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Matlab R2014a version gives, -3.1175^0.5 = -1.7656 but (-3.1175)^0.5 = 0.0000 + 1.7656i Why?

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Matlab R2014a version gives, -3.1175^0.5 = -1.7656 but (-3.1175)^0.5 = 0.0000 + 1.7656i
Why?

回答(2 个)

Orion
Orion 2016-3-29
Because of the parenthesis.
The power operation is executed before the minus operation, so
-3.1175^0.5
is strictly equivalent to :
-(3.1175^0.5)
which is not the same as
(-3.1175)^0.5

Steven Lord
Steven Lord 2016-3-29
The power operator ^ has higher precedence than the unary minus operator - but parentheses () have higher precedence than either ^ or -.

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