So, I have an exam tomorrow

[Nixy]

and guess what I just spent an hour doing!!!!!

Shower, facial, painting toe and finger nails.

Now THAT'S what I call procrastinating!!!!

 

[ipmoof]

Well you're definitely back on track now that you've started posting at OTC.

 

[Nixy]

only if you guys can teach me about n-space

 

[Altron]

Yeah Nixy!
Fight the machines!

 

[Nixy]

I learn and post at the same itme

 

[Jeslek]

only if you guys can teach me about n-space

For polynomials p(t) and q(t), which are part of P, define

(p(t), q(t)) = the integral from 0 to 1 of p(t)q(t) with respect to t.

This is an inner product on P. For which values of a, b, elements in R, are p(t) = 3t + 1 and q(t) = at + b orthogonal?

 

[Nixy]

I have functions is algebra

 

[Jeslek]

That is algebra... Inner product spaces.

 

[Jeslek]

OK what about this then...

Let A =

[ 1 2 1 ]
[ 0 1 3 ]


Find matrix B such that AB = I sub 2 (a two by two identity matrix)

 

[Nixy]

I meant I HATE functions in algebra

 

[ipmoof]

I have absolutely no idea what n-space is and I have done ALOT of maths. Maybe it's a US thing.

 

[Jeslek]

Nullity, basis for a null space, basis, inner product spaces, dot product, ugggh.... I this shit.

 

[ipmoof]

Euclidean space?

 

[Nixy]

n-space being any dimension

 

[Jeslek]

I have absolutely no idea what n-space is and I have done ALOT of maths. Maybe it's a US thing.

2-space, 3-space, 4-space, ...? You know, two dimensions, three dimensions, etc.

x = 4 is one dimension... x + y = 5 is two dimensions, x + y + z = 3 dimensions, or 3-space.

n-space is then a function p(t) = at^n + bt^(n-1) + ... + yt + z = 0

You can find bases and all that crap for any given n-space. n-1 space is always a subspace of a given n-space.

 

[ipmoof]

Ahh... ok, I see. So it's just real, vector-based geometry shit, right? FUN.

I love stuff that sounds more complicated than it is.

 

[Jeslek]

Euclidean space?

No, Euclidean space implies the covariant and contravariant quantities are equivalent.

Actually, if a real vector space that has an inner product defined (an inner product space) and if it is finite dimensional, its called an Euclidean space.

 

[ipmoof]

Whoa, you are SAD.

 

[Jeslek]

Oh yes, whats the first thing you learn about Euclidean space? The wonderful Cauchy-Schwarz inequality

If u and v are any two vectors in an inner product space V, then

|(u, v)| <= ||u|| ||v||

I can prove it too... did it last semster.

 

[ipmoof]

Do you tell this stuff to girls?