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$MachinePrecision
$MinMachineNumber
$MaxMachineNumber
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$MachineEpsilon
$MachineEpsilon
gives the smallest machine-precision number which can be added to
1.0
to give a result that is distinguishable from
1.0
.
MORE INFORMATION
$MachineEpsilon
is typically
2
-
n
+1
, where
n
is the number of binary bits used in the internal representation of machine-precision floating-point numbers.
$MachineEpsilon
measures the granularity of machine-precision numbers.
EXAMPLES
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Basic Examples
(1)
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The result of adding 1 to
$MachineEpsilon
is distinct from 1:
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This does not work for any smaller machine precision number:
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Scope
(2)
Applications
(2)
Properties & Relations
(3)
Neat Examples
(1)
SEE ALSO
$MachinePrecision
$MinMachineNumber
$MaxMachineNumber
TUTORIALS
Machine-Precision Numbers
MORE ABOUT
Precision & Accuracy Control
Representation of Numbers
System Information
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© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 