Mathematics - Research News

Harnack's inequality for parabolid De Girogi classes in metric spaces

 Mathematics - Research News
 14 December 2012
Juha Kinnunen, Niko Marola, Michele Miranda, Jr., Fabio ParonettoSource: Adv. Differential Equations, Volume 17, Number 9-10, 801--832.Abstract: In this paper we study problems related to parabolic partial differential equations in metric measure spaces equipped with a doubling measure...

Putting the auto in automobile

 Mathematics - Research News
 22 August 2012
It may be hard to accept but it.s likely that we.d all be much safer in autonomous vehicles driven by computers, not humans. Annually more than 30,000 Americans die in car crashes, almost all due to human error. Autonomous vehicles will communicate position and speed to each other and avoid...

Forecasting Crime Part 2

 Mathematics - Research News
 21 August 2012
No one can predict who will commit a crime but in some cities math is helping detect areas where crimes have the greatest chance of occurring. Police then increase patrols in these "hot spots" in order to prevent crime. This innovative practice, called predictive policing, is based on large amounts...

Forecasting Crime Part 1

 Mathematics - Research News
 21 August 2012
No one can predict who will commit a crime but in some cities math is helping detect areas where crimes have the greatest chance of occurring. Police then increase patrols in these "hot spots" in order to prevent crime. This innovative practice, called predictive policing, is based on large amounts...

Being on the Cutting Edge

 Mathematics - Research News
 15 June 2012
Cutters of diamonds and other gemstones have a high-pressure job with conflicting demands: Flaws must be removed from rough stones to maximize brilliance but done so in a way that yields the greatest weight possible. Because diamonds are often cut to a standard shape, cutting them is far less...

Getting a Handle on Obesity

 Mathematics - Research News
 15 June 2012
Once a problem only in the developed world, obesity is now a worldwide epidemic. The overwhelming cause of the epidemic is a dramatic increase in the food supply and in food consumption not a surprise. Yet there are still many mysteries about weight change that can.t be answered either inside the...

Keeping Things in Focus - Part 2

 Mathematics - Research News
 05 October 2011
Some of the simplest and most well-known curves parabolas and ellipses, which can be traced back to ancient Greece are also among the most useful. Parabolas have a reflective property that is employed in many of today.s solar power technologies. Mirrors with a parabolic shape reflect all entering...

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