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Linear speedup theorem, that the space and time requirements of a Turing machine solving a decision problem can be reduced by a multiplicative constant factor. Blum's speedup theorem , which provides speedup by any computable function (not just linear, as in the previous theorem).
More technically, it is the improvement in speed of execution of a task executed on two similar architectures with different resources. The notion of speedup was established by Amdahl's law, which was particularly focused on parallel processing. However, speedup can be used more generally to show the effect on performance after any resource ...
All functions have a computational complexity in time (i.e. they take time to execute) and in space. Although a space–time tradeoff occurs (i.e., space used is speed gained), this differs from some other optimizations that involve time-space trade-off, such as strength reduction, in that memoization is a run-time rather than compile-time ...
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The first page of The Time Machine published by Heinemann. Time travel is the hypothetical activity of traveling into the past or future. Time travel is a concept in philosophy and fiction, particularly science fiction. In fiction, time travel is typically achieved through the use of a device known as a time machine. The idea of a time machine ...
The construction is based on packing several tape symbols of the original machine M into one tape symbol of the new machine N. It has a similar effect as using longer words and commands in processors: it speeds up the computations but increases the machine size. How many old symbols are packed into a new symbol depends on the desired speed-up.
The Time Machine was reprinted in Two Complete Science-Adventure Books in 1951. A Victorian Englishman, identified only as the Time Traveller, tells his weekly dinner guests that he has experimental verification of a machine that can travel through time. He shows them what he says is a small model, and they watch it disappear.