MathGroup Archive 2003

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Super-Increasing List

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40438] Super-Increasing List
  • From: "flip" <flip_alpha at safebunch.com>
  • Date: Sat, 5 Apr 2003 04:00:35 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

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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