Daniel Da Silva (mathematician)
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Daniel Da Silva (mathematician)
Daniel da Silva (16 May 1814 – 6 October 1878) was a Portuguese mathematician and marine officer. Born in Lisbon, he completed his first studies at the Portuguese Royal Naval Academy, and then proceeded his education in Mathematics at the University of Coimbra where he became a doctor. He was a pioneer in the development of theory of couple in Classical mechanics and in Actuarial science. Bibliography Daniel Augusto da Silva was born in Lisbon on 16 May 1814. At the age of 15, he enrolled in Portugal's Royal Navy Academy, where he took courses on Mathematics and Physics. In 1832 he entered in Portugal's Royal Academy of Marine Guards, and was appointed Navy Officer in 1833. After finishing his degree in the Royal Academy in 1835, he enrolled in the Mathematics Faculty of University of Coimbra. In 1839, he concluded his bachelor's degree. After finishing his studies in Coimbra, Daniel da Silva returned to Lisbon to follow a career in Navy. In 1845, the Portugal's Royal Academy ...
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Daniel Augusto Da Silva
Daniel is a masculine given name and a surname of Hebrew origin. It means "God is my judge"Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 68. (cf. Gabriel—"God is my strength"), and derives from two early biblical figures, primary among them Daniel from the Book of Daniel. It is a common given name for males, and is also used as a surname. It is also the basis for various derived given names and surnames. Background The name evolved into over 100 different spellings in countries around the world. Nicknames (Dan, Danny) are common in both English and Hebrew; "Dan" may also be a complete given name rather than a nickname. The name "Daniil" (Даниил) is common in Russia. Feminine versions (Danielle, Danièle, Daniela, Daniella, Dani, Danitza) are prevalent as well. It has been particularly well-used in Ireland. The Dutch names "Daan" and "Daniël" are also variations of Daniel. A related surname developed ...
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People From Lisbon
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ...
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1878 Deaths
Events January–March * January 5 – Russo-Turkish War – Battle of Shipka Pass IV: Russian and Bulgarian forces defeat the Ottoman Empire. * January 9 – Umberto I becomes King of Italy. * January 17 – Battle of Philippopolis: Russian troops defeat the Turks. * January 23 – Benjamin Disraeli orders the British fleet to the Dardanelles. * January 24 – Russian revolutionary Vera Zasulich shoots at Fyodor Trepov, Governor of Saint Petersburg. * January 28 – ''The Yale News'' becomes the first daily college newspaper in the United States. * January 31 – Turkey agrees to an armistice at Adrianople. * February 2 – Greece declares war on the Ottoman Empire. * February 7 – Pope Pius IX dies, after a 31½ year reign (the longest definitely confirmed). * February 8 – The British fleet enters Turkish waters, and anchors off Istanbul; Russia threatens to occupy Istanbul, but does not carry out the threat. * Feb ...
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1814 Births
Events January * January 1 – War of the Sixth Coalition – The Royal Prussian Army led by Gebhard Leberecht von Blücher crosses the Rhine. * January 3 ** War of the Sixth Coalition – Siege of Cattaro: French garrison surrenders to the British after ten days of bombardment. ** War of the Sixth Coalition – Siege of Metz: Allied armies lay siege to the French city and fortress of Metz. * January 5 – Mexican War of Independence – Battle of Puruarán: Spanish Royalists defeat Mexican Rebels. * January 11 – War of the Sixth Coalition – Battle of Hoogstraten: Prussian forces under Friedrich Wilhelm Freiherr von Bülow defeat the French. * January 14 ** Treaty of Kiel: Frederick VI of Denmark cedes the Kingdom of Norway into personal union with Sweden, in exchange for west Pomerania. This marks the end of the real union of Denmark-Norway. ** War of the Sixth Coalition – Siege of Antwerp: Allied forces besiege French Ant ...
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Jean Gaston Darboux
Jean-Gaston Darboux FAS MIF FRS FRSE (14 August 1842 – 23 February 1917) was a French mathematician. Life According this birth certificate he was born in Nîmes in France on 14 August 1842, at 1 am. However, probably due to the midnight birth, Darboux himself usually reported his own birthday as 13 August, ''e.g.'' ihis filled form for Légion d'Honneur His parents were François Darboux, businessman of mercery, and Alix Gourdoux. The father died when Gaston was 7. His mother undertook the mercery business with great courage, and insisted that her children receive good education. Gaston had a younger brother, Louis, who taught mathematics at the Lycée Nîmes for almost his entire life. He studied at the Nîmes Lycée and the Montpellier Lycée before being accepted as the top qualifier at the École normale supérieure in 1861, and received his PhD there in 1866. His thesis, written under the direction of Michel Chasles, was titled ''Sur les surfaces orthogonales''. ...
