Comments on: A Visual, Intuitive Guide to Imaginary Numbers https://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/ Math lessons that click Sun, 18 Dec 2022 22:40:50 +0000 hourly 1 By: آشنایی با اعداد مختلط به صورت شهودی و تصویری – متباکس https://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-391251 Sun, 03 Jan 2021 07:00:01 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-391251 […] منبع: http://www.betterexplained.com […]

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By: jonathankhristhopher https://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-362404 Mon, 31 Dec 2018 05:47:00 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-362404 In reply to kalid.

kalid I do not agree

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By: kalid https://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-361051 Sat, 22 Dec 2018 05:57:00 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-361051 In reply to ShunYat Cheung.

Great question. What’s funny about negatives is they were invented/discovered in the 1700s, confused people, and then finally made sense with analogies like debt. But for many decades they were considered “evil” (if positive is good, what’s negative?).

Philosophically, the ability for numbers to have multiple dimensions is an option available to us — we need to find good ways to use it. (Like having a car that can drive backwards… if you never use it, that’s fine, but the ability is there!)

One modern application is tracking things in multiple dimensions. Many computer graphics engines use advanced complex numbers (called quaternions) to keep track of rotations. In physics and engineering, complex numbers are used to keep track of several variables at once in a circuit.

The better we understand complex numbers, the more uses we come up for them.

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By: kalid https://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-361048 Sat, 22 Dec 2018 05:46:00 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-361048 Hi Daniel, if a single rotation is a single multiplication, two rotations would be two multiplications. (2x is a scaling, enlarging by 2, followed by a rotation of x.)

You can try this yourself: If you are 1 mile East, where should you be after a single rotation? Two rotations? Should your distance from the center change?

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