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Re: Super-Increasing List

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40455] Re: Super-Increasing List
  • From: bobhanlon at aol.com (Bob Hanlon)
  • Date: Sun, 6 Apr 2003 04:34:25 -0400 (EDT)
  • References: <b6m04c$efg$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

And @@ Thread[Drop[FoldList[#1 + #2 &, 0, list], -1] < list]


Bob Hanlon

In article <b6m04c$efg$1 at smc.vnet.net>, "flip" <flip_alpha at safebunch.com>
wrote:

<< 
Subject:	Super-Increasing List
From:		"flip" <flip_alpha at safebunch.com>
To: mathgroup at smc.vnet.net
Date:		Sat, 5 Apr 2003 07:20:44 +0000 (UTC)

Hello,

does a command or module exist which can test a list of values and determine
if it is a super-increasing list?

A super-increasing list satifies the conditions:

a.  the list is in increasing order
b.  each element of the list is greater than the sum of it's previous
elements

Example:

list = {2, 3, 7, 15, 31}

So check:

a.  It is in  increasing order and
b.   3 > 2, 7 > 3+ 2, 15 > 7 + 3 + 2 and 31 > 15 + 7 + 3 + 2,

hence the list is super-increasing.

Thanks for any inputs, Flip

To email me, remove "_alpha".














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