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Thomas Kirkman
Thomas Penyngton Kirkman FRS (31 March 1806 – 3 February 1895) was a British mathematician and ordained minister of the Church of England. Despite being primarily a churchman, he maintained an active interest in research-level mathematics, and was listed by Alexander Macfarlane as one of ten leading 19th-century British mathematicians... In the 1840s, he obtained an existence theorem for Steiner triple systems that founded the field of combinatorial design theory, while the related Kirkman's schoolgirl problem is named after him. Early life and education Kirkman was born 31 March 1806 in Bolton, in the north west of England, the son of a local cotton dealer. In his schooling at the Bolton Grammar School, he studied classics, but no mathematics was taught in the school. He was recognised as the best scholar at the school, and the local vicar guaranteed him a scholarship at Cambridge, but his father would not allow him to go. Instead, he left school at age 14 to work in his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Bolton
Bolton ( , locally ) is a town in Greater Manchester in England. In the foothills of the West Pennine Moors, Bolton is between Manchester, Blackburn, Wigan, Bury, Greater Manchester, Bury and Salford. It is surrounded by several towns and villages that form the wider Metropolitan Borough of Bolton, borough, of which Bolton is the administrative centre. The town is within the Historic counties of England, historic county boundaries of Lancashire. A former mill town, Bolton has been a centre for textile production since the 14th century when Flemish people, Flemish weavers settled in the area, introducing a wool and cotton-weaving tradition. It was a 19th-century boomtown, development largely coincided with the introduction of textile manufacture during the Industrial Revolution. At its peak in 1929, its 216 cotton mills and 26 bleaching and dyeing works made it one of the largest and most productive centres of Spinning (textiles), cotton spinning in the world. The Brit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Christ Church, Croft
Christ Church is in Lady Lane, Croft, Cheshire, England. It is an active Anglican parish church in the deanery of Winwick, the archdeaconry of Warrington, and the diocese of Liverpool. Its benefice is united with that of Newchurch. The church is designated by English Heritage as a Grade II listed building. It was a Commissioners' church and had received a grant for its building from the Church Building Commission. History The church was built between 1832 and 1833 to a design by Edward Blore. A grant of £1,457 (equivalent to £ in ) was given towards its construction by the Church Building Commission. Its total cost was £2,667. The church was consecrated on 29 November 1833 by the Bishop of Chester. From 1839 until 1892, the rector of Croft with Southworth was Thomas Penyngton Kirkman, who in addition to his ministerial work was also a mathematician, for whom Kirkman triple systems are named.. Architecture Christ Church is constructed in red sandstone with slate roofs. I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Conic Section
A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though it was sometimes considered a fourth type. The ancient Greek mathematicians studied conic sections, culminating around 200 BC with Apollonius of Perga's systematic work on their properties. The conic sections in the Euclidean plane have various distinguishing properties, many of which can be used as alternative definitions. One such property defines a non-circular conic to be the set of those points whose distances to some particular point, called a '' focus'', and some particular line, called a ''directrix'', are in a fixed ratio, called the ''eccentricity''. The type of conic is determined by the value of the eccentricity. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2; that is, as the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Hexagon
In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A regular hexagon is defined as a hexagon that is both equilateral and equiangular. In other words, a hexagon is said to be regular if the edges are all equal in length, and each of its internal angle is equal to 120°. The Schläfli symbol denotes this polygon as \ . However, the regular hexagon can also be considered as the cutting off the vertices of an equilateral triangle, which can also be denoted as \mathrm\ . A regular hexagon is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals \tfrac times the apothem (radius of the inscribed circle). Measurement The longest diagonals of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Pascal's Theorem
In projective geometry, Pascal's theorem (also known as the ''hexagrammum mysticum theorem'', Latin for mystical hexagram) states that if six arbitrary points are chosen on a conic (which may be an ellipse, parabola or hyperbola in an appropriate affine plane) and joined by line segments in any order to form a hexagon, then the three pairs of opposite sides of the hexagon ( extended if necessary) meet at three points which lie on a straight line, called the Pascal line of the hexagon. It is named after Blaise Pascal. The theorem is also valid in the Euclidean plane, but the statement needs to be adjusted to deal with the special cases when opposite sides are parallel. This theorem is a generalization of Pappus's (hexagon) theorem, which is the special case of a degenerate conic of two lines with three points on each line. Euclidean variants The most natural setting for Pascal's theorem is in a projective plane since any two lines meet and no exceptions need to be made for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Augustus De Morgan
Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician. He is best known for De Morgan's laws, relating logical conjunction, disjunction, and negation, and for coining the term "mathematical induction", the underlying principles of which he formalized. De Morgan's contributions to logic are heavily used in many branches of mathematics, including set theory and probability theory, as well as other related fields such as computer science. Biography Childhood Augustus De Morgan was born in Madurai, in the Carnatic Sultanate, Carnatic region of India, in 1806. His father was Lieutenant-Colonel John De Morgan (1772–1816), who held various appointments in the service of the East India Company, and his mother, Elizabeth (née Dodson, 1776–1856), was the granddaughter of James Dodson (mathematician), James Dodson, who computed a table of anti-logarithms (inverse logarithms). Augustus De Morgan became blind in one eye within a few months of his bi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Mnemonic
A mnemonic device ( ), memory trick or memory device is any learning technique that aids information retention or retrieval in the human memory, often by associating the information with something that is easier to remember. It makes use of elaborative encoding, retrieval cues and imagery as specific tools to encode information in a way that allows for efficient storage and retrieval. It aids original information in becoming associated with something more accessible or meaningful—which in turn provides better retention of the information. Commonly encountered mnemonics are often used for lists and in auditory system, auditory form such as Acrostic, short poems, acronyms, initialisms or memorable phrases. They can also be used for other types of information and in visual or kinesthetic forms. Their use is based on the observation that the human mind more easily remembers spatial, personal, surprising, physical, sexual, humorous and otherwise "relatable" information rather tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Jakob Steiner
Jakob Steiner (18 March 1796 – 1 April 1863) was a Swiss mathematician who worked primarily in geometry. Life Steiner was born in the village of Utzenstorf, Canton of Bern. At 18, he became a pupil of Heinrich Pestalozzi and afterwards studied at Heidelberg. Then, he went to Berlin, earning a livelihood there, as in Heidelberg, by tutoring. Here he became acquainted with A. L. Crelle, who, encouraged by his ability and by that of Niels Henrik Abel, then also staying at Berlin, founded his famous '' Journal'' (1826). After Steiner's publication (1832) of his ''Systematische Entwickelungen'' he received, through Carl Gustav Jacob Jacobi, who was then professor at Königsberg University, and earned an honorary degree there; and through the influence of Jacobi and of the brothers Alexander and Wilhelm von Humboldt a new chair of geometry was founded for him at Berlin (1834). This he occupied until his death in Bern on 1 April 1863. He was described by Thomas Hirst as follo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Wesley S
Wesley may refer to: People and fictional characters * Wesley (name), a given name and a surname Places United States * Wesley, Arkansas, an unincorporated community * Wesley, Georgia, an unincorporated community * Wesley Township, Will County, Illinois * Wesley, Iowa, a city in Kossuth County * Wesley Township, Kossuth County, Iowa * Wesley, Maine, a town * Wesley Township, Washington County, Ohio * Wesley, Oklahoma, an unincorporated community * Wesley, Indiana, an unincorporated town * Wesley, West Virginia, an unincorporated community Elsewhere * Wesley, a hamlet in the township of Stone Mills, Ontario, Canada * Wesley, Dominica, a village * Wesley, New Zealand, a suburb of Auckland * Wesley, Eastern Cape, South Africa, a town Schools * Wesley College (other) * Wesley Institute, Sydney, Australia * Wesley Seminary, Marion, Indiana * Wesley Biblical Seminary, Jackson, Mississippi * Wesley Theological Seminary, Washington, DC * Wesley University ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
The Lady's And Gentleman's Diary
''The Lady's and Gentleman's Diary'' was a recreational mathematics magazine formed as a successor of ''The Ladies' Diary'' and '' Gentleman's Diary'' in 1841. It was published annually between 1841 and 1871 by the Company of Stationers; its editor from 1844 to 1865 was Wesley S. B. Woolhouse. It consisted mostly of problems posed by its readers, with their solutions given in later volumes, though it also contained word puzzles and poetry. The magazine was based in London. It ceased publication in 1871. This should not be confused with ''Ladies and Gentlemens Diary, or Royal Almanack'' (1775 to 1786) which was printed by Thomas Carnan and edited by Reuben Burrow and was a short lived competitor to ''The Ladies' Diary''. Kirkman's schoolgirl problem Kirkman's schoolgirl problem is a problem in combinatorics proposed by Thomas Penyngton Kirkman in 1850 as Query VI in '' The Lady's and Gentleman's Diary'' (pg.48). The problem states: Fifteen young ladies in a school walk out t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Materialism
Materialism is a form of monism, philosophical monism according to which matter is the fundamental Substance theory, substance in nature, and all things, including mind, mental states and consciousness, are results of material interactions. According to philosophical materialism, mind and consciousness are caused by physical processes, such as the neurochemistry of the human brain and nervous system, without which they cannot exist. Materialism directly contrasts with monistic idealism, according to which consciousness is the fundamental substance of nature. Materialism is closely related to physicalism—the view that all that exists is ultimately physical. Philosophical physicalism has evolved from materialism with the theories of the physical sciences to incorporate forms of physicality in addition to ordinary matter (e.g. spacetime, energy, physical energies and forces, and exotic matter). Thus, some prefer the term ''physicalism'' to ''materialism'', while others use them as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
