Enter a word or phrase in any language 👆
Language:
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
- word translation options
- usage examples (several phrases with translation)
- etymology
linear submanifold - translation to russian
SUBSET OF A MANIFOLD THAT IS A MANIFOLD ITSELF; AN INJECTIVE IMMERSION INTO A MANIFOLD
Immersed submanifold; Embedded submanifold; Regular submanifold; Slice coordinate system; Slice chart
linear submanifold
математика
линейное подмногообразие
embedded submanifold
математика
вложенное подмногообразие
submanifold
общая лексика
подмногообразие
Definition
linear map
<mathematics> (Or "linear transformation") A function from a
vector space to a vector space which respects the additive
and multiplicative structures of the two: that is, for any
two vectors, u, v, in the source vector space and any
scalar, k, in the field over which it is a vector space, a
linear map f satisfies f(u+kv) = f(u) + kf(v).
(1996-09-30)
Wikipedia
Submanifold
In mathematics, a submanifold of a manifold M is a subset S which itself has the structure of a manifold, and for which the inclusion map S → M satisfies certain properties. There are different types of submanifolds depending on exactly which properties are required. Different authors often have different definitions.
