Hamming(7,4) Example 1011
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Hamming(7,4) Example 1011
Hamming may refer to: * Richard Hamming (1915–1998), American mathematician * Hamming(7,4), in coding theory, a linear error-correcting code * Overacting, or acting in an exaggerated way See also * Hamming code, error correction in telecommunication * Hamming distance, a way of defining how different two sequences are * Hamming weight, the number of non-zero elements in a sequence * Hamming window, a mathematical function used in signal processing * Hammond (other) Hammond may refer to: People * Hammond Innes (1913–1998), English novelist * Hammond (surname) * Justice Hammond (other) Places Antarctica * Hammond Glacier, Antarctica Australia *Hammond, South Australia, a small settlement in Sou ... * Ham (other) {{disambiguation, surname ...
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Richard Hamming
Richard Wesley Hamming (February 11, 1915 – January 7, 1998) was an American mathematician whose work had many implications for computer engineering and telecommunications. His contributions include the Hamming code (which makes use of a Hamming matrix), the Hamming window, Hamming numbers, sphere-packing (or Hamming bound), Hamming graph concepts, and the Hamming distance. Born in Chicago, Hamming attended University of Chicago, University of Nebraska and the University of Illinois at Urbana–Champaign, where he wrote his doctoral thesis in mathematics under the supervision of Waldemar Trjitzinsky (1901–1973). In April 1945, he joined the Manhattan Project at the Los Alamos Laboratory, where he programmed the IBM calculating machines that computed the solution to equations provided by the project's physicists. He left to join the Bell Telephone Laboratories in 1946. Over the next fifteen years, he was involved in nearly all of the laboratories' most prominent a ...
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Hamming(7,4)
In coding theory, Hamming(7,4) is a linear code, 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. At the time, Hamming worked at Bell Telephone Laboratories and was frustrated with the error-prone punched card reader, which is why he started working on error-correcting codes. The Hamming code adds three additional check bits to every four data bits of the message. Hamming's (7,4) algorithm can correct any single-bit error, or detect all single-bit and two-bit errors. In other words, the minimal Hamming distance between any two correct codewords is 3, and received words can be correctly decoded if they are at a distance of at most one from the codeword that was transmitted by the sender. This means that for transmission medium situations where burst error, burst erro ...
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Overacting
Overacting (also called hamming, mugging or chewing the scenery) is exaggerated acting, positively or negatively. Uses Some roles require overly-exaggerated character acting, particularly those in comedy films. For example, the breakthrough roles of Jim Carrey in '' Ace Ventura: Pet Detective'' and '' The Mask'' (both 1994) saw him portray the lead characters in a very flamboyant fashion, as the script required. He has since played relatively straight roles. Overacting may be used to portray an outlandish character, or to stress the evil characteristics of a villain. Actor Gary Oldman was almost typecast as an anti-social personality early in his screen career: the necessity to express villainous characters in an overtly physical manner led to the cultivation of a "big" acting style that incorporated projection skills acquired during his stage training. He noted that he has given "over-the-top" performances, and: "If it's coming from a sincere place, then I think the screen can ...
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Hamming Code
In computer science and telecommunications, Hamming codes are a family of linear error-correcting codes. Hamming codes can detect one-bit and two-bit errors, or correct one-bit errors without detection of uncorrected errors. By contrast, the simple parity code cannot correct errors, and can detect only an odd number of bits in error. Hamming codes are perfect codes, that is, they achieve the highest possible rate for codes with their block length and minimum distance of three. Richard W. Hamming invented Hamming codes in 1950 as a way of automatically correcting errors introduced by punched card readers. In his original paper, Hamming elaborated his general idea, but specifically focused on the Hamming(7,4) code which adds three parity bits to four bits of data. In mathematical terms, Hamming codes are a class of binary linear code. For each integer there is a code-word with block length and message length . Hence the rate of Hamming codes is , which is the highest p ...
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Hamming Distance
In information theory, the Hamming distance between two String (computer science), strings or vectors of equal length is the number of positions at which the corresponding symbols are different. In other words, it measures the minimum number of ''substitutions'' required to change one string into the other, or equivalently, the minimum number of ''errors'' that could have transformed one string into the other. In a more general context, the Hamming distance is one of several string metrics for measuring the edit distance between two sequences. It is named after the American mathematician Richard Hamming. A major application is in coding theory, more specifically to block codes, in which the equal-length strings are Vector space, vectors over a finite field. Definition The Hamming distance between two equal-length strings of symbols is the number of positions at which the corresponding symbols are different. Examples The symbols may be letters, bits, or decimal digits, am ...
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Hamming Weight
The Hamming weight of a string (computer science), string is the number of symbols that are different from the zero-symbol of the alphabet used. It is thus equivalent to the Hamming distance from the all-zero string of the same length. For the most typical case, a given set of bits, this is the number of bits set to 1, or the digit sum of the Binary numeral system, binary representation of a given number and the Taxicab geometry, ''ℓ''₁ norm of a bit vector. In this binary case, it is also called the population count, popcount, sideways sum, or bit summation. History and usage The Hamming weight is named after the American mathematician Richard Hamming, although he did not originate the notion. The Hamming weight of binary numbers was already used in 1899 by James Whitbread Lee Glaisher, James W. L. Glaisher to give a formula for Gould's sequence, the number of odd binomial coefficients in a single row of Pascal's triangle. Irving S. Reed introduced a concept, equivalen ...
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Hamming Window
In signal processing and statistics, a window function (also known as an apodization function or tapering function) is a function (mathematics), mathematical function that is zero-valued outside of some chosen interval (mathematics), interval. Typically, window functions are symmetric around the middle of the interval, approach a maximum in the middle, and taper away from the middle. Mathematically, when another function or waveform/data-sequence is "multiplied" by a window function, the product is also zero-valued outside the interval: all that is left is the part where they overlap, the "view through the window". Equivalently, and in actual practice, the segment of data within the window is first isolated, and then only that data is multiplied by the window function values. Thus, tapering, not segmentation, is the main purpose of window functions. The reasons for examining segments of a longer function include detection of transient events and time-averaging of frequency spec ...
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Hammond (other)
Hammond may refer to: People * Hammond Innes (1913–1998), English novelist * Hammond (surname) * Justice Hammond (other) Places Antarctica * Hammond Glacier, Antarctica Australia *Hammond, South Australia, a small settlement in South Australia ** Electoral district of Hammond, a state electoral district in South Australia Canada * Hammond River, a small river in New Brunswick * Hammond Parish, New Brunswick *Hammond, Ontario, Canada, now Clarence-Rockland, Ontario * Port Hammond, British Columbia, also known as Hammond or Hammond's Landing * Upper Hammonds Plains, Nova Scotia England * Stoke Hammond, a village in north Buckinghamshire, England United States * Hammond, Fresno, California * Hammond Castle, a castle located in Gloucester, Massachusetts *Hammond, Georgia, now Sandy Springs, Georgia * Hammond, Illinois *Hammond, Indiana, the largest U.S. city named Hammond ** Hammond Circus Train Wreck * Hammond, Kansas *Hammond, Louisiana * Hammond, Maine *Hammond, M ...
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