Alert icon
We're changing our privacy policy. This stuff matters.  Learn more  Dismiss

i and Imaginary numbers

Loading...

Sign in or sign up now!
107,168
Loading...
Alert icon
Sign in or sign up now!
Alert icon
There is no Interactive Transcript.

Uploaded by on Jan 28, 2007

Introduction to i. Raising i to arbitrary exponents.

Category:

Education

Tags:

Download this video

LICENSE: Creative Commons (Attribution-Noncommercial-No Derivative Works).

For more information about this license, please read: http://creativecommons.org/licenses/by-nc-nd/3.0/.

High-quality MP4 Learn more

  • likes, 9 dislikes

Link to this comment:

Share to:

Top Comments

  • I left my mouse on the screen and thought the dude in the vid had two mice. tripped me out

  • A number times the same number is a negative. WE MUST GO DEEPER.

see all

All Comments (243)

Sign In or Sign Up now to post a comment!
  • thank you i finally understand the trick behind imaginary numbers!!!!!! :D

  • This was very helpful in remembering what my intermediate algebra teacher had taught. I just needed that refresher...this was it! Thank you!!

  • im here exactly for the deeper meaning of i ,not to see what i and the rest of the masses have been taught to do with i, damn it .where can i find the reason for the inception of this weird idea

  • @waynemv I didn't really express it right above. But, the situation is that i and -i appear to share all the same properties, they are like identical twins. The only distinction between them seems to be that they are not each other - in every other respect they seem interchangeable! (As long as one is consistent and interchanges them everywhere they occur within a problem.)

  • i^2 = -1, leads to an ambiguity that's often glossed over. That equation has two solutions, as also (-i)^2 = -1. One might ask: Are i and -i the same or different numbers? Do you have students take for granted these are different numbers, or do you actually prove so? Given that -0 = 0, it's not obvious that -i can't be equal to i. Also, any polynomial with all real coefficients that has i for a root also has -i for a root. Is that a mere coincidence? So what's the distinction between i and -i?

  • anyway thanks a lot teacher

  • Hard!

  • @kyranhymas

    You distinguish it simply by ignoring that it can be divided by 2.

    It's all based off of multiples of 4. (if it isn't divisible by 4 like "26" then that's where the 4 + comes in. i^26 = -1

    Ignore the 2!

  • @MattyHild lol fuck you if it numbs ur mind dont read them dumbass. i bet you can't even learn complex numbers

  • @123waybad

    Amazing.. Keep the mind-numbing arguments to cat videos, please.

View all Comments »
Loading...

0 / 00Unsaved Playlist Return to active list
    1. Your queue is empty. Add videos to your queue using this button:
      or sign in to load a different list.
    Loading...Loading...Saving...
    • Clear all videos from this list
    • Learn more