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Kenneth Falconer (mathematician)
Kenneth John Falconer FRSE (born 25 January 1952) is an English mathematician working in mathematical analysis and in particular on fractal geometry. He is Regius Professor of Mathematics in the School of Mathematics and Statistics at the University of St Andrews. He is known for his work on the mathematics of fractals and in particular sets and measures arising from iterated function systems, especially self-similar and self-affine sets. Closely related is his research on Hausdorff and other fractal dimensions. He formulated '' Falconer's conjecture'' on the dimension of distance sets and conceived the notion of a digital sundial. In combinatorial geometry he established a lower bound of 5 for the chromatic number of the plane in the Lebesgue measurable case. Falconer was born at Bearsted Memorial Maternity Hospital outside Hampton Court Palace. He was educated at Kingston Grammar School, Kingston upon Thames and Corpus Christi College, Cambridge. He graduated in 1974 and c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richmond, London
Richmond is a town in south-west London,The London Government Act 1963 (c.33) (as amended) categorises the London Borough of Richmond upon Thames as an Outer London borough. Although it is on both sides of the River Thames, the Boundary Commission for England defines it as being in South London or the South Thames sub-region, pairing it with Kingston upon Thames for the purposes of devising constituencies. However, for the purposes of the London Plan, Richmond now lies within the West London (sub region), West London region. west-southwest of Charing Cross. It is on a meander of the River Thames, with many Richmond upon Thames parks and open spaces, parks and open spaces, including Richmond Park, and many protected conservation areas, which include much of Richmond Hill, London, Richmond Hill. A specific Richmond, Petersham and Ham Open Spaces Act 1902, Act of Parliament protects the scenic view of the River Thames from Richmond. Richmond was founded following Henry VII of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Iterated Function Systems
In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry. They were introduced in 1981. IFS fractals, as they are normally called, can be of any number of dimensions, but are commonly computed and drawn in 2D. The fractal is made up of the union of several copies of itself, each copy being transformed by a function (hence "function system"). The canonical example is the Sierpiński triangle. The functions are normally contractive, which means they bring points closer together and make shapes smaller. Hence, the shape of an IFS fractal is made up of several possibly-overlapping smaller copies of itself, each of which is also made up of copies of itself, ad infinitum. This is the source of its self-similar fractal nature. Definition Formally, an iterated function system is a finite set of contraction mappings on a complete metric space. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1952 Births
Year 195 ( CXCV) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Scrapula and Clemens (or, less frequently, year 948 ''Ab urbe condita''). The denomination 195 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus has the Roman Senate deify the previous emperor Commodus, in an attempt to gain favor with the family of Marcus Aurelius. * King Vologases V and other eastern princes support the claims of Pescennius Niger. The Roman province of Mesopotamia rises in revolt with Parthian support. Severus marches to Mesopotamia to battle the Parthians. * The Roman province of Syria is divided and the role of Antioch is diminished. The Romans annexed the Syrian cities of Edessa and Nisibis. Severus re-establish his h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lists Of Mountains And Hills In The British Isles
The mountains and hills of the British Isles are categorised into various lists based on different combinations of elevation, prominence, and other criteria such as isolation. These lists are used for peak bagging, whereby hillwalkers attempt to reach all the summits on a given list, the oldest being the 282 Munros in Scotland, created in 1891. A height above 2,000 ft, or more latterly 610 m, is considered necessary to be classified as a mountain – as opposed to a hill – in the British Isles. With the exception of Munros, all the lists require a prominence above . A prominence of between (e.g. some Nuttalls and Vandeleur-Lynams), does not meet the International Climbing and Mountaineering Federation (UIAA) definition of an "independent peak", which is a threshold over . Most lists consider a prominence between as a "top" (e.g. many Hewitts and Simms). Marilyns, meanwhile, have a prominence above , with no additional height threshold. They range from small hills to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Munro
