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French painter
André Marie Paul Borel (12 February 1828, Lyon - 26 January 1913, Lyon) was a French painter and engraver; specializing in historical and religious scenes
Paul_Borel
Class of mathematical sets
measurable, every Borel set of reals is universally measurable. Which sets are Borel can be specified in a number of equivalent ways. Borel sets are named
Borel_set
French mathematician (1871–1956)
Félix Édouard Justin Émile Borel (French: [bɔʁɛl]; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he
Émile_Borel
(October 9, 1821 – July 20, 1892) was an engineer and French politician. Paul Borel and Lavalley were contractors of the Suez Canal Company who designed,
Alexandre_Lavalley
Theorem in probability theory
The Borel–Cantelli lemma is a result in measure theory. It is often stated in the context of probability theory, where it is used to study whether, in
Borel–Cantelli_lemma
French photographer (1842–1914)
work of Camille Corot, and he befriended François-Auguste Ravier, Paul Borel, Jean-Paul Laurens, and François Guiguet.[citation needed] In 1870, he married
Félix_Thiollier
Transport company
excavate the main canal. In December 1863, Voisin hired Paul Borel and Alexandre Lavalley's company, Borel, Lavalley, and Company, to design, build, and operate
Suez_Company_(1858–1997)
French restaurateur
Jacques Borel (born 9 April 1927) is a French businessman. In 1961, he brought fast food to France with a franchise of Wimpy, and opened restaurants in
Jacques_Borel_(businessman)
Measure defined on all open sets of a topological space
in measure theory, a Borel measure on a topological space is a measure that is defined on all open sets (and thus on all Borel sets). Some authors require
Borel_measure
American oilman (1913–2009)
Collection at the Kenneth Spencer Research Library at the University of Kansas Paul Borel Collection at the Kenneth Spencer Research Library at the University of
Charles_E._Spahr
French mathematician
holomorphic functions in complex analysis. Montel was a student of Émile Borel at the Sorbonne. Henri Cartan, Jean Dieudonné and Miron Nicolescu were among
Paul_Montel
2017 French film
woodcraft. Borel is obsessed with catching Totoche, and Paul becomes mingled in the complicated relationship between Totoche, Borel and Célestine. Paul begins
L'école_buissonnière
Church building in Lyon, France
the octagonal tower in 1835, the Gothic portal in 1877, paintings by Paul Borel added to the choir in 1899, the eleven bells of the bell tower, and so
Église_Saint-Paul_de_Lyon
Swiss-born American banker
Antoine Borel (December 29, 1840 – March 26, 1915) was a Swiss-American banker who ran the eponymous Borel & Co., headquartered in San Francisco, California
Antoine_Borel
Musical artist
Jean-Claude Borelly is a French trumpeter and composer. At the age of seven he developed a passion for the trumpet after discovering Louis Armstrong on
Jean-Claude_Borelly
Swiss politician and philanthropist
attorney. 1907 he founded together with Eugène Borel (1862 -1955), the law firm Borel & Barbey. Paul Lachenal, who was married to Elisabeth Alice Lachenal
Paul_Lachenal
Swiss mathematician (1923–2003)
452) Borel–Weil–Bott theorem Borel cohomology Borel conjecture Borel construction Borel subgroup Borel subalgebra Borel fixed-point theorem Borel's theorem
Armand_Borel
French composer and music producer (1933–2023)
of "Dolannes Mélodie" launched the career of trumpet player Jean-Claude Borelly. The song reached #1 on the charts of France, Switzerland, Belgium and
Paul_de_Senneville
French painter (1884–1949)
returned to Lyon in 1910, where he took over a studio that once belonged to Paul Borel. In 1914, he married Rose Desrats. They had two children. He briefly took
Étienne_Morillon_(painter)
Belgian pharmacologist (1933–2025)
Jean-François Borel (4 July 1933 – 2 July 2025) was a Belgian microbiologist and immunologist who is considered one of the discoverers of cyclosporin. Borel was
Jean-François_Borel
French-British photographer
with Paul Gorman,[citation needed] Neal Fox of Le Gun, and the first series of John Claridge's Soho Faces, the photography sessions for which Borel organised
Carla_Borel
American mathematician (1930–2013)
automorphic forms. One of his significant works was with Armand Borel, now known as the Baily–Borel compactification, which is a compactification of a quotient
Walter_Lewis_Baily_Jr.
Medicine award
New York University 1986 Abner L. Notkins, Bethesda 1987 Jean-François Borel, Basel Hugh O'Neill McDevitt, Stanford Felix Milgrom, Buffalo 1988 Peter
Paul Ehrlich and Ludwig Darmstaedter Prize
Paul_Ehrlich_and_Ludwig_Darmstaedter_Prize
(Etablissements Borel / Gabriel borel) Borel 1910 monoplane Borel 1911 1-seat monoplane Borel 1911 2-seat monoplane Borel 1911 2-seat metal monoplane Borel 1911
List_of_aircraft_(Bf–Bo)
Eymann (SP/PS) 1922 Arnold Bolle (PPN) 1923 Henri Berthoud (FDP/PRD) 1924 Paul Borel (LPS/PLS) 1925 1927 Pierre-Frédéric Favarger (LPS/PLS) Philippe-Henri
List of members of the Federal Assembly from the Canton of Neuchâtel
List_of_members_of_the_Federal_Assembly_from_the_Canton_of_Neuchâtel
Mathematics research institute in France
Joseph Caron of the École Normale Supérieure. 1928–1948: Émile Borel 1949–1975: Paul Montel 1975–1984: Charles Pisot 1984–1985: Pierre Lelong 1986–1987:
Institut_Henri_Poincaré
French engineer (1821–1918)
construction of the canal after Ferdinand de Lesseps. Voisin hired contractors Paul Borel and Alexandre Lavalley in December 1863 to engineer the dredging machines
François_Philippe_Voisin
French mathematician and statesman (1863–1933)
and Social Security Provisions Théodore Steeg – Minister of Justice Émile Borel – Minister of Marine Anatole de Monzie – Minister of Public Instruction
Paul_Painlevé
Left-invariant (or right-invariant) measure on locally compact topological group
subsets of G {\displaystyle G} is called the Borel algebra. An element of the Borel algebra is called a Borel set. If g {\displaystyle g} is an element of
Haar_measure
Portuguese footballer (born 1985)
season with 37 goals in all competitions; the tally allowed him to break Borel's club record of 36 goals in a single season. Ronaldo played his 100th match
Cristiano_Ronaldo
Italian-American computer scientist (1926–2017)
Paul G. Comba (1926 – April 5, 2017) was an Italian-American computer scientist, an amateur astronomer and a prolific discoverer of minor planets. He was
Paul_G._Comba
Square in Lyon, France
Frédéric Ginioz. The No. 4 of the Place des Jacobins is the painter Paul Borel's house, conducted by architect Pierre Bossan in 1863. To the east, there
Place_des_Jacobins
French mathematician (1855–1930)
daughter Marguerite Appell (1883–1969), who married the mathematician Émile Borel, is known as a novelist under her pen-name Camille Marbo. Appell was an
Paul_Émile_Appell
French mathematician (1875–1941)
Sorbonne with the seminal thesis on "Integral, Length, Area", submitted with Borel, four years older, as advisor. Lebesgue married the sister of one of his
Henri_Lebesgue
French mathematician (1884–1955)
méromorphes et de leurs dérivées, 1937 with Paul Appell: Analyse mathématique, 2 vols. 1938. Direction de Borel des fonctions méromorphes, Mémorial des sciences
Georges_Valiron
French writer (1883–1969)
mathematician, Paul Appell (1855–1930), Camille Marbo was given the name Marguerite Appell. In 1901, she married the mathematician and politician Émile Borel (1871–1956)
Camille_Marbo
Measure space in mathematics
= μ ( A ) . {\displaystyle \mu _{0}(A\cup B)=\mu (A).} Borel measure as defined on the Borel σ-algebra generated by the open intervals of the real line
Complete_measure
Set theory axiom extension
choice for real numbers), states two things: Every set of real numbers is ∞-Borel. For any ordinal λ < Θ, any A ⊆ ωω, and any continuous function π: λω → ωω
AD+
in 1922 (by the mathematician Émile Borel) 20 years before the ENSAE Paris. At the end of the Great War, Émile Borel, one of the greatest mathematicians
Paris_Institute_of_Statistics
American mathematician
Moore (May 27, 1923 – January 1, 2016) was an American mathematician. The Borel−Moore homology and Eilenberg–Moore spectral sequence are named after him
John_Coleman_Moore
French philosopher, social theorist and activist (1908–1986)
was while studying for it that she met École Normale students Jean-Paul Sartre, Paul Nizan, and René Maheu (who gave her the lasting nickname "Castor"
Simone_de_Beauvoir
1977 instrumental single by Richard Clayderman, composed by Paul de Senneville
It remains Clayderman's signature hit. The French trumpeter Jean-Claude Borelly recorded his version in the early 1980s, which used the same instrumental
Ballade_pour_Adeline
French author
Jacques Borel (17 December 1925 in Paris – 25 September 2002) was a French author best known for his 1965 novel L'Adoration (translated into English as
Jacques_Borel
City in Kamchatka Krai, Russia
(since 1990) Artem Ansheles (born 1994), Russian-Hong Kong actor Viktor Borel (born 1974), Belarusian footballer and coach Lusya Chebotina (born 1997)
Petropavlovsk-Kamchatsky
Result in measure theory
sufficient condition for a finite Borel measure to be absolutely continuous with respect to Lebesgue measure. Let μ be a finite Borel measure on n-dimensional
Malliavin's absolute continuity lemma
Malliavin's_absolute_continuity_lemma
Benetton Group Benrus Bianchet Binda Group BKL UF Blancpain Blumarine Ernest Borel Bovet Fleurier Édouard Bovet Bozeman Watch Company Abraham-Louis Breguet
List_of_watch_manufacturers
French writer and poet
Doctor Weil, father of Simone Weil, and then followed by Doctor Adrien Borel, psychiatrist and friend of Bataille. During the summer of 1935, she moved
Colette_Peignot
Technique invented by Paul Cohen for proving consistency and independence results
a construction is called a Borel code. Given a Borel set B {\displaystyle B} in V {\displaystyle V} , one recovers a Borel code, and then applies the
Forcing_(mathematics)
American actor (born 1975)
Hancock Jeremy 2009 Table for Three Ted 2011 In Time Borel 2013 CBGB Terry Ork 2016 The Cleanse Paul Also producer 2017 Rings Gabriel Brown 2019 A Dog's
Johnny_Galecki
Type of large transfinite number
cardinals is a necessary assumption in a sense to prove certain theorems about Borel functions on products of the closed unit interval. Let Q {\displaystyle
Mahlo_cardinal
2025 studio album by Jonas Brothers
Julian Bunetta, Gabe Simon, Mark Schick, Nolan Sipe, Colin Foote, Alex Borel, Alexander 23, Hazey Eyes, Tommy English, Jeremy Hatcher, Josette Maskin
Greetings_from_Your_Hometown
French mathematician (1871–1949)
friend Émile Borel published, in 1892, their notes on lectures given by Henri Poincaré and, in 1895, their notes on lectures given by Paul Tannery. Drach
Jules_Drach
Association football club in Turin, Italy
comes in second in all competitions with 182. In the 1933–34 season, Felice Borel scored 31 goals in 34 appearances, setting the club record for Serie A goals
Juventus_FC
On distance sets of high-dimensional sets
other unsolved conjectures. These include a conjecture of Paul Erdős on the existence of Borel subrings of the real numbers with fractional Hausdorff dimension
Falconer's_conjecture
Jr. Marcel Berger R. H. Bing Armand Borel Lennart Carleson J. W. S. Cassels Gustave Choquet Alonzo Church Paul Joseph Cohen Albrecht Dold Bernard Dwork
List of International Congresses of Mathematicians Plenary and Invited Speakers
List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers
French multinational hospitality company
Singapore. In 1983, Novotel-SIEH acquired and merged with the group Jacques Borel International to create the Accor group, which was introduced to the Paris
Accor
Integral transform useful in probability theory, physics, and engineering
this is dealt with below. One can define the Laplace transform of a finite Borel measure μ by the Lebesgue integral L { μ } ( s ) = ∫ [ 0 , ∞ ) e − s t d
Laplace_transform
Statistical parameter
{\displaystyle \mu } on the Borel sets with μ ( X ) = 1 {\displaystyle \mu (X)=1} . Let α ( ε ) = sup { μ ( X ∖ A ε ) ∣ A is a Borel set and μ ( A ) ≥ 1 /
Concentration_of_measure
French football player and manager (born 1972)
Dortmund when he was unable to make an impression against the close marking of Paul Lambert. The following season, Zidane scored seven goals in 32 matches in
Zinedine_Zidane
French family with some prominent scientists
Paul Langevin, Albert Einstein, Anna de Noailles, Paul Painlevé, Paul Appell, Émile Borel. Paul Langevin and Albert Einstein in Berlin in 1923. Paul Langevin
Langevin_family
French journalist and author (born 1950)
Jean-Paul Dubois (French pronunciation: [ʒɑ̃ pɔl dybwa]; born 1950 in Toulouse, Haute-Garonne) is a French journalist and author. He won the Prix Goncourt
Jean-Paul_Dubois
Construction in measure theory
\mu _{2})} are σ-finite. The Borel measures on the Euclidean space Rn can be obtained as the product of n copies of Borel measures on the real line R.
