In the early 60s, Harary and Hill conjectured H(n) := 1 4b2 cbn−1 2 cbn−2 2 cbn−3 2 c to be the minimum number of crossings among all drawings of the complete graph Kn. It has recently been shown that this conjecture holds for so-called shellable drawings of Kn. For n ≥ 11 odd, we construct a non-shellable family of drawings of Kn with exactly H(n) crossings. In particular, every edge in our dr...

On utilising an identity from [5], some weighted Ostrowski type inequalities are established.

Productpart of0,* 0,1

In this paper we derive weighted Ostrowski, Ostrowski-Grüss and Ostrowski-Čebyšev type inequalities on time scales. We also give some other interesting inequalities on time scales as special cases.

In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.

The Ostrowski theorem in question is that an additive function bounded (above, say) on a set T of positive measure is continuous. In the converse direction, recall that a topological space T is pseudocompact if every function continuous on T is bounded. Thus theorems of ‘converse Ostrowski’type relate to ‘additive (pseudo)compactness’. We give a di¤erent characterization of such sets, in terms ...

In this paper we study Ostrowski type inequalities. We generalize some of the results presented in [1]. 2000 Mathematical Subject Classification: 26D15

A basic property of the normal heart is that if its volume is increased, there is an increase in the strength of the contraction. The phenomenon is known as Starling's Law, and as the FrankStarling mechanism. This phenomenon is of great importance. If the heart were unable to increase its output when distended, the distension would become progressively severe. The underlying important relation ...

6. Tavassol F, Starke OF, Kokemüller H, Wegener G, Müller-Tavassol CCM, Gellrich NC, Eckardt A: Prognostic significance of heat shock protein 70 (HSP 70) in patients with oral cancer. Head & Neck Oncology 2011, 3:10 7. Tavassol F, Schumann P, Lindhorst D, Sinikovic B, Voss A, Stühmer C, Kampmann A, Bormann KH, Carvalho C, Mülhaupt R, Harder Y, Laschke MW, Menger MD, Gellrich NC, and Rücker M.: ...