Mathematical concept- Mathematics Assessment Help

Assessment Task:

Mathematical concept- Mathematics Assessment-  Report Writing

• Question- Explain the relationship between congruences and the Euclidean algorithm for ?nding the greatest common divisor of m and n. Illustrate with an example. Ensure that you provide an explanation of congruences and their properties.

• Question - Explain the relationship between the notion of induction in mathematics and the notion of recursion in computer science/programming. Illustrate with an example.
• Question - Explain the di?erent properties (re?exive, symmetric, antisymmetric, transitive) of relations using examples. Each example, should have a di?erent set of properties. Explain why each of the properties may or may not be desirable.
• Question - Identify and describe a real-world application of counting. Try to pick an application from your ?eld of study. Make sure you include enough mathematical background to explain the connection. 
• Question - Identify and describe a real-world application of graph theory. Try to pick an application from your ?eld of study. Make sure you include enough mathematical background to explain the connection.

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