e/Differential structure

Information
has gloss	eng: In mathematics, an n-dimensional differential structure (or differentiable structure) on a set M makes it into an n-dimensional differential manifold, which is a topological manifold with some additional structure that allows us to do differential calculus on the manifold. If M is already a topological manifold, we require that the new topology be identical to the existing one.
lexicalization	eng: differential structure
instance of	c/Differential structures

Meaning
German
has gloss	deu: Eine differenzierbare Struktur (auch Differentialstruktur) beschreibt wichtige Eigenschaften einer Mannigfaltigkeit, die zwischen denen der Topologie und Geometrie liegen. Eine Mannigfaltigkeit wird dabei durch Karten \varphi_i} beschrieben, das heißt durch homöomorphe Abbildungen der Mannigfaltigkeit M in den linearen Raum \mathbbR}^n}
lexicalization	deu: differenzierbare Struktur
Portuguese
has gloss	por: Em matemática, um estrutura diferencial n-dimensional (ou estrutura diferenciável') sobre um conjunto M torna-o uma variedade diferenciável n-dimensional, a qual é uma variedade topológica com alguma estrutura direcional que permite-nos realizar cálculo diferencial sobre a variedade. Se M já é uma variedade topológica, necessita-se que a nova topologia seja idêntica a existente.
lexicalization	por: Estrutura diferencial
Chinese
has gloss	zho: 在数学中，集合 M 上的一个 n-维微分结构（）或可微结构（）使其成为一个 n-维微分流形，这是一个带有附加结构的拓扑流形使得我们可以在流形上做微积分。如果 M 已经是一个拓扑流形，我们要求新拓扑与原来已有的拓扑相同。
lexicalization	zho: 微分结构