|
Spline (mathematics)
In mathematics, a spline is a function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge's phenomenon for higher degrees. In the computer science subfields of computer-aided design and computer graphics, the term ''spline'' more frequently refers to a piecewise polynomial ( parametric) curve. Splines are popular curves in these subfields because of the simplicity of their construction, their ease and accuracy of evaluation, and their capacity to approximate complex shapes through curve fitting and interactive curve design. The term spline comes from the flexible spline devices used by shipbuilders and draftsmen to draw smooth shapes. Introduction The term "spline" is used to refer to a wide class of functions that are used in applications requiring data interpolation and/or smoothing. The data ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isaac Jacob Schoenberg
Isaac Jacob Schoenberg (April 21, 1903 – February 21, 1990) was a Romanian-American mathematician, known for his invention of splines. Life and career Schoenberg was born in Galați to a Jewish family, the youngest of four children. He studied at the University of Iași, receiving his M.A. in 1922. From 1922 to 1925 he studied at the Universities of Berlin and Göttingen, working on a topic in analytic number theory suggested by Issai Schur. He presented his thesis to the University of Iași, obtaining his Ph.D. in 1926. In Göttingen, he met Edmund Landau, who arranged a visit for Schoenberg to the Hebrew University of Jerusalem in 1928. During this visit, Schoenberg began his work on total positivity and variation-diminishing linear transformations. In 1930, he returned from Jerusalem, and married Landau's daughter Charlotte in Berlin. In 1930, he was awarded a Rockefeller Fellowship, which enabled him to go to the United States, visiting the University of Chicag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Technical Drawing
Technical drawing, drafting or drawing, is the act and discipline of composing drawings that visually communicate how something functions or is constructed. Technical drawing is essential for communicating ideas in industry and engineering. To make the drawings easier to understand, people use familiar symbols, perspectives, units of measurement, notation systems, visual styles, and page layout. Together, such conventions constitute a visual language and help to ensure that the drawing is unambiguous and relatively easy to understand. Many of the symbols and principles of technical drawing are codified in an international standard called ISO 128. The need for precise communication in the preparation of a functional document distinguishes technical drawing from the expressive drawing of the visual arts. Artistic drawings are subjectively interpreted; their meanings are multiply determined. Technical drawings are understood to have one intended meaning. A draftsman is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
East Anglian English
East Anglian English is a dialect of English spoken in East Anglia, primarily in or before the mid-20th century. East Anglian English has had a very considerable input into modern Estuary English. However, it has received little attention from the media and is not easily recognised by people from other parts of the United Kingdom. The dialect's boundaries are not uniformly agreed upon; for instance, the Fens were traditionally an uninhabited area that was difficult to cross, so there was little dialect contact between the two sides of the Fens leading to certain internal distinctions within that region. Linguist Peter Trudgill has identified several sub-dialects, including Norfolk (Broad Norfolk, Norwich), Suffolk, Essex, Cambridgeshire, and various Fenland dialects. History In Jacek Fisiak's and Peter Trudgill's book, ''East Anglian English,'' they describe the important influence East Anglian English has had on the development of the English language. In addition to its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
British Aircraft Corporation
The British Aircraft Corporation (BAC) was a British aircraft manufacturer formed from the government-pressured merger of English Electric, English Electric Aviation Ltd., Vickers-Armstrongs, Vickers-Armstrongs (Aircraft), the Bristol Aeroplane Company and Hunting Aircraft in 1960. Bristol, English Electric and Vickers became "parents" of BAC with shareholdings of 20%, 40% and 40% respectively. BAC in turn acquired the share capital of their aviation interests and 70% of Hunting Aircraft several months later. History Formation BAC's origins can be traced to a statement issued by the British government that it expected the various companies involved in the aircraft, guided weapons and engine industries to consolidate and merge with one another. Furthermore, the government also promised incentives to motivate such restructuring; the maintenance of government research and development spending and the guarantee of aid in launching "promising new types of civil aircraft". One partic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Malcolm Sabin
Malcolm, Malcom, Máel Coluim, or Maol Choluim may refer to: People * Malcolm (given name), includes a list of people and fictional characters * Malcom (footballer) (born 1997), Brazilian football forward * Clan Malcolm * Maol Choluim de Innerpeffray, 14th-century bishop-elect of Dunkeld Nobility * Máel Coluim, Earl of Atholl, Mormaer of Atholl between 1153/9 and the 1190s * Máel Coluim, King of Strathclyde, 10th century * Máel Coluim of Moray, Mormaer of Moray 1020–1029 * Máel Coluim (son of the king of the Cumbrians), possible King of Strathclyde or King of Alba around 1054 * Malcolm I of Scotland (died 954), King of Scots * Malcolm II of Scotland, King of Scots from 1005 until his death * Malcolm III of Scotland, King of Scots * Malcolm IV of Scotland, King of Scots * Máel Coluim, Earl of Angus, the fifth attested post 10th-century Mormaer of Angus * Máel Coluim I, Earl of Fife, one of the more obscure Mormaers of Fife * Maol Choluim I, Earl of Lennox, Mormaer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boeing
