Re: MemberQ

• To: mathgroup at smc.vnet.net
• Subject: [mg68526] Re: MemberQ
• From: Peter Pein <petsie at dordos.net>
• Date: Wed, 9 Aug 2006 04:18:31 -0400 (EDT)
• References: <eb9pkt\$t4j\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Bruce Colletti schrieb:
> Re Mathematica 5.2.0.0.
>
> Since 0.7 is in the set {0.0, 0.1, 0.2,..., 0.9, 1.0}, why does MemberQ[Range[0., 1., .1], .7] return False?
>
> Thankx.
>
> Bruce
>

It returns False, because 0.7 is definitely _not_ a member of
In[1]:= Range[0.,1.,.1]//InputForm

Out[1]//InputForm=
{0., 0.1, 0.2, 0.30000000000000004, 0.4, 0.5, 0.6000000000000001,
0.7000000000000001, 0.8, 0.9, 1.}

Don't expect exact results, when using inexact numbers.

MemberQ[lst,elm] looks for exactly the same as elm in lst. You can write
"very similar" reals to be equal:

In[2]:= sloppyMemberQ = Cases[#1, x_ /; x == #2, 1, 1] =!= {} & ;
In[3]:= sloppyMemberQ[Range[0., 1., 0.1], 0.7]
Out[3]= True

Peter

```

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