Grasshopper problem yields insight into quantum theory

(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. ...

How to cut your lawn for grasshoppers

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 ...

Grasshopper jumping on Bloch sphere finds new quantum insights

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 ...

Ecologists suggest it is time to rethink the modern lawn

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 ...

Lawn care practices across the nation vary more than expected

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 ...

Water quality improves after lawn fertilizer ban, study shows

(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 ...

Your lawn could help save the bees

Over the past few decades, pollinators have been in decline worldwide, which is concerning because 70% of crops used for human food depend on pollinators. Turfgrasses—used for most residential lawns—often take some of ...

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