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Évariste Galois

Index Évariste Galois

Évariste Galois (25 October 1811 – 31 May 1832) was a French mathematician. [1]

90 relations: Abdomen, Abel–Ruffini theorem, Abelian group, Abelian integral, Abstract algebra, Adrien-Marie Legendre, Alexandre Dumas, Algebraic equation, Alternating group, Augustin-Louis Cauchy, École normale supérieure (Paris), École Polytechnique, Bastille Day, Bourg-la-Reine, Carl Friedrich Gauss, Carl Gustav Jacob Jacobi, Cenotaph, Chapman & Hall, Charles X of France, Classics, Conjugate element (field theory), Continued fraction, Coset, Dagger, DjVu, Doctrinaires, Duel, Eric Temple Bell, Exceptional object, Finite field, First French Empire, French Academy of Sciences, French First Republic, French legislative election, 1827, French legislative election, 1830, Galois connection, Galois group, Galois theory, Graduate Texts in Mathematics, Group (mathematics), Group theory, Hôpital Cochin, Hermann Weyl, Jean Maximilien Lamarque, Joseph Fourier, Joseph Liouville, Joseph-Louis Lagrange, Journal de Mathématiques Pures et Appliquées, July Monarchy, July Ordinances, ..., July Revolution, June Rebellion, Jurist, Last words, Latin, Liberal Party, List of important publications in mathematics, List of things named after Évariste Galois, Louis Philippe I, Louis XVIII of France, Lycée Louis-le-Grand, Mathematician, Mathematics, Men of Mathematics, Montparnasse Cemetery, National Council of Teachers of Mathematics, National Guard (France), Necessity and sufficiency, Niels Henrik Abel, Normal subgroup, Nth root, Number theory, Palindrome, Paolo Ruffini, Peritonitis, Permutation, Polynomial, Projective linear group, Quintic function, Random House Webster's Unabridged Dictionary, Reston, Virginia, Root-finding algorithm, Siméon Denis Poisson, Simple group, Solvable group, Springer Science+Business Media, Theory of equations, Toast (honor), Tony Rothman, Ultra-royalist. Expand index (40 more) »

Abdomen

The abdomen (less formally called the belly, stomach, tummy or midriff) constitutes the part of the body between the thorax (chest) and pelvis, in humans and in other vertebrates.

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Abel–Ruffini theorem

In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.

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Abelian group

In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.

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Abelian integral

In mathematics, an abelian integral, named after the Norwegian mathematician Niels Henrik Abel, is an integral in the complex plane of the form where R(x,w) is an arbitrary rational function of the two variables x and w, which are related by the equation where F(x,w) is an irreducible polynomial in w, whose coefficients \varphi_j(x), j.

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Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

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Adrien-Marie Legendre

Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.

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Alexandre Dumas

Alexandre Dumas (born Dumas Davy de la Pailleterie; 24 July 1802 – 5 December 1870), also known as Alexandre Dumas, père ("father"), was a French writer.

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Algebraic equation

In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.

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Alternating group

In mathematics, an alternating group is the group of even permutations of a finite set.

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Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.

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École normale supérieure (Paris)

The École normale supérieure (also known as Normale sup', Ulm, ENS Paris, l'École and most often just as ENS) is one of the most selective and prestigious French grandes écoles (higher education establishment outside the framework of the public university system) and a constituent college of Université PSL.

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École Polytechnique

École Polytechnique (also known as EP or X) is a French public institution of higher education and research in Palaiseau, a suburb southwest of Paris.

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Bastille Day

Bastille Day is the common name given in English-speaking countries/lands to the French National Day, which is celebrated on the 14th of July each year.

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Bourg-la-Reine

Bourg-la-Reine is a commune in the southern suburbs of Paris, France.

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Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.

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Carl Gustav Jacob Jacobi

Carl Gustav Jacob Jacobi (10 December 1804 – 18 February 1851) was a German mathematician, who made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory.

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Cenotaph

A cenotaph is an empty tomb or a monument erected in honour of a person or group of people whose remains are elsewhere.

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Chapman & Hall

Chapman & Hall was a British publishing house in London, founded in the first half of the 19th century by Edward Chapman and William Hall.

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Charles X of France

Charles X (Charles Philippe; 9 October 1757 – 6 November 1836) was King of France from 16 September 1824 until 2 August 1830.

