Translation for "diffeomorfinen" to english
Diffeomorfinen
Translation examples
Milnor konstruoi sileän moniston, joka on homeomorfinen 7-ulotteisen pallon kanssa, mutta joka ei ole diffeomorfinen sen kanssa.
For example, Milnor showed that two 7-cells can be glued along their boundary so that the result is an exotic sphere homeomorphic but not diffeomorphic to a 7-sphere.
Kun R ≥ r, toruksen sisään jäävä kappale eli toroidi ( R − x 2 + y 2 ) 2 + z 2 < r 2 {\displaystyle \left(R-{\sqrt {x^{2}+y^{2}}}\right)^{2}+z^{2}<r^{2}} on diffeomorfinen ja niin ollen myös homeomorfinen avoimen kiekon ja ympyrän karteesisen tulon kanssa.
When R ≥ r, the interior ( x 2 + y 2 − R ) 2 + z 2 < r 2 {\displaystyle \left({\sqrt {x^{2}+y^{2}}}-R\right)^{2}+z^{2}<r^{2}} of this torus is diffeomorphic (and, hence, homeomorphic) to a product of a Euclidean open disc and a circle.
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