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Harold Jeffreys
Sir Harold Jeffreys, FRS (22 April 1891 – 18 March 1989) was a British mathematician, statistician, geophysicist, and astronomer. His book, ''Theory of Probability'', which was first published in 1939, played an important role in the revival of the objective Bayesian view of probability. Education Jeffreys was born in Fatfield, County Durham, England, the son of Robert Hal Jeffreys, headmaster of Fatfield Church School, and his wife, Elizabeth Mary Sharpe, a school teacher. He was educated at his father's school then studied at Armstrong College in Newcastle upon Tyne, then part of the University of Durham, and with the University of London External Programme. Career Jeffreys became a fellow of St John's College, Cambridge in 1914. At the University of Cambridge he taught mathematics, then geophysics and finally became the Plumian Professor of Astronomy. In 1940 he married fellow mathematician and physicist, Bertha Swirles (1903–1999), and together they wrote ''Methods ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fatfield
Fatfield is an area of Washington, Tyne and Wear, England. The southern part of the village by the River Wear is popular for country walks and the three public houses and working men's club on the banks of the river. The site of the original village is just to the west. Mine disaster In 1814, the Hall Pit in Fatfield exploded with the loss of 32 lives. At 12:30 on Tuesday 28 September a fall of stone from the roof drove firedamp into contact with candles used by the miners for illumination. All the men below ground were killed, as was one of the four men in the shaft at the time. Contemporary reports refer to the survivors being affected by the afterdamp. Although the colliery was claimed (by, for instance, the colliery overman) to be safe and well worked, there had been three previous explosions of firedamp which had each killed three men. Education Fatfield Primary School is located on Southcroft and educates around 235 pupils aged 4–11. The school has Investors in Peopl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bertha Swirles
Bertha Swirles, Lady Jeffreys (22 May 1903 – 18 December 1999) was an English physicist, academic and scientific author who carried out research on quantum theory in its early days. She was associated with Girton College, University of Cambridge, as student and Fellow, for over 70 years. Biography Bertha Swirles was born in Northampton in 1903 to Harriett ''née'' Blaxley (born around 1873), a primary school teacher, and William Alexander Swirles (b. 1878), a leather salesman. She was educated at Northampton School for Girls and in 1921 matriculated at Girton College to study mathematics, graduating with first class honours. She became a research student of quantum theory partly under Ralph Fowler at the University of Cambridge, one of a distinguished company of his students that included Paul Dirac and Subrahmanyan Chandrasekhar. She also carried out research at the University of Göttingen under Max Born and Werner Heisenberg. She received her PhD in 1929, by which time ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Planetary Core
A planetary core consists of the innermost layers of a planet. Cores may be entirely solid or entirely liquid, or a mixture of solid and liquid layers as is the case in the Earth. In the Solar System, core sizes range from about 20% (the Moon) to 85% of a planet's radius (Mercury). Gas giants also have cores, though the composition of these are still a matter of debate and range in possible composition from traditional stony/iron, to ice or to fluid metallic hydrogen. Gas giant cores are proportionally much smaller than those of terrestrial planets, though they can be considerably larger than the Earth's nevertheless; Jupiter's is 10–30 times heavier than Earth, and exoplanet HD149026 b may have a core 100 times the mass of the Earth. Planetary cores are challenging to study because they are impossible to reach by drill and there are almost no samples that are definitively from the core. Thus, they are studied via indirect techniques such as seismology, mineral physics, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jeffreys Prior
In Bayesian probability, the Jeffreys prior, named after Sir Harold Jeffreys, is a non-informative (objective) prior distribution for a parameter space; its density function is proportional to the square root of the determinant of the Fisher information matrix: : p\left(\vec\theta\right) \propto \sqrt.\, It has the key feature that it is invariant under a change of coordinates for the parameter vector \vec\theta. That is, the relative probability assigned to a volume of a probability space using a Jeffreys prior will be the same regardless of the parameterization used to define the Jeffreys prior. This makes it of special interest for use with ''scale parameters''. Reparameterization One-parameter case If \theta and \varphi are two possible parametrizations of a statistical model, and \theta is a continuously differentiable function of \varphi, we say that the prior p_\theta(\theta) is "invariant" under a reparametrization if :p_\varphi(\varphi) = p_\theta(\theta) \left, \frac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plumian Professor Of Astronomy
The Plumian chair of Astronomy and Experimental Philosophy is one of the major professorships in Astronomy at Cambridge University, alongside the Lowndean Professorship (which is now mainly held by mathematicians). The chair is currently held at the Institute of Astronomy in the University. The Plumian chair was founded in 1704 by Thomas Plume, a member of Christ's and Archdeacon of Rochester, to "erect an Observatory and to maintain a studious and learned Professor of Astronomy and Experimental Philosophy, and to buy him and his successors utensils and instruments quadrants telescopes etc." Trustees were appointed, and statutes drawn up by Isaac Newton, John Flamsteed and John Ellys. The first Professorship was awarded in 1706 to Roger Cotes, a former student of Newton, and the stipend was increased in 1768 by Dr Robert Smith, the second Plumian Professor. Plumian Professors # Roger Cotes (1706–1716) # Robert Smith (1716–1760) # Anthony Shepherd (1760–1796) # Samuel Vin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Cambridge
, mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Scholars of the University of Cambridge , type = Public research university , endowment = £7.121 billion (including colleges) , budget = £2.308 billion (excluding colleges) , chancellor = The Lord Sainsbury of Turville , vice_chancellor = Anthony Freeling , students = 24,450 (2020) , undergrad = 12,850 (2020) , postgrad = 11,600 (2020) , city = Cambridge , country = England , campus_type = , sporting_affiliations = The Sporting Blue , colours = Cambridge Blue , website = , logo = University of Cambridge logo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
St John's College, Cambridge
St John's College is a Colleges of the University of Cambridge, constituent college of the University of Cambridge founded by the House of Tudor, Tudor matriarch Lady Margaret Beaufort. In constitutional terms, the college is a charitable corporation established by a charter dated 9 April 1511. The full, formal name of the college is the College of St John the Evangelist in the University of Cambridge. The aims of the college, as specified by its statutes, are the promotion of education, religion, learning and research. It is one of the larger Oxbridge colleges in terms of student numbers. For 2022, St John's was ranked 6th of 29 colleges in the Tompkins Table (the annual league table of Cambridge colleges) with over 35 per cent of its students earning British undergraduate degree classification#Degree classification, first-class honours. College alumni include the winners of twelve Nobel Prizes, seven prime ministers and twelve archbishops of various countries, at least two pri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of London External Programme
The University of London Worldwide (previously called the University of London International Academy) is the central academic body that manages external study programmes within the collegiate university, federal University of London. All courses are branded as simply "University of London", having previously been "University of London International Programmes" and earlier "University of London External Programmes". It claims to be the world's oldest distance and flexible learning body, established under the University of London's royal charter of 1858, although academics have disputed whether it offered distance learning at that time. Several member institutions of the University of London offer degrees through the programme, including Birkbeck, University of London, Birkbeck, Goldsmiths, University of London, Goldsmiths, King's College London, London School of Economics, London School of Hygiene & Tropical Medicine, Queen Mary, University of London, Queen Mary, Royal Holloway, Un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Durham University
, mottoeng = Her foundations are upon the holy hills (Psalm 87:1) , established = (university status) , type = Public , academic_staff = 1,830 (2020) , administrative_staff = 2,640 (2018/19) , chancellor = Sir Thomas Allen , vice_chancellor = Karen O’Brien , city = Durham and Stockton-on-Tees , state = , country = England , campus_size = , students = () , undergrad = () , postgrad = () , free_label = Student newspaper , free = '' Palatinate'' , colours = Palatinate , endowment = £98.2 million , budget = £393.2 million , academic_affiliations = Russell Group ACU Coimbra Group EUA N8 Group Matariki Network of Universities University of the ArcticUniversities UK Virgo Consortium , sporting_affiliations = BUCS, Wallace Group , sports_free_label = Sports team , sports_free = Team Durham , website = , logo = , embedded = Durham University (legally the University of Durham) is a collegiate public research university ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Newcastle Upon Tyne
Newcastle upon Tyne ( RP: , ), or simply Newcastle, is a city and metropolitan borough in Tyne and Wear, England. The city is located on the River Tyne's northern bank and forms the largest part of the Tyneside built-up area. Newcastle is also the most populous city of North East England. Newcastle developed around a Roman settlement called Pons Aelius and the settlement later took the name of a castle built in 1080 by William the Conqueror's eldest son, Robert Curthose. Historically, the city’s economy was dependent on its port and in particular, its status as one of the world's largest ship building and repair centres. Today, the city's economy is diverse with major economic output in science, finance, retail, education, tourism, and nightlife. Newcastle is one of the UK Core Cities, as well as part of the Eurocities network. Famous landmarks in Newcastle include the Tyne Bridge; the Swing Bridge; Newcastle Castle; St Thomas’ Church; Grainger Town including G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayesian Probability
Bayesian probability is an Probability interpretations, interpretation of the concept of probability, in which, instead of frequentist probability, frequency or propensity probability, propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief. The Bayesian interpretation of probability can be seen as an extension of propositional logic that enables reasoning with Hypothesis, hypotheses; that is, with propositions whose truth value, truth or falsity is unknown. In the Bayesian view, a probability is assigned to a hypothesis, whereas under frequentist inference, a hypothesis is typically tested without being assigned a probability. Bayesian probability belongs to the category of evidential probabilities; to evaluate the probability of a hypothesis, the Bayesian probabilist specifies a prior probability. This, in turn, is then updated to a posterior probability in the light of new, re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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