The Boeing Company, or simply Boeing (), is an American multinational corporation that designs, manufactures, and sells airplanes, rotorcraft, rockets, satellites, and missiles worldwide. The company also provides leasing and product support services. Boeing is among the largest global aerospace manufacturers; it is the fourth-largest defense contractor in the world based on 2022 revenue and is the largest exporter in the United States by dollar value. Boeing was founded by William E. Boeing in Seattle, Washington, on July 15, 1916. The present corporation is the result of the merger of Boeing with McDonnell Douglas on August 1, 1997. As of 2023, the Boeing Company's corporate headquarters is located in the Crystal City neighborhood of Arlington County, Virginia. The company is organized into three primary divisions: Boeing Commercial Airplanes (BCA), Boeing Defense, Space & Security (BDS), and Boeing Global Services (BGS). In 2021, Boeing recorded $62.3billion in sales. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Flat Spline
A spline consists of a long strip fixed in position at a number of points whose tension creates a smooth curve passing through those points, for the purpose of transferring that curve to another material. Before computers were used for creating engineering designs, drafting tools were employed by designers drawing by hand. To draw curves, especially for shipbuilding, draftsmen often used long, thin, flexible strips of wood, plastic, or metal called splines (or laths, not to be confused with lathes). The splines were held in place with lead weights (called ducks because of their duck-like shape). The elasticity of the spline material combined with the constraint of the control points, or knots, would cause the strip to take the shape that minimized the energy required for bending it between the fixed points, this being the smoothest possible shape. One can recreate an original draftsman's spline device with weights and a length of thin plastic or wood, flexible to bend enough ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the world's countries participated, with many nations mobilising all resources in pursuit of total war. Tanks in World War II, Tanks and Air warfare of World War II, aircraft played major roles, enabling the strategic bombing of cities and delivery of the Atomic bombings of Hiroshima and Nagasaki, first and only nuclear weapons ever used in war. World War II is the List of wars by death toll, deadliest conflict in history, causing World War II casualties, the death of 70 to 85 million people, more than half of whom were civilians. Millions died in genocides, including the Holocaust, and by massacres, starvation, and disease. After the Allied victory, Allied-occupied Germany, Germany, Allied-occupied Austria, Austria, Occupation of Japan, Japan, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lofting
Lofting is a Technical drawing, drafting technique to generate curved lines. It is used in plans for streamlined objects such as aircraft and boats. The lines may be drawn on wood and the wood then cut for advanced woodworking. The technique can be as simple as bending a flexible object, such as a long strip of thin wood or thin plastic, so that it passes over three non-linear points, and scribing the resultant curved line; or as elaborate as plotting the line using computers or mathematical tables. Lofting is particularly useful in boat building, when it is used to draw and cut pieces for hull (watercraft), hulls and keels. These are usually curved, often in three dimensions. Loftsmen at the mould lofts of shipyards were responsible for taking the dimensions and details from drawings and plans, and translating this information into templates, Batten, battens, Abscissa and ordinate, ordinates, cutting sketches, profiles, margins and other data. From the early 1970s onward compute ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robin Forrest
The Rev. Canon Robin Whyte Forrest (born 1933) is a former eminent Anglican priest of the second half of the 20th century. He was born in 1933, educated at Edinburgh Theological College and ordained in 1962. He was Curate at St Mary, Glasgow and then held incumbencies at Renfrew, Motherwell, Wishaw and Nairn Nairn (; ) is a town and former royal burgh in the Highland (council area), Highland Council council areas of Scotland, area of Scotland. It is an ancient fishing port and market town around east of Inverness, at the point where the River Nair .... He was Dean of Moray, Ross and Caithness from 1992 to 1998."Scottish Episcopal Clergy, 1689-2000" Bertie, D.M: Edinburgh T & T Clark Notes 1933 births Deans of Moray, Ross and Caithness Living people Alumni of Edinburgh Theological College {{UK-Christian-clergy-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Step Function
In mathematics, a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces. Definition and first consequences A function f\colon \mathbb \rightarrow \mathbb is called a step function if it can be written as :f(x) = \sum\limits_^n \alpha_i \chi_(x), for all real numbers x where n\ge 0, \alpha_i are real numbers, A_i are intervals, and \chi_A is the indicator function of A: :\chi_A(x) = \begin 1 & \text x \in A \\ 0 & \text x \notin A \\ \end In this definition, the intervals A_i can be assumed to have the following two properties: # The intervals are pairwise disjoint: A_i \cap A_j = \emptyset for i \neq j # The union of the intervals is the entire real line: \bigcup_^n A_i = \mathbb R. Indeed, if that is not the case to start with, a different set of intervals can be picked for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
