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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.
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 Education Index is a component of the Human Development Index (HDI) published every year by the United Nations Development Programme. Alongside the economical indicators ( GDP ) and Life Expectancy Index , it helps measure the educational attainment .
The ranking took into account 32 benchmarks including performance, funding, dropout rate and safety. New Jersey school system ranked 4th best in the nation. Here's how NJ stood out
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 ...
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 ...
Ranked choice voting is a system that works. It has been used in American cities since 1915 and in nations such as Australia for over a century. If you know the frustration and disgust of voting ...