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'''Menzerath's law''', or '''Menzerath–Altmann law''' (named after Paul Menzerath and Gabriel Altmann), is a [[linguistics|linguistic]] law according to which the increase of a linguistic construct results in a decrease of its constituents, and vice versa
<ref>{{cite book | author = Gabriel Altmann, Michael H. Schwibbe  | title =  Das Menzerathsche Gesetz in informationsverarbeitenden Systemen| edition =  | publisher =  Olms |location=Hildesheim/Zürich/New York| year =  1989 | isbn = 3-487-09144-5  }}</ref>
.<ref>{{cite book | author = Luděk Hřebíček    | title = Text Levels. Language Constructs, Constituents and the Menzerath-Altmann Law  | edition =  | publisher = Wissenschaftlicher Verlag Trier  |location= | year =  1995  | isbn = 3-88476-179-X  }}
</ref>


E.g., the longer a sentence (measured in terms of the number of clauses) the shorter the clauses (measured in terms of the number of words), or: the longer a word (in syllables or morphs) the shorter the syllables or words in sounds.


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According to Altmann (1980),<ref>
{{cite journal| author=Gabriel Altmann |year=1980 |title=Prolegomena to Menzerath's law |journal=Glottometrika |volume=2 |pages=pp. 1–10}}
</ref> it can be mathematically stated as:
 
<math>y=a \cdot x^{-b} \cdot e^{-c x}</math>
 
where:
 
* <math>y</math> is the constituent size (e.g. syllable length)
* <math>x</math> size of the linguistic construct that is being inspected (e.g. number of syllables per word)
* <math>a</math>, <math>b</math>, <math>c</math> are the parameters
 
Beyond [[quantitative linguistics]], Menzerath's law can be discussed in any
multi-level complex systems. Given three levels, <math>x</math> is the
number of middle-level units contained in a high-level unit, <math>y</math>
is the averaged number of low-level units contained in middle-level units,
Menzerath's law claims a negative
[[Correlation and dependence|correlation]] between <math>y</math> and <math>x</math>.
Menzerath's law is shown to be true for both the
[[nucleotide|base]]-[[exon]]-[[gene]] levels in the [[human genome]]
,<ref>
{{cite journal| author=Wentian Li |year=2012 |title= Menzerath's law at the gene-exon level in the human genome|journal=Complexity |volume=17 |issue=4|pages=49–53 |doi=10.1002/cplx.20398}}
</ref>
and [[nucleotide|base]]-[[chromosome]]-[[genome]] levels in genomes from a collection of species
.<ref>
{{cite journal| author= Ramon Ferrer-I-Cancho, Núria Forns |year=2009 |title=  The self-organization of genomes|journal=Complexity |volume=15 |issue=5|pages=34–36 |doi= 10.1002/cplx.20296}}
</ref>
 
==References==
{{Reflist}}
 
[[Category:Quantitative linguistics]]

Revision as of 17:04, 21 January 2014

Menzerath's law, or Menzerath–Altmann law (named after Paul Menzerath and Gabriel Altmann), is a linguistic law according to which the increase of a linguistic construct results in a decrease of its constituents, and vice versa [1] .[2]

E.g., the longer a sentence (measured in terms of the number of clauses) the shorter the clauses (measured in terms of the number of words), or: the longer a word (in syllables or morphs) the shorter the syllables or words in sounds.

According to Altmann (1980),[3] it can be mathematically stated as:

y=axbecx

where:

  • y is the constituent size (e.g. syllable length)
  • x size of the linguistic construct that is being inspected (e.g. number of syllables per word)
  • a, b, c are the parameters

Beyond quantitative linguistics, Menzerath's law can be discussed in any multi-level complex systems. Given three levels, x is the number of middle-level units contained in a high-level unit, y is the averaged number of low-level units contained in middle-level units, Menzerath's law claims a negative correlation between y and x. Menzerath's law is shown to be true for both the base-exon-gene levels in the human genome ,[4] and base-chromosome-genome levels in genomes from a collection of species .[5]

References

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    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
  5. One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

    In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang