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Consic and b whose divisic demor exist r

Consic and b whose divisic demor exist r

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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16 Consider the set of complex numbers of the form a + bơ, where a and b are integers and o = V-2. Draw a grid of parallelograms whose grid-points consist of these numbers. Demonstrate that division with remainder is possible in this context; in other words, demonstrate that if x,y are such numbers, with y # 0, then there exist numbers q,r such that x = qy + r, and |r| < \y\.
Transcribed Image Text:16 Consider the set of complex numbers of the form a + bơ, where a and b are integers and o = V-2. Draw a grid of parallelograms whose grid-points consist of these numbers. Demonstrate that division with remainder is possible in this context; in other words, demonstrate that if x,y are such numbers, with y # 0, then there exist numbers q,r such that x = qy + r, and |r| < \y\.
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