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In linguistics, Immediate Constituent Analysis (ICA) is a syntactic theory which focuses on the hierarchical structure of sentences by isolating and identifying the constituents. While the idea of breaking down sentences into smaller components can be traced back to early psychological and linguistic theories, ICA as a formal method was ...
In geology, a rock composed of different minerals may be a compositional data point in a sample of rocks; a rock of which 10% is the first mineral, 30% is the second, and the remaining 60% is the third would correspond to the triple [0.1, 0.3, 0.6]. A data set would contain one such triple for each rock in a sample of rocks.
Ratio decidendi (US: / ˌ r eɪ ʃ i oʊ ˌ d ɪ s aɪ ˈ d ɛ n d i,-d aɪ /; Latin plural rationes decidendi) is a Latin phrase meaning "the reason" or "the rationale for the decision". The ratio decidendi is "the point in a case that determines the judgement" [1] or "the principle that the case establishes".
Rational choice modeling refers to the use of decision theory (the theory of rational choice) as a set of guidelines to help understand economic and social behavior. [1] [2] The theory tries to approximate, predict, or mathematically model human behavior by analyzing the behavior of a rational actor facing the same costs and benefits.
Lexical density is a concept in computational linguistics that measures the structure and complexity of human communication in a language. [1] Lexical density estimates the linguistic complexity in a written or spoken composition from the functional words (grammatical units) and content words (lexical units, lexemes).
Quintilian saw rhetoric as the science of the possible deviation from a given norm, or from a pre-existing text taken as a model. Each variation can be seen as a figure (figures of speech or figures of thought). [4] From this perspective, Quintilian famously formulated four fundamental operations according to the analysis of any such variation.
This point is evident with the two tree diagrams above of the sentence Drunks could put off the customers, where the dependency grammar analysis of constituent structure looks very much unlike the phrase structure analysis. The crucial difference across the two analyses is that the phrase structure analysis views every individual word as a ...
In this example, the ratio of adjacent terms in the blue sequence converges to L=1/2. We choose r = (L+1)/2 = 3/4. Then the blue sequence is dominated by the red sequence r k for all n ≥ 2. The red sequence converges, so the blue sequence does as well. Below is a proof of the validity of the generalized ratio test.