how to do this?

[cedar nimbus]

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[silver scaffold]

Graph = G for Garbage

[wise tiger]

@sage mauve

[sage mauve]

Dot product 0

[wise tiger]

correct

so <R,R'>=0

what does this tell us

[sage mauve]

<> iska mean?

if you asking me what r.r' then it will be 0

dot product

[wise tiger]

yes

what's R and R'?

A+B and A-B correct?

$(A+B)\cdot(A-B)=\norm{A}^2-\norm{B}^2$

[silver scaffold]

Graph = G for Garbage

[wise tiger]

can you verify this?

[sage mauve]

@wise tiger

A=B

1:1

B

[wise tiger]

no

llAll=llBll

[sage mauve]

Yeah so??@wise tiger

[sage mauve]

A=B or A=-B

[sage mauve]

Bro

[wise tiger]

why

[sage mauve]

Mod sign

[wise tiger]

${\mathbf{x}\in\bR^d:\norm{\mathbf{x}}_2=1}$

[silver scaffold]

Graph = G for Garbage

[sage mauve]

Bro you are making it more complicated to read

[wise tiger]

the 1-sphere

[wise tiger]

look at a circle

[sage mauve]

Yeah so?

[wise tiger]

$f(\theta)=\left(\cos\theta,\sin\theta\right)$

[silver scaffold]

Graph = G for Garbage

[wise tiger]

$\forall\theta\in\bR,\norm{f(\theta)}_2=1$

[silver scaffold]

Graph = G for Garbage

[wise tiger]

you get what i mean?

[sage mauve]

So??

What it mean here?

[wise tiger]

$\norm{\mathbf{x}}=\norm{\mathbf{y}}$ doesn't imply $\mathbf{x}=\pm\mathbf{y}$ here

[silver scaffold]

Graph = G for Garbage

[wise tiger]

they are vectors but the vectorspace is not mentioned

[sage mauve]

|x|=|y|

Represents lines

[wise tiger]

x and y are vectors here

not real numbers

[wise tiger]

this might work in $\bR$

[silver scaffold]

Graph = G for Garbage

[wise tiger]

but not in $\bR^d$ for $d>1$

[silver scaffold]

Graph = G for Garbage

[wise tiger]

take for example the radius vectors of a circle

[sage mauve]

Can you tell me what i have to do with this next ... I'm not understanding the sphere theory here sorry

+close