15261 Players currently online!
Man vs. Machine - good luck!
Turn-based games at any time!
Vote for the best move to win!
Do you have what it takes?
Sharpen your tactical vision!
Get advice and game insights!
Learn from top players & pros!
View millions of master games!
Your virtual chess coach!
Perfect your opening moves!
Test your skills vs. computer!
Find the right private coach!
Can you solve it each day?
Bring it all together!
Beginners, start here!
Make friends & play team games!
News from the world of chess!
Search all Chess.com members!
Find local clubs & events!
Who's the best of your friends?
Read what members are saying!
Many people have tried to come up with totally objective mathematical chess formulas, but could there be any mathematical chess formulas that are not completely objective?
A formula generally takes input, X, and produces output, Y. More generally, the input may be a series of variables, X1, X2, ... Now what is it that your formula would produce? The best move, taking as input the board position? A prediction for which player will win? In how many moves? A formula for ratings?
THANKS FOR THE REPLY
I aim to please!
There is already a mathematical formula (Algorithm) to generate the optimal move in any chess position. The only problem is that calculating it requires more computing power than mankind will likely ever have, so chess engines have to estimate the best move because they cannot search all possible game positions. This algorithm can play a perfect game of tic-tac-toe however, since the computing power necessary to do so is minimal. It's called a mini-max search, look it up on wikipedia. Mathematically, it indeed plays a perfect game of chess, its implementing the mathematics that's the problem.
Of course, the minimax strategy is ideal against intelligent opponents, but given some distribution of playing abilities of opponents, maybe some Bayes solution would be preferable in some cases. I know that at least a few members out there will understand what I mean by this. I love game theory & decision theory!
That's a not a mathematical formula, that would be the attempt to map out every possible combination on the chess board, thanks for the comment though, and I know that you are partially right!
I aim to please! Thanks, that's cool!
Thank you, can you please expand on your comment, that was very interesting!
What would such an equation need? First off, what possible moves you can make. Then, it would need a list of demands it would have to meet. Then, it has to weigh those moves.
That is what an algorithm does. Basically, it is a series of yes/no questions, put into math.
But then again, my understanding of math doesn't really go much further than 1st year university applied statistics for behavioural sciences.
I think that there should be an algorithm that doesn't look ahead of back, and doesn't learn from experience, but just makes a calculated decision based off the current position on the board.
There are such algorithms (any positional evaluation routine will do). They are not as good as algorithms that look ahead (with positional evaluation at the leaf nodes).
yah it can be done it should be logially made as by calculating defence and offence of the opponent and thereby the formula gives the best move of a piece. ie priority of the piece and best square for the piece eg movement of the pieces are given if pawn in a2 its movement are given by a formula (a-1)(2+1)=0 and (a+1)(2+1)=b3 so formula for pawn can be made as (X+or-1)(Y+1) X,Y are the position vertically and horizontally respectively so in this way it could be done
Have you ever been stalked or harassed by a Chess.com member?
by RonaldJosephCote a few minutes ago
Time Control Changes?
by a1b2c3x9y6z3 a few minutes ago
i have not found a chess teacher
by kinghunter75 5 minutes ago
Europe Respects Chess More Than USA?
by ChezBoy 6 minutes ago
YEA WHAT!! CHESS COMMUNITY
by huluvuz 6 minutes ago
Can someone active take over my group and run it?
by MythBulletChess 7 minutes ago
I can hoenstly say I'm disgusted
by huluvuz 9 minutes ago
I need an opening against 1. e4
by TomHaegin 12 minutes ago
by Congruity 14 minutes ago
Online Chess Engines
by Texo 15 minutes ago
Why Join | Chess Topics |
Help & Support |
© 2014 Chess.com
• Chess - English
We are working hard to make Chess.com available in over 70 languages. Check back over the year as we develop the technology to add more, and we will try our best to notify you when your language is ready for translating!