Titlebook: Imaginary Mathematics for Computer Science; John Vince Textbook 2018 Springer International Publishing AG, part of Springer Nature 2018 Im

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Combining Waves Using Complex Numbers,m, electricity or gravity. When waves are combined, they cancel and reinforce one another; and as waves possess velocity, wavelength, frequency, amplitude and phase, computing the resultant waveform can be difficult using conventional trigonometric functions. Fortunately, complex numbers greatly sim

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Complex Numbers and the Riemann Hypothesis,n spite of this simple definition, it has been impossible to find a formula that predicts primes, or even count the exact number of primes up to some limit. Many mathematicians have taken up the challenge, but all have failed. Nevertheless, their endeavours have been astounding and created some incr

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The Mandelbrot Set, digital computer. I remember discovering the set in the mid-1980s, and tried running the program on my BBC micro. It took forever, and was not worth the wait. Today, things are completely different, and many beautiful images are possible in a fraction of a second.

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how to assess the quality of those sequences. Itsimportance has to do with designing complex electronic systems usingpre-designed intellectual property (IP) cores, which is becomingincreasingly popular nowadays. Since tests for pre-designed cores canbe supplied with the cores themselves, the only a

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John Vincesess the quality of those sequences. Itsimportance has to do with designing complex electronic systems usingpre-designed intellectual property (IP) cores, which is becomingincreasingly popular nowadays. Since tests for pre-designed cores canbe supplied with the cores themselves, the only additional