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Nicholas II Bernoulli
Nicolaus II Bernoulli (also spelled as Niklaus or Nikolaus; 6 February 1695 in Basel – 31 July 1726 in Saint Petersburg) was a Swiss mathematician as were his father Johann Bernoulli and one of his brothers, Daniel Bernoulli. He was one of the many prominent mathematicians in the Bernoulli family. Work Nicolaus worked mostly on curves, differential equations, and probability. He was a friend and contemporary of Leonhard Euler, who studied under Nicolaus' father. He also contributed to fluid dynamics. He was older brother of Daniel Bernoulli, to whom he also taught mathematics. Even in his youth he had learned several languages. From the age of 13, he studied mathematics and law at the University of Basel. In 1711 he received his Master's of Philosophy; in 1715 he received a Doctorate in Law. In 1716-17 he was a private tutor in Venice. From 1719 he had the Chair in Mathematics at the University of Padua, as the successor of Giovanni Poleni. He served as an assistant to his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernoulli Nicolaus(II)
Bernoulli can refer to: People *Bernoulli family of 17th and 18th century Swiss mathematicians: **Daniel Bernoulli (1700–1782), developer of Bernoulli's principle **Jacob Bernoulli (1654–1705), also known as Jacques, after whom Bernoulli numbers are named **Jacob II Bernoulli (1759–1789) **Johann Bernoulli (1667–1748) **Johann II Bernoulli (1710–1790) **Johann III Bernoulli (1744–1807), also known as Jean, astronomer **Nicolaus I Bernoulli (1687–1759) **Nicolaus II Bernoulli (1695–1726) *Elisabeth Bernoulli (1873–1935), Swiss temperance campaigner *Hans Benno Bernoulli (1876–1959), Swiss architect *Ludwig Bernoully (1873–1928), German architect Mathematics * Bernoulli differential equation * Bernoulli distribution and Bernoulli random variable * Bernoulli's inequality * Bernoulli's triangle * Bernoulli number * Bernoulli polynomials * Bernoulli process * Bernoulli trial * Lemniscate of Bernoulli * ''Bernoulli'', a journal published by the Bernoulli Society for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Giovanni Poleni
Giovanni Poleni (; 23 August 1683 – 15 November 1761) was a Marquess, physicist, mathematician and antiquarian. Early life He was the son of Marquess Jacopo Poleni and studied the classics, philosophy, theology, mathematics, and physics at the School of the Somaschi Fathers, Venice. Career He was appointed, at the age of twenty-five, professor of astronomy at Padua. In 1715 he was assigned to the chair of physics, and in 1719 he succeeded Nicholas II Bernoulli as professor of mathematics. As an expert in hydraulic engineering he was charged by the Venetian Senate with the care of the waters of lower Lombardy and with the constructions necessary to prevent floods. He was also repeatedly called in to decide cases between sovereigns whose states were bordered by waterways. Poleni was the first to build a Pinwheel calculator, calculator that used a pinwheel design. Made of wood, his ''calculating clock'' was built in 1709; he destroyed it after hearing that :de:Anton Braun ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swiss Calvinist And Reformed Christians
Swiss most commonly refers to: * the adjectival form of Switzerland *Swiss people Swiss may also refer to: Places * Swiss, Missouri * Swiss, North Carolina * Swiss, West Virginia * Swiss, Wisconsin Other uses * Swiss Café, an old café located in Baghdad, Iraq * Swiss-system tournament, in various games and sports * Swiss International Air Lines **Swiss Global Air Lines, a subsidiary *Swissair, former national air line of Switzerland * .swiss alternative TLD for Switzerland See also *Swiss made, label for Swiss products *Swiss cheese (other) *Switzerland (other) *Languages of Switzerland, none of which are called "Swiss" *International Typographic Style, also known as Swiss Style, in graphic design *Schweizer (other), meaning Swiss in German *Schweitzer Schweitzer is a surname. Notable people with the surname include: * Albert Schweitzer (1875–1965), German theologian, musician, physician, and medical missionary, winner of the 1952 Nobel Peace Pri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theorists
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."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, . This number is often expressed as a percentage (%), ranging from 0% to 100%. 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 as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysts
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to prove properties of objects, a ''proof'' consisting of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstracti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1726 Deaths
Events January–March * January 23 – (January 12 Old Style) The Conventicle Act (Sweden), Conventicle Act (''Konventikelplakatet'') is adopted in Sweden, outlawing all non-Lutheran religious meetings outside of church services. * January 26 – The Peace of Vienna (1725), First Treaty of Vienna is signed between Habsburg monarchy, Austria, the Holy Roman Empire and History of Spain (1700-1810), Spain, creating the Austro-Spanish Alliance in advance of a war against Great Britain. * January 27 – On its maiden voyage, the Dutch East India Company frigate Aagtekerke (1724), ''Aagtekerke'' departs from the Dutch Cape Colony on the second leg of its journey to the Dutch East Indies and is never seen again. ''Aagtekerke'' had carried with it a crew of 200 men and was lost somewhere in the Indian Ocean. * February 8 – The Supreme Privy Council is established in Russian Empire, Russia. * February 13 – The Parliament of Negrete (1726), Parliament ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1695 Births
