12-12-2001 05:01									#91
	Re: Case for the defence Support Apolyton, buy Civilization III: Complete

quote: Originally posted by Big Crunch Edit. Damned idée fix.

I think that's idée fixe. Feminine.

Correct on the perfectness, and shade - correct on the Engilsh interpretation of Feigenbaum's number.

	12-12-2001 22:35									#92
	Tired of ads?

quote: Originally posted by Q Cubed Prove that Sqrt(11) does not exist as a rational number using only axiomatic methods.

If sqrt(11) was a rational number it could be written as P/Q with P&Q integer values wich can't be simplified anymore(ie: 5 and 21 ok,but 15 and 21 not since both still can be devided by 3).

So we have
sqrt(11)=P/Q
<=>11=P²/Q²
this means that P² can be devided by Q² so P² can be devided by Q.What means that P and Q have a at least a common factor BUT we stated that this isn't so=> sqrt(11) is no rational number.


easy
(this thing drove the Pythagorean school almost mad)

Shade

	13-12-2001 04:11									#93
	Support Apolyton, buy Call to Power 2

You forgot to prove that Sqrt(11) is not an integer. Easy enough, but it's a necessary step (otherwise you've also proven that sqrt(n) is irrational for all n natural numbers)

	13-12-2001 06:36									#94
	Support Apolyton or Terrorists Win

this is for a comp algorithm i'm trying to write....

1) find the general term for the sum of the first n numbers of the series

2) find the sum n --> infinity

1 - 1/9 + 1/45 - 1/189 ... + [(-1)^(n-1)]/(3^n-1)(2n - 1)

	13-12-2001 13:53									#95
	Support Apolyton, buy Alpha Centauri

quote: Originally posted by KrazyHorse You forgot to prove that Sqrt(11) is not an integer. Easy enough, but it's a necessary step (otherwise you've also proven that sqrt(n) is irrational for all n natural numbers)

[edit: put something really stupid here,but problems solved now ]

Why sqrt(11) isn't an integer=> based on intuition

9<11<16
take sqrt
3 since we know there are no integers between 3 and 4 sqrt(11) isn't an integer ergo Q >1(had to put that too in the previous post)

(btw this one(sqrt(11) is rather ambigious to prove sqrt(2) is clearer)

	13-12-2001 18:36									#96
	Browse Apolyton AD-FREE

quote: dividors(or whatever it is called in English

Denominator

	13-12-2001 23:07									#97
	Support Apolyton, buy Civilization: The Boardgame

strange...I'm glad I get my math in Dutch(although this sometimes gives problems for translations).

Still noone who found a way to create 24 by only using 1,3,4,6 and (,+,-,x,:,)



Shade

	14-12-2001 03:43									#98
	Support Apolyton

dammit i've gotten both 23 and 25 but not 24....

	14-12-2001 15:46									#99
	Browse Apolyton AD-FREE

It really isn't that hard.(just think what multiplication will give you 24 and think how you can write it)

quote: this is for a comp algorithm i'm trying to write.... 1) find the general term for the sum of the first n numbers of the series 2) find the sum n --> infinity 1 - 1/9 + 1/45 - 1/189 ... + [(-1)^(n-1)]/(3^n-1)(2n - 1)]

Since it's for a computer program just use the recursive one and for nr2 never mind infinity that's something a computer can't handle==> let the loop go until
[(-1)^(n-1)]/(3^n-1)(2n - 1)]<10^x (and choose your x according to the accuracy)
(or you could try something goniometric)

Shade

	15-12-2001 03:30									#100
	Support Apolyton buy from Amazon

well the whole purpose is that i won't have to loop with a general formula....

the obvious answer is 4 x 6 x 1^3 but i don't think i can use exponents....

	15-12-2001 14:22									#101
	Put an end to popups!

quote: the obvious answer is 4 x 6 x 1^3

Well it is 24

quote: but i don't think i can use exponents....

And you are right here to so I'm sorry this isn't the right answer.
(but you are getting very close,think of other ways to write 4x6)

Shade

	15-12-2001 14:27									#102
	Inflate your Upload Space

Give us the damn answer already.

I get a sneaking suspicion this is a trick question.

	15-12-2001 14:35									#103
	Enter the AD-FREE zone

quote: c) 0.00000007151=P of W the NL

0.00000007151=Probability of Winning the National(?) Lottery

It's the same odds as the 6/49 over here; 1/13900000 or so

	15-12-2001 15:11									#104
	Support Apolyton, buy Call to Power 2

quote: Originally posted by KrazyHorse Give us the damn answer already. I get a sneaking suspicion this is a trick question.

tsjtsjtsj

6/(1-3/4)=24


Don't say that it is so hard c'mon.(no need for differential equations,no need for transformation to Besselfunctions,just plain simple baby math.)

Shade

	16-12-2001 06:54									#105
	Increase the size of your Attachments

F#ck.

	16-12-2001 15:37									#106
	Support Apolyton buy from Amazon

quote: F#ck.

I know the feeling,when I found the solution after an hour of torturing my brain,I really wanted tohit myself,so easy

Shade

	16-12-2001 16:16									#107
	Increase Your PM Length

I didn't know you were allowed to use ()'s and /'s more than one time, else I would easily made it.

	16-12-2001 16:34									#108
	Support Apolyton, buy Civilization: The Boardgame

quote: Originally posted by uncle_funk I didn't know you were allowed to use ()'s and /'s more than one time, else I would easily made it.

seems like you missed something,my initial post stated:

quote: maybe you like this one: create 24 by using +,-,x,: and the numbers 1,3,4,6 You may only use the numbers 1 time each and you have to use them 1 time each.

Oeps...

Shade

	16-12-2001 20:17									#109
	Support Apolyton

quote: create 24 by using +,-,x,:

Thought you were obliged to use all characters.

And it said nothing about allowance of paranthesis.

	16-12-2001 22:20									#110
	Support Apolyton, buy Call to Power 2

quote: Originally posted by KrazyHorse quote: c) 0.00000007151=P of W the NL 0.00000007151=Probability of Winning the National(?) Lottery It's the same odds as the 6/49 over here; 1/13900000 or so

Yep!

	16-12-2001 22:26									#111
	Support Apolyton, buy Galactic Civilizations: Deluxe Edition

stop making excuses bah!

nice trick... i was thinking something like that... but i was adding down there instead of subracting so it would never come out right.....

	16-12-2001 22:50									#112
	Remove this text

quote: Originally posted by uncle_funk quote: create 24 by using +,-,x,: Thought you were obliged to use all characters. And it said nothing about allowance of paranthesis.

Now I get the impression you are looking for an excuse,to me it looks clear that you are only allowed to use the basic math-operations.(else you could start using powers,Faculties,...)

Shade

	16-12-2001 22:59									#113
	Support Apolyton, buy Civilization III: Complete

quote: Originally posted by Chowlett k) 6=RS in FD

Regular Shapes in Four Dimensions

	18-12-2001 01:05									#114
	Support Apolyton, buy Civilization 2

So Chowlett, any chance of the answers to the questions. I am particularly puzzled by the 3.1415... question. Sure its the beginnings of pi, but what does LN mean?