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Abstract Nature of Algorithms. It is important to emphasize the difference between the algorithm and its representation — the difference is like that between a story and a book. A story is a thought, or a thought, naturally; book a physical representation of the subject. When a book is translated into another language or reprinted in another language. VU MIDTERM PAST PAPERS SOLVED BY MOAAZ
In the format, the representation of the story simply changes — the story itself remains the same.
In the same way, the algorithm is intangible and different in its representation. One algorithm can be
represented in many ways. VU MIDTERM PAST PAPERS SOLVED BY MOAAZ
For example, an algorithm for converting temperature readings from Celsius to Fahrenheit is traditionally represented as an algebraic formula F = (9/5) C + 32. But it was not represented by instructions Multiply the temperature by Celsius by 9⁄5 then add 32 to the product or even in the form of an electronic circuit. In each case the basic algorithm is the same; only presentations vary. VU MIDTERM PAST PAPERS SOLVED BY MOAAZ
The difference between the algorithm and its representation presents a problem when we try to communicate
algorithms. A common example involves the level of detail at which an algorithm should be defined.
Among astronomers, the command “Turn the reading of Celsius into Fahrenheit” is sufficient,
but an unfamiliar person, who needs a more detailed explanation, may argue that the order is unclear. I
The problem, however, is not with the basic algorithm but with the fact that the algorithm does not adequately represent the details of an unfamiliar person. VU MIDTERM PAST PAPERS SOLVED BY MOAAZ
In the next section, we will see how the concept of primitives can be applied to remove such ambiguity issues in algorithm representation. Finally, while on the subject of algorithms and their presentation, we should clarify the differences among two other related concepts — systems and processes. The program is an image of
the algorithm. (Here we use the word algorithm in its random sense because most systems are like that
Introduction non-termination “algorithms.”) VU MIDTERM PAST PAPERS SOLVED BY MOAAZ
In fact, within the computer community the name The program usually refers to the official representation of an algorithm designed for computer use. We describe the process that is already in the process of making a plan. Note, however, that to do a The system is to use an algorithm represented by the system so that the process is described evenly as an algorithm creation function. We conclude that systems, algorithms, and processes are different,
yet related, organizations. The program is an image algorithm, while the process is a function of performing an algorithm. VU MIDTERM PAST PAPERS SOLVED BY MOAAZ
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The representation of an algorithm requires some form of language. In the case of humans, this might be a
traditional natural language (English, Spanish, Russian, Japanese) or perhaps the language of pictures, which describes an algorithm for folding a bird from a square piece of paper.
Often, however, such natural channels of communication lead to misunderstandings, sometimes because
the terminology used has more than one meaning. (The sentence, “Visiting grandchildren can be nerve-racking,” could mean either that the grandchildren cause problems when they come to visit or that going to
see them is problematic.)
Problems also arise over misunderstandings regarding the level of detail required. Few readers could successfully fold a bird from the directions given yet a student of origami would probably have little difficulty. In short, communication problems arise when the language used for an algorithm’s representation is not precisely defined or when information is not given in adequate detail.
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