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

You are not logged in.

- Topics: Active | Unanswered

**BINNOY****Member**- Registered: 2013-06-20
- Posts: 1

I recently discovered the true purpose of complex numbers.

They were in a way used to describe rotation or inclination.

i = inclination by 90 degree

i * i = inclination by 180 degrees = -1

i * i * i = inclination by 270 degree = -i

i * i * i * i = inclination by 360 degree = 1

So now lets consider a number like 3 + 4i.

3 is the horizontal component of the number(real part)

4 is the vertical component of the number.(imaginary part)

Hope this would be helpful to someone who stumbles upon.

BINNOY

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,908

Hi BINNOY;

Welcome to the forum.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

**phanthanhtom****Member**- Registered: 2012-06-22
- Posts: 290

Hi.

What is the relation(s) between rotation and components in your post?

Offline

**{7/3}****Member**- Registered: 2013-02-11
- Posts: 210

Hi,binnoy

welcome to the forum

i disagree,this could be one of the purposes but not true one.

There are 10 kinds of people in the world,people who understand binary and people who don't.

Offline

**barbie19022002****Member**- Registered: 2013-05-24
- Posts: 1,314

Hi Binnoy....welcome to this forum....

Jake is Alice's father, Jake is the ________ of Alice's father?

Why is T called island letter?

think, think, think and don't get up with a solution...

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,525

hi BINNOY

Welcome to the forum.

Check out

http://en.wikipedia.org/wiki/Complex_nu … plications

http://www.regentsprep.org/Regents/math … esouce.htm

If you google 'uses of complex numbers' you get a long list.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,908

Here is a nice use of complex numbers.

Georgia University wrote:

A young man was going through the attic of his grandfather's house and found a paper describing the location of a buried treasure on an particular Island. The note said that on the island one would find a gallows, an oak tree, and a pine tree. To locate the treasure one would begin at the gallows, walk to the pine tree, turn right 90 degrees and walk the same number of paces away from the pine tree. A spike was to be driven at that point. Then return to the gallows, walk to the oak tree and turn left 90 degrees and walk the same number of paces away from the oak tree. Drive a second spike in the ground. The midpoint of a string drawn between the two spikes would locate the treasure.

The young man and his friends mounted an expedition to the island but found the oak tree and the pine tree but no gallows. It had eliminated years ago without a trace. They returned home with the map below and no treasure.

Show them where to look for the treasure.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline