RE: Sequence and Or
- To: mathgroup at smc.vnet.net
- Subject: [mg34213] RE: [mg34179] Sequence and Or
- From: "DrBob" <majort at cox-internet.com>
- Date: Thu, 9 May 2002 05:17:01 -0400 (EDT)
- Reply-to: <drbob at bigfoot.com>
- Sender: owner-wri-mathgroup at wolfram.com
On second thought, I doubt this feature has much benefit, unless it works in a case like Or@@expr where expr resolves to a long list of logical expressions. I'm wondering how that could be accomplished, and I fear it can't be. If this performance feature is limited to small numbers of arguments to Or... as many as you'd be willing to type... the benefit seems small. With large numbers of arguments, it seems we'd have to use While, or a similar construct. Bobby Treat -----Original Message----- From: Andrzej Kozlowski [mailto:andrzej at platon.c.u-tokyo.ac.jp] To: mathgroup at smc.vnet.net Subject: [mg34213] Re: [mg34179] Sequence and Or It seems to me this is just a matter of efficiency. Suppose you want to evaluate Or[p1,p2,p3,...,pn] for some statements p1, p2 ...pn. It is enough that just one pi is True for the answer to be true. So Mathematica evaluates each statement in turn and stops whenever it finds one that turns out to be true. This can produce a big gain in efficiency, particularly if you sensibly arranged the statements so that those more likely to be true come earlier. Of course for this sort of thing to be of any use you need to have the HoldAll attribute otherwise Mathematica would first evaluate all the statements even if only p1 was true and easy to check and the rest hard. Andrzej Kozlowski Toyama International University JAPAN http://platon.c.u-tokyo.ac.jp/andrzej/ On Wednesday, May 8, 2002, at 11:54 PM, DrBob wrote: > Thanks for the workaround! It makes me wonder, though, why Or should > have the HoldAll attribute at all. > > Bobby > > -----Original Message----- > From: Andrzej Kozlowski [mailto:andrzej at platon.c.u-tokyo.ac.jp] To: mathgroup at smc.vnet.net > Sent: Wednesday, May 08, 2002 5:27 AM > To: drbob at bigfoot.com > Cc: mathgroup at smc.vnet.net > Subject: [mg34213] Re: [mg34179] Sequence and Or > > Compare: > > In[19]:= > Or[Sequence@@{True,False,True}] > > Out[19]= > Sequence[True,False,True] > > In[20]:= > Or[Evaluate[Sequence@@{True,False,True}]] > > Out[20]= > True > > In[21]:= > Or[Sequence[True,False,True]] > > Out[21]= > True > > The point is the HoldAll attribute of Or. Because of it, when you enter > > Or[Sequence@@{True,False,True}] only a single argument is passed to Or > but Or with a single argument returns: > > In[22]:= > Or[x] > > Out[22]= > x > > > > > On Wednesday, May 8, 2002, at 02:57 PM, DrBob wrote: > >> When I evaluate the following... >> >> {True,False,True} >> Or@@% >> Sequence@@% >> Or[%] >> >> the outputs are: >> >> {True,False,True} >> True >> Sequence[True,False,True] >> Sequence[True,False,True] >> >> while I had expected: >> >> {True,False,True} >> True >> Sequence[True,False,True] >> True >> >> What am I missing? >> >> Bobby Treat >> >> >> >> >> > > >
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