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Re: How to get elements satisfying specific condition from a list

  • To: mathgroup at smc.vnet.net
  • Subject: [mg123397] Re: How to get elements satisfying specific condition from a list
  • From: Bob Hanlon <hanlonr357 at gmail.com>
  • Date: Mon, 5 Dec 2011 05:16:56 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Avoid using initial capital letters for variable names. Use Set ( = )
rather than SetDelayed ( := )  for defining something that will not
change from one call to the next. Select and Cases are equivalent for
these simple examples:

b = Table[{x, y}, {x, 1, 6}, {y, 1, 6}];

Select[Flatten[b, 1], Total[#] > 9 &]

{{4, 6}, {5, 5}, {5, 6}, {6, 4}, {6, 5}, {6, 6}}

Cases[Flatten[b, 1], _?(Total[#] > 9 &)]

{{4, 6}, {5, 5}, {5, 6}, {6, 4}, {6, 5}, {6, 6}}

Select[Range[9], Sqrt[#] > 2 &]

{5, 6, 7, 8, 9}

Cases[Range[9], _?(Sqrt[#] > 2 &)]

{5, 6, 7, 8, 9}

However, Sqrt[#] > 2& is more simplely written as # > 4&


Bob Hanlon


On Sun, Dec 4, 2011 at 2:51 AM, e-changb <e-changb at hanmail.net> wrote:
> Hi, please help me if you can.. Let
>
> B:= Table[{x, y}, {x, 1, 6}, {y, 1, 6}]
>
> It is clear that B has 36 elements.
>
> I want to get the list of elements satisfying
> 'the first component + second component is bigger than 9'
>
> so that the answer is
>
> {{5,5},{5,6},{6,5},{6,6}}.
>
> In fact, I have no idea for following even simpler problem. : Let A be a set of all natural numbers less than 10. Find every element whose squre root is bigger than 2. (needless to say the answer is {5,6,7,8,9})
>
> Can you help me ?
>



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