Array (data Structure), Arrays
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Array (data Structure), Arrays
An array is a systematic arrangement of similar objects, usually in rows and columns. Things called an array include: {{TOC right Music * In twelve-tone and serial composition, the presentation of simultaneous twelve-tone sets such that the sums of their horizontal segments form a succession of twelve-tone aggregates * Array mbira, a musical instrument * Spiral array model, a music pitch space Science Astronomy A telescope array, also called astronomical interferometer. Biology * Various kinds of multiple biological arrays called microarrays * Visual feature array, a model for the visual cortex Computer science Generally, a collection of same type data items that can be selected by indices computed at run-time, including: * Array (data structure), an arrangement of items at equally spaced addresses in computer memory * Array (data type), used in a programming language to specify a variable that can be indexed * Associative array, an abstract data structure model c ...
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Array Programming
In computer science, array programming refers to solutions that allow the application of operations to an entire set of values at once. Such solutions are commonly used in computational science, scientific and engineering settings. Modern programming languages that support array programming (also known as vector (data structure), vector or multidimensional analysis, multidimensional languages) have been engineered specifically to generalize operations on scalar (computing), scalars to apply transparently to vector (geometric), vectors, matrix (mathematics), matrices, and higher-dimensional arrays. These include APL (programming language), APL, J (programming language), J, Fortran, MATLAB, Analytica (software), Analytica, GNU Octave, Octave, R (programming language), R, Cilk Plus, Julia (programming language), Julia, Perl Data Language, Perl Data Language (PDL), Raku (programming language). In these languages, an operation that operates on entire arrays can be called a ''vectorized' ...
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Disk Array
A disk array is a disk storage system which contains multiple disk drives. It is differentiated from a disk enclosure, in that an array has cache (computing), cache memory and advanced functionality, like redundant array of independent disks, RAID, Data deduplication, deduplication, encryption and Storage virtualization, virtualization. Components of a disk array include: * Disk array controllers * Cache (computing), Cache in form of both volatile random-access memory and Non-volatile memory, non-volatile flash memory. * Disk enclosures for both Magnetic storage, magnetic rotational hard disk drives and electronic solid-state drives. * Power supply, Power supplies Typically a disk array provides increased availability, resiliency, and maintainability by using additional redundant components (controllers, power supplies, fans, etc.), often up to the point where all single point of failure, single points of failure (SPOFs) are eliminated from the design. Additionally, disk array com ...
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Asynchronous Array Of Simple Processors
The asynchronous array of simple processors (AsAP) architecture comprises a 2-D array of reduced complexity programmable processors with small scratchpad memories interconnected by a reconfigurable mesh network. AsAP was developed by researchers in the VLSI Computation Laboratory (VCL) at the University of California, Davis and achieves high performance and energy efficiency, while using a relatively small circuit area. It was made in 2006. AsAP processors are well suited for implementation in future fabrication technologies, and are clocked in a globally asynchronous locally synchronous (GALS) fashion. Individual oscillators fully halt (leakage only) in 9 cycles when there is no work to do, and restart at full speed in less than one cycle after work is available. The chip requires no crystal oscillators, phase-locked loops, delay-locked loops, global clock signal, or any global frequency or phase-related signals whatsoever. The multi-processor architecture makes use of task-lev ...
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Array Data Structure
In computer science, an array is a data structure consisting of a collection of ''elements'' (value (computer science), values or variable (programming), variables), of same memory size, each identified by at least one ''array index'' or ''key'', a collection of which may be a tuple, known as an index tuple. An array is stored such that the position (memory address) of each element can be computed from its index tuple by a mathematical formula. The simplest type of data structure is a linear array, also called a one-dimensional array. For example, an array of ten 32-bit (4-byte) integer variables, with indices 0 through 9, may be stored as ten Word (data type), words at memory addresses 2000, 2004, 2008, ..., 2036, (in hexadecimal: 0x7D0, 0x7D4, 0x7D8, ..., 0x7F4) so that the element with index ''i'' has the address 2000 + (''i'' × 4). The memory address of the first element of an array is called first address, foundation address, or base address. Because the mathematical conc ...
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Intersection Array
In the mathematical field of graph theory, a distance-regular graph is a regular graph such that for any two Vertex (graph theory), vertices and , the number of vertices at distance (graph theory), distance from and at distance from depends only upon , , and the distance between and . Some authors exclude the complete graphs and disconnected graphs from this definition. Every distance-transitive graph is distance regular. Indeed, distance-regular graphs were introduced as a combinatorial generalization of distance-transitive graphs, having the numerical regularity properties of the latter without necessarily having a large Graph automorphism, automorphism group. Intersection arrays The intersection array of a distance-regular graph is the array ( b_0, b_1, \ldots, b_; c_1, \ldots, c_d ) in which d is the diameter of the graph and for each 1 \leq j \leq d , b_j gives the number of neighbours of u at distance j+1 from v and c_j gives the number of neighbours of u a ...
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Holor
Parry Hiram Moon (; February 14, 1898 – March 4, 1988) was an American electrical engineer who, with Domina Eberle Spencer, co-wrote eight scientific books and over 200 papers on subjects including electromagnetic field theory, color harmony, nutrition, aesthetic measure and advanced mathematics. He also developed a theory of holors. Biography Moon was born in Beaver Dam, Wisconsin, to Ossian C. and Eleanor F. (Parry) Moon. He received a BSEE from University of Wisconsin in 1922 and an MSEE from MIT in 1924. Unfulfilled with his work in transformer design at Westinghouse, Moon obtained a position as research assistant at MIT under Vannevar Bush. He was hospitalized for six months after sustaining injuries from experimental work in the laboratory. He later continued his teaching and research as an associate professor in MIT's Electrical Engineering Department. He married Harriet Tiffany, with whom he had a son. In 1961, after the death of his first wife, he married his co-auth ...
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Monge Array
In mathematics applied to computer science, Monge arrays, or Monge matrices, are mathematical objects named for their discoverer, the French mathematician Gaspard Monge. An ''m''-by-''n'' matrix is said to be a ''Monge array'' if, for all \scriptstyle i,\, j,\, k,\, \ell such that :1\le i < k\le m\text1\le j < \ell\le n one obtains :A ,j+ A ,\ell\le A ,\ell+ A ,j\, So for any two rows and two columns of a Monge array (a 2 × 2 sub-matrix) the four elements at the intersection points have the property that the sum of the upper-left and lower right elements (across the
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Costas Array
In mathematics, a Costas array can be regarded geometry, geometrically as a set of ''n'' points, each at the center of a square in an ''n''×''n'' square tiling such that each row or column contains only one point, and all of the ''n''(''n'' − 1)/2 displacement (vector), displacement Euclidean vector, vectors between each pair of dots are distinct. This results in an ideal "thumbtack" auto-ambiguity function, making the arrays useful in applications such as sonar and radar. Costas arrays can be regarded as two-dimensional cousins of the one-dimensional Golomb ruler construction, and, as well as being of mathematical interest, have similar applications in experimental design and phased array radar engineering. Costas arrays are named after John P. Costas (engineer), John P. Costas, who first wrote about them in a 1965 technical report. Independently, Edgar Gilbert also wrote about them in the same year, publishing what is now known as the logarithmic Welch metho ...
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Matrix (mathematics)
In mathematics, a matrix (: matrices) is a rectangle, rectangular array or table of numbers, symbol (formal), symbols, or expression (mathematics), expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object. For example, \begin1 & 9 & -13 \\20 & 5 & -6 \end is a matrix with two rows and three columns. This is often referred to as a "two-by-three matrix", a " matrix", or a matrix of dimension . Matrices are commonly used in linear algebra, where they represent linear maps. In geometry, matrices are widely used for specifying and representing geometric transformations (for example rotation (mathematics), rotations) and coordinate changes. In numerical analysis, many computational problems are solved by reducing them to a matrix computation, and this often involves computing with matrices of huge dimensions. Matrices are used in most areas of mathematics and scientific fields, either directly ...
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Standard Array
In coding theory, a standard array (or Slepian array) is a q^ by q^ array that lists all elements of a particular \mathbb_q^n vector space. Standard arrays are used to decode linear codes; i.e. to find the corresponding codeword for any received vector. Definition A standard array for an 'n'',''k''code is a q^ by q^ array where: # The first row lists all codewords (with the 0 codeword on the extreme left) # Each row is a coset with the coset leader in the first column # The entry in the i-th row and j-th column is the sum of the i-th coset leader and the j-th codeword. For example, the '5'',''2''code C_ = has a standard array as follows: The above is only one possibility for the standard array; had 00011 been chosen as the first coset leader of weight two, another standard array representing the code would have been constructed. The first row contains the 0 vector and the codewords of C_ (0 itself being a codeword). Also, the leftmost column contains the vectors of ...
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