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PRT580 Discrete Structures Assignment

Question

Answered

Task:

Questions

1. Write these requirements in predicate logic form. If you are working on your own problem, write two requirements for your domain (provide a description of the Data Set for you domain)

2. If the user selects a word in English, they are given a translation into the language they are learning and examples of that word in the form of [image, spelling, use in sentence, audio speech of word]

3. For each question in the worksheet, if the user enters a response, this sentence will be broken in words. The words will be divided into verb, noun, preposition, adjective, adverb and each verb broken into prefix, stem, suffix. The items in these sets will be translated and then mapped back to the question.

4. Consider a mapping where one data set is mapped to another. For instance if each word in English sentence has a mapping to a word or part of word in a sentence in another language. You can choose data in your domain

5. Prove by induction using an expanding dictionary mapping between the languages (or otherwise) that this mapping has an inverse if the mapping is bijective. That is, the translation can be reversed.

6. What happens when the mapping is not bijective. Consider two cases - if not injective and if not surjective.

7. Consider the unique prime factorisation theorem for positive integers.

8. Prove a way to generate the GCD of two numbers from their prime factorization

9. Write the pseudo code with comments to generate the GCD (Greatest Common Divisor) of two numbers, given their prime factorization

PRT580 Discrete Structures Assignment

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CIS 4935 Senior Project in Information Technology

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