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In a similar vein to my previous question, is it possible to define a function that displays differently to its default? eg I would really like Binomial[a,b] to be displayed as $a \choose b$, but still function as normal during calculation. I tried binom[a_, b_] := Binomial[a, b]//MatrixForm but that didn't work.

eg If I enter binom[a,b], I would like it to display as MatrixForm[{a,b}], but when I type in With[{a=10,b=5},binom[a,b]] I would like the output 252.

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    $\begingroup$ Interpretation[ ]? $\endgroup$ – Dr. belisarius Jun 19 '15 at 12:58
  • $\begingroup$ Are you aware of TraditionalForm? $\endgroup$ – Yves Klett Jun 19 '15 at 12:58
  • $\begingroup$ @YvesKlett yes, but it doesn't evaluate the same, does it? $\endgroup$ – martin Jun 19 '15 at 12:58
  • $\begingroup$ not foolprof, no, and just like MatrixForm an eternal source of confusion. $\endgroup$ – Yves Klett Jun 19 '15 at 12:59
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    $\begingroup$ Check this tutorial. $\endgroup$ – Karsten 7. Jun 19 '15 at 13:06
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Format[binom[a_, b_]] := TraditionalForm@Binomial[a, b]

Now

binom[a, b]

$a \choose b$

and 

With[{a = 10, b = 5}, binom[a, b]]

252
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  • $\begingroup$ perfect - thank you! $\endgroup$ – martin Jun 19 '15 at 13:20

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