archimedean

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a.

[L. Archimedeus.]
Of or pertaining to Archimedes, a celebrated Greek philosopher; constructed on the principle of Archimedes' screw; as, Archimedean drill, propeller, etc.

Archimedean screw, or Archimedes' screw, an instrument, said to have been invented by Archimedes, for raising water, formed by winding a flexible tube round a cylinder in the form of a screw. When the screw is placed in an inclined position, and the lower end immersed in water, by causing the screw to revolve, the water is raised to the upper end. Francis.


(mathematical) A number series is Archimedean if:

(∀x)(∀y)(∃n)(0 < x < yy < nx) Well-behaved numbers are Archimedean: take any two numbers, however far apart they are, then there is some number that you can multiply the smaller by to give a result greater than the larger. Non-standard analysis introduces infinitesimals of which this is not true.

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