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Correspondence (algebraic geometry), between two algebraic varieties; Corresponding sides and corresponding angles, between two polygons; Correspondence (category theory), the opposite of a profunctor; Correspondence (von Neumann algebra) or bimodule, a type of Hilbert space; Correspondence analysis, a multivariate statistical technique
Correspondence theory is a traditional model which goes back at least to some of the ancient Greek philosophers such as Plato and Aristotle. [2] [3] This class of theories holds that the truth or the falsity of a representation is determined solely by how it relates to a reality; that is, by whether it accurately describes that reality.
Correspondence analysis (CA) is a multivariate statistical technique proposed [1] by Herman Otto Hartley (Hirschfeld) [2] and later developed by Jean-Paul Benzécri. [3] It is conceptually similar to principal component analysis, but applies to categorical rather than continuous data.
First, those that exist in nature, seen and unseen, e.g. between the seven metals and the seven planets, between the planets and parts of the human body or character (or of society). This is the basis of astrology - correspondence between the natural world and the invisible departments of the celestial and supercelestial world, etc.
Correspondence is a fundamental problem in computer vision — influential computer vision researcher Takeo Kanade famously once said that the three fundamental problems of computer vision are: “Correspondence, correspondence, and correspondence!” [2] Indeed, correspondence is arguably the key building block in many related applications ...
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Eager to defend the Newtonian view, Clarke responded, and the correspondence continued until the death of Leibniz in 1716. [1] Although a variety of subjects are touched on in the letters, the main interest for modern readers is in the dispute between the absolute theory of space favoured by Newton and Clarke, and Leibniz's relational approach.
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