Graphical law beneath each written natural language
نویسنده
چکیده
We study twenty four written natural languages. We draw in the log scale, number of words starting with a letter vs rank of the letter, both normalised. We find that all the graphs are of the similar type. The graphs are tantalisingly closer to the curves of reduced magnetisation vs reduced temperature for magnetic materials. We make a weak conjecture that a curve of magnetisation underlies a written natural language. Our world is alive with languages. Some are spoken by many. Some are spoken by few. English is a language known to large part of the world. Languages are there yet to be discovered. Like English there are languages which use written scripts. Many others exist in spoken form. A subset of languages of the world use alphabets. A subsub-set have dictionaries. Official language in most part of the world is English. Dictionaries from English to a natural language is of common availability. A Dictionary is where words beginning with alphabets are recorded in their relative abundances. Few alphabets are heavily used. Few are scantily done so. Number of alphabets vary from a language to another language. Linguistics about Zipf's law and its variants has been a subject of interesting intense computational physics study for quite some time [1]. Moreover, Drod etal, [2], have observed trace of scaling in verbs, in English and Polish languages respectively. In this work we study the word contents along the alphabets in a language. We arrange the alphabets in ascending order of their ranks. The alphabet with the highest number of words starting with is of rank one. For a natural language, a dictionary from it to English, is a natural choice for this type of study. In the next section we describe our method of study. In the following section, we describe the standard curves of magnetisation of Ising model. In the ensuing 1 section, section IV, we describe our graphical results. Then we comment about the generality and then pre-conclude about the graphical law, the tantalising similarity of the curves to that of curves of magnetisation, in the in the section V. We go on to add two more languages to our study in the section VI, followed by a section, section VII, on successive normalisations. We end up through conclusion, acknowledgement and an appendix providing language datas of this module in the sections VIII, IX and X. In the next five …
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ورودعنوان ژورنال:
- CoRR
دوره abs/1307.6235 شماره
صفحات -
تاریخ انتشار 2013