Semi-differentiabilityIn calculus, a branch of mathematics, the notions of one-sided differentiability and semi-differentiability of a real-valued function f of a real variable are weaker than differentiability. Specifically, the function f is said to be right differentiable at a point a if, roughly speaking, a derivative can be defined as the function's argument x moves to a from the right, and left differentiable at a if the derivative can be defined as x moves to a from the left.
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.
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.
Differentiable manifoldIn mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold can be described by a collection of charts (atlas). One may then apply ideas from calculus while working within the individual charts, since each chart lies within a vector space to which the usual rules of calculus apply. If the charts are suitably compatible (namely, the transition from one chart to another is differentiable), then computations done in one chart are valid in any other differentiable chart.
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.
Proof by contradictionIn logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction. Although it is quite freely used in mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as universally valid. More broadly, proof by contradiction is any form of argument that establishes a statement by arriving at a contradiction, even when the initial assumption is not the negation of the statement to be proved.
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.
Portfolio optimizationPortfolio optimization is the process of selecting the best portfolio (asset distribution), out of the set of all portfolios being considered, according to some objective. The objective typically maximizes factors such as expected return, and minimizes costs like financial risk. Factors being considered may range from tangible (such as assets, liabilities, earnings or other fundamentals) to intangible (such as selective divestment). Modern portfolio theory was introduced in a 1952 doctoral thesis by Harry Markowitz; see Markowitz model.
Mathematical proofA mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation".
Symmetric matrixIn linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal. So if denotes the entry in the th row and th column then for all indices and Every square diagonal matrix is symmetric, since all off-diagonal elements are zero. Similarly in characteristic different from 2, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative.
