We know that mathematically and linguistically, Approximately equal “≈” doesn’t mean total equality, but an almost equality, thus the sign “≈” can be used interchangeably with that of unequal/different “≠”. E.g. : 3.95 is approximately equal to 4, but 3.95 is still absolutely different from 4.
But if we suppose the
existence of an approximately unequal “≉” symbol, it
will have different meanings depending on whether it’s approached from a
linguistic view or a mathematical one:
·
Linguistically: approximately unequal “≉” doesn’t mean
total unequality, but an almost unequality, thus the sign “≉” can be used interchangeably with that of equality/indifference
“=”. E.g. : A is approximately/almost unequal to B, but A is still equal
to B;
·
Mathematically: asserting that A and B are approximately unequal implies
there is at least an infinitesimal epsilon intrinsic difference between
A and B, which would render them not purely mathematically equal like a 3 would
be with a 6/2; thus approximately unequal is more similar to approximately
equal (and its interchangeability
with “≠”) .
Browsing
the internet for “approximately unequal” gave results[1] [2] [3]that showcase:
·
The existence of the approximately unequal’s symbol used here
instead of the identical one we came up with independently before (& used
in the form of a miniature Paint image);
·
And also that it has the connotation “Not Almost Equal To”, which
inclines that this symbol usage is more aligned with the former supposition
than the latter.
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