Frequency and polytextuality - Revision history

Patzschke at 13:13, 26 June 2007

2007-06-26T13:13:02Z

Rkoehler at 08:23, 22 June 2007

2007-06-22T08:23:14Z

Rkoehler at 08:16, 22 June 2007

2007-06-22T08:16:58Z

Rkoehler at 08:16, 22 June 2007

2007-06-22T08:16:01Z

Rkoehler at 08:12, 22 June 2007

2007-06-22T08:12:46Z

Rkoehler at 08:12, 22 June 2007

2007-06-22T08:12:31Z

Rkoehler at 08:11, 22 June 2007

2007-06-22T08:11:45Z

Rkoehler at 08:10, 22 June 2007

2007-06-22T08:10:07Z

Rkoehler at 08:08, 22 June 2007

2007-06-22T08:08:07Z

Rkoehler at 08:06, 22 June 2007

2007-06-22T08:06:44Z

← Older revision		Revision as of 13:13, 26 June 2007
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	Köhler (1986) published his result on data of a German text corpus (LIMAS), respresented here by the following graph:		Köhler (1986) published his result on data of a German text corpus (LIMAS), respresented here by the following graph:

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 <div align="center">[[Image:Grafi1_Freq.jpg]]</div>
 <div align="center">Fig. 2. Relation between types and tokens of Japanese morae</div>
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 '''Wimmer, G., Altmann, G.''' (1995). A model of morphological productivity. ''J. of Quantitative Linguistics 2, 212-216.''
-[[Category:Frequency]]
+[[Category:Quantitative properties]]

← Older revision		Revision as of 08:16, 22 June 2007
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	'''Wimmer, G., Altmann, G.''' (1995). A model of morphological productivity. ''J. of Quantitative Linguistics 2, 212-216.''		'''Wimmer, G., Altmann, G.''' (1995). A model of morphological productivity. ''J. of Quantitative Linguistics 2, 212-216.''

−	[[Category:~~law~~]]	+	[[Category:Frequency]]

← Older revision		Revision as of 08:16, 22 June 2007
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	'''Wimmer, G., Altmann, G.''' (1995). A model of morphological productivity. ''J. of Quantitative Linguistics 2, 212-216.''		'''Wimmer, G., Altmann, G.''' (1995). A model of morphological productivity. ''J. of Quantitative Linguistics 2, 212-216.''

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 The degree of independence of the unsability of a unit from its context (or, the variability of contextes with respect to a given unit), can be measured in several ways. Word polytextuality is often measured in terms of the number of different texts in a text corpus which contain at least one token of the given word. Polytextuality of morphemes or syllables are usually measured with reference to an inventory such as a dictionary.
-The relationship between frequency and polytextuality has been postulated and investigated by R. Köhler (1986) as a complement to other quantitative properties, in order to integrate it into his synergetic control cycle. AS a consequence of an erroneous identification with another “type-token” problem (<math>\rightarrow</math>), one can find this relationship also under the name “(morphological) productivity” (cf. Baayen 2001), which in turn represents a slightly different aspect (cf. Wimmer, Altmann 1995). The relationship was studied in different works on language synergetics (cf. e.g. Gieseking 2002), Köhler (2005) reformulated the pertinent part of his control cycle and Tamaoka, Altmann (2005) showed by means of Japanese morae that the unified theory (<math>\rightarrow</math>) leads to an identical result.
+The relationship between frequency and polytextuality has been postulated and investigated by R. Köhler (1986) as a complement to other quantitative properties, in order to integrate it into his synergetic control cycle. As a consequence of an erroneous identification with another “type-token” problem (<math>\rightarrow</math>), one can find this relationship also under the name “(morphological) productivity” (cf. Baayen 2001), which in turn represents a slightly different aspect (cf. Wimmer, Altmann 1995). The relationship was studied in different works on language synergetics (cf. e.g. Gieseking 2002), Köhler (2005) reformulated the pertinent part of his control cycle and Tamaoka, Altmann (2005) showed by means of Japanese morae that the unified theory (<math>\rightarrow</math>) leads to an identical result.
 Usually one considers frequency as the spiritus movens, the independent variable of many relationships, but Köhler (1986) assumed here an inverse relationship.

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 Polytextuality measures the degree of independence of the usability of a word (in general of a linguistic unit) of its co-text or context. Linguistic units such as phonemes, syllables, morae, morphemes, words etc. differ in their usability with respect to different environments. The environment of a syllable, mora or morphem consists of the words in which they occur, the environment of a word consists of phrases, sentences, or texts. The number of different environments is often called the number of types. The frequency of a given entity in all its environments in, say, a corpus, is considered as the number of tokens. It can be shown that there exists a lawful relationship between the number of types (environments) and the number of tokens (frequency) of units on the given level.
-The degree of independence of the unsability of a unit from its context (or, the variability of contextes with respect to a given unit), can be measured in several ways. Word polytextuality is often measured in terms of the number of different texts in a text corpus which contain at least one token of the given word.
+The degree of independence of the unsability of a unit from its context (or, the variability of contextes with respect to a given unit), can be measured in several ways. Word polytextuality is often measured in terms of the number of different texts in a text corpus which contain at least one token of the given word. Polytextuality of morphemes or syllables are usually measured with reference to an inventory such as a dictionary.
 The relationship between frequency and polytextuality has been postulated and investigated by R. Köhler (1986) as a complement to other quantitative properties, in order to integrate it into his synergetic control cycle. Since the computation of data is very laborious and the erroneous identification with another “type-token” problem (<math>\rightarrow</math>) lead to confusion, one can find this relationship also under the name “(morphological) productivity” (cf. Baayen 2001), which in turn represents a slightly different aspect (cf. Wimmer, Altmann 1995). The relationship was studied in different works on language synergetics (cf. e.g. Gieseking 2002), Köhler (2005) reformulated the pertinent part of his control cycle and Tamaoka, Altmann (2005) showed by means of Japanese morae that the unified theory (<math>\rightarrow</math>) leads to an identical result.

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 '''1. Problem and history'''
-Polytextuality measures the degree of independence of the usability of a word (in general of a linguistic unit) of its co-text or context. Linguistic units such as phonemes, syllables, morae, morphemes, words etc. differ in their usability with respect to different environments. The environment of a syllable, mora or morphem consists of the words in which they occur, the environment of a word consists of phrases, sentences, or texts. The number of different environments is often called the number of types. The frequency of a given entity in all its environments in, say, a corpus, is considered as the number of tokens. It can be shown that a certain, there exists a lawful relationship between the number of types (environments) and the number of tokens (frequency) of units on the given level.
+Polytextuality measures the degree of independence of the usability of a word (in general of a linguistic unit) of its co-text or context. Linguistic units such as phonemes, syllables, morae, morphemes, words etc. differ in their usability with respect to different environments. The environment of a syllable, mora or morphem consists of the words in which they occur, the environment of a word consists of phrases, sentences, or texts. The number of different environments is often called the number of types. The frequency of a given entity in all its environments in, say, a corpus, is considered as the number of tokens. It can be shown that there exists a lawful relationship between the number of types (environments) and the number of tokens (frequency) of units on the given level.
 The degree of independence of the unsability of a unit from its context (or, the variability of contextes with respect to a given unit), can be measured in several ways. Word polytextuality is often measured in terms of the number of different texts in a text corpus which contain at least one token of the given word.