Re: [boost] range, multi-dimensional

From: Paul Giaccone (paulg_at_[hidden])
Date: 2007-04-16 04:36:02

Daniel Walker wrote:

>On 4/13/07, Marco <mrcekets_at_[hidden]> wrote:
>  
>
>>On Fri, 13 Apr 2007 20:26:17 +0200, Daniel Walker
>><daniel.j.walker_at_[hidden]> wrote:
>>    
>>
>>>I'm not sure if span is the right name for it, and this has got to be
>>>encroaching on UBLAS' domain. But it's doable for ranges. I just tried
>>>the following, which I believe will work for arbitrary dimensions.
>>>
>>Mathematically speaking, the term "span" is inappropriate: span is usually
>>used in linear algebra to denote the space generated by all linear
>>combinations of a set of vectors [...].
>>    
>>
>
>Thanks. I thought "span" might not be right. I wasn't sure if slice
>only referred to 1d vectors or if it could be a subspace of any
>dimension.
>

I think "slice" could be used for any number of (positive integer) 
dimensions. From a non-mathematical point of view, consider:

* a "time slice": this is one-dimensional (the dimension is time);
* a rock sliced through the middle so you can see its internal 
structure, which would be 2D; and
* a slice of cake, which is definitely 3D (even though this doesn't 
reduce the original number of dimensions; if it did, the slice would 
have zero volume and so zero calories!)