Product_measure
Pseudonym of a group of mathematicians
inclusion of illustration in this part of the work was due to Armand Borel. Borel was minority-Swiss in a majority-French collective, and self-deprecated
Nicolas_Bourbaki
Belgian fencer
Paul Eugène Albert Anspach (1 April 1882 – 28 August 1981) was a Belgian épée and foil fencer who competed in four consecutive Olympics (1908, 1912, 1920
Paul_Anspach
Belgian industrialist
from the original on 18 April 2020. Retrieved 12 April 2020. d'Hauterive, Borel (1882). Annuaire de la noblesse de France et des maisons souveraines de
Gaston_Saint-Paul_de_Sinçay
Probability metric in mathematics
metric. Let ( M , d ) {\displaystyle (M,d)} be a metric space with its Borel sigma algebra B ( M ) {\displaystyle {\mathcal {B}}(M)} . Let P ( M ) {\displaystyle
Lévy–Prokhorov_metric
Resource distribution game
number of battlefields won. The game was first proposed by Émile Borel in 1921. In 1938 Borel and Ville published a particular optimal strategy (the "disk"
Blotto_game
every definable subset of the structure is finite or co-finite.) Is the Borel monadic theory of the real order (BMTO) decidable? Is the monadic theory
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
French writer, librarian and theorist (1897–1962)
Psychology, whose members included the physicians René Allendy, Adrien Borel, Paul Schiff and Pierre Janet, as well as Leiris. The society attempted to
Georges_Bataille
public domain include Salvador Dalí's painting The Persistence of Memory, Paul Landowski's sculpture Christ the Redeemer, Pablo Picasso's sculpture Bust
2027_in_public_domain
Canadian broadcaster, writer, musician, and producer (born 1967)
against Kathryn Borel, a producer of Q, after Ghomeshi signed a peace bond. The publication ban as to the name of the victim, Borel, was lifted that
Jian_Ghomeshi
Descriptive set theory Analytic set Analytical hierarchy Borel equivalence relation Infinity-Borel set Lightface analytic game Perfect set property Polish
List_of_set_theory_topics
Swiss artist (1753–1834)
reproductions en couleur des œuvres du Musée historique de Vevey]. Françoise Bonnet Borel, «Dumoulin, peintre veveysan», dans Vibiscum, 2, 1991, p. 59-97. Annie Renonciat
François_Aimé_Louis_Dumoulin
1963 French film
André Hunebelle Screenplay by Raymond Borel Pierre Foucaud André Hunebelle Based on novel by Jean Bruce Produced by Paul Cadéac Cyril Grize Starring Kerwin
OSS_117_Is_Unleashed
Duke of Burgundy
Odo I (d. 1101/2 Tarsus), also known as Eudes, surnamed Borel and called the Red, was duke of Burgundy between 1079 and 1102. Odo was the second son of
Odo_I_of_Burgundy
Lebesgue-Stieltjes integration
line. The Lebesgue–Stieltjes measure is a regular Borel measure, and conversely every regular Borel measure on the real line is of this kind. Lebesgue–Stieltjes
Lebesgue–Stieltjes integration
Lebesgue–Stieltjes_integration
Country in Southeast Asia
from the original on 24 April 2021. Retrieved 24 April 2021. DigInfo 2007. Borel 2010. Viet Nam News 2010. Koblitz 2009, p. 198. CNRS 2010. Koppes 2010.
