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68 relations: Acta Scientiarum Mathematicarum, Almost everywhere, Arnoldo Mondadori Editore, Bibliothèque nationale de France, Bulletin of the American Mathematical Society, Cambridge, Cambridge University Press, Carlo Severini, Catania, Complement (set theory), Continuous function, Countable set, Dimension, Dmitri Egorov, Domain of a function, Geometric series, Index set, Indexed family, Indicator function, Inequality (mathematics), Integral, Intersection (set theory), Italian language, Italy, Lebesgue measure, Leonida Tonelli, Limit of a sequence, List of geometers, Lusin's theorem, Lviv, Marcel Dekker, Matematicheskii Sbornik, Mathematical induction, Mathematician, Mathematics, Measurable function, Measurable space, Measure (mathematics), Measure space, Metric space, Monatshefte für Mathematik, National Research Council (Italy), Natural number, Neighbourhood (mathematics), Nikolai Luzin, Obituary, Orthogonal functions, Pavel Korovkin, Physicist, Pointwise convergence, ..., Proceedings of the USSR Academy of Sciences, Real line, Rome, Russia, Separable space, Sequence, Series (mathematics), Set (mathematics), Sigma additivity, Stefan Banach, Subset, Support (mathematics), Szeged, Turin, Uniform convergence, Union (set theory), Vector space, Warsaw. Expand index (18 more) »
Acta Scientiarum Mathematicarum
Acta Scientiarum Mathematicarum is a Hungarian mathematical journal published by the János Bolyai Mathematical Institute (University of Szeged).
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Almost everywhere
In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities.
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Arnoldo Mondadori Editore
Arnoldo Mondadori Editore is the biggest publishing company in Italy.
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Bibliothèque nationale de France
The (BnF, English: National Library of France) is the national library of France, located in Paris.
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Bulletin of the American Mathematical Society
The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.
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Cambridge
Cambridge is a university city and the county town of Cambridgeshire, England, on the River Cam approximately north of London.
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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Carlo Severini
Carlo Severini (10 March 1872 – 11 May 1951) was an Italian mathematician: he was born in Arcevia (Province of Ancona) and died in Pesaro.
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Catania
Catania is the second largest city of Sicily after Palermo located on the east coast facing the Ionian Sea.
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Complement (set theory)
In set theory, the complement of a set refers to elements not in.
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Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
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Countable set
In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.
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Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
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Dmitri Egorov
Dmitri Fyodorovich Egorov (Дми́трий Фёдорович Его́ров; December 22, 1869 – September 10, 1931) was a Russian and Soviet mathematician known for significant contributions to the areas of differential geometry and mathematical analysis.
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Domain of a function
In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.
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Geometric series
In mathematics, a geometric series is a series with a constant ratio between successive terms.
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Index set
In mathematics, an index set is a set whose members label (or index) members of another set.
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Indexed family
In mathematics, an indexed family is informally a collection of objects, each associated with an index from some index set.
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Indicator function
In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript specifying the subset.
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Inequality (mathematics)
In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).
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Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
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Intersection (set theory)
In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
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Italian language
Italian (or lingua italiana) is a Romance language.
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Italy
Italy (Italia), officially the Italian Republic (Repubblica Italiana), is a sovereign state in Europe.
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Lebesgue measure
In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.
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Leonida Tonelli
Leonida Tonelli (19 April 1885 – 12 March 1946) was an Italian mathematician, noted for creating Tonelli's theorem, a variation of Fubini's theorem, and for introducing semicontinuity methods as a common tool for the direct method in the calculus of variations.
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Limit of a sequence
As the positive integer n becomes larger and larger, the value n\cdot \sin\bigg(\frac1\bigg) becomes arbitrarily close to 1.
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List of geometers
A geometer is a mathematician whose area of study is geometry.
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Lusin's theorem
In the mathematical field of real analysis, Lusin's theorem (or Luzin's theorem, named for Nikolai Luzin) states that every measurable function is a continuous function on nearly all its domain.
