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More Selected Solutions 7A-B Multiplication by a complex number is
More Selected Solutions 7A-B Multiplication by a complex number is

... Multiplication by w is an isometry if the distance between wz1 and wz2 is equal to the distance between z1 and z2 for any complex numbers z1 and z2 . |wz1 − wz2 | = |w(z1 − z2 )| = |w| |z1 − z2 |, so this equals |z1 − z2 | if and only if |w| = 1, or in other words a2 + b2 = 1. Note this is also the ...
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Multiplication algorithm

A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are in use. Efficient multiplication algorithms have existed since the advent of the decimal system.
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