Trivia

As trivial ( entstammend the post-classical Latin: trivialis ,-e " usually ", " accessible to everyone ", " well known ", containing the terms tres "three" and via "the way" ) is considered a circumstance easily as obvious for everyone is considered visible or detectable.

The learned in Late Antiquity and the Middle Ages seven liberal arts were divided into the (linguistic) branch of the trivium with grammar, rhetoric, dialectic, and the quadrivium of geometry, arithmetic, astronomy / astrology and music. The subjects of the trivium were therefore called trivial branch of the subject canon. In the name of " trivial school ", the "common town school " of the 17th and 18th century, the idea of ​​a spontaneous development opportunity also included.

This will triviality of related terms such as rating banality or kitsch can differ. Triviality thus comprises knowledge, which is considered as non-complex and easy to understand for anyone as a (too). Trivia designate example, less significant trivia or miscellaneous information. Banality, however, refers to light social conditions of access (eg high bearing capacity, low price) and kitsch to reflexively act emotional accessibility. Nevertheless, the three phenomena in value judgments can also be combined with each other. In this sense, popular literature is to be understood, which is considered little complex, inexpensive widely available (eg booklets literature) and is often perceived as cheesy.

Specialist language use

In some special languages ​​Traceable is easily described as trivial.

Complexity (theoretical computer science )

Trivial problems are mentioned in the context of the Turing reduction in the complexity class P. In this there are two problems that can not be Turing reduce the other Class P. This is the problem "Always accept " and " reject Always" its complement. In the Turing reduction all yes- instances and no- instances of the original problem are each mapped injective on yes- instances and no- instances in the target problem. However, the trivial problems have only one of the two types of instances, so that the instances of the other can not be imaged.

Software Engineering

Methods or other services with the task to look for something or to find can be described as trivial or non- trivial.

Trivial are those that return a variable or other simple value that they can access.

Non- trivial, these are what need to find this value first. It mostly a property is referenced. This is then searched for in a collection or list -like construct according to various criteria and then returned.

Mathematics

Mathematical objects, statements or properties are called trivial if it can be particularly simply stated, that is, without any input from a definition or a set result.

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