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1770 In Science
The year 1770 in science and technology involved some significant events. Astronomy * July 1 – Lexell's Comet passes closer to the Earth than any other comet in recorded history, approaching to a distance of 0.015 Astronomical unit, AU. It is observed by Charles Messier between June 14 and October 3. Biology * Arthur Young (writer), Arthur Young publishes ''A Course of Experimental Agriculture'' in England. Chemistry * Benjamin Rush publishes ''Syllabus of a Course of Lectures on Chemistry'' in Philadelphia, the first chemistry textbook in North America. Exploration * March 26 – First voyage of James Cook: English explorer Captain James Cook and his crew aboard complete the circumnavigation of New Zealand. * April 18 (April 19 by Cook's log) – Captain Cook and his crew become the first recorded Europeans to encounter the eastern coastline of the Australian continent. * April 28 (April 29 by Cook's log) – Captain Cook drops anchor in a wide bay about 16 km (10 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Science
Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe. Science may be as old as the human species, and some of the earliest archeological evidence for scientific reasoning is tens of thousands of years old. The earliest written records in the history of science come from Ancient Egypt and Mesopotamia in around 3000 to 1200 BCE. Their contributions to mathematics, astronomy, and medicine entered and shaped Greek natural philosophy of classical antiquity, whereby formal attempts were made to provide explanations of events in the physical world based on natural causes. After the fall of the Western Roman Empire, knowledge of Greek conceptions of the world deteriorated in Western Europe during the early centuries (400 to 1000 CE) of the Middle Ages, but was preserved in the Muslim world during the Islamic Golden Age and later by the efforts of Byzantine Greek scholars who brought Greek ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sydney
Sydney ( ) is the capital city of the state of New South Wales, and the most populous city in both Australia and Oceania. Located on Australia's east coast, the metropolis surrounds Sydney Harbour and extends about towards the Blue Mountains to the west, Hawkesbury to the north, the Royal National Park to the south and Macarthur to the south-west. Sydney is made up of 658 suburbs, spread across 33 local government areas. Residents of the city are known as "Sydneysiders". The 2021 census recorded the population of Greater Sydney as 5,231,150, meaning the city is home to approximately 66% of the state's population. Estimated resident population, 30 June 2017. Nicknames of the city include the 'Emerald City' and the 'Harbour City'. Aboriginal Australians have inhabited the Greater Sydney region for at least 30,000 years, and Aboriginal engravings and cultural sites are common throughout Greater Sydney. The traditional custodians of the land on which modern Sydney stands are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Resolvent (Galois Theory)
In Galois theory, a discipline within the field of abstract algebra, a resolvent for a permutation group ''G'' is a polynomial whose coefficients depend polynomially on the coefficients of a given polynomial ''p'' and has, roughly speaking, a rational root if and only if the Galois group of ''p'' is included in ''G''. More exactly, if the Galois group is included in ''G'', then the resolvent has a rational root, and the converse is true if the rational root is a simple root. Resolvents were introduced by Joseph Louis Lagrange and systematically used by Évariste Galois. Nowadays they are still a fundamental tool to compute Galois groups. The simplest examples of resolvents are * X^2-\Delta where \Delta is the discriminant, which is a resolvent for the alternating group. In the case of a cubic equation, this resolvent is sometimes called the quadratic resolvent; its roots appear explicitly in the formulas for the roots of a cubic equation. * The cubic resolvent of a quartic equati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Equation
In mathematics, an algebraic equation or polynomial equation is an equation of the form :P = 0 where ''P'' is a polynomial with coefficients in some field, often the field of the rational numbers. For many authors, the term ''algebraic equation'' refers only to ''univariate equations'', that is polynomial equations that involve only one variable. On the other hand, a polynomial equation may involve several variables. In the case of several variables (the ''multivariate'' case), the term ''polynomial equation'' is usually preferred to ''algebraic equation''. For example, :x^5-3x+1=0 is an algebraic equation with integer coefficients and :y^4 + \frac - \frac + xy^2 + y^2 + \frac = 0 is a multivariate polynomial equation over the rationals. Some but not all polynomial equations with rational coefficients have a solution that is an algebraic expression that can be found using a finite number of operations that involve only those same types of coefficients (that is, can be solved alg ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elimination Theory
Elimination may refer to: Science and medicine *Elimination reaction, an organic reaction in which two functional groups split to form an organic product *Bodily waste elimination, discharging feces, urine, or foreign substances from the body via defecation, urination, and emesis *Drug elimination, clearance of a drug or other foreign agent from the body *Elimination, the destruction of an infectious disease in one region of the world as opposed to its eradication from the entire world *Hazard elimination, the most effective type of hazard control * Elimination (pharmacology), processes by which a drug is eliminated from an organism Logic and mathematics * Elimination theory, the theory of the methods to eliminate variables between polynomial equations. * Disjunctive syllogism, a rule of inference * Gaussian elimination, a method of solving systems of linear equations * Fourier–Motzkin elimination, an algorithm for reducing systems of linear inequalities * Process of e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaJoseph-Louis Lagrange, comte de l’Empire ''Encyclopædia Britannica'' or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an and , later naturalized [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Borda Count
