Fawcett (2010: 26-7):
Halliday's first distinction is in fact between two broad types of structure that he calls "univariate" and "multivariate" structures. A "multivariate" structure is simply a unit that is composed of one or more of a set of different elements of structure, such as a clause or a nominal group, essentially as distinguished in "Categories" and as recognised here. The term "multi-" is intended to mark the fact that the sister "variables" (as Halliday calls the 'elements', in what seems an unnecessarily abstract terminology) are different from each other. So for our present purposes we can set the concept of 'multivariate structure' on one side, since it does not introduce a new concept to the theory.
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[1] To be clear, a multivariate structure is defined as 'a configuration of elements each having a distinct function with respect to the whole' (Halliday & Matthiessen 2014: 390), whereas a univariate structure is 'an iteration of the same functional relationship' and is 'unique to the logical mode of meaning' (op. cit.: 451).
[2] To be clear, groups have both a multivariate structure and a univariate structure. It is the latter that motivates the term 'group', rather than 'phrase'. Halliday & Matthiessen (2014: 437):
[1] To be clear, a multivariate structure is defined as 'a configuration of elements each having a distinct function with respect to the whole' (Halliday & Matthiessen 2014: 390), whereas a univariate structure is 'an iteration of the same functional relationship' and is 'unique to the logical mode of meaning' (op. cit.: 451).
[2] To be clear, groups have both a multivariate structure and a univariate structure. It is the latter that motivates the term 'group', rather than 'phrase'. Halliday & Matthiessen (2014: 437):
Although groups are word complexes, they cannot be fully accounted for as complexes. Groups have developed their own multivariate constituent structures with functional configurations such as the Deictic + Numerative + Epithet + Classifier + Thing of the nominal group in English. Here the elements are
- (i) distinct in function,
- (ii) realised by distinct classes, and
- (iii) more or less fixed in sequence.
A configuration of such a kind has to be represented as a multivariate structure. Treating the group simply as a ‘word complex’ does not account for all these various aspects of its meaning. It is for this reason that we recognise the group as a distinct rank in the grammar.[3] To be clear, this is not "unnecessarily abstract terminology", merely misunderstood terminology. The term 'element' identifies a part of a whole (structure), whereas the term 'variable' identifies the choice involved (system).
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