List Of Welsh Mathematicians
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List Of Welsh Mathematicians
This is a list of Welsh mathematicians, who have contributed to the development of mathematics. References {{reflist * Chambers, Ll. G. ''Mathemategwyr Cymru'' (Mathematicians of Wales), Cyd Bwyllgor Addysg Cymru, 1994. External linksWelsh scientistsMathematicians, Scientists and Inventors * Welsh Welsh may refer to: Related to Wales * Welsh, referring or related to Wales * Welsh language, a Brittonic Celtic language spoken in Wales * Welsh people People * Welsh (surname) * Sometimes used as a synonym for the ancient Britons (Celtic peop ...
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Mathematicians
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia ...
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Euler
Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory. Euler is held to be one of the greatest mathematicians in history and the greatest of the 18th century. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all." Carl Friedrich Gauss remarked: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it." Euler is also ...
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Monmouthshire (historic)
, Status= Historic countyCeremonial county (until 1974)Administrative county (1889–1974) , Start= 1535 , Origin= Laws in Wales Act 1535 , Motto= Faithful to both (Utrique Fidelis) , Image= Flag adopted in 2011 , Map= , HQ= Monmouth and Newport , Replace= Gwent, Mid Glamorgan, South Glamorgan , Arms= ''Coat of arms of Monmouthshire County Council'' , Government= Monmouthshire County Council (1889–1974)Newport County Borough Council (1891–1974)Cardiff County Borough Council (part) (1938–1974) , Code= MON , CodeName= Chapman code , PopulationFirst= 98,130Vision of Britain â€1831 Census/ref> , PopulationFirstYear= 1831 , AreaFirst= , AreaFirstYear= 1831 , DensityFirst= 0.3/acre , DensityFirstYear= 1831 , PopulationSecond= 230 ...
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Philosopher
A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek thinker Pythagoras (6th century BCE).. In the Classics, classical sense, a philosopher was someone who lived according to a certain way of life, focusing upon resolving Meaning of life, existential questions about the human condition; it was not necessary that they discoursed upon Theory, theories or commented upon authors. Those who most arduously committed themselves to this lifestyle would have been considered ''philosophers''. In a modern sense, a philosopher is an intellectual who contributes to one or more branches of philosophy, such as aesthetics, ethics, epistemology, philosophy of science, logic, metaphysics, social theory, philosophy of religion, and political philosophy. A philosopher may also be someone who has worked in the hum ...
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Intellectual
An intellectual is a person who engages in critical thinking, research, and reflection about the reality of society, and who proposes solutions for the normative problems of society. Coming from the world of culture, either as a creator or as a mediator, the intellectual participates in politics, either to defend a concrete proposition or to denounce an injustice, usually by either rejecting or producing or extending an ideology, and by defending a system of values. Etymological background "Man of letters" The term "man of letters" derives from the French term ''belletrist'' or ''homme de lettres'' but is not synonymous with "an academic". A "man of letters" was a literate man, able to read and write, as opposed to an illiterate man in a time when literacy was rare and thus highly valued in the upper strata of society. In the 17th and 18th centuries, the term ''Belletrist(s)'' came to be applied to the ''literati'': the French participants in—sometimes referred to as ...
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United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the continental mainland. It comprises England, Scotland, Wales and Northern Ireland. The United Kingdom includes the island of Great Britain, the north-eastern part of the island of Ireland, and many smaller islands within the British Isles. Northern Ireland shares a land border with the Republic of Ireland; otherwise, the United Kingdom is surrounded by the Atlantic Ocean, the North Sea, the English Channel, the Celtic Sea and the Irish Sea. The total area of the United Kingdom is , with an estimated 2020 population of more than 67 million people. The United Kingdom has evolved from a series of annexations, unions and separations of constituent countries over several hundred years. The Treaty of Union between the Kingdom of England (which included Wales, annexed in 1542) and the Kingdom of Scotland in 170 ...
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Tenby
Tenby ( cy, Dinbych-y-pysgod, lit=fortlet of the fish) is both a walled seaside town in Pembrokeshire, Wales, on the western side of Carmarthen Bay, and a local government community. Notable features include of sandy beaches and the Pembrokeshire Coast Path, the 13th century medieval town walls, including the Five Arches barbican gatehouse, Tenby Museum and Art Gallery, the 15th century St. Mary's Church, and the National Trust's Tudor Merchant's House. Boats sail from Tenby's harbour to the offshore monastic Caldey Island. St Catherine's Island is tidal and has a 19th century Palmerston Fort. The town has an operating railway station. The A478 road from Cardigan, Ceredigion, connects Tenby with the M4 via the A477, the A40 and the A48 in approximately . History With its strategic position on the far west coast of Britain, and a natural sheltered harbour from both the Atlantic Ocean and the Irish Sea, Tenby was a natural settlement point, probably a hill f ...
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Equals Sign
The equals sign (British English, Unicode) or equal sign (American English), also known as the equality sign, is the mathematical symbol , which is used to indicate equality in some well-defined sense. In an equation, it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the same value. In Unicode and ASCII, it has the code point U+003D. It was invented in 1557 by Robert Recorde. History The etymology of the word "equal" is from the Latin word "''æqualis",'' as meaning "uniform", "identical", or "equal", from ''aequus'' ("level", "even", or "just"). The symbol, now universally accepted in mathematics for equality, was first recorded by Welsh mathematician Robert Recorde in ''The Whetstone of Witte'' (1557). The original form of the symbol was much wider than the present form. In his book Recorde explains his design of the "Gemowe lines" (meaning ''twin'' lines, from the Latin '' gemellus'')See also g ...
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Bayesian Statistics
Bayesian statistics is a theory in the field of statistics based on the Bayesian interpretation of probability where probability expresses a ''degree of belief'' in an event. The degree of belief may be based on prior knowledge about the event, such as the results of previous experiments, or on personal beliefs about the event. This differs from a number of other interpretations of probability, such as the frequentist interpretation that views probability as the limit of the relative frequency of an event after many trials. Bayesian statistical methods use Bayes' theorem to compute and update probabilities after obtaining new data. Bayes' theorem describes the conditional probability of an event based on data as well as prior information or beliefs about the event or conditions related to the event. For example, in Bayesian inference, Bayes' theorem can be used to estimate the parameters of a probability distribution or statistical model. Since Bayesian statistics treats probabi ...
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Bayes' Theorem
In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event. For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately (by conditioning it on their age) than simply assuming that the individual is typical of the population as a whole. One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference. When applied, the probabilities involved in the theorem may have different probability interpretations. With Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence. Bayesian inference is fundamental to Bayesia ...
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Large Deviations Theory
In probability theory, the theory of large deviations concerns the asymptotic behaviour of remote tails of sequences of probability distributions. While some basic ideas of the theory can be traced to Laplace, the formalization started with insurance mathematics, namely ruin theory with Cramér and Lundberg. A unified formalization of large deviation theory was developed in 1966, in a paper by Varadhan. Large deviations theory formalizes the heuristic ideas of ''concentration of measures'' and widely generalizes the notion of convergence of probability measures. Roughly speaking, large deviations theory concerns itself with the exponential decline of the probability measures of certain kinds of extreme or ''tail'' events. Introductory examples An elementary example Consider a sequence of independent tosses of a fair coin. The possible outcomes could be heads or tails. Let us denote the possible outcome of the i-th trial by where we encode head as 1 and tail as 0. Now let M_N ...
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