The space invaders
Tài liệu Đề tài " The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains " doc
... stable surface the desired multi-valued graph. (The existence of the curves σ 1 , γ 1 , γ 2 will be established in the next section.) First we need two lemmas. The first of these is the following: Lemma ... replacement then gives a broken geodesic with the same length bound and a bound on the number of breaks. Third, we find a simple subcurve and use the Gauss-Bonnet theorem to...
Ngày tải lên: 14/02/2014, 17:20
Đề tài " Axiom A maps are dense in the space of unimodal maps in the Ck topology " doc
... of the domain B. Then the ratio |A k l +1 | |A k l | tends to 0 exponentially fast, where |A k | is the length of the real trace of the domain A k . Here the real trace of the domain is just the ... enough) and because of the choice of T 0 the interval f(T 1 )ismuch larger than the part of the interval T 1 which is on the other side of the critical value. Therefo...
Ngày tải lên: 05/03/2014, 23:20
Đề tài " The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks " doc
... GRAPHICAL OFF THE AXIS 35 In this part, we prove Theorem I.0.8 when the surface is in a slab, illus- trating the key points (the full theorem, using the results of this part, will ... over the circle) into three parts where the middle sheet is the second part. The idea is then that the first and third parts have subsectors which are almost flat multi-valued graphs and the m...
Ngày tải lên: 14/03/2014, 22:20
On the Trail of the Space Pirates docx
... concerning the ship and their part in the fair. They were visited by the subcommissioner of the 18 exposition and advised of the conveniences provided for the participants of the fair. Then, finally, ... Astro. From the power deck, the massive pumps began their whining roar. The great ship shuddered under the pressure. Tom watched the gauge that indicated the pressur...
Ngày tải lên: 23/03/2014, 00:20