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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.
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 .
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.
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 ...
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
Non-formal and informal education occur outside the formal schooling system, with non-formal education serving as a middle ground. Like formal education, non-formal education is organized, systematic, and pursued with a clear purpose, as seen in activities such as tutoring, fitness classes, and participation in the scouting movement. [28]
Grading in education is the application of standardized measurements to evaluate different levels of student achievement in a course. Grades can be expressed as letters (usually A to F), as a range (for example, 1 to 6), percentages, or as numbers out of a possible total (often out of 100). The exact system that is used varies worldwide.