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August Ferdinand Möbius
August Ferdinand Möbius (, ; ; 17 November 1790 – 26 September 1868) was a German mathematician and theoretical astronomer. Early life and education Möbius was born in Schulpforta, Electorate of Saxony, and was descended on his mother's side from religious reformer Martin Luther. He was home-schooled until he was 13, when he attended the college in Schulpforta in 1803, and studied there, graduating in 1809. He then enrolled at the University of Leipzig, where he studied astronomy under the mathematician and astronomer Karl Mollweide.August Ferdinand Möbius, The MacTutor History of Mathematics archive
History.mcs.st-andrews.ac.uk. Retrieved on 2017-04-26.
In 1813, he began to study astronomy under mathematician

Lisbon Academy Of Sciences
The Lisbon Academy of Sciences ( pt, Academia das Ciências de Lisboa) is Portugal's national academy dedicated to the advancement of sciences and learning, with the goal of promoting academic progress and prosperity in Portugal. It is one of Portugal's most prestigious scientific authorities and the official regulator of the Portuguese language in Portugal, through its Class of Letters. History The academy was founded on 24 December 1779 in Lisbon, Portugal, by João Carlos de Bragança, Duke de Lafões, who served as the academy's first President, and José Correia da Serra, who served as its first secretary-general. Domenico Vandelli was among its mentors and early organizers. The academy received royal patronage under Queen Maria I of Portugal in 1783, bestowing the title of ''Royal Academy of Sciences'' (''Real Academia das Ciências'') unto the institution. The seat of the academy in Lisbon has been located in the Bairro Alto district of Lisbon since 1834. Organization ...
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Classical Mechanics
Classical mechanics is a physical theory describing the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars, and galaxies. For objects governed by classical mechanics, if the present state is known, it is possible to predict how it will move in the future (determinism), and how it has moved in the past (reversibility). The earliest development of classical mechanics is often referred to as Newtonian mechanics. It consists of the physical concepts based on foundational works of Sir Isaac Newton, and the mathematical methods invented by Gottfried Wilhelm Leibniz, Joseph-Louis Lagrange, Leonhard Euler, and other contemporaries, in the 17th century to describe the motion of bodies under the influence of a system of forces. Later, more abstract methods were developed, leading to the reformulations of classical mechanics known as Lagrangian mechanics and Hamiltonian mechanics. These advances, ma ...
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Euler's Totient Function
In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In other words, it is the number of integers in the range for which the greatest common divisor is equal to 1. The integers of this form are sometimes referred to as totatives of . For example, the totatives of are the six numbers 1, 2, 4, 5, 7 and 8. They are all relatively prime to 9, but the other three numbers in this range, 3, 6, and 9 are not, since and . Therefore, . As another example, since for the only integer in the range from 1 to is 1 itself, and . Euler's totient function is a multiplicative function, meaning that if two numbers and are relatively prime, then . This function gives the order of the multiplicative group of integers modulo (the group of units of the ring \Z/n\Z). It is also used for defining the RSA e ...
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Coprime Integers
In mathematics, two integers and are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides does not divide , and vice versa. This is equivalent to their greatest common divisor (GCD) being 1. One says also '' is prime to '' or '' is coprime with ''. The numbers 8 and 9 are coprime, despite the fact that neither considered individually is a prime number, since 1 is their only common divisor. On the other hand, 6 and 9 are not coprime, because they are both divisible by 3. The numerator and denominator of a reduced fraction are coprime, by definition. Notation and testing Standard notations for relatively prime integers and are: and . In their 1989 textbook ''Concrete Mathematics'', Ronald Graham, Donald Knuth, and Oren Patashnik proposed that the notation a\perp b be used to indicate that and are relatively prime and that the term "prime" be used instead of coprime (as ...
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Euler's Theorem
In number theory, Euler's theorem (also known as the Fermat–Euler theorem or Euler's totient theorem) states that, if and are coprime positive integers, and \varphi(n) is Euler's totient function, then raised to the power \varphi(n) is congruent to modulo ; that is :a^ \equiv 1 \pmod. In 1736, Leonhard Euler published a proof of Fermat's little theorem (stated by Fermat without proof), which is the restriction of Euler's theorem to the case where is a prime number. Subsequently, Euler presented other proofs of the theorem, culminating with his paper of 1763, in which he proved a generalization to the case where is not prime. The converse of Euler's theorem is also true: if the above congruence is true, then a and n must be coprime. The theorem is further generalized by Carmichael's theorem. The theorem may be used to easily reduce large powers modulo n. For example, consider finding the ones place decimal digit of 7^, i.e. 7^ \pmod. The integers 7 and 10 are coprime, ...
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