Boolean logic: Difference between revisions

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==Basic mathematics use of Boolean terms==

Underlying the "language of mathematics" are boolean assumptions that are seldom explicitly stated. The following examples show the unstated boolean relationship.

{{Undue|date=August 2010}}

* In the case of simultaneous equations, they are connected with an implied logical AND:

::x4x + y = 2 ''and'' 2x - y = 2

::AND

::x - y = 2

* The same applies to simultaneous inequalities:

::x + y < 2

::AND

::x - y < 2

*The greater than or equals sign (<math>\ge</math>) and less than or equals sign (<math>\le</math>) may be assumed to contain a logical OR:

* Similarly, for simultaneous '''in'''equalities:

::X < 2

::x + y < 2 ''and'' x - y < 7

::OR

* Both the greater-than-or-equals and less-than-or-equals inequalities are most often implicitly have an ''OR'' boolean joining them:

::X = 2

::x &le; 2 ''and'' x = 4

* The plus/minus sign (<math>\pm</math>), as in the case of the solution to a square root problem, may be taken as logical OR:

* The plus/minus sign (<math>\pm</math>), as in the case of the solution to a square root problem, may be taken as logical OR:.

::WIDTH = 3

::Width &plusmn; 3 means

::OR

::WIDTHWidth = 3 ''or'' Width = -3

==English language use of Boolean terms==