97.34 An area inequality for subtriangles of a quadrilateral

2013 ◽  
Vol 97 (539) ◽  
pp. 308-311
Author(s):  
Nick Lord
Keyword(s):  
Area Inequality

A Volume-Area Inequality

1982 ◽  
Vol s2-25 (1) ◽  
pp. 88-98 ◽  
Author(s):  
Ruth Miniowitz
Keyword(s):  
Area Inequality

scholarly journals An area inequality for quasi-subordinate analytic functions

1977 ◽  
Vol 34 (1) ◽  
pp. 25-33
Author(s):  
P. J. Eenigenburg ◽  
J. Waniurski
Keyword(s):  
Analytic Functions ◽  
Area Inequality

Measuring Small Area Inequality Using Spatial Microsimulation: Lessons Learned from Australia

2014 ◽  
Vol 8 (2) ◽  
pp. 152-175
Author(s):  
Riyana Miranti ◽  
Rebecca Cassells ◽  
Yogi Vidyattama ◽  
Justine McNamara
Keyword(s):  
Small Area ◽  
Lessons Learned ◽  
Spatial Microsimulation ◽  
Area Inequality

scholarly journals Total curvature and area of curves with cusps and of surface maps

2005 ◽  
Vol 96 (2) ◽  
pp. 224
Author(s):  
Tobias Ekholm ◽  
Frank Kutzschebauch
Keyword(s):  
Total Curvature ◽  
Closed Surface ◽  
Similar Estimate ◽  
Planar Curves ◽  
Surface Maps ◽  
Bounded Below ◽  
Area Inequality

A curvature-area inequality for planar curves with cusps is derived. Using this inequality, the total (Lipschitz-Killing) curvature of a map with stable singularities of a closed surface into the plane is shown to be bounded below by the area of the map divided by the square of the radius of the smallest ball containing the image of the map. This latter result fills the gap in Santaló's proof of a similar estimate for surface maps into $\mathbf{R}^n$, $n>2$.

scholarly journals Area inequality and Qp norm

2005 ◽  
Vol 221 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Rauno Aulaskari ◽  
Huaihui Chen
Keyword(s):  
Area Inequality
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