Tradução e análise de palavras por inteligência artificial ChatGPT
Nesta página você pode obter uma análise detalhada de uma palavra ou frase, produzida usando a melhor tecnologia de inteligência artificial até o momento:
- como a palavra é usada
- frequência de uso
- é usado com mais frequência na fala oral ou escrita
- opções de tradução de palavras
- exemplos de uso (várias frases com tradução)
- etimologia
O que (quem) é symmetry preserving - definição
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![A [[normal distribution]] bell curve is an example symmetric function](https://commons.wikimedia.org/wiki/Special:FilePath/Empirical Rule.PNG?width=200 "A [[normal distribution]] bell curve is an example symmetric function")
![Many animals, such as this [[spider crab]] ''[[Maja crispata]]'', are bilaterally symmetric.](https://commons.wikimedia.org/wiki/Special:FilePath/Maja crispata (Maia verrucosa) - Museo Civico di Storia Naturale Giacomo Doria - Genoa, Italy - DSC03222 Cropped.JPG?width=200 "Many animals, such as this [[spider crab]] ''[[Maja crispata]]'', are bilaterally symmetric.")
![Mirror symmetry is often used in [[architecture]], as in the facade of [[Santa Maria Novella]], [[Florence]], 1470.](https://commons.wikimedia.org/wiki/Special:FilePath/Santa Maria Novella.jpg?width=200 "Mirror symmetry is often used in [[architecture]], as in the facade of [[Santa Maria Novella]], [[Florence]], 1470.")
Wikipédia
In the mathematical area of order theory, one often speaks about functions that preserve certain limits, i.e. certain suprema or infima. Roughly speaking, these functions map the supremum/infimum of a set to the supremum/infimum of the image of the set. Depending on the type of sets for which a function satisfies this property, it may preserve finite, directed, non-empty, or just arbitrary suprema or infima. Each of these requirements appears naturally and frequently in many areas of order theory and there are various important relationships among these concepts and other notions such as monotonicity. If the implication of limit preservation is inverted, such that the existence of limits in the range of a function implies the existence of limits in the domain, then one obtains functions that are limit-reflecting.
The purpose of this article is to clarify the definition of these basic concepts, which is necessary since the literature is not always consistent at this point, and to give general results and explanations on these issues.
