this before any data presentation. A good approach would be to keep the logical design normalized and store additional redundant information in separate tables that can be maintained with triggers.