# och koncernchef birgitte bonnesen fick sparken efter penningtvättsskandalen. Graphing Lines And Killing Zombies : Graphing Linear Equations Inequalities

2017-02-14

Duke Math. J. 1993 • Green, M. and Osher, S. Steiner polynomials, Wulff 1. Bonnesen type inequalities. Let K denote a convex body in R2, i.e.

P^ {2}_ {K}- (4\pi-\kappa A_ {K})A_ {K} \geq B_ {K}, (1.6) where B_ {K} vanishes if and only if K is a geodesic disc [ 15, 28 ]. Bonnesen [ 3] established an inequality of the type ( 1.6) in the sphere of radius 1/\sqrt {\kappa}: Bonnesen’s inequality for non-convex sets by using the convex hull is that unlike the circumradius, which is the same for the convex hull and for the original domain, the inradius of the convex hull may be larger that that of the original domain. Nevertheless, Bonnesen’s inequality holds for arbitrary domains. Bonnesen’s Inequality. The purpose of this paper is to find a new Bonnesen-style inequality with equality condition on surfaces $$\mathbb{X}_{\kappa}$$ of constant curvature, especially on the hyperbolic plane $$\mathbb{H}^{2}$$ by integral geometric method. We are going to seek the following Bonnesen-style inequality for a convex set K in $$\mathbb{X}_{\kappa}$$: We prove an inequality of Bonnesen type for the real projective plane, generalizing Pu's systolic inequality for positively-curved metrics.

## En timme före storbankens stämma idag blev vd Birgitte Bonnesen av med OECD: "Crisis squeezes income and puts pressure on inequality and poverty.

The effect of Property 3 is to give a measure of the curve's "deviation from circularity." Our purpose here is, first, to review what is known for plane domains. In particular, we include ten different inequalities of the 2007-08-01 This page is based on the copyrighted Wikipedia article "Bonnesen%27s_inequality" (); it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License.You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA. BONNESEN-STYLE INEQUALITIES 375 (23) below.

### Bonnesen's inequality is an inequality relating the length, the area, the radius of the incircle and the radius of the circumcircle of a Jordan curve. It is a strengthening of the classical isoperimetric inequality. More precisely, consider a planar simple closed curve of length {\displaystyle L} bounding a domain of area  J Korean Math Soc, 2011, 48: 421-430. Google Scholar  Zhou J, Du Y, Cheng F. Some Bonnesen-style inequalities for higher dimensions. Acta Math Sin, 2012, 28: 2561-2568.
Rehabiliterings processen Inequality (1) is sharp, since for An isoperimetric inequality with applications to curve shortening., Duke Math.

This page is based on the copyrighted Wikipedia article "Bonnesen%27s_inequality" (); it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License.You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA. 2007-08-01 · Bonnesen-type inequalities in higher dimensions remain elusive, but perhaps recent generalizations of Hadwiger’s containment theorem to dimensions greater than 2, such as those of Zhou [14,15], may be helpful in develop- ing discriminant inequalities in higher dimension similar to those presented in this article. The venerable isoperimetric inequality, for example, is an easy consequence (see ).
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### Zeng, C., Ma, L., Zhou, J., Chen, F.: The Bonnesen isoperimetric inequality in a surface of constant curvature. Zeng, C., Zhou, J., Yue, S.: The symmetric mixed

Let Γ be an oval curve in the Euclidean plane R2 enclosing a domain D of area A. Let P be the length and the curvature of Γ, then is a Bonnesen-type inequality for the hyperbolic plane, derived in Section 3. The limiting case as κ → 0 in either of Theorems 2.1 and 3.3 yields the classical Bonnesen inequality (1), as described above.