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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.
A partially ordered set (poset for short) is an ordered pair = (,) consisting of a set (called the ground set of ) and a partial order on . When the meaning is clear from context and there is no ambiguity about the partial order, the set X {\displaystyle X} itself is sometimes called a poset.
Military rank; Grade (surname) (includes a list of people with the name) Grade, Cornwall, a village in the UK; Coin grading, the process of determining the grade or condition of a coin, the key factor in its value; Food grading, the inspection, assessment and sorting of foods to determine quality, freshness, legal conformity and market value
The study sought to determine the best and worst states for public school education by comparing them based on quality and safety. Oklahoma's education system ranked second-worst in the country ...
Below is the grading system found to be most commonly used in United States public high schools, according to the 2009 High School Transcript Study. [2] This is the most used grading system; however, there are some schools that use an edited version of the college system, which means 89.5 or above becomes an A average, 79.5 becomes a B, and so on.
In most cases, the academic rank is automatically attached to a person at the time of employment in a position with the same name, and deprived when a working relationship ends. Thus, the term "academic rank" usually means the same as "position in academia". In some countries, however, the terms "position" and "academic rank" are not synonymous.
Ranked-choice voting or RCV is a system that only some states and counties use, but there's a growing push to implement it in wider U.S. elections.