用“simply connected”造句大全,simply connected造句
OK, so that's the definition of the surface of a sphere being simply connected.
In many ways, I simply connected the dots in these different strands of thinking and warnings.
Well, if you know that your vector field is defined everywhere in a simply connected region, then you don't have to worry about this question of, can I apply Green's theorem to the inside?
OK, so anyway, that's the customary warning about simply connected things.
His conjecture, made in 1904, was that in this four-dimensional world, all closed three-dimensional surfaces that are simply connected could be transformed to look like a three-dimensional sphere.
In this example, the surface is not simply connected and any smoothed-out object looks like a torus with at least one hole.
OK, so where do we use the assumption of being defined in a simply connected region?
OK, so for this guy, domain of definition, which is plane minus the origin with the origin removed is not simply connected.