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Józef Marcinkiewicz
Józef Marcinkiewicz (; 30 March 1910 in Cimoszka, near Białystok, Poland – 1940 in Katyn, USSR) was a Polish mathematician. He was a student of Antoni Zygmund; and later worked with Juliusz Schauder, Stefan Kaczmarz and Raphaël Salem. He was a professor of the Stefan Batory University in Wilno. He enlisted in the Polish Army during the German invasion of Poland. In the aftermath of the simultaneous Soviet invasion of Poland, Marcinkiewicz was taken as a Polish POW to a Soviet camp in Starobielsk. The exact place and date of his death remain unknown, but it is believed that he died, when aged 30, in the Katyn massacre on the mass murder site near Smolensk. His parents, to whom he gave his manuscripts before the beginning of World War II, were transported to the Soviet Union in 1940 and later died of hunger in a camp. Their fate is described by ZygmundSee his commemoration in the volume of Marcinkiewicz's collected papers . described the last and his lost mathematical w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cimoszka
Cimoszka is a settlement in the administrative district of Gmina Janów, within Sokółka County, Podlaskie Voivodeship, in north-eastern Poland. It lies approximately south-east of Janów, west of Sokółka, and north of the regional capital Białystok. The village is the birthplace of Polish mathematician Józef Marcinkiewicz Józef Marcinkiewicz (; 30 March 1910 in Cimoszka, near Białystok, Poland – 1940 in Katyn, USSR) was a Polish mathematician. He was a student of Antoni Zygmund; and later worked with Juliusz Schauder, Stefan Kaczmarz and Raphaël Salem. .... References Cimoszka {{Sokółka-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Katyn Massacre
The Katyn massacre, "Katyń crime"; russian: link=yes, Катынская резня ''Katynskaya reznya'', "Katyn massacre", or russian: link=no, Катынский расстрел, ''Katynsky rasstrel'', "Katyn execution" was a series of mass executions of nearly 22,000 Polish military officers and intelligentsia prisoners of war carried out by the Soviet Union, specifically the NKVD ("People's Commissariat for Internal Affairs", the Soviet secret police) in April and May 1940. Though the killings also occurred in the