How many moves are there in a game of chess




















After some intense thinking, he noticed that on average, in any position, there are about 30 legal moves you can make. Take for this illustrative example below:. Black to move has 37 possibilities to choose from. You can try it for yourself. Take any random position from any of your chess games and count how many legal moves each side has. It should be close around We now know that on average there are 30 legal moves each side can make.

I hope you get the gist. Now, the average game in a single chess match is worked out to be 40 moves long which is what Shannon suggested. Our galaxy is a medium sized galaxy. Think of it this way; next time you go to the seaside, grab a handful of sand, or dig a hole in the sand. Millions maybe? Now look at the whole beach and try to guess how many grains there are. It is thought that there are more stars in the universe than grains of sand on every beach on Earth. Most of those stars have at least one planet, often many more, orbiting.

So there are even more planets than stars Astronomers and Astrophysicists deal with lots and lots of data and as technology improves the amount of data collected increases. When it begins operation it will take more than panoramic images each night with a 3. Each night it will produce 20 TB of data. How big is a TerraByte? I hear you ask SO much data, you say? Because it is more than a human can cope with, trainable neural networks are needed to help with classifying objects and suggesting to Astronomers those that might be interesting to look at more closely.

The European Southern Observatory has developed Morpheus: a deep-learning framework that incorporates a variety of artificial intelligence technologies developed for applications such as image and speech recognition. To help astronomers, Morpheus will work pixel by pixel through the images looking for galaxies! An Older Morpheus result from , working with Hubble, revealed that here were 10 times more galaxies than previously thought. Researchers at Lancaster University have developed at system called Deep-CEE Deep Learning for Galaxy Cluster Extraction and Evaluation , a novel deep learning technique to speed up the process of finding galaxy clusters.

First discovered in by George Abell, galaxy clusters are rare but massive objects. Abell spent years scanning photographic plates with his eye and a magnifying glass and found 2, clusters. Galaxy clusters are important as they will help us understand how dark matter and dark energy have shaped our universe. Feb 1, 8. Pawn promotions make things even more complicated.

Feb 1, 9. Pretty awesome, right? Nov 22, Nov 23, Mr Einamar The counting of possible moves in chess is not a matter of knowing mathematics. Because you have not given him the right and conclusive conditions to meet.

I will stop here. But allow me another point Most probably that person doing the counting will use a calculator otherwise he might be considered a rare human specimen with a rotten mind. No Science will give you a right answer, it will give you the right approximate answer. Well, the answer to this question is very simple: There are "sooooo" many possible positions in chess and it gets complex as the game moves forward. Why would anyone NEED to know?

God might know - so we could pray for guidance. Thats it! I've sold my soul.. God moves the player, he in turn the piece. But what god beyond God begins the round Of dust and time and sleep and agony? As I write this column, a computer program called AlphaGo is beating the professional go player Lee Sedol at a highly publicized tournament in Seoul.

Sedol is among the top three players in the world, having attained the highest rank of nine dan. With this defeat, computers have bettered people in the last of the classical board games, a game known for both depth and simplicity. An era is over and a new one is beginning.

The methods underlying AlphaGo, and its recent victory, have startling implications for the future of machine intelligence. The ascent of AlphaGo to the top of the go world has been stunning and quite distinct from the trajectory of machines playing chess. Over a period of 10 years a dedicated team of hardware and software engineers, eventually hired by IBM, built and programmed a special-purpose supercomputer, named Deep Blue, that did one thing and one thing only—play chess by evaluating million board positions per second.

In a widely expected development, the IBM team challenged then reigning world chess champion Garry Kasparov. Chess is a classic game of strategy, similar to tic-tac-toe noughts and crosses , checkers draughts , reversi Othello , backgammon and go, in which players take turns placing or moving pieces. The rules of go are considerably simpler than those of chess.

Black and White sides each have access to a bowl of black and white stones and each place one in turn on a 19 by 19 grid. The intent of the game, originating in China more than 2, years ago, is to completely surround opposite stones. Such encircled stones are considered captured and are removed from the board. Out of this sheer simplicity great beauty arises—complex battles between Black and White armies that span from the corners to the center of the board.

Strictly logical games, such as chess and go, can be characterized by how many possible positions can arise, bounding their complexity. That is, after one turn, there are already b times b or b 2 moves that White needs to consider in her strategizing. With its breadth of possible moves each turn go is played on a 19 by 19 board compared to the much smaller eight by eight chess field and a typical game depth of moves, there are about , or 10 possible moves. This is a number beyond imagination and renders any thought of exhaustively evaluating all possible moves utterly and completely unrealistic.

Given this virtually illimitable complexity, go is, much more than chess, about recognizing patterns that arise when clutches of stones surround empty spaces. Such concepts, however, are much harder to capture algorithmically than the formal rules of the game.

Accordingly, computer go programs struggled compared with their chess counterparts, and none had ever beat a professional human under regular tournament conditions. Such an event was prognosticated to be at least a decade away. Its software was developed by a person team under the erstwhile chess child prodigy and neuroscientist turned AI pioneer, Demis Hassabis, out of his London-based company DeepMind Technologies, acquired in by Google.

Most intriguingly, the Nature article revealed that AlphaGo had played against the winner of the European go championships, Fan Hui, in October and won 5 to 0 without handicapping the human player, an unheard of event. The software combines good old-fashioned neural network algorithms and machine-learning techniques with superb software engineering running on powerful but fairly standard hardware—48 central processing units CPUs augmented by eight graphical processing units GPUs developed to render 3-D graphics for the gaming communities and exceedingly powerful for running certain mathematical operations.

At the heart of the computations are neural networks, distant descendants of neuronal circuits operating in biological brains.



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