From 11c5394107f7501b64b073d1ed8161720a91c2f3 Mon Sep 17 00:00:00 2001 From: Michael Orlitzky Date: Wed, 4 May 2016 09:35:14 -0400 Subject: [PATCH] Omit the exponent "1" from product spaces. --- mjo-common.tex | 25 +++++++++++++++++++++---- 1 file changed, 21 insertions(+), 4 deletions(-) diff --git a/mjo-common.tex b/mjo-common.tex index 88bdc1d..40a7d6c 100644 --- a/mjo-common.tex +++ b/mjo-common.tex @@ -23,14 +23,31 @@ % A pair of things. \providecommand*{\pair}[2]{ \left( {#1}, {#2} \right) } +% +% Product spaces +% +% All of the product spaces (for example, R^n) that follow default to +% an exponent of ``n'', but that exponent can be changed by providing +% it as an optional argument. If the exponent given is ``1'', then it +% will be omitted entirely. +% + % The integral n-space, Z x Z x Z x ... x Z. -\providecommand*{\Zn}[1][n]{ \mathbb{Z}^{{#1}} } +\providecommand*{\Zn}[1][n]{ + \mathbb{Z}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi +} % The rational n-space, Q x Q x Q x ... x Q. -\providecommand*{\Qn}[1][n]{ \mathbb{Q}^{{#1}} } +\providecommand*{\Qn}[1][n]{ + \mathbb{Q}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi +} % The real n-space, R x R x R x ... x R. -\providecommand*{\Rn}[1][n]{ \mathbb{R}^{{#1}} } +\providecommand*{\Rn}[1][n]{ + \mathbb{R}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi +} % The complex n-space, C x C x C x ... x C. -\providecommand*{\Cn}[1][n]{ \mathbb{C}^{{#1}} } +\providecommand*{\Cn}[1][n]{ + \mathbb{C}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi +} -- 2.44.2