Events January–March * January 7 (December 28, 1694 O.S.) – The United Kingdom's last joint monarchy, the reign of husband-and-wife William III of England, King William III and Mary II of England, Queen Mary II comes to an end with the death of Queen Mary, at the age of 32. Princess Mary had been installed as the monarch along with her husband and cousin, Willem Hendrik von Oranje, Stadtholder of the Dutch Republic, in 1689 after James II of England, King James II was deposed by Willem during the "Glorious Revolution". * January 14 (January 4 O.S.) – The Royal Navy warship HMS Nonsuch (1668), HMS ''Nonsuch'' is captured near England's Isles of Scilly by the 48-gun French privateer ''Le Francois''. ''Nonsuch'' is then sold to the French Navy and renamed ''Le Sans Pareil''. * January 24 – Milan's Royal Palace of Milan#17th and 18th centuries, Court Theater is destroyed in a fire. * January 27 – A flotilla of six Royal Navy warships under the command of Commodo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernoulli Trial
In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. It is named after Jacob Bernoulli, a 17th-century Swiss mathematician, who analyzed them in his ' (1713). The mathematical formalization and advanced formulation of the Bernoulli trial is known as the Bernoulli process. Since a Bernoulli trial has only two possible outcomes, it can be framed as a "yes or no" question. For example: *Is the top card of a shuffled deck an ace? *Was the newborn child a girl? (See human sex ratio.) Success and failure are in this context labels for the two outcomes, and should not be construed literally or as value judgments. More generally, given any probability space, for any event (set of outcomes), one can define a Bernoulli trial according to whether the event occurred or not (event or c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernoulli Process
In probability and statistics, a Bernoulli process (named after Jacob Bernoulli) is a finite or infinite sequence of binary random variables, so it is a discrete-time stochastic process that takes only two values, canonically 0 and 1. The component Bernoulli variables ''X''''i'' are identically distributed and independent. Prosaically, a Bernoulli process is a repeated coin flipping, possibly with an unfair coin (but with consistent unfairness). Every variable ''X''''i'' in the sequence is associated with a Bernoulli trial or experiment. They all have the same Bernoulli distribution. Much of what can be said about the Bernoulli process can also be generalized to more than two outcomes (such as the process for a six-sided die); this generalization is known as the Bernoulli scheme. The problem of determining the process, given only a limited sample of Bernoulli trials, may be called the problem of checking whether a coin is fair. Definition A ''Bernoulli process'' is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernoulli Distribution
In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the value 1 with probability p and the value 0 with probability q = 1-p. Less formally, it can be thought of as a model for the set of possible outcomes of any single experiment that asks a yes–no question. Such questions lead to outcome (probability), outcomes that are Boolean-valued function, Boolean-valued: a single bit whose value is success/yes and no, yes/Truth value, true/Binary code, one with probability ''p'' and failure/no/false (logic), false/Binary code, zero with probability ''q''. It can be used to represent a (possibly biased) coin toss where 1 and 0 would represent "heads" and "tails", respectively, and ''p'' would be the probability of the coin landing on heads (or vice versa where 1 would represent tails and ''p'' would be the probability of tails). In particular, unfair co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peter The Great
Peter I (, ; – ), better known as Peter the Great, was the Sovereign, Tsar and Grand Prince of all Russia, Tsar of all Russia from 1682 and the first Emperor of Russia, Emperor of all Russia from 1721 until his death in 1725. He reigned jointly with his half-brother Ivan V of Russia, Ivan V until 1696. From this year, Peter was an Absolute monarchy, absolute monarch, an autocrat who remained the ultimate authority and organized a well-ordered police state. Much of Peter's reign was consumed by lengthy wars against the Ottoman Empire, Ottoman and Swedish Empire, Swedish empires. His Azov campaigns were followed by the foundation of the Imperial Russian Navy, Russian Navy; after his victory in the Great Northern War, Russia annexed a Treaty of Nystad, significant portion of the eastern Baltic Sea, Baltic coastline and was officially renamed from a Tsardom of Russia, tsardom to an Russian Empire, empire. Peter led a cultural revolution that replaced some of the traditionalist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Orthogonal Trajectories
In mathematics, an orthogonal trajectory is a curve which intersects any curve of a given pencil of (planar) curves ''orthogonally''. For example, the orthogonal trajectories of a pencil of ''concentric circles'' are the lines through their common center (see diagram). Suitable methods for the determination of orthogonal trajectories are provided by solving differential equations. The standard method establishes a first order ordinary differential equation and solves it by separation of variables. Both steps may be difficult or even impossible. In such cases one has to apply numerical methods. Orthogonal trajectories are used in mathematics, for example as curved coordinate systems (i.e. elliptic coordinates) and appear in physics as electric fields and their equipotential curves. If the trajectory intersects the given curves by an arbitrary (but fixed) angle, one gets an isogonal trajectory. Determination of the orthogonal trajectory In cartesian coordinates Generally, o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
