Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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 smile

Offline

#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.

Offline

#3 2017-01-19 16:06:50

thickhead
Member
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.}

Offline

#4 2017-01-19 18:03:15

Mario23
Member
Registered: 2017-01-03
Posts: 27

Re: A peculiar inequality

How did you get it thickhead?

Offline

#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.

Offline

#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.}

Offline

#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.

Offline

#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.}

Offline

Board footer

Powered by FluxBB