Abuse of notation

[share]

In mathematics,
abuse of notation occurs when an author uses a mathematical notation
in a way that is not entirely formally correct, but
which might help simplify the exposition or suggest the correct intuition
(while possibly minimizing errors and confusion at the same time).[1]

However,
since the concept of formal/syntactical correctness depends on both time
and context,
certain notations in mathematics that are flagged as abuse in one context could be
formally correct in one or more other contexts.

Time-dependent abuses of notation may occur when novel notations are introduced to
a theory some time before the theory is first formalized;
these may be formally corrected by solidifying and/or otherwise improving the theory.

Abuse of notation should be contrasted with misuse of notation, which does not have
the presentational benefits of the former and should be avoided
(such as the misuse of constants of integration[2]).

Wiki

[share]

ทำนองเดียวกับกระทู้

1+1 = 0 ?

27 มิถุนายน 2017

หรือ

ในกรณี ภาษาเขียนโปรแกรม

A = A+B