Chess Definition and 96 Threads

https://arstechnica.com/science/2025/01/complexity-physics-finds-crucial-tipping-points-in-chess-games/

Why is it so much hard to precisely estimate the number of possible games? Can a reliable quantum computer do this task? or do we need a universal computer? What ever universal computer may be, of course. https://perso.uclouvain.be/jean-charles.delvenne/WhatIsComputer.pdf

The Math challenge threads have returned! Rules: 1. You may use google to look for anything except the actual problems themselves (or very close relatives). 2. Do not cite theorems that trivialize the problem you're solving. 3. Do not solve problems that are way below your level. Some problems...

I'm curious whether LaTex is commonly used to display online discussions of bridge and chess? (Yes, if I investigated online Bridge or chess forums, I'd find the answer. However I hope someone who knows will save me the trouble.) Just a casual search for "LaTex for bridge deals" shows that...

It is universally admitted that error free play in Go requires enormously more information than error free play in chess. To define error free a bit, let us simply posit a complete table base for each game. Though little has been achieved with table bases for Go, in theory the problem is well...

https://www.cnn.com/2022/09/28/sport/chess-how-to-cheating-explainer-spt-intl/index.html

Given the huge popularity of chess in Russia, I thought the following might be significant. Firstly a TED talk given by ex World Chess Champion Gary Kasparov (who wrote the book "Winter is Coming" and remarked dryly that the sequel would have to be "Winter is Here" !) Modesty requires that one...

Worldchamp Carlsen (my hero) will most likely win it again after he already won two games. The remainder games played were mostly fighting draws. Nepomniachtchi now needs to attack even more which cannot be done without also giving chances to Carlsen. My bet is that Carlsen will win a few more...

The articles: https://lmcs.episciences.org/5328/pdf http://argo.matf.bg.ac.rs/publications/2013/2013-icga-krk-sat.pdf http://archive.ceciis.foi.hr/app/public/conferences/1/papers2012/dkb3.pdf KRK endgame is a win for white regardless of starting position, with the trivial drawing exception in...

The reply by @Vanadium 50 to thread by @PeroK about Using Python for Chess inspired me to try my hand at recreating that Star Wars chess scene. This is my somewhat ham-handed attempt. The "Chessmen" are only somewhat similar to the ones in the actual movie, But I wasn't going for a exact copy...

https://www.wired.com/story/bird-feed-seller-beat-chess-master-online-harassment/ An interesting article where a player came out of nowhere to beat a popular chess International Master online. The IM felt it was cheating, did some analysis, and reported his opponent to Chess.com. After some...

If we have 'N' advanced computers (where N-> infinity) each with exactly the same rating to begin with and make them play with each other for an infinite number of games, what would the shape of the probability density function of the ratings eventually look like?

So I mixed Stratego and Chess. How? Step 1. Take a chess board and an amount of opposing stratego pieces equal to the usual chesss setup. Step 2: Make or find stickers to put behind the stratego pieces that ID them as chess pieces, at least to you. The other player will have to make educated...

Personally I think it is chess. Which also makes it relatively safer to play. Video games are designed to suck up hours of time, while chess, if challenging enough, is such a mental workout that one game is enough. Both chess and video games can be addictive, but video games are often designed...

Are any members interested in a chess club/thread? It could involve both play and intellectual/"nerdy" chat and analysis.

Our school got a robot arm and I was thinking of teaching it to play chess. AI chess is a solved problem, so is moving the arm around. However, I was hoping to at least try to use regular pieces. It would be easy enough to do it with markers, but physical pieces would need to be identified and...

Eight queens puzzle - Wikipedia -- place eight chess queens on a chessboard so that none of them attack each other. It turns out that there are 92 solutions, though when one counts together positions related by chessboard symmetries, there are only 12 solutions. This problem has been modified...

While chess hasn't been solved yet, other games have. For example, I know that in in some games, like connect four, if both players play perfectly, the player who goes first will always win. On the other hand, some games, like tic tac toe, a perfect game will result in a draw; in fact, I...

You chess fans out there might find https://chess24.com/en/read/news/deepmind-s-alphazero-crushes-chess interesting. No domain-specific knowledge required!

I have always been on the skeptical, but not dismissive, end of judgments about achievemnts and rate of progress in this field. However, the following (please read through carefully) just completely blows my mind: https://en.chessbase.com/post/the-future-is-here-alphazero-learns-chess A self...

Homework Statement 2 squares are chosen at random from a chess board.What is the chance that these 2 squares will share exactly 1 corner? Homework Equations P=favourable possibilities/Total possibilities The Attempt at a Solution So,the total no of possibilities should be 64C2. Now,for...

Hi! :smile: There is a wonderful video which very briefly explains the progression from atoms to ending up programming a game of chess. I would like to understand, very schematically but with substance, what is going on when I program something in C/C++ backwards and forwards, from the...

there was a post here on PF about a chess position created by mathematics professor Sir Roger Penrose which computers could not solve. unfortunately the thread was locked so I made a new thread. < Mentor Note -- this thread is different, so the re-post is okay >[/color] it was the following...

The thought just struck my mind, while I was reading "The art and craft of problem solving", whether a game of chess can be topologically defended and is topologically invariant. For example a game play where only the pawn has been moved to E3 is some sort of topological figure and the initial...

Source: http://www.telegraph.co.uk/science/2017/03/14/can-solve-chess-problem-holds-key-human-consciousness/

Norwegian Magnus Carlsen just won the match against Russian Sergey Karjakin to remain the world chess champion. The last game ended when Carlsen issued an explosive queen sacrifice that is quite remarkable. KABLAM! Check it out.

