**Machine epsilon** gives an upper bound on the relative error due to rounding in floating point arithmetic. This value characterizes computer arithmetic in the field of numerical analysis, and by extension in the subject of computational science. The quantity is also called **macheps** or **unit roundoff**, and it has the symbols Greek epsilon or bold Roman **u**, respectively.

Read more about Machine Epsilon: Values For Standard Hardware Floating Point Arithmetics, Formal Definition, Arithmetic Model, Variant Definitions, How To Determine Machine Epsilon

### Other articles related to "machine epsilon, epsilon":

**Machine Epsilon**- Approximation Using Fortran

... In Fortran 90 and more recent standards

**machine epsilon**can be inquired by the intrinsic function

**epsilon**... selected_real_kind(15, 307) macheps =

**epsilon**(1.0_dp) An approximation in Fortran 77 is PROGRAM MACHINEEPSILON IMPLICIT NONE DOUBLE PRECISION MACHEPS MACHEPS ...

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“The momentary charge at Balaklava, in obedience to a blundering command, proving what a perfect *machine* the soldier is, has, properly enough, been celebrated by a poet laureate; but the steady, and for the most part successful, charge of this man, for some years, against the legions of Slavery, in obedience to an infinitely higher command, is as much more memorable than that as an intelligent and conscientious man is superior to a *machine*. Do you think that that will go unsung?”

—Henry David Thoreau (1817–1862)