Re: Map

• To: mathgroup at smc.vnet.net
• Subject: [mg130922] Re: Map
• From: Jon Morris <djpmorris at googlemail.com>
• Date: Sat, 25 May 2013 05:41:19 -0400 (EDT)
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```Explanation received via email reposted incase it helps other people:

hklist = Array[h, {5, 3}];

bragg = {b1, b2, b3};

qbarlist = Map[(# - bragg) &, hklist, {2, 2}];

As stated in the documentation ( http://reference.wolfram.com/mathematica/ref/Map.html ), the third argument to Map is the level specification and the form {n1, n2} specifies levels n1 through n2. In this case n1 and n2 are equal so it is equivalent to just {n1}.

qbarlist === Map[(# - bragg) &, hklist, {2}]

True

If you look at your outputs carefully you will see that you do not get the same result with a third argument of {1}

qbarlist === Map[(# - bragg) &, hklist, {1}]

False

qbarlist // Dimensions

{5, 3, 3}

Map[(# - bragg) &, hklist, {1}] // Dimensions

{5, 3}

Examine the two different arrays above to understand the different behavior.

Bob

What I was hoping it would give as a result was:

{{h[1,1]-b1, h[1,2]-b2, h[1,3]-b3},
{h[2,1]-b1, h[2,2]-b2, h[2,3]-b3},
{h[3,1]-b1, h[3,2]-b2, h[3,3]-b3},...

After your explanation I realise that I get that result with Map[(#-bragg) &, hkllist, {1}] and this makes me think that this may have given a bug in the original code.