Which notation style is better; A or B? (Justify your response, or provide an alternative; C)

Question

unklerhaukus · Answer

A vector function $f(x)$, where $x$ is the vector $\begin{pmatrix}\chi_0\\chi_1\\chi_2\end{pmatrix}$

A:$$f(\begin{pmatrix}\chi_0\\chi_1\\chi_2\end{pmatrix})$$
B:$$f\left(\begin{pmatrix}\chi_0\\chi_1\\chi_2\end{pmatrix}\right)$$

kmeis002 · Answer

You could always just define your vector above as $ \mathbf{x} = \left ( \begin{array}{c c c} x_0 \ x_1 \x_2 \end{array} \right ) $ and then use it accordingly throughout the work:


$f(\mathbf{x})$, etc

unklerhaukus · Answer

This question is about writing the function of components explicitly.

kmeis002 · Answer

I see, we could always use indices for  something like:
$$f(\mathbf{x}) = x_0+x_1+x_2 + ...+x_n $$

unklerhaukus · Answer

Perhaps by example isn't clear enough;

A:
A vector function $f\left(\begin{pmatrix}\chi_0\\chi_1\\chi_2\end{pmatrix}\right)=\begin{pmatrix}\chi_0+\chi_1\\chi_2\end{pmatrix}$

B:
A vector function $f(\begin{pmatrix}\chi_0\\chi_1\\chi_2\end{pmatrix})=\begin{pmatrix}\chi_0+\chi_1\\chi_2\end{pmatrix}$

kmeis002 · Answer

I see, I prefer A quite a bit

unklerhaukus · Answer

Justify...

kmeis002 · Answer

No reason other then aesthetic preference. The small than large ( just really irks me

unklerhaukus · Answer

I think the small parenthesis look bad too,
but i also think the doubled parenthesis looks bad

unklerhaukus · Answer

I suppose that

C1:
$$f\begin{pmatrix}\chi_0\\chi_1\\chi_2\end{pmatrix}=\begin{pmatrix}\chi_0+\chi_1\\chi_2\end{pmatrix}$$

is another option, 
but it could be confused with multiplying a scalar the vector.

kmeis002 · Answer

If you are working in the same space, I think you could still swing:
$$f(\mathbf{x}) = \left ( \begin{array}{c} x_0 + x_1 \ x_2 \end{array} \right ) $$
But if you have different input vectors for each function, it could get annoying.

unklerhaukus · Answer

I am trying to make some think like this
look better

hartnn · Answer

$f\left[\begin{pmatrix}\chi_0\\chi_1\\chi_2\end{pmatrix}\right]$
hmm...

unklerhaukus · Answer

Thanks @hartnn! ill use that (but the the other way around)

hartnn · Answer

looks like a vector matrix....ohh it is a vector! :3

jaynator495 · Answer

to think not to long ago you didnt know hwo to latex much... or was that another mod... xD

unklerhaukus · Answer

I didn't know of $\TeX$ before i found OpenStudy, but that was years and years ago now

jaynator495 · Answer

i meant hartnn... for whatever reason you abandoned my team... i had to write the tutorial myself instead of giving credits to all those who helped that i so badly wanted to do... but oh well now...