A Munro () is defined as a mountain in Scotland with a height over , and which is on the Scottish Mountaineering Club (SMC) official list of Munros; there is no explicit topographical prominence requirement. The best known Munro is Ben Nevis (Beinn Nibheis), the highest mountain in the British Isles at . Munros are named after Sir Hugh Munro, 4th Baronet (1856–1919), who produced the first list of such hills, known as ''Munro's Tables'', in 1891. Also included were what Munro considered lesser peaks, now known as Munro Tops, which are also over 3,000 feet but are lower than the nearby primary mountain. The publication of the original list is usually considered to be the epoch event of modern peak bagging. The list has been the subject of subsequent variation and as of 10 December 2020, the Scottish Mountaineering Club has listed 282 Munros and 226 Munro Tops. "Munro bagging" is the activity of climbing all the listed Munros. As of 31 December 2021, 7,098 people had reported ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Long Distance Walkers Association
The Long Distance Walkers Association (LDWA) is a British not for profit, volunteer-led association whose aim is "to further the common interests of those who enjoy long distance walking". The LDWA is an association of people with the common interest of walking long distances in rural, urban, mountainous, coastal or moorland areas. The LDWA is recognised as the sports governing body for the discipline of "long distance walking" in England, Wales and Scotland. Activities The LDWA has over 40 local groups which organise walks for their members, and publishes a journal ''Strider'' three times a year. Walks fall into two categories: #Social walks (also referred to as group walks) are normally led walks of anything up to 30 miles in length and recorded on the social walk database available to members. #Challenge events are normally between 20 and 100 miles, self-led (participants navigate the route based on written instructions) and must generally be completed within a defined time l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57–5 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kingston Upon Thames
Kingston upon Thames (hyphenated until 1965, colloquially known as Kingston) is a town in the Royal Borough of Kingston upon Thames, southwest London, England. It is situated on the River Thames and southwest of Charing Cross. It is notable as the ancient market town in which Saxon kings were crowned and today is the administrative centre of the Royal Borough. Historically in the county of Surrey, the ancient parish of Kingston became absorbed in the Municipal Borough of Kingston-upon-Thames, reformed in 1835. From 1893 to 2021 it was the location of Surrey County Council, extraterritorially in terms of local government administration since 1965, when Kingston became a part of Greater London. Today, most of the town centre is part of the KT1 postcode area, but some areas north of Kingston railway station are within KT2. The United Kingdom Census 2011 recorded the population of the town (comprising the four wards of Canbury, Grove, Norbiton and Tudor) as 43,013, while ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hampton Court Palace
Hampton Court Palace is a Grade I listed royal palace in the London Borough of Richmond upon Thames, southwest and upstream of central London on the River Thames. The building of the palace began in 1514 for Cardinal Thomas Wolsey, the chief minister of Henry VIII. In 1529, as Wolsey fell from favour, the cardinal gave the palace to the king to check his disgrace. The palace went on to become one of Henry's most favoured residences; soon after acquiring the property, he arranged for it to be enlarged so that it might more easily accommodate his sizeable retinue of courtiers. Along with St James' Palace, it is one of only two surviving palaces out of the many the king owned. The palace is currently in the possession of King Charles III and the Crown. In the following century, King William III's massive rebuilding and expansion work, which was intended to rival the Palace of Versailles, destroyed much of the Tudor palace.Dynes, p. 90. His work ceased in 1694, leaving the pa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Digital Sundial
A digital sundial is a clock that indicates the current time with numerals formed by the sunlight striking it. Like a classical sundial, the device contains no moving parts. It uses no electricity nor other manufactured sources of energy. The digital display changes as the sun advances in its daily course. Technique There are two basic types of digital sundials. One type uses optical waveguides, while the other is inspired by fractal geometry. Optical fiber sundial Sunlight enters into the device through a slit and moves as the sun advances. The sun's rays shine on ten linearly distributed sockets of optical waveguides that transport the light to a seven-segment display. Each socket fiber is connected to a few segments forming the digit corresponding to the position of the sun. Fractal sundial The theoretical basis for the other construction comes from fractal geometry. For the sake of simplicity, we describe a two-dimensional (planar) version. Let denote a straight line p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
