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A graph that shows the number of balls in and out of the vase for the first ten iterations of the problem. The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed to illustrate the paradoxical, or at least non-intuitive, nature of infinity.
The optimal proportional division problem is the problem of finding a proportional allocation that maximizes the social welfare among all possible proportional allocations. This problem currently has a solution only for the very special case where the cake is a 1-dimensional interval and the utility density functions are linear (i.e. u(x) = Ax ...
Four glasses or tumblers are placed on the corners of a square Lazy Susan.Some of the glasses are upright (up) and some upside-down (down). A blindfolded person is seated next to the Lazy Susan and is required to re-arrange the glasses so that they are all up or all down, either arrangement being acceptable, which will be signalled by the ringing of a bell.
The problem is equivalent to exact division in the following sense: For every n and k, a solution to unanimous-proportional division among n(k-1)+1 agents grouped into k families implies a solution to exact division among n agents with k pieces (and equal weights).
Fair cake-cutting is a kind of fair division problem. The problem involves a heterogeneous resource, such as a cake with different toppings, that is assumed to be divisible – it is possible to cut arbitrarily small pieces of it without destroying their value. The resource has to be divided among several partners who have different preferences ...
Proportional control, in engineering and process control, is a type of linear feedback control system in which a correction is applied to the controlled variable, and the size of the correction is proportional to the difference between the desired value (setpoint, SP) and the measured value (process variable, PV).
The median bowl ordered online and in person weighed about the same, according to the Thursday note, but the weight of the burrito bowls varied drastically in each category.
100 Up A game of bowls where the object is to reach a score of 100 shots.Usually used in games based on a proportional scoring system. 2 Metre mark The furthermost position that the jack can be placed following the lead bowler rolling the jack at the start of an end.