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In mathematical terms, Hamming codes are a class of binary linear code. For each integer r ≥ 2 there is a code-word with block length n = 2r − 1 and message length k = 2r − r − 1. Hence the rate of Hamming codes is R = k / n = 1 − r / (2r − 1), which is the highest possible for codes with minimum distance of three (i.e., the minimal ...
Hamming (7,4) In coding theory, Hamming (7,4) is a linear error-correcting code that encodes four bits of data into seven bits by adding three parity bits. It is a member of a larger family of Hamming codes, but the term Hamming code often refers to this specific code that Richard W. Hamming introduced in 1950.
Blackjack (formerly black jack and vingt-un) is a casino banking game. [1]: 342 It is the most widely played casino banking game in the world.It uses decks of 52 cards and descends from a global family of casino banking games known as "twenty-one".
Card counting is based on statistical evidence that high cards ( aces, 10s, and 9s) benefit the player, while low cards, (2s, 3s, 4s, 5s, 6s, and 7s) benefit the dealer. High cards benefit the player in the following ways: They increase the player's probability of hitting a Blackjack, which often pays out at 3 to 2 odds (although some casinos ...
Edward Oakley Thorp (born August 14, 1932) is an American mathematics professor, author, hedge fund manager, and blackjack researcher. He pioneered the modern applications of probability theory, including the harnessing of very small correlations for reliable financial gain. Thorp is the author of Beat the Dealer, which mathematically proved ...
For a fixed length n, the Hamming distance is a metric on the set of the words of length n (also known as a Hamming space ), as it fulfills the conditions of non-negativity, symmetry, the Hamming distance of two words is 0 if and only if the two words are identical, and it satisfies the triangle inequality as well: [ 2] Indeed, if we fix three ...
Betting strategy. A betting strategy (also known as betting system) is a structured approach to gambling, in the attempt to produce a profit. To be successful, the system must change the house edge into a player advantage — which is impossible for pure games of probability with fixed odds, akin to a perpetual motion machine. [1]
A device used to hold multiple decks of cards, typically 4, 6 or 8. Cards are dealt one at a time from the shoe. shoe game A blackjack game dealt from a shoe. Shoe games typically use more than 2 decks. soft A soft hand is a hand that includes an ace valued as 11, as opposed to 1. split