alarmingly large glaceon girl 🍓
monorail@glaceon.social
i understand the series of good decisions that led to multiplication by a positive imaginary number being a counterclockwise rotation but i still hate it
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alarmingly large glaceon girl 🍓
monorail@glaceon.social
@wallhackio what, do you like "positive" rotation going backwards
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@monorail the real question is why the Y axis goes upwards since we read things from top to bottom
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alarmingly large glaceon girl 🍓
monorail@glaceon.social@steffo sure but do we want big numbers to be dips?
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the agaric system
shroomieShow content
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@shroomie @monorail With real numbers, you can't have a square root of -1 (because multiplying two numbers with the same sign always gives a positive number)
For imaginary numbers, you just posit that there is a square root of -1, and it's called i (some applications call it j instead)
So i * i = -1. Now if you want a square root of e.g. -25, that's 5i. Every number in the set of imaginary numbers has a real part and imaginary part, for example i is just 0 + 1i, but it's also possible to have imaginary numbers that have a real and an imaginary part, for example 3 + 5i.
If you've ever seen the real numbers represented visually on a line, like this:[to -Infinity] <- -3 2 1 0 1 2 3 -> [to +Infinity]
then you can imagine the imaginary numbers extending that by a 2nd axis!
There are some cool applications of this stuff, but I am too bad at maths to remember any of them, maybe Holly Glaceon can explain better...
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coral castle
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