Complex Numbers - For those who do degree maths

[Killa_ken]

can someone please explain to me why if i simplify (-i)^7 i should get i

thank you!

 

[Psyk]

(-i) * (-i) = -1 -> (i^2)

-1 * -i = i -> (i^3)

i * -i = 1 -> (i^4)

1 * -i = -i -> (i^5)

-i * -i = -1 -> (i^6)

-1 * -i = i -> (i^7)

 

[fatiain]

Eh? I'm sure he said simplify it!

 

[Raikiri]

He put why:

-1 * -i = i therefore i = i -> (1^7)

Not that I have ever done this maths... just my understanding*


*disclaimer

 

[Psyk]

Eh? I'm sure he said simplify it!

lol all you need to know really is that i is the square root of -1. The rest can be worked out from basic rules.

ps. you don't need to be doing a maths degree for that, I did that in my basic maths course for computer science. It's covered in further maths a-level I think.

 

[thelonecrouton]

Yeah but how come when I integrate the square root of psi within the Schwartschild radius of a zero-sum muspace Riemann manifold, and apply a reciprocal logarithmic Kapinski transform, even when I multiply the resultant non-orthogonal Cantor wormhole by 2 the bloody DeLorian wont start in the morning? Even if I kick it.

A damn good thrashing with a stout branch, that's what it needs!

 

[Selekt0r]

Yeah but how come when I integrate the square root of psi within the Schwartschild radius of a zero-sum muspace Riemann manifold, and apply a reciprocal logarithmic Kapinski transform, even when I multiply the resultant non-orthogonal Cantor wormhole by 2 the bloody DeLorian wont start in the morning?

Nice one. I was 2/3 of the way through that lot before I realised...

 

[ins0mn1ac]

Nice one. I was 2/3 of the way through that lot before I realised...

haha same here, I see abuse of a dictionary

 

[thelonecrouton]

Bah! Turns out I'd just forgotten to hook up the flux capacitor again! Now let's see what happens when I plug this cable int

 

[jpmonkey69]

Bah! Turns out I'd just forgotten to hook up the flux capacitor again! Now let's see what happens when I plug this cable int

And that's the last anyone saw of thelonecrouton.

Personally, I think he got a little stuck in 1955

 

[Brizzles]

 

[Freeman]

OT, but i've just been mentally sick, how can you even begin to work this out

 

[Locrian]

OT, but i've just been mentally sick, how can you even begin to work this out

Psyk explained it perfectly. i is the Sqrt of -1

 

[Jonny69]

I never quite got a handle on this at university but Psyk just put it in English for me. Enlightenment

 

[NicktheNorse]

degree maths.....?


o-oh, i must have missed something during my four years of Aero engineering

 

[laissez-faire]

Psyk is right and I can't think of any simpler way of putting it... nothing really mind boggling!

Just write it out replacing i with (sqrt(-1)) and put brackets around the pairs then you will soon see how it quickly cancels.

Best book I ever found was Mary Boas - Mathematical Methods.

 

[Luke284]

best maths book is stroud's Engineering Mathematics... well it is for engineers!

 

[Lagmeister]

That was hardly degree level maths, I did it in my Pure Maths A-Level, that was a nice simple example by comparision to some of the stuff lurking about with complex numbers in there.

 

[G-MAN2004]

What's 5x5?

 

[D.P.]

degree maths.....?


o-oh, i must have missed something during my four years of Aero engineering

In scotland covered briefly at higher level if you have a good maths teachers, at 6th yera/Highter Still level as absic syllabus.

Nothing to add beyond that it can be calculated from first principles. Even with basice Standard Grade/GCSE maths you can work it out if you know that i=sqrt(-1)