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Lviv
Lviv (Львів; Львов; Lwów; Lemberg; Leopolis; see also other names) is the largest city in western Ukraine and the seventh-largest city in the country overall, with a population of around 728,350 as of 2016.
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Marcel Dekker
Marcel Dekker was a journal and encyclopedia publishing company with editorial boards found in New York, New York.
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Matematicheskii Sbornik
Matematicheskii Sbornik (Математический сборник, abbreviated Mat. Sb.) is a peer reviewed Russian mathematical journal founded by the Moscow Mathematical Society in 1866.
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Mathematical induction
Mathematical induction is a mathematical proof technique.
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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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Measurable function
In mathematics and in particular measure theory, a measurable function is a function between two measurable spaces such that the preimage of any measurable set is measurable, analogously to the definition that a function between topological spaces is continuous if the preimage of each open set is open.
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Measurable space
In mathematics, a measurable space or Borel space is a basic object in measure theory.
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Measure (mathematics)
In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.
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Measure space
A measure space is a basic object of measure theory, a branch of mathematics that studies generalized notions of volumes.
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Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
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Monatshefte für Mathematik
Monatshefte für Mathematik is a peer-reviewed mathematics journal established in 1890.
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National Research Council (Italy)
The Consiglio Nazionale delle Ricerche (CNR) or National Research Council, is the largest research council in Italy.
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Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
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Neighbourhood (mathematics)
In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
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Nikolai Luzin
Nikolai Nikolaevich Luzin (also spelled Lusin; a; 9 December 1883 – 28 January 1950) was a Soviet/Russian mathematician known for his work in descriptive set theory and aspects of mathematical analysis with strong connections to point-set topology.
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Obituary
An obituary (obit for short) is a news article that reports the recent death of a person, typically along with an account of the person's life and information about the upcoming funeral.
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Orthogonal functions
In mathematics, orthogonal functions belong to a function space which is a vector space that has a bilinear form.
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Pavel Korovkin
Pavel Petrovich Korovkin (Павел Петрович Коровкин) (the family name is also transliterated as Korowkin in German sources), (9 July 1913 – 11 August 1985) was a Soviet mathematician whose main fields of research were orthogonal polynomials, approximation theory and potential theory.
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Physicist
A physicist is a scientist who has specialized knowledge in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe.
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Pointwise convergence
In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function.
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Proceedings of the USSR Academy of Sciences
The Proceedings of the USSR Academy of Sciences (Доклады Академии Наук СССР, Doklady Akademii Nauk SSSR (DAN SSSR), Comptes Rendus de l'Académie des Sciences de l'URSS) was a Soviet journal that was dedicated to publishing original, academic research papers in physics, mathematics, chemistry, geology, and biology.
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Real line
In mathematics, the real line, or real number line is the line whose points are the real numbers.
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Rome
Rome (Roma; Roma) is the capital city of Italy and a special comune (named Comune di Roma Capitale).
