Their study builds on a well-known insight from Edward Lorenz of MITwho, in 1961, wished to repeat one of his weather simulations using a simple computer model but got quite different results because of a tiny rounding error in the numbers he fed into the computer.
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The richness of the real world is entrained with irrational numbers which cannot be represented on any digital computer (‘and will not be representable on a quantum computer either’, he adds). ‘For Lorenz, it was a very small change in the last few decimal places in the numbers used to start a simulation that caused his diverging results,’ he says. ‘What neither he nor others realised, and is highlighted in our new work, is that any such finite (rational) initial condition describes a behaviour which may be statistically highly unrepresentative’.
Stop breadboarding and soldering – start making immediately! Adafruit’s Circuit Playground is jam-packed with LEDs, sensors, buttons, alligator clip pads and more. Build projects with Circuit Playground in a few minutes with the drag-and-drop MakeCode programming site, learn computer science using the CS Discoveries class on code.org, jump into CircuitPython to learn Python and hardware together, TinyGO, or even use the Arduino IDE. Circuit Playground Express is the newest and best Circuit Playground board, with support for CircuitPython, MakeCode, and Arduino. It has a powerful processor, 10 NeoPixels, mini speaker, InfraRed receive and transmit, two buttons, a switch, 14 alligator clip pads, and lots of sensors: capacitive touch, IR proximity, temperature, light, motion and sound. A whole wide world of electronics and coding is waiting for you, and it fits in the palm of your hand.
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