... of such effects to be sure the results of analysis are useful. On the other hand, in some cases, analysis of an algo-rithm can help identify ways for it to take full advantage of the programmingenvironment.Occasionally, ... accurate to within O N−3or indeed to within O N−kforany constant k. Such approximations, called asymptotic expansions, are at the heart of the analysis of algorithms, and are the subject of Chapter ... step in an ongoing process of developing a more rened, more accurate analysis; we prefer to use the term analysis of algorithms to refer to the whole process, with the goal of providinganswers...