Doing my combinatorics homework, I just thought that I've made a mistake. When counting the number of ways to place two black and one white rooks on a chess board, I placed the black rooks on black squares and the white one- on a white square? So I chose C(32,1) for the first took. Is that...

Homework Statement 4 Players (A, B, C, and D) enter a chess tournament. The probabilities of them winning each other have been calculated based on their previous games. The results are in the below table: \begin{array}{|c|cccc|} \hline\\ \\ & \text{A wins} & \text{B wins} & \text{C wins} &...

Homework Statement A chess master plays n games at a chess competition, each against a different opponent. Based on their past performances, we can estimate the probabilities of each opponent beating the master: p1, . . . , pn ∈ [0, 1]. Describe an algorithm, which given integer k returns the...

How many different sequences of plays (moves of pieces) are possible in the first ten moves of a chess game? I have seen numbers that range up to 30!, but I have no real idea how those numbers are derived or whether trhey are valid. In fact, I doubt if a factorial even has anything to do with...

I wrote a recursive function to calculate the number of the way for "horse" to move from one point to another in Chinese Chess in the following, but I cannot get the correct answer. My idea is to sum up the other 8(or less than 8) points' way toward the target. Thanks for any opinions in...

Homework Statement On how many ways the king can be moved from the bottom left field to the upper right field on the chess board such that such that for every move it is closer to the upper right field? Homework Equations -Combinatorics The Attempt at a Solution I assume it is diagonal path...

There is a story of the inventor of chess. The king wanted to reward him with riches, but he only asked for the following. One grain of wheat for the first square, two on the second, four on the third, doubling the amount for each square until 64 squares are accounted for. Questions 1) Design...

Hi everyone, This goes out to all our chess players. I just want to ask you the chess software programs that you use. Does any of you use a software that can record chess moves if you are playing tournaments. I was just wondering whether you can actually use an app or something to record moves...

A standard 8x8 chess board has but a lone rook in the bottom left corner. A rook a piece than can move any number of spaces either horizontally or vertically. If the rook can only move up and to the right, how many possible paths does it have to the top right corner? I think it's a pretty...

I love playing chess. I like playing blackmar diemer gambit and the ruy Lopez as white. As black,against white's e4 I play the Sicilian defense (dragon variation) and against 1.d4 I use Slav defense. What's your favorite chess opening? (are my openings good?)

From time to time I'll see someone on PF trying to set up some sort of system where members can play chess with one another, but the effort always seems to evaporate quickly. Personally, I go in phases, sometimes I'll go months on end without playing a single game, then I'll get the bug and...

Hello all, as the title states I'm trying to build an arduino powered chess board. The chess pieces will have magnets on the bottom and each square of the board will be equipped with a reed switch for detecting the presence of the magnetic field produced by the magnet. I recently tried this out...

I've started to get back into chess. I never had any formal training and was never very good. A friend of mine has got me playing against him via a phone app a few times a week. What is a good basic strategy for me to use? Especially interested in early game. Thanks!

All chess rating systems including the Elo rating system are based on a procedure called "scoring" which assigns a score of 1 for a win, 0 for a loss, and 1/2 for a draw. This procedure reduces the trinomial nature of chess game outcomes to a binomial variable and thereby greatly simplifies the...

I've googled this and it appears that there doesn't seem to be an exact number of games. Assume that no illegal moves are allowed, peices must start in their correct squares and each game lasts a total of 40 moves. Is there a way to work out exactly how many 40 move games exist? There are a...

Anybody here keeping track of the WCC 2013? 4 draws in the beginning and 2 wins for Carlsen! Anand must have panicked after the first defeat ,i feel he should have settled for a draw after his first defeat ,cool himself down and then may be go for a win. What might have happened ? his...

I remember that one year ago the World Chess Championship between Viswanathan Anand and Boris Gelfand attracted the attention of several members of MHB. Today a new Wolrd Chess Championship is started between Viswanathan Anand and the young Nowegian chess master Magnus Carlsen and I'm sure that...

I recently joined a free online chess website just out of bordem and I can't believe how amazing everyone is... So far I've played 10 games and only won 3. I'm losing against people with ~640 ranking, which must be low compared to a grandmasters 2800+ Every move I make, no matter how smart I...

Homework Statement Given a standard chess board consisting of 64 squares with each game taking a total of 40 moves. Calculate the total number of games which can be played. You are to assume a stalemate situation occurring on the 40th move a completed game.The Attempt at a Solution So there are...

I recently purchased a set of glass chess that are hollow and have sufficient space to fit a LED and some other components. I woul like to power and lit The LEDs (up to 32) with induction current by installing a small coil an a capacitor connected in parallel inside each chess piece. Another...

Imagine a 8x8 chess board, is it possible to place 8 pawns such that they are of different distances from one another?

To get better in chess faster? should i play against a computer often or should i play against other people ? how to avoid silly mistakes in chess? ,when i don't make them i can beat some of rated 1200 ,sometimes i lose someone like 800

I don't know about the current situation but earlier humans were able to beat computers at chess. The first major loss was I guess Kasparov against Deep Blue. But still I think humans still beat computers today. How is this possible? Computers can think far further than we humans can. They...

Homework Statement On a 8x8 chess board format an Integer program to optimize the amount of knights required such that every square is covered by at least one knight. Homework Equations I know of a similar problem where we use duality for the placing 5 queens such that the maximum...