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Heaps' Law
In linguistics, Heaps' law (also called Herdan's law) is an empirical law which describes the number of distinct words in a document (or set of documents) as a function of the document length (so called type-token relation). It can be formulated as : V_R(n) = Kn^\beta where ''VR'' is the number of distinct words in an instance text of size ''n''. ''K'' and β are free parameters determined empirically. With English text corpora, typically ''K'' is between 10 and 100, and β is between 0.4 and 0.6. The law is frequently attributed to Harold Stanley Heaps, but was originally discovered by . Under mild assumptions, the Herdan–Heaps law is asymptotically equivalent to Zipf's law concerning the frequencies of individual words within a text. This is a consequence of the fact that the type-token relation (in general) of a homogenous text can be derived from the distribution of its types. Heaps' law means that as more instance text is gathered, there will be diminishing returns in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heaps Law Plot
Heap or HEAP may refer to: Computing and mathematics * Heap (data structure), a data structure commonly used to implement a priority queue * Heap (mathematics), a generalization of a group * Heap (programming) (or free store), an area of memory for dynamic memory allocation * Heapsort, a comparison-based sorting algorithm * Heap overflow, a type of buffer overflow that occurs in the heap data area * Sorites paradox, also known as the paradox of the heap Other uses * Heap (surname) * Heaps (surname) * Heap leaching, an industrial mining process * Heap (comics), a golden-age comic book character * Heap, Bury, a former district in England * "The Heap" (''Fargo''), a 2014 television episode * High Explosive, Armor-Piercing, ammunition and ordnance * Holocaust Education and Avoidance Pod, an idea in Neal Stephenson's novel ''Cryptonomicon'' See also * Skandha, Buddhist concept describing the aggregated contents of mental activity * Beap or bi-parental heap, a data structure * Tre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Menzerath's Law
Menzerath's law, or Menzerath–Altmann law (named after Paul Menzerath and Gabriel Altmann), is a linguistic law according to which the increase of the size of a linguistic construct results in a decrease of the size of its constituents, and vice versa. 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 morphs in sounds. According to Altmann (1980), it can be mathematically stated as: y=a \cdot x^ \cdot e^ 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 The law can be explained by the assumption that linguistic segments contain information about its structure (besides the information that needs to be communicated). The assumption that the length of the structure information is in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |