Re: How to tell Mathematica to stop conditional testing in an If statment if one condition is niether True or False? McCarthy evaluation rules? 'and then' test?

• To: mathgroup at smc.vnet.net
• Subject: [mg69586] Re: How to tell Mathematica to stop conditional testing in an If statment if one condition is niether True or False? McCarthy evaluation rules? 'and then' test?
• From: dimmechan at yahoo.com
• Date: Sat, 16 Sep 2006 03:50:29 -0400 (EDT)
• References: <eebfu3\$5dt\$1@smc.vnet.net>

```***SameQ works as desired if b is symbolic or numeric with a value
different from 5.
Indeed

In[102]:=Quit

In[4]:=xc=Table[i,{i,1,3}]
x=5;
If[x===b&&xc[[10]]\[Equal]4,Print["True"],Print["False"],Print["Can't
decide"]]
Out[4]={1,2,3}
>From In[4]:=
False

***and

In[7]:=xc=Table[i,{i,1,3}]
x=5;
If[x===(b /. b -> 5))&&xc[[10]]\[Equal]4,Print["True"],
Print["False"],Print["Can't  decide"]]
Out[7]={1,2,3}
>From In[7]:=
False

But if you assign the value 5 to b you get again the same error
message.

In[10]:=xc=Table[i,{i,1,3}]
x=5;
If[x===(b/.b\[Rule]5)&&xc[[10]]\[Equal]4,
Print["True"],Print["False"],Print["Can't  decide"]]
Out[10]={1,2,3}
>From In[10]:=
Part::partw: Part 10 of {1, 2, 3} does not exist. More...
>From In[10]:=
Can't  decide

***But you can overcome this problem as it is shown below:

In[17]:=b=.

In[18]:=
xc=Table[i,{i,1,3}]
x=5;b=5;
If[b\[Equal]5,Print["False"],If[x===b&&
xc[[10]]\[Equal]4,Print["True"],Print["False"],Print["Can't
decide"]]]
Out[18]={1,2,3}
>From In[18]:=
False

In[19]:=
xc=Table[i,{i,1,3}]
x=5;b=8;
If[b\[Equal]5,Print["
False"],If[x===b&&xc[[10]]\[Equal]4,Print["True"],
Print["False"],Print["Can't  decide"]]]
Out[19]={1,2,3}
>From In[19]:=
False

In[20]:=
xc=Table[i,{i,1,3}]
x=5;b=a;
If[b\[Equal]5,Print["
False"],If[x===b&&c[[10]]\[Equal]4,
Print["True"],Print["False"]],Print["Can't  decide"]]
Out[133]={1,2,3}
>From In[133]:=
Can't  decide

Dimitris Anagnostou

Nasser Abbasi wrote:
> I can better describe this with simple example:
>
> ------------- code ------------
>
> Remove["Global`*"];
> xc = Table[i, {i, 1, 3}]
> x = 5;
> If[x == b && xc[[10]] == 4, Print["True"], Print["False"], Print["Can't
> decide"]]
>
> ----- end code -------------
> In the above, 'x==b' is neither True nor False, since 'b' has no numerical
> value.
>
> But what I want is when this happens, for Mathematica to NOT continue with
> the  testing if xc[[10]]==4  is True (because even if it is True, it will
> not change the outcome, which is can't decide.
>
> I am looking for something like 'and then'  which says to test the next
> condition only if the one just tested was true.
>
> The interesting thing is that if 'b' had a value, say 7, which makes the
> first test (the x==b) to be False, then Mathematica does the right thing,
> and will not try to check the xc[[10]]==4 condition.  I need it to do the
> same thing when also the result of the check is 'undecided', not just
> 'False' or 'True'.
>
> Is there a way to do this?  Notice in the example above, I get the error
> that xc[[10]] is out of bound, but still get the can't decide message.
>
> It is clear to me that the way Mathematica does it now is not the right way.
> I do not see why it tries to check for xc[[10]]==4 when it will not make a
> difference to the final result.
>
> any thoughts?
>
> thanks,
> Nasser

```

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