![]() ![]() This is why we need mathematical models for algorithms. As a result, theyĬap-ture, as a rule, only some features of informal notions, but are suitable for theoretical InĬontrast, mathematical models are precise, rigid, and formal. Consequently, it is insufficient for exact studies. We see that an informal notion of algorithms is comparatively In the previous Section 2.1, we have considered algorithms informally, deriving Section 2.3) as a model for algorithms andĬomputation, the alphabet has the formand the rules of functioning are Possible to provide some relevant input and begin computation.įor instance, in a Turing machine (cf. Only after such specification is given, it is ![]() At the same time, a mathematical model needs some further The main difference is that given some relevant input an algorithm determines aĬomputational process. That is why we give hereĪn explanation of relations between algorithms and their mathematical models. Profes-sionals in computer technology consider computer science. Models, resulting in misunderstanding and misconceptions, especially, when However, many do not make a distinction between algorithms and their mathematical In their aggregateĪnd latitude, models of algorithms constitute a whole world of ideas and techniques. “algorith-mic universe” from a general perspective of the whole picture. With a diversity of such models, we need to understand this We begin this section with an informal overview of formal mathematical models ofĪlgorithms. Of course the first thingto do was tomake agrand survey of the country she wasgoingto travel through.
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