Diagonal matrixIn linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices. Elements of the main diagonal can either be zero or nonzero. An example of a 2×2 diagonal matrix is , while an example of a 3×3 diagonal matrix is. An identity matrix of any size, or any multiple of it (a scalar matrix), is a diagonal matrix. A diagonal matrix is sometimes called a scaling matrix, since matrix multiplication with it results in changing scale (size).
Breadth-first searchBreadth-first search (BFS) is an algorithm for searching a tree data structure for a node that satisfies a given property. It starts at the tree root and explores all nodes at the present depth prior to moving on to the nodes at the next depth level. Extra memory, usually a queue, is needed to keep track of the child nodes that were encountered but not yet explored. For example, in a chess endgame, a chess engine may build the game tree from the current position by applying all possible moves and use breadth-first search to find a win position for White.
Jeff KuhnJeffrey Richard Kuhn, also known as Jeff Kuhn, is an American physicist and astronomer who is a professor of astronomy at the University of Hawaii. He is known for his contributions to astrophysics and the search for extraterrestrial life, particularly in the areas of telescope and detection system development, the study of the Sun and its corona, and the search for planets around other stars.
Gajski–Kuhn chartThe Gajski–Kuhn chart (or Y diagram) depicts the different perspectives in VLSI hardware design. Mostly, it is used for the development of integrated circuits. Daniel Gajski and Robert Kuhn developed it in 1983. In 1985, Robert Walker and Donald Thomas refined it. According to this model, the development of hardware is perceived within three domains that are depicted as three axis and produce a Y. Along these axis, the abstraction levels that describe the degree of abstraction.
Isobel Miller KuhnIsobel Selina Miller Kuhn, born Isobel Selina Miller, aka, "Belle" (December 17, 1901 – March 20, 1957), known as Isobel Kuhn, was a Canadian Christian missionary to the Lisu people of Yunnan Province, China, and northern Thailand. She served with the China Inland Mission, along with her husband, John, as a Bible translator, church planter, Bible teacher, evangelist and authored nine books about her experiences. Isobel Selina Miller was born in Toronto, Ontario, Canada, and moved with her family to Vancouver, British Columbia, when she was eleven years old.
Daniel HumairDaniel Humair (born 23 May 1938 in Geneva, Switzerland) is a Swiss drummer, composer, and painter. He is widely renowned and became a Chevalier of the Ordre des Arts et des Lettres in 1986 and Officier in 1992. He has played with many jazz performers notably Phil Woods, Jean-Luc Ponty, Chet Baker, Michel Portal, Martial Solal, Dexter Gordon, Gerry Mulligan, Rahsaan Roland Kirk and Eric Dolphy. Humair is also a talented painter. He describes his own work as "figurative abstract" and has created a coherent œuvre proving his passion and knowledge of artistic painting.
Joseph E. KuhnJoseph E. Kuhn (June 14, 1864 – November 12, 1935) was a career officer in the United States Army. He attained the rank of major general, and was most notable for his command of the 79th Division during World War I, and his post-war commands of IX Corps, Schofield Barracks, and Vancouver Barracks. A native of Leavenworth, Kansas, Kuhn graduated at the top of his United States Military Academy (USMA) class of 1885; assigned to the Engineers, he carried out rivers and harbors construction and maintenance assignments in Detroit and San Francisco.
Matrix multiplicationIn mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix. The product of matrices A and B is denoted as AB.
Pivot elementThe pivot or pivot element is the element of a matrix, or an array, which is selected first by an algorithm (e.g. Gaussian elimination, simplex algorithm, etc.), to do certain calculations. In the case of matrix algorithms, a pivot entry is usually required to be at least distinct from zero, and often distant from it; in this case finding this element is called pivoting. Pivoting may be followed by an interchange of rows or columns to bring the pivot to a fixed position and allow the algorithm to proceed successfully, and possibly to reduce round-off error.
Daniel Bradford DevoreDaniel Bradford Devore (May 14, 1860 – March 10, 1956) was a United States Army officer in the late 19th and early 20th centuries. In World War I he became a brigadier general and commanded a regiment of the US army. Devore was born on May 14, 1860, in Monroe County, Ohio. he graduated from the United States Military Academy (USMA) at West Point, New York in 1885. His classmates included Willard A. Holbrook, Robert A. Brown, Robert Michie, Beaumont B. Buck, Henry P. McCain, Joseph E. Kuhn, Charles H. Muir, John D.
Computable functionComputable functions are the basic objects of study in computability theory. Computable functions are the formalized analogue of the intuitive notion of algorithms, in the sense that a function is computable if there exists an algorithm that can do the job of the function, i.e. given an input of the function domain it can return the corresponding output. Computable functions are used to discuss computability without referring to any concrete model of computation such as Turing machines or register machines.
Rank (linear algebra)In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number of linearly independent columns of A. This, in turn, is identical to the dimension of the vector space spanned by its rows. Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.
