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Ordinary differential equations can be solved numerically by analog computers, but partial differential equations cannot, which was very important for von Neumann when building the first computer of the so-called von Neumann architecture.<ref>"1.2 An automatic computing system is a (usually highly composite) device, which can carry out
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instructions to perform calculations of a considerable order of complexity—e.g. to solve a non-linear
The [[Heisenberg Uncertainty Principle|Heisenberg uncertainty principle]] for a particle does not allow a state in which the particle is simultaneously at a definite location and has also a definite momentum. Instead the particle has a range of momentum and spread in location attributable to quantum fluctuations.
partial differential equation in 2 or 3 independent variables numerically." Quoted from: "First Draft of a Report on the EDVAC" by John von Neumann, IEEE Annals of the History of Computing, Vol. 15, No. 4, pp.27-75, 1993.</ref>


 
An uncertainty principle applies to most of quantum mechanical operators that do not commute (specifically, to every pair of operators whose commutator is a non-zero scalar operator).
 
 
 
 
 
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The Heisenberg uncertainty principle for a particle does not allow a state in which the particle is simultaneously at a definite location and has also a definite momentum. Instead the particle has a range of momentum and spread in location attributable to quantum fluctuations.

An uncertainty principle applies to most of quantum mechanical operators that do not commute (specifically, to every pair of operators whose commutator is a non-zero scalar operator).