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In mathematics, a ranked poset is a partially ordered set in which one of the following (non-equivalent) conditions hold: it is a graded poset, or; a poset with the property that for every element x, all maximal chains among those with x as greatest element have the same finite length, or; a poset in which all maximal chains have the same ...
The rank is consistent with the covering relation of the ordering, meaning that for all x and y, if y covers x then ρ(y) = ρ(x) + 1. The value of the rank function for an element of the poset is called its rank. Sometimes a graded poset is called a ranked poset but that phrase has other meanings; see Ranked poset.
In this poset, 60 is an upper bound (though not a least upper bound) of the subset {,,,}, which does not have any lower bound (since 1 is not in the poset); on the other hand 2 is a lower bound of the subset of powers of 2, which does not have any upper bound. If the number 0 is included, this will be the greatest element, since this is a ...
Google Translate is a multilingual neural machine translation service developed by Google to translate text, documents and websites from one language into another. It offers a website interface , a mobile app for Android and iOS , as well as an API that helps developers build browser extensions and software applications . [ 3 ]
Google Dictionary is an online dictionary service of Google that can be accessed with the "define" operator and other similar phrases [note 1] in Google Search. [2] It is also available in Google Translate and as a Google Chrome extension. The dictionary content is licensed from Oxford University Press's Oxford Languages. [3]
Latin language was lingua franca in Europe for a long time. Below is a list of Latin honorifics and their abbreviations found in various texts, not necessary Latin. [1]Certain honorifics may be prepended with the intensive prefix prae-, indicating very high degree, e.g., praepotens (very powerful), as well as used in superlative form, such as clarissimus, and even constructed by the ...
In linguistics, an honorific (abbreviated HON) is a grammatical or morphosyntactic form that encodes the relative social status of the participants of the conversation. . Distinct from honorific titles, linguistic honorifics convey formality FORM, social distance, politeness POL, humility HBL, deference, or respect through the choice of an alternate form such as an affix, clitic, grammatical ...
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