Ranking system in the context of Total order


Ranking system in the context of Total order

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⭐ Core Definition: Ranking system

A ranking is a relationship between a set of items, often recorded in a list, such that, for any two items, the first is either "ranked higher than", "ranked lower than", or "ranked equal to" the second. In mathematics, this is known as a weak order or total preorder of objects. It is not necessarily a total order of objects because two different objects can have the same ranking. The rankings themselves are totally ordered. For example, materials are totally preordered by hardness, while degrees of hardness are totally ordered. If two items are the same in rank it is considered a tie.

By reducing detailed measures to a sequence of ordinal numbers, rankings make it possible to evaluate complex information according to certain criteria. Thus, for example, an Internet search engine may rank the pages it finds according to an estimation of their relevance, making it possible for the user quickly to select the pages they are likely to want to see.

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Ranking system in the context of Military rank

Military ranks are a system of hierarchical relationships within armed forces, police, intelligence agencies and other institutions organized along military lines. Responsibility for personnel, equipment and missions grows with each advancement. The military rank system defines dominance, authority and responsibility within a military hierarchy. It incorporates the principles of exercising power and authority into the military chain of command—the succession of commanders superior to subordinates through which command is exercised. The military chain of command is an important component for organized collective action.

Uniforms denote the bearer's rank by particular insignia affixed to the uniforms of a number of countries. Ranking systems have been known for most of military history to be advantageous for military operations, in particular with regards to logistics, command, and coordination. As time went on and military operations became larger and more complex, more ranks were created and the systems of ranking became more complex.

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Ranking system in the context of Military leader

Military ranks are a system of hierarchical relationships within armed forces, police, intelligence agencies and other institutions organized along military lines. Responsibility for personnel, equipment and missions grows with each advancement. The military rank system defines dominance, authority and responsibility within a military hierarchy. It incorporates the principles of exercising power and authority into the military chain of command—the succession of commanders superior to subordinates through which command is exercised. The military chain of command is an important component for organized collective action.

Uniforms denote the bearer's rank by particular insignia affixed to the uniforms of a number of countries. Ranking systems have been known for most of military history to be advantageous for military operations, in particular with regard to logistics, command, and coordination. As time went on and military operations became larger and more complex, more ranks were created and the systems of ranking became more complex.

View the full Wikipedia page for Military leader
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