(Phys.org)—Like many mathematical puzzles, the grasshopper problem is simple to state but difficult to solve: A grasshopper lands at a random point on a lawn of area 1, then jumps once, a fixed distance, in a random direction. ...
Picture a grasshopper landing randomly on a lawn of fixed area. If it then jumps a certain distance in a random direction, what shape should the lawn be to maximise the chance that the grasshopper stays on the lawn after ...
Mathematics
Nov 22, 2017
6
177
The American residential lawn is, for many, an iconic landscape and about half of homeowners in the U.S. use fertilizer to keep their yards green and lush. Some proportion of the nitrogen in this fertilizer enters the broader ...
Environment
Oct 18, 2023
0
55
Scientists at the National Renewable Energy Laboratory (NREL) have experimentally synthesized a nitride perovskite that previously only existed in theory and measured its properties in collaboration with researchers at the ...
Materials Science
Dec 20, 2021
0
33
New research at the University of Warwick has (pardon the pun) put a new spin on a mathematical analogy involving a jumping grasshopper and its ideal lawn shape. This work could help us understand the spin states of quantum-entangled ...
Quantum Physics
Aug 10, 2020
0
51
An international team of researchers that includes the Food and Agriculture Organization of the United Nations has conducted an impact assessment of the huge amounts of human-associated nitrogen that are released into the ...
A pair of urban ecologists, one from Australia, the other Sweden, suggests in a Perspective piece published in the journal Science that it might be time to rethink the idea of the modern lawn. In their paper, Maria Ignatieva ...
Rain or shine has new meaning thanks to an innovative, inexpensive and simple tactic developed by researchers at Florida Atlantic University that will really change how people think about watering their lawns. The tactic? ...
Environment
Jun 20, 2017
2
571
How people care for urban, suburban and rural lawns – the nation's second biggest crop behind corn – is less consistent than believed, according to scientists with the U.S. Forest Service, Clark University, the Cary Institute ...
Environment
Mar 10, 2014
0
0
(PhysOrg.com) -- In an effort to keep lakes and streams clean, municipalities around the country are banning or restricting the use of phosphorus-containing lawn fertilizers, which can kill fish and cause smelly algae blooms ...
Environment
Aug 17, 2009
2
0