The Borda count is a family of positional voting rules which gives each candidate, for each ballot, a number of points corresponding to the number of candidates ranked lower. In the original variant, the lowest-ranked candidate gets 0 points, the next-lowest gets 1 point, etc., and the highest-ranked candidate gets ''n'' − 1 points, where ''n'' is the number of candidates. Once all votes have been counted, the option or candidate with the most points is the winner. The Borda count is intended to elect broadly acceptable options or candidates, rather than those preferred by a majority, and so is often described as a consensus-based voting system rather than a majoritarian one. The Borda count was developed independently several times, being first proposed in 1435 by Nicholas of Cusa (see History below), but is named for the 18th-century French mathematician and naval engineer Jean-Charles de Borda, who devised the system in 1770. It is currently used to elect two ethnic minority ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Electoral System
An electoral system or voting system is a set of rules that determine how elections and Referendum, referendums are conducted and how their results are determined. Electoral systems are used in politics to elect governments, while non-political elections may take place in business, Nonprofit organization, non-profit organisations and informal organisations. These rules govern all aspects of the voting process: when elections occur, suffrage, who is allowed to vote, who can stand as a candidate, voting method, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on campaign finance, campaign spending, and other factors that can affect the result. Political electoral systems are defined by constitutions and electoral laws, are typically conducted by election commissions, and can use multiple types of elections for different offices. Some electoral systems elect a single winner to a unique position, such as prime ministe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean-Charles De Borda
Jean-Charles, chevalier de Borda (4 May 1733 – 19 February 1799) was a French mathematician, physicist, and Navy officer. Biography Borda was born in the city of Dax to Jean‐Antoine de Borda and Jeanne‐Marie Thérèse de Lacroix. In 1756, Borda wrote ''Mémoire sur le mouvement des projectiles'', a product of his work as a military engineer. For that, he was elected to the French Academy of Sciences in 1764. Borda was a mariner and a scientist, spending time in the Caribbean testing out advances in chronometers. Between 1777 and 1778, he participated in the American Revolutionary War. In 1781, he was put in charge of several vessels in the French Navy. In 1782, he was captured by the English, and was returned to France shortly after. He returned as an engineer in the French Navy, making improvements to waterwheels and pumps. He was appointed as France's Inspector of Naval Shipbuilding in 1784, and with the assistance of the naval architect Jacques-Noël Sané in 17 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Guinea
New Guinea (; Hiri Motu Hiri Motu, also known as Police Motu, Pidgin Motu, or just Hiri, is a language of Papua New Guinea, which is spoken in surrounding areas of Port Moresby (Capital of Papua New Guinea). It is a simplified version of Motu, from the Austronesian l ...: ''Niu Gini''; id, Papua, or , historically ) is the List of islands by area, world's second-largest island with an area of . Located in Oceania in the southwestern Pacific Ocean, the island is separated from Mainland Australia, Australia by the wide Torres Strait, though both landmasses lie on the same continental shelf. Numerous smaller islands are located to the west and east. The eastern half of the island is the major land mass of the independent state of Papua New Guinea. The western half, known as Western New Guinea, forms a part of Indonesia and is organized as the provinces of Papua (province), Papua, Central Papua, Highland Papua, South Papua, Southwest Papua, and West Papua (province), West ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Holland (Australia)
''New Holland'' ( nl, Nieuw-Holland) is a historical European name for mainland Australia. The name was first applied to Australia in 1644 by the Dutch seafarer Abel Tasman. The name came for a time to be applied in most European maps to the vaunted "Southern land" or ''Terra Australis'' even after its coastline was finally explored. The continent of Antarctica, later named in the 1890s, was still in largely speculative form; it resumed the name ''Terra Australis'' (sometimes suffixed ''Non Cognita'', unknown). Its existence had been speculated on in some maps since the 5th century, under the theory of "balancing hemispheres". Lieutenant James Cook, captain of HMS ''Endeavour'', claimed the eastern portion of the Australian continent for the British Crown in 1770, naming it New South Wales. The British settlement of Sydney as a colony in 1788 prompted Britain to formally claim the east coast as New South Wales, leading to a search for a new collective name. New Holland ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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