|
Gabriele Manfredi
Gabriele Manfredi (25 March 1681 – 13 October 1761) was an Italian mathematician who undertook important work in the field of calculus. Early years Gabriele Manfredi was born in Bologna, then in the Papal States, on 25 March 1681. He was the son of Alfonso Manfredi, a notary from Lugo, Emilia-Romagna, and Anna Maria Fiorini. His elder brother Eustachio studied law, then turned to science. Gabriele and his brother Eraclito studied medicine, while his fourth brother Emilio became a Jesuit preacher. His two sisters Maddalena and Teresa were also well educated, and later collaborated with their brothers in their work. Gabriele became uncomfortable with the study of anatomy, and turned to other subjects before he and Eustachio were introduced to the new subject of differential calculus. Mathematician Manfredi was one of a group of young men at the University who became interested in the techniques of Cartesian geometry and differential calculus, and who engaged in experime ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bologna
Bologna (, , ; egl, label= Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 150 different nationalities. Its metropolitan area is home to more than 1,000,000 people. It is known as the Fat City for its rich cuisine, and the Red City for its Spanish-style red tiled rooftops and, more recently, its leftist politics. It is also called the Learned City because it is home to the oldest university in the world. Originally Etruscan, the city has been an important urban center for centuries, first under the Etruscans (who called it ''Felsina''), then under the Celts as ''Bona'', later under the Romans (''Bonōnia''), then again in the Middle Ages, as a free municipality and later ''signoria'', when it was among the largest European cities by population. Famous for its towers, churches and lengthy porticoes, Bologna has a well-preserved ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pietro Ottoboni (cardinal)
Pietro Ottoboni (2 July 1667 – 28 February 1740) was an Italian cardinal and grandnephew of Pope Alexander VIII, who was also born Pietro Ottoboni. He is remembered especially as a great patron of music and art. Ottoboni was the last person to hold the curial office of Cardinal-nephew, which was abolished by Alexander's successor, Pope Innocent XII, in 1692. Ottoboni '"loved pomp, prodigality, and sensual pleasure, but was in the same time kind, ready to serve and charitable". Overview Pietro was born in Venice to the noble Ottoboni family, whose most prominent member had been his granduncle Pope Alexander VIII (1689–1691). The family bought their way into Venetian nobility in the 17th century. He received the clerical tonsure and minor orders on 20 October 1689 and was created cardinal deacon in the consistory of 7 November 1689, receiving the red hat on 14 November. He was superintendent general of the affairs of the Apostolic See and governor of the cities of Fermo an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1761 Deaths
Events January–March * January 14 – Third Battle of Panipat: Ahmad Shah Durrani and his coalition decisively defeat the Maratha Confederacy, and restore the Mughal Empire to Shah Alam II. * January 16 – Siege of Pondicherry (1760) ended: The British capture Pondichéry, India from the French. * February 8 – An earthquake in London breaks chimneys in Limehouse and Poplar. * March 8 – A second earthquake occurs in North London, Hampstead and Highgate. * March 31 – 1761 Portugal earthquake: A magnitude 8.5 earthquake strikes Lisbon, Portugal, with effects felt as far north as Scotland. April–June * April 1 – The Austrian Empire and the Russian Empire sign a new treaty of alliance. * April 4 – A severe epidemic of influenza breaks out in London and "practically the entire population of the city" is afflicted; particularly contagious to pregnant women, the disease causes an unusual number of miscarriages and prema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1681 Births
Events January–March * January 1 – Prince Muhammad Akbar, son of the Mughal Emperor Aurangzeb, initiates a civil war in India. With the support of troops from the Rajput states, Akbar declares himself the new Mughal Emperor and prepares to fight his father, but is ultimately defeated. * January 3 – The Treaty of Bakhchisarai is signed, between the Ottoman vassal Crimean Khanate and the Russian Empire. * January 18 – The "Exclusion Bill Parliament", summoned by King Charles II of England in October, is dissolved after three months, with directions that new elections be held, and that a new parliament be convened in March in Oxford. * February 2 – In India, the Mughal Empire city of Burhanpur (now in the Indian state of Madhya Pradesh) is sacked and looted by troops of the Maratha Empire on orders of the Maratha emperor, the Chhatrapati Sambhaji. General Hambirrao Mohite began the pillaging three days earlier. * March 4 – King Char ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homogeneous Differential Equation
