Re: Selecting numbers with all odd digits
- To: mathgroup at smc.vnet.net
- Subject: [mg22253] Re: [mg22170] Selecting numbers with all odd digits
- From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
- Date: Sat, 19 Feb 2000 01:33:57 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
I noticed that in a fit of blindeness I put a spurious ==True into a predicate. The correct code is of course: Select[ Range[699], And @@ OddQ[IntegerDigits[#]]&] -- on 2/17/00 4:30 PM, Andrzej Kozlowski at andrzej at platon.c.u-tokyo.ac.jp wrote: > on 00.2.17 3:23 PM, Tom De Vries at tdevries at shop.westworld.ca wrote: > >> Hello all, >> >> In one of the math classes I am teaching we are doing some work with >> permutations and combinations. One question in the text was, "how many >> positive integers less than 700 have all odd digits?" >> >> I had done the question "by hand" and then wondered how to use Mathematica >> to demonstrate that the solution was the correct one. >> >> I am still very far down on the learning curve in most things, but I managed >> to bludgeon my way to an answer (thankfully the same as mine!) >> >> Select[ >> >> Range[699], >> >> Union[ OddQ [ IntegerDigits[#]]] == {True} & >> >> ] >> >> I am sure my trial and error method can be improved upon. I am not talking >> speed as much as simply using Mathematica in a way that makes sense and >> would be more logical?? >> >> Thanks for any suggestions might have! >> >> Tom De Vries >> Edmonton, Alberta >> Canada >> >> > > Your code is basically fine. The following seems to me just a little bit > more natural and also somewhat faster: > > > In[5]:= > Select[ Range[10^5], And @@ OddQ [ IntegerDigits[#]] == True & ]; // Timing > Out[5]= > {13.7167 Second, Null} > In[6]:= > Select[Range[10^5], Union[ OddQ [ IntegerDigits[#]]] == {True} & ]; // > Timing > Out[6]= > {23.7 Second, Null} > > -- > Andrzej Kozlowski > Toyama International University > Toyama, Japan > http://sigma.tuins.ac.jp/ > > Andrzej Kozlowski Toyama International University JAPAN http://sigma.tuins.ac.jp