(a + b) + c ≠ a + (b + c)

2018 8 30
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更新时间：2018 8 30
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I'm new to Matlab
Is there any way to find a, b and c so that (a + b) + c ≠ a + (b + c) I know addition is not associative in floating point, but is there any way to do that in Matlab?

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David Goodmanson
David Goodmanson 2018-8-30
编辑：David Goodmanson 2018-8-30

2 个投票

Hi peluca6,
try 0.1 0.2 0.3
These situations are not hard to find. If you just take three random floating point numbers between 0 and 1,
a = rand
b = rand
c = rand
(to make a vector or matrix of random numbers, see 'help rand') and take a look at the quantity
((a+b)+c) - (a+(b+c))
it is nonzero about 17% if the time.

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