Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
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- usage examples (several phrases with translation)
- etymology
cut-in point - translation to russian
строительное дело
точка включения
общая лексика
граница кипения фракций
разрезающая точка
нефтегазовая промышленность
стык (различных нефтепродуктов при последовательном перекачивании их по трубопроводу)
точка отсечки
Definition
Wikipedia
In topology, a cut-point is a point of a connected space such that its removal causes the resulting space to be disconnected. If removal of a point doesn't result in disconnected spaces, this point is called a non-cut point.
For example, every point of a line is a cut-point, while no point of a circle is a cut-point.
Cut-points are useful to determine whether two connected spaces are homeomorphic by counting the number of cut-points in each space. If two spaces have different number of cut-points, they are not homeomorphic. A classic example is using cut-points to show that lines and circles are not homeomorphic.
Cut-points are also useful in the characterization of topological continua, a class of spaces which combine the properties of compactness and connectedness and include many familiar spaces such as the unit interval, the circle, and the torus.