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Classics

Classics or classical studies is the study of classical antiquity.

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Conjugate element (field theory)

In mathematics, in particular field theory, the conjugate elements of an algebraic element α, over a field extension L/K, are the roots of the minimal polynomial pK,α(x) of α over K. Conjugate elements are also called Galois conjugates or simply conjugates.

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Continued fraction

In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

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Coset

In mathematics, if G is a group, and H is a subgroup of G, and g is an element of G, then Only when H is normal will the set of right cosets and the set of left cosets of H coincide, which is one definition of normality of a subgroup.

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Dagger

A dagger is a knife with a very sharp point and one or two sharp edges, typically designed or capable of being used as a thrusting or stabbing weapon.

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DjVu

DjVu (like English "déjà vu") is a computer file format designed primarily to store scanned documents, especially those containing a combination of text, line drawings, indexed color images, and photographs.

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Doctrinaires

The Doctrinals (Doctrinaires) was the name given during the Bourbon Restoration (1814–1830) and the July Monarchy (1830-1848) to the group of French Royalists who hoped to reconcile the Monarchy with the Revolution, and power with liberty.

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Duel

A duel is an arranged engagement in combat between two people, with matched weapons, in accordance with agreed-upon rules.

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Eric Temple Bell

Eric Temple Bell (February 7, 1883 – December 21, 1960) was a Scottish-born mathematician and science fiction writer who lived in the United States for most of his life.

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Exceptional object

Many branches of mathematics study objects of a given type and prove a classification theorem.

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Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

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First French Empire

The First French Empire (Empire Français) was the empire of Napoleon Bonaparte of France and the dominant power in much of continental Europe at the beginning of the 19th century.

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French Academy of Sciences

The French Academy of Sciences (French: Académie des sciences) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research.

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French First Republic

In the history of France, the First Republic (French: Première République), officially the French Republic (République française), was founded on 22 September 1792 during the French Revolution.

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French legislative election, 1827

The 1827 general election organized the third legislature of the Second Restoration.

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French legislative election, 1830

The 1830 general election organized the first legislature of the July Monarchy but was meant to organize the sixth legislature of the Bourbon Restoration.

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Galois connection

In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets).

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Galois group

In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.

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Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

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Graduate Texts in Mathematics

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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Hôpital Cochin

The Hôpital Cochin is a famous hospital of public assistance in the rue du Faubourg-Saint-Jacques Paris 14e.

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Hermann Weyl

Hermann Klaus Hugo Weyl, (9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher.

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Jean Maximilien Lamarque

Jean Maximilien Lamarque (1770–1832) was a French commander during the Napoleonic Wars who later became a member of French Parliament.

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Joseph Fourier

Jean-Baptiste Joseph Fourier (21 March 1768 – 16 May 1830) was a French mathematician and physicist born in Auxerre and best known for initiating the investigation of Fourier series and their applications to problems of heat transfer and vibrations.

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Joseph Liouville

Joseph Liouville FRS FRSE FAS (24 March 1809 – 8 September 1882) was a French mathematician.

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Joseph-Louis Lagrange

Joseph-Louis Lagrange (or;; born Giuseppe Lodovico Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier, Turin, 25 January 1736 – Paris, 10 April 1813; also reported as Giuseppe Luigi Lagrange or Lagrangia) was an Italian Enlightenment Era mathematician and astronomer.

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Journal de Mathématiques Pures et Appliquées

The Journal de Mathématiques Pures et Appliquées is a French monthly scientific journal of mathematics, founded in 1836 by Joseph Liouville (editor: 1836–1874).

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July Monarchy

The July Monarchy (Monarchie de Juillet) was a liberal constitutional monarchy in France under Louis Philippe I, starting with the July Revolution of 1830 and ending with the Revolution of 1848.

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July Ordinances

July Ordinances, also known as the Four Ordinances of Saint-Cloud, were a series of decrees set forth by Charles X and Jules Armand de Polignac, the chief minister, in July 1830.

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July Revolution

The French Revolution of 1830, also known as the July Revolution (révolution de Juillet), Third French Revolution or Trois Glorieuses in French ("Three Glorious "), led to the overthrow of King Charles X, the French Bourbon monarch, and the ascent of his cousin Louis Philippe, Duke of Orléans, who himself, after 18 precarious years on the throne, would be overthrown in 1848.

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June Rebellion

The June Rebellion or the Paris Uprising of 1832 (French: Insurrection républicaine à Paris en juin 1832), was an anti-monarchist insurrection of Parisian republicans on 5 and 6 June 1832.

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Jurist

A jurist (from medieval Latin) is someone who researches and studies jurisprudence (theory of law).

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Last words

Last words or final words are a person's final articulated words, stated prior to death or as death approaches.

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Latin

Latin (Latin: lingua latīna) is a classical language belonging to the Italic branch of the Indo-European languages.

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Liberal Party

Liberal Party is a name for political parties around the world whose members are liberalists.

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List of important publications in mathematics

This is a list of important publications in mathematics, organized by field.

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List of things named after Évariste Galois

These are things named after Évariste Galois (1811–1832), a French mathematician.

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Louis Philippe I

Louis Philippe I (6 October 1773 – 26 August 1850) was King of the French from 1830 to 1848 as the leader of the Orléanist party.

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Louis XVIII of France

Louis XVIII (Louis Stanislas Xavier; 17 November 1755 – 16 September 1824), known as "the Desired" (le Désiré), was a monarch of the House of Bourbon who ruled as King of France from 1814 to 1824, except for a period in 1815 known as the Hundred Days.

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Lycée Louis-le-Grand

The Lycée Louis-le-Grand is a prestigious secondary school located in Paris.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Men of Mathematics

Men of Mathematics: The Lives and Achievements of the Great Mathematicians from Zeno to Poincaré is a book on the history of mathematics published in 1937 by Scottish-born American mathematician and science fiction writer E. T. Bell (1883–1960).

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Montparnasse Cemetery

Montparnasse Cemetery (Cimetière du Montparnasse) is a cemetery in the Montparnasse quarter of Paris, part of the city's 14th arrondissement.

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National Council of Teachers of Mathematics

The National Council of Teachers of Mathematics (NCTM) was founded in 1920.

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National Guard (France)

The National Guard (la Garde nationale) is a French gendarmerie that existed from 1789 to 1872, including a period of official dissolution from 1827 to 1830, re-founded in 2016.

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Necessity and sufficiency

In logic, necessity and sufficiency are terms used to describe an implicational relationship between statements.

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Niels Henrik Abel

Niels Henrik Abel (5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields.

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Normal subgroup

In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part.

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Nth root

In mathematics, an nth root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x: where n is the degree of the root.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Palindrome

A palindrome is a word, number, or other sequence of characters which reads the same backward as forward, such as madam or racecar.

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Paolo Ruffini

Paolo Ruffini (September 22, 1765 – May 10, 1822) was an Italian mathematician and philosopher.

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Peritonitis

Peritonitis is inflammation of the peritoneum, the lining of the inner wall of the abdomen and cover of the abdominal organs.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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Projective linear group

In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action of the general linear group of a vector space V on the associated projective space P(V).

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Quintic function

In algebra, a quintic function is a function of the form where,,,, and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero.

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Random House Webster's Unabridged Dictionary

Random House Webster's Unabridged Dictionary is a large American dictionary, first published in 1966 as The Random House Dictionary of the English Language: The Unabridged Edition.

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Reston, Virginia

Reston is one of the leading "New Town" planned communities in the United States.

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Root-finding algorithm

In mathematics and computing, a root-finding algorithm is an algorithm for finding roots of continuous functions.

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Siméon Denis Poisson

Baron Siméon Denis Poisson FRS FRSE (21 June 1781 – 25 April 1840) was a French mathematician, engineer, and physicist, who made several scientific advances.

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Simple group

In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself.

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Solvable group

In mathematics, more specifically in the field of group theory, a solvable group or soluble group is a group that can be constructed from abelian groups using extensions.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Theory of equations

In algebra, the theory of equations is the study of algebraic equations (also called “polynomial equations”), which are equations defined by a polynomial.

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Toast (honor)

A toast is a ritual in which a drink is taken as an expression of honor or goodwill.

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Tony Rothman

Tony Rothman (born 1953) is an American theoretical physicist, academic and writer.

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Ultra-royalist

An Ultra-royalist (Ultraroyaliste, collectively Ultras) was a French political label used from 1815 to 1830 under the Bourbon Restoration.

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References

[1] https://en.wikipedia.org/wiki/Évariste_Galois

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