jordan curve उदाहरण वाक्य

उदाहरण वाक्य

1. The statement of the Jordan curve theorem may seem obvious at first, but it is a rather difficult theorem to prove.
2. Replacing ? by a homotopic curve, it may be assumed that ? is a smooth Jordan curve ? with non-vanishing derivative.
3. Some examples are the Hahn Banach theorem, K�nig's lemma, Brouwer fixed point theorem, G�del's completeness theorem and Jordan curve theorem.
4. The proof of the Jordan curve theorem for " differentiable curves " is not difficult, and can be done using mathematics available to Gauss.
5. One proof of the impossibility of finding a planar embedding of " K " 3, 3 uses a case analysis involving the Jordan curve theorem.
6. In fact, it's a simple corollary of the Jordan curve theorem ( which basically says every simple closed curve has an inside and outside ).
7. :: : Smale is talking about the Jordan curve theorem, which states that a closed continuous curve in the plane has an inside and an outside.
8. Completing the curve to a Jordan curve by adding part of the boundary of the smaller disk, the formula reduces to the planar Green-Stokes formula.
9. The first formal proof of the Jordan curve theorem was created by in the HOL Light system, in January 2005, and contained about 60, 000 lines.
10. He proved the Jordan curve theorem in 1905; while this was long considered the first rigorous proof, many now also consider Jordan's original proof rigorous.