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. ...

Shifting boundaries and changing surfaces

New research published in the Proceedings of The Royal Society A by members of the Mathematical Soft Matter Unit at the Okinawa Institute of Science and Technology Graduate University examines the energies at work in ...

Overwhelming evidence? It's probably a bad thing

The old adage that says "If it sounds too good to be true, it probably is" has finally been put to the test – mathematically – in research led by the University of Adelaide.

How close to invisible can a mirror be?

(Phys.org)—In 2011, mathematicians Alexander Plakhov and Vera Roshchina proved that objects with mirror surfaces cannot be perfectly invisible. Now in a new study, Plakhov has returned to the problem, asking just how close ...

Weird mathematical method holds up to testing

Twenty-two years after it was first proposed, mathematicians from Massey University, New Zealand, the Norwegian University of Science and Technology, Norway and La Trobe University, Australia have demonstrated why an unconventional ...

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