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efficiently testing a list

• To: mathgroup at smc.vnet.net
• Subject: [mg122514] efficiently testing a list
• From: zb <zaeem.burq at gmail.com>
• Date: Sun, 30 Oct 2011 04:25:09 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Consider the list of pairs:

List = Table[ {a[i],b[i]} , {i,1,N} ].

or

List = { {a[1],b[1]} , {a[2],b[2]} , {a[3],b[3]} , ... ,
{a[N],b[N]} },

and a given function f[a].

What is the quickest way of testing if all elements of List satisfy
f[a[i]] < b[i].

• Follow-Ups:
  • Re: efficiently testing a list
    • From: DrMajorBob <btreat1@austin.rr.com>
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    • From: Bob Hanlon <hanlonr357@gmail.com>