A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written :f(x,y) \, dy = g(x,y) \, dx, where and are homogeneous functions of the same degree of and . In this case, the change of variable leads to an equation of the form :\frac = h(u) \, du, which is easy to solve by integration of the two members. Otherwise, a differential equation is homogeneous if it is a homogeneous function of the unknown function and its derivatives. In the case of linear differential equations, this means that there are no constant terms. The solutions of any linear ordinary differential equation of any order may be deduced by integration from the solution of the homogeneous equation obtained by removing the constant term. History The term ''homogeneous'' was first applied to differential equations by Johann Bernoulli in section 9 of his 1726 article ''De integraionibus aequationum differentialium'' (On t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integral
In mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ..., an integral assigns numbers to functions in a way that describes Displacement (geometry), displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with Derivative, differentiation, integration is a fundamental, essential operation of calculus,Integral calculus is a very well established mathematical discipline for which there are many sources. See and , for example. and serves as a tool to solve problems in mathematics and physics involving the area of an arbitrary shape, the length of a curve, and the volume of a solid, among others. The integrals enumerated here are those termed definite integrals, which can be int ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including (ε, δ)-definition of limit, codify ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
13225 Manfredi
Thirteen or 13 may refer to: * 13 (number), the natural number following 12 and preceding 14 * One of the years 13 BC, AD 13, 1913, 2013 Music * 13AD (band), an Indian classic and hard rock band Albums * ''13'' (Black Sabbath album), 2013 * ''13'' (Blur album), 1999 * ''13'' (Borgeous album), 2016 * ''13'' (Brian Setzer album), 2006 * ''13'' (Die Ärzte album), 1998 * ''13'' (The Doors album), 1970 * ''13'' (Havoc album), 2013 * ''13'' (HLAH album), 1993 * ''13'' (Indochine album), 2017 * ''13'' (Marta Savić album), 2011 * ''13'' (Norman Westberg album), 2015 * ''13'' (Ozark Mountain Daredevils album), 1997 * ''13'' (Six Feet Under album), 2005 * ''13'' (Suicidal Tendencies album), 2013 * ''13'' (Solace album), 2003 * ''13'' (Second Coming album), 2003 * ''13'' (Ces Cru EP), 2012 * ''13'' (Denzel Curry EP), 2017 * ''Thirteen'' (CJ & The Satellites album), 2007 * ''Thirteen'' (Emmylou Harris album), 1986 * ''Thirteen'' (Harem Scarem album), 2014 * ''Thirte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gregorian Calendar
The Gregorian calendar is the calendar used in most parts of the world. It was introduced in October 1582 by Pope Gregory XIII as a modification of, and replacement for, the Julian calendar. The principal change was to space leap years differently so as to make the average calendar year 365.2425 days long, more closely approximating the 365.2422-day 'tropical' or 'solar' year that is determined by the Earth's revolution around the Sun. The rule for leap years is: There were two reasons to establish the Gregorian calendar. First, the Julian calendar assumed incorrectly that the average solar year is exactly 365.25 days long, an overestimate of a little under one day per century, and thus has a leap year every four years without exception. The Gregorian reform shortened the average (calendar) year by 0.0075 days to stop the drift of the calendar with respect to the equinoxes.See Wikisource English translation of the (Latin) 1582 papal bull '' Inter gravissimas''. Second, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Santa Maria Degli Angeli E Dei Martiri
The Basilica of St. Mary of the Angels and of the Martyrs ( la, Beatissimae Virginis et omnium Angelorum et Martyrum, it, Santa Maria degli Angeli e dei Martiri) is a basilica and titular church in Rome, Italy, built inside the ruined ''frigidarium'' of the Roman Baths of Diocletian in the Piazza della Repubblica, Rome, Piazza della Repubblica. It was constructed in the 16th century following an original design by Michelangelo Buonarroti. Other architects and artists added to the church over the following centuries. During the Kingdom of Italy, the church was used for religious state functions. Description The basilica is dedicated to the Christian martyrs, known and unknown. By a brief dated 27 July 1561, Pius IV ordered the church "built", to be dedicated to the ''Beatissimae Virgini et omnium Angelorum et Martyrum'' ("the Most Blessed Virgin of all the Angels and Martyrs"). Impetus for this dedication had been generated by the account of a purported vision of experience ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
