flat assembler
Message board for the users of flat assembler.
Index
> Heap > could a computer solve this one? Goto page Previous 1, 2, 3 Next 
Author 

tthsqe
alessandro95:
nono, there is no guarantee that the lagrange polynomial though n points is integervalued on all integers. This integervaluedness condition is what makes the problem interesting. MHajduk, yes, infact my current bound on the min degree is Code: 2 < min degree <= 96086061 but in order to verify your claim about degree 3, you have to produce a polynomial f(x) of degree 3 that passes through the three given points and is an integer for any integer value of x. In fact, there is no such degree 3 polynomial. Last edited by tthsqe on 10 Jan 2014, 22:16; edited 2 times in total 

10 Jan 2014, 22:04 

MHajduk
[...]
Last edited by MHajduk on 10 Jan 2014, 22:37; edited 1 time in total 

10 Jan 2014, 22:10 

tthsqe
There is no polynomial of infinite degree  why not just take f(x) = a for that example?
I have just stated that there is a polynomial of degree 96086061 that does satisfy all of our conditions. The question is if you can find a polynomial of smaller degree that also satisfies of all of the conditions. 

10 Jan 2014, 22:15 

MHajduk
tthsqe wrote: but in order to verify your claim about degree 3, you have to produce a polynomial f(x) of degree 3 that passes through the three given points and is an integer for any integer value of x. 

10 Jan 2014, 22:15 

MHajduk
tthsqe wrote: There is no polynomial of infinite degree 

10 Jan 2014, 22:19 

alessandro95
MHajduk wrote:
You didn't, and the polynomial I posted in the previous page should satisfy you, but tthsqe wanted a polynomial that is integer valued for every integer, but I have no idea on how to build one 

10 Jan 2014, 22:22 

MHajduk
alessandro95 wrote:


10 Jan 2014, 22:29 

tthsqe
alessandro95, I'll let you think about how to build such polynomials and get the degree bound 3547. btw, how is your chess engine coming along?


10 Jan 2014, 22:36 

HaHaAnonymous
[ Post removed by author. ]
Last edited by HaHaAnonymous on 28 Feb 2015, 18:33; edited 1 time in total 

11 Jan 2014, 00:56 

sleepsleep
i just thought of this,
if i could let say give a set of numbers, ten thousand of 4 digits (from lottery) numbers from each week draw, could i predict the next first prize number through maths? or could maths forms formula or relationship on ten thousand of 4 digits numbers? 

13 Jan 2014, 15:27 

HaHaAnonymous
[ Post removed by author. ]
Last edited by HaHaAnonymous on 28 Feb 2015, 18:33; edited 2 times in total 

13 Jan 2014, 15:30 

AsmGuru62
Lottery is unpredictable with any math.
Otherwise, it is not profitable business. I run 10,000 lottery sets (7 out of 49) every week (based on Mersenne Twister) and I never got anything significant, no matter what I do: 1. Sum of numbers must fall in some range 2. Exclude last week numbers from the sets 3. Previous weeks statistics... etc.  there are a lot of articles on the Web about "winning" the lottery, but none of them worked. Doing this for almost 2 years now  nothing. I guess, I am not as lucky as other guys. 

13 Jan 2014, 15:39 

tthsqe
sleepsleep. do you sign up for determinism? If so, you should be able to believe that if you knew the position of every elementary particle in the lottery machine, then the numbers it will pick are knowable in some sense. However, I agree that the numbers picked from previous weeks won't help you out here.
Also, don't play the lottery. It has been said that it is a tax on the mathematically ignorant. 

13 Jan 2014, 15:52 

whakamaru
how does MHajduk display upsidedown digits?
The correct answer is.... No, a PC could not? Unless it has upsidedown options? So, how do codebreaker spooks work? Do they have a huge library of every language ever written, Chinese, Japanese, Koren, Arabic etc scripts? The first replier... keep taking the medication please 

13 Jan 2014, 20:31 

tthsqe
Well, my computer surely didn't solve it. I asked the question in a very clear voice, and it didn't even respond.


13 Jan 2014, 21:22 

typedef
tthsqe wrote: Well, my computer surely didn't solve it. I asked the question in a very clear voice, and it didn't even respond. Yes. And remember that computers do what they are told. If they can't process a request, it' because they were never made to do so. 

13 Jan 2014, 22:51 

matefkr
I still give too much of a fuck about it.


14 Jan 2014, 00:37 

matefkr
tthsqe is approaching it the right way.


14 Jan 2014, 00:39 

HaHaAnonymous
[ Post removed by author. ]
Last edited by HaHaAnonymous on 28 Feb 2015, 18:36; edited 1 time in total 

14 Jan 2014, 01:05 

Goto page Previous 1, 2, 3 Next < Last Thread  Next Thread > 
Forum Rules:

Copyright © 19992020, Tomasz Grysztar.
Powered by rwasa.