http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/ Learn Right, Not Rote. Wed, 16 May 2012 12:30:32 +0000 hourly 1 http://wordpress.org/?v= http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-75736 Pandaroux Sat, 05 May 2012 23:38:00 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-75736 Love the article; it made things so much clearer. The thing about turning 1 to -1 intrigued me, even though the concept seems so simple.... Are you saying that all multiplication sort of starts with 1? Likewise, does all arithmetic start with 0? I wouldn't have thought this idea was all that important before reading this article, but now it does seem like it has some significance; the concept of getting from 1 to -1 wouldn't make sense if 1 was not a starting point. This is because 1 is the multiplicative identity (if that's the right term...), right? Love the article; it made things so much clearer. The thing about turning 1 to -1 intrigued me, even though the concept seems so simple…. Are you saying that all multiplication sort of starts with 1? Likewise, does all arithmetic start with 0? I wouldn’t have thought this idea was all that important before reading this article, but now it does seem like it has some significance; the concept of getting from 1 to -1 wouldn’t make sense if 1 was not a starting point. This is because 1 is the multiplicative identity (if that’s the right term…), right?

]]> http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-72774 kalid Wed, 25 Apr 2012 22:48:09 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-72774 @Dave: No worries, this is a tough concept :). "1 + i" is 45 degrees the same way "1 Mile East + 1 Mile North" is 45 degrees -- you've moving the same amount in each direction, so are "diagonal" from your starting point. Hope this helps! @Dave: No worries, this is a tough concept . “1 + i” is 45 degrees the same way “1 Mile East + 1 Mile North” is 45 degrees — you’ve moving the same amount in each direction, so are “diagonal” from your starting point. Hope this helps!

]]> http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-72771 dave Wed, 25 Apr 2012 22:36:10 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-72771 I must be Thick! or have petrified thinking ( I'm 65) . If i can be any angle . How can i +1 be an angle of 45 degrees. Please don't groan!! I know I'm missing the concept especially since Ethan notes that its obvious.. I must be Thick! or have petrified thinking ( I’m 65) . If i can be any angle .
How can i +1 be an angle of 45 degrees. Please don’t groan!! I know I’m missing the concept especially since Ethan notes that its obvious..

]]> http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-72600 Learning To Learn: Embrace Analogies | BetterExplained Wed, 25 Apr 2012 04:57:46 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-72600 [...] an example: I can casually describe i (the imaginary number) as the square root of -1 and you can blindly accept [...] [...] an example: I can casually describe i (the imaginary number) as the square root of -1 and you can blindly accept [...]

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