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Russia
Russia (rɐˈsʲijə), officially the Russian Federation (p), is a country in Eurasia. At, Russia is the largest country in the world by area, covering more than one-eighth of the Earth's inhabited land area, and the ninth most populous, with over 144 million people as of December 2017, excluding Crimea. About 77% of the population live in the western, European part of the country. Russia's capital Moscow is one of the largest cities in the world; other major cities include Saint Petersburg, Novosibirsk, Yekaterinburg and Nizhny Novgorod. Extending across the entirety of Northern Asia and much of Eastern Europe, Russia spans eleven time zones and incorporates a wide range of environments and landforms. From northwest to southeast, Russia shares land borders with Norway, Finland, Estonia, Latvia, Lithuania and Poland (both with Kaliningrad Oblast), Belarus, Ukraine, Georgia, Azerbaijan, Kazakhstan, China, Mongolia and North Korea. It shares maritime borders with Japan by the Sea of Okhotsk and the U.S. state of Alaska across the Bering Strait. The East Slavs emerged as a recognizable group in Europe between the 3rd and 8th centuries AD. Founded and ruled by a Varangian warrior elite and their descendants, the medieval state of Rus arose in the 9th century. In 988 it adopted Orthodox Christianity from the Byzantine Empire, beginning the synthesis of Byzantine and Slavic cultures that defined Russian culture for the next millennium. Rus' ultimately disintegrated into a number of smaller states; most of the Rus' lands were overrun by the Mongol invasion and became tributaries of the nomadic Golden Horde in the 13th century. The Grand Duchy of Moscow gradually reunified the surrounding Russian principalities, achieved independence from the Golden Horde. By the 18th century, the nation had greatly expanded through conquest, annexation, and exploration to become the Russian Empire, which was the third largest empire in history, stretching from Poland on the west to Alaska on the east. Following the Russian Revolution, the Russian Soviet Federative Socialist Republic became the largest and leading constituent of the Union of Soviet Socialist Republics, the world's first constitutionally socialist state. The Soviet Union played a decisive role in the Allied victory in World War II, and emerged as a recognized superpower and rival to the United States during the Cold War. The Soviet era saw some of the most significant technological achievements of the 20th century, including the world's first human-made satellite and the launching of the first humans in space. By the end of 1990, the Soviet Union had the world's second largest economy, largest standing military in the world and the largest stockpile of weapons of mass destruction. Following the dissolution of the Soviet Union in 1991, twelve independent republics emerged from the USSR: Russia, Ukraine, Belarus, Kazakhstan, Uzbekistan, Armenia, Azerbaijan, Georgia, Kyrgyzstan, Moldova, Tajikistan, Turkmenistan and the Baltic states regained independence: Estonia, Latvia, Lithuania; the Russian SFSR reconstituted itself as the Russian Federation and is recognized as the continuing legal personality and a successor of the Soviet Union. It is governed as a federal semi-presidential republic. The Russian economy ranks as the twelfth largest by nominal GDP and sixth largest by purchasing power parity in 2015. Russia's extensive mineral and energy resources are the largest such reserves in the world, making it one of the leading producers of oil and natural gas globally. The country is one of the five recognized nuclear weapons states and possesses the largest stockpile of weapons of mass destruction. Russia is a great power as well as a regional power and has been characterised as a potential superpower. It is a permanent member of the United Nations Security Council and an active global partner of ASEAN, as well as a member of the G20, the Shanghai Cooperation Organisation (SCO), the Council of Europe, the Asia-Pacific Economic Cooperation (APEC), the Organization for Security and Co-operation in Europe (OSCE), and the World Trade Organization (WTO), as well as being the leading member of the Commonwealth of Independent States (CIS), the Collective Security Treaty Organization (CSTO) and one of the five members of the Eurasian Economic Union (EEU), along with Armenia, Belarus, Kazakhstan and Kyrgyzstan.
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Separable space
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence \_^ of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence.
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Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.
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Series (mathematics)
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Sigma additivity
In mathematics, additivity and sigma additivity (also called countable additivity) of a function defined on subsets of a given set are abstractions of the intuitive properties of size (length, area, volume) of a set.
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Stefan Banach
Stefan Banach (30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians.
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Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
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Support (mathematics)
In mathematics, the support of a real-valued function f is the subset of the domain containing those elements which are not mapped to zero.
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Szeged
Szeged (see also other alternative names) is the third largest city of Hungary, the largest city and regional centre of the Southern Great Plain and the county seat of Csongrád county.
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Turin
Turin (Torino; Turin) is a city and an important business and cultural centre in northern Italy.
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Uniform convergence
In the mathematical field of analysis, uniform convergence is a type of convergence of functions stronger than pointwise convergence.
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Union (set theory)
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.
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Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
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Warsaw
Warsaw (Warszawa; see also other names) is the capital and largest city of Poland.
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Redirects here:
Egoroff theorem, Egoroff's Theorem, Egoroff's theorem, Egorov theorem, Egorov's Theorem, Severini-Egoroff theorem, Severini-Egorov theorem.
References
[1] https://en.wikipedia.org/wiki/Egorov's_theorem
