Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2008-06-01 10:34:25

aleclarsen12
Member
Registered: 2008-06-01
Posts: 36

Every math lover's dream...

I was sitting and thinking (I seen to do that alot. lol) and I had this intresting revalation:

Being in the 7th grade we concide the square root of a negative "undefiend".
Well, I dawned on me that you could just do this: sqrt(-16)=-16^1/2*sqrt(-1)

My math teacher informed me this already existed and they were called imaginary numbers. (I was crushed)

A few days later I was thinking (see what I mean) and I had another revalation. The square root of a imaganary number could be expressed as the 4th root of -1. So I wrote this formula:

A stands for alternate number line. Where N is the number line. Ex N=0 (Real Numbers) N=1 (Imaginary) N=2 (Imaginary root?) ect.

Has this already been invented? (Just crush me now)

IF NOT I HAVE FUFILED MY DREAM!!!! TO ONE WRITE MY OWN USEFUL FORMULA!! (No matter how obvious it is)

View Image: formula.gif

Twitter: http://twitter.com/AlecBeta
Blog: http://AlecBeta.us.to

Offline

#2 2008-06-01 10:45:21

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: Every math lover's dream...

Sorry sad

Roots of unity

Reinventing the wheel isn't a bad thing at all.  Just kind in mind that hundreds of people have dedicated their lives to mathematics, there is a whole lot we know, but even more we don't.

The square root of -1 is a fourth root of unity, the fourth root of -1 is an eight root of unity.  However, the complex numbers are algebraically closed.  This means that (among other things), when ever you take a root of an imaginary number, you stay within the complex numbers.  For example, an eight root of unity:

What this means is that:

But that doesn't hold for any power less than 8 and above 0.  But also:


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

Offline

#3 2008-06-01 13:11:31

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,696

Re: Every math lover's dream...

Hi Alec, it seems like you have a very good mind! Great thinking for someone in 7th. Keep it up.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#4 2008-06-18 13:31:43

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: Every math lover's dream...

That's 2^n root is a nice idea because although I once knew that square rooting 4 times in a row, is the same as the 16th root, I started to forget that fact.  The only use I know of is taking the 12th root of 2 to find the ratio of frequencies in the chromatic scale, the adjacent notes.  Thanks for that reminder!!


igloo myrtilles fourmis

Offline

#5 2019-12-23 15:41:25

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: Every math lover's dream...

aleclarsen12 wrote:

I was sitting and thinking (I seen to do that alot. lol) and I had this intresting revalation:

Being in the 7th grade we concide the square root of a negative "undefiend".
Well, I dawned on me that you could just do this: sqrt(-16)=-16^1/2*sqrt(-1)

My math teacher informed me this already existed and they were called imaginary numbers. (I was crushed)

I know how you feel. Back then when I was a 7th grader myself, I realized that if you multiply two numbers whose difference is 2, the result will be the square of the middle number subtracted by 1. When I entered a math major in college I tried to write it down, only to find out that it was (a + 1)(a - 1) = a^2 - 1, an equation already well-known even before I was a 7th grader.


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Offline

Board footer

Powered by FluxBB