Recent content by rapid1

Yeh, I thought that would be the case, thanks for confirming. What about part b however, a finite basis? Also with the second question where \(f(X,Y)=-f(Y,X)\) I'm honestly struggling to think of any polynomials, other than \(0\), that fit because the minus makes it more tricky.

Hi There, I posted this question over at MHF to no avail, I'm not really sure what the ruling is on this kind of thing, I know this site was setup when MHF was down for a long time but you seem to still be active and a lot of clever people are still here so hopefully you don't mind taking a...

And it's as simple as that :p Thanks very much!

Basically i have this code, obviously the fraction is in display maths, but i want BIG products too, with sub/super scripts above and below rather than next to it. Thanks $$ pr(X=k)=\mu\frac{\prod^{k-1}_{i=1}\{1-\mu+(i-1)\theta\}}{\prod^{k}_{i=1}\{1+(i-1)\theta\}}, \quad \mbox{for k$\geq$ 1,} $$

\; is just a space in math environment, in decreasing order of space you have \; \: \,

Ok try this, \begin{align*} f:\; a&\mapsto b &h:\; e&\mapsto f\\ b&\mapsto d &g&\mapsto h\\ \end{align*}

Do you have any way of drawing what you want on paper and then uploading the picture for us? Or even drawing it in Paint.

\usepackage{amsmath} for the \begin{align} environment.

side by side could be done using the display math environment to get it centered and \quad command to get it in `columns' $$ f(x) = x \quad g(x) = x^{2} $$ or use \qquad for an even bigger gap.

Hi there, I have the following bit of latex \begin{align*} [a,\; b] & = \{x;\; a\leq x\leq b\}\\ (a,\; b) & = \{x;\; a < x < b\}\\ \mathrm{[}a,\; b) & = \{x;\; a\leq x < b\}\\ (a,\; b\mathrm{]} & = \{x;\; a < x \leq b\}\\ \end{align*} However it is centered. Is there a left equivalent of...

\usepackage{times} worked perfectly, thanks Ackbach!

It's the default. But even in the math environment "\left[" would look broken up. I'm not sure if i am allowed to use a different font, unless there are different 'better' fonts that look the same? But like i say, when i print the PDFs they come out looking exactly as they should.

Kind of a non-issue but still bugging me. Basically, whenever I create a LaTeX file certain things will look a bit naff in PDF viewers, such as matrices will appear with the large square brackets broken in the middle, also text can appear bold when it isn't, dashes look odd etc. However, when i...