![]() ![]() Wolfram Language & System Documentation Center. "UnequalTo." Wolfram Language & System Documentation Center. Wolfram Research (2016), UnequalTo, Wolfram Language function. Wolfram Language & System Documentation Center.Cite this as: Wolfram Research (2016), UnequalTo, Wolfram Language function. "Unequal." Wolfram Language & System Documentation Center. Wolfram Research (1988), Unequal, Wolfram Language function, (updated 1996). Symbolic simplifiers like Simplify, FullSimplify and RootReduce can sometimes also be used to rigorously establish equality (including in the example just given) when Unequal cannot.Ĭite this as: Wolfram Research (1988), Unequal, Wolfram Language function, (updated 1996). For example, Unequal +2 Log ] ]- Erf ] ] ,0 ] returns evaluated, while calling PossibleZeroQ on its first argument returns True (together with an informative message indicating that a zero value could not be rigorously established). PossibleZeroQ can be used to indicate if a given expression has value in some cases where Unequal returns unevaluated.In addition to ordinary linear ASCII input, the Wolfram Language also supports full 2D mathematical input. This sign does not just mean equals like it does in normal mathematics. The Wolfram Language has a rich syntax carefully designed for consistency and efficient, readable entry of the Wolfram Language's many language, mathematical, and other constructs. Unequal also has an operator form UnequalTo. In Mathematica, there are many different commands that involve the equals sign. Equal (which may be input as expr 1= expr 2) is the converse of Unequal. The behavior of UnsameQ also differs from that of Unequal in that UnsameQ always evaluates to True or False, whereas Unequal may remain unevaluated in cases where equality cannot be resolved. In contrast to Unequal, UnsameQ differentiates between different representations of numbers for example, UnsameQ and UnsameQ both return True. UnsameQ (which may be input as expr 1=!= expr 2) returns True if expr 1 and expr 2 differ in their underlying FullForm representations and otherwise returns False. This makes the double equal sign the appropriate symbol to use in solving equations. Unequal is related to a number of other symbols.For exact numeric quantities, Unequal uses numerical approximations to establish inequality, which can be affected by the value of the global variable $Ma圎xtraPrecision. For example, 1.01`2!=1 returns False, while 1.01`3=1 returns True. Equality for numbers below machine precision is established based on agreement to within the precision of the lowest precision number. Numbers with machine precision ( MachinePrecision) or greater are considered equal if they differ in at most their last seven binary digits and unequal otherwise.The single-argument form Unequal returns True (as, slightly paradoxically, does the single-argument form Equal ). The multiple-argument form Unequal, which may also be input as expr 1!= expr 2!= …, returns True if none of the expressions expr i are numerically equal, False if any two are equal and unevaluated otherwise. Unequal may be input as expr 1!= expr 2 or using the \ character as expr 1 ≠expr 2. For example, Unequal )/2, GoldenRatio ] returns False, Unequal returns True, and Unequal returns unevaluated. 14: Descriptions: A description is a phrase of the form the term y which satisfies. Unequal returns True if expr 1 and expr 2 are numerically unequal, False if they are equal and unevaluated if equality cannot be established. The not-equals sign makes its appearance as a definition at 13.02.
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