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what is a hierarchy in math terms. This is often referred to as an ordered set though that is an ambiguous term that many authors reserve for partially ordered sets or totally ordered sets. A line is where two faces meet in a three-dimensional structure.
In the post What is math we described mathematics as the art of creating and exploring mathematical structures. The sum of the angles of a quadrilateral add up to 360 o. Classroom Observations Teachers who are developing students capacity to look for and make use of structure help learners identify and evaluate efficient strategies for solution.
At school the principal is at the top of the staff hierarchy while the seniors rule the student hierarchy.
Thus for example a ring is a structure for the language of rings that satisfies each of the ring axioms and a model of ZFC set theory is a structure in the language of set theory that satisfies each. A division of angels. If this is the case then our definition of mathematics is rather unsatisfying. The hierarchy of quadrilaterals.