The Menzerath-Altmann Law (Quantitative Linguistics [QL])

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The Menzerath-Altmann law can be traced back to 1928, when it was observed that long German words tend to consist of short syllables, and vice versa. The law was later generalized to be applicable to all languages. In essence, the Menzerath-Altmann law constitutes a mathematical model for the relation between sizes of linguistic constituents and constructs. It is almost ubiquitous, both across languages and across different types of linguistic units, and can be expressed by a simple mathematical formula. The book presents not only a summary of the results achieved so far but also new findings. It identifies some of the conditions under which the law is valid, offers an interpretation of the model parameters, and extends the scope of the law across the hierarchy of linguistic units. It contributes to the development of theoretical linguistics and to mathematical modelling of language properties.

The Menzerath-Altmann Law can be traced back to 1928, when it was observed that long German words tend to consist of short syllables, and vice versa. The law was later generalized to be applicable to all languages. In essence, the Menzerath-Altmann Law constitutes a mathematical model for the relation between sizes of linguistic constituents and constructs. The model measures syllables and words and then places them in the so-called language unit hierarchy. The Menzerath-Altmann Law is almost ubiquitous - both with respect to languages and language units - and can be expressed by a simple mathematical formula. Relatively new linguistic units, such as linguistic motifs, sentence aggregates or syntactic structures from dependency grammar, also follow the law. The book offers the first interpretation of the model parameters. It contributes to the development of theoretical linguistics and to mathematical modelling of language properties. Ján Macutek, Slovakia; Radek Cech, Czech Republic; Andrij Rovenchak, Ukraine; Antoni Hernández-Fernández, Spain.

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