Vietnam
French mathematician (1906-1998)
History". search.amphilsoc.org. Retrieved 20 December 2021. Borel, Armand. [1] (see also)[2] Paul Betz; Mark Christopher Carnes, American Council of Learned
André_Weil
French mathematician
Ritt, "Julia's monograph is probably one of the finest in the Borel collection." Paul Flamant matriculated in 1913 at the École Normale Supérieure (ENS)
Paul_Flamant
Mathematical transform that expresses a function of time as a function of frequency
remains true for tempered distributions. The Fourier transform of a finite Borel measure μ on Rn, given by the bounded, uniformly continuous function: μ
Fourier_transform
French novelist, literary critic, and essayist (1871–1922)
police in a raid on a male brothel run by Albert Le Cuziat. Proust's friend Paul Morand openly teased Proust about his visits to male prostitutes. In his
Marcel_Proust
Mathematical models of strategic interactions
his 1938 book Applications aux Jeux de Hasard and earlier notes, Émile Borel proved a minimax theorem for two-person zero-sum matrix games only when
Game_theory
French screenwriter and writer (1945–2026)
1962 Anna Langfus 1963 Armand Lanoux 1964 Georges Conchon 1965 Jacques Borel 1966 Edmonde Charles-Roux 1967 André Pieyre de Mandiargues 1968 Bernard
Didier_Decoin
American mathematician
representations are of type I) if and only if the Borel structure of its dual is a standard Borel space. He has written numerous survey articles connecting
George_Mackey
Horse race
Presented by Yum! Brands. Super Saver won the race with Calvin Borel as jockey. Borel became the first jockey to win three Kentucky Derby titles in a
2010_Kentucky_Derby
Event Gold Silver Bronze Individual épée details Koki Kano Japan Yannick Borel France Mohamed El-Sayed Egypt Team épée details Hungary Máté Tamás Koch
List of 2024 Summer Olympics medal winners
List_of_2024_Summer_Olympics_medal_winners
American mathematician
geometry, and dynamics to questions such as the Borel conjecture. The Farrell-Jones conjecture implies the Borel Conjecture for manifolds of dimension greater
Lowell_E._Jones
Field of knowledge
they think of and talk of their objects of study as real objects. Armand Borel summarized this view of mathematics reality as follows, and provided quotations
Mathematics
Portuguese footballing career
finished the season with 37 goals in all competitions, surpassing Felice Borel's record of 36 goals in a single Juventus season. On 1 November 2020, Ronaldo
Career_of_Cristiano_Ronaldo
French mathematician (1904–2008)
own seminar in Paris, which deeply influenced Jean-Pierre Serre, Armand Borel, Alexander Grothendieck and Frank Adams, amongst others of the leading lights
Henri_Cartan
Theorem in set-theoretic geometry
constructed a paradoxical decomposition of the hyperbolic plane H2 that uses Borel sets. The paradox depends on the existence of a properly discontinuous subgroup
Banach–Tarski_paradox
Kenny Bartram, Hunter Baxley, Percey Bell, Tim Bell, Tobiah Ben, Silas Borelly, Sean Braud, Jeff Brockton, Scheryl Brown, Chris Bryant, Kevin Cheatham
List of accolades received by Sinners (2025 film)
List_of_accolades_received_by_Sinners_(2025_film)
Boorda (1996), US Chief of Naval Operations, gunshot to the chest Éric Borel (1995), French high school student and spree killer, gunshot Adrian Borland
List_of_suicides_(1900–1999)
Historic place in Bellville, Austin County, Texas
died in 1880 and is also buried at the Machemehl Cemetery. Johann's son Paul Machemehl (1845–1932) is known for his participation in the passage to Mexico
L. A. and Adelheid Machemehl House
L._A._and_Adelheid_Machemehl_House
German mathematician (1868–1942)
Alexandroff and Hausdorff independently solved the continuum problem for Borel sets: Every Borel set in a complete separable metric space is either countable or
Felix_Hausdorff
Canadian drama television series
Josie's reputation. 24 7 "A Strong Effort of the Spirit of Good" Paul Fox Kathryn Borel, Jr November 3, 2019 (2019-11-03) Anne's opinion article isn't received
Anne_with_an_E
Islands). Juan Álvarez, 77, Mexican Olympic footballer (1972). Jean-François Borel, 91, Belgian microbiologist and immunologist. Walter Bradley, 81, American
Deaths_in_July_2025
Hungarian and American mathematician and physicist (1903–1957)
familiar with differential and integral calculus, and by twelve he had read Borel's La Théorie des Fonctions. He was also interested in history, reading Wilhelm
John_von_Neumann
Special function occurring in problems possessing elliptic symmetry
Equation and Path Integral, 2nd ed., World Scientific (2012), where also Borel summation and other related topics are treated. Bibby and Peterson (2013);
Mathieu_function
Italian footballer (born 1978)
Archived from the original on 20 November 2015. Retrieved 26 November 2015. Paul Sumeet (24 November 2015). "Six Juventus stars nominated for UEFA Team of
Gianluigi_Buffon
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