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Remainders and Euclidean Division

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Explanations 1

When we have two natural numbers aaa and bbb with a>ba>ba>b, we ask the question, "How much larger is aaa than bbb?" First, some definitions: Given integers a,ba,ba,b, we say th…
By Jason Chen

Problems 1

What is the smallest possible value of ∣(2+3i)−(a+bi)(1+i)∣|(2+3i) - (a+bi)(1+i)|∣(2+3i)−(a+bi)(1+i)∣ for integers a,ba,ba,b?