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#1 2017-01-19 05:24:42
- Mario23
- Member
- Registered: 2017-01-03
- Posts: 27
A peculiar inequality
Be the numbers
.If find the minimum of the sum .I tried to show that sum is >= than something but no luck.I tried using all the inequalities I know but I didn't use any which help,so I need your help guys
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#2 2017-01-19 10:30:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: A peculiar inequality
Please check the problem. I think you will need to declare that a1, a2, a3,...a100 >=0.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2017-01-19 16:06:50
- thickhead
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- Registered: 2016-04-16
- Posts: 1,086
Re: A peculiar inequality
Last edited by thickhead (2017-01-19 16:16:20)
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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#4 2017-01-19 18:03:15
- Mario23
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- Registered: 2017-01-03
- Posts: 27
Re: A peculiar inequality
How did you get it thickhead?
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#5 2017-01-19 18:29:38
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: A peculiar inequality
You do not think you need to declare those as >= 0?
It is obvious to see that
is not a minimum.For instance:
pick a1 = 10 and a3 = 10 with all the others being 0. This gives 20 for a1 + a2 + a3 +...+ then
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#6 2017-01-19 21:48:24
- thickhead
- Member
- Registered: 2016-04-16
- Posts: 1,086
Re: A peculiar inequality
But a1>=a2.=a3
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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#7 2017-01-20 00:55:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: A peculiar inequality
That does seem to change things, thanks for noticing that.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#8 2017-01-20 21:26:54
- thickhead
- Member
- Registered: 2016-04-16
- Posts: 1,086
Re: A peculiar inequality
This might be your homework problem.Answer having already been given, full solution can not be provided.but just the hints,keep as many non zero terms as possible with as little (possibly zero )gap between them as possible.
{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}
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