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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.
Graded poset, a partially ordered set equipped with a rank function, sometimes called a ranked poset Graded vector space , a vector space with an extra piece of structure Graded algebra , an algebra over a field (or ring) with an extra piece of structure
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 educational system [1] generally refers to the structure of all institutions and the opportunities for obtaining education within a country. It includes all pre-school institutions, starting from family education, and/or early childhood education, through kindergarten, primary, secondary, and tertiary schools, then lyceums, colleges, and faculties also known as Higher education (University ...
Academic rank (also scientific rank) is the rank of a scientist or teacher in a college, high school, university or research establishment. The academic ranks indicate relative importance and power of individuals in academia. The academic ranks are specific for each country, there is no worldwide-unified
Educational stages are subdivisions of formal learning, typically covering early childhood education, primary education, secondary education and tertiary education.The United Nations Educational, Scientific and Cultural Organization recognizes nine levels of education in its International Standard Classification of Education (ISCED) system (from Level 0 (pre-primary education) through Level 8 ...