A new Shabbat-friendly technology, KosherSwitch, uses randomly timed light pulses to create various safeks, so that flipping the switch does not hallachically count as switching the light on, even in terms of gerama. The process is explained on their website.
Different people mean different things when they say "random numbers" in mathematics and in the sciences. Asking a person to choose a random number, for example, will give rise to a distribution of numbers with certain definite biases- for instance, humans are more likely to repeat numbers. A short analysis of random number generation appears here: http://en.wikipedia.org/wiki/Random_number_generation
My question is whether anyone has written a definition of what the word "random" means in a hallachic context. I assume that a hallachic standard of randomness would be more lax than a standard of randomness in crytography, but I'm not sure just how lax. In particular, if somebody could write a computer programme to guess the pulse times with 99% accuracy, would that render KosherSwitch's patent non-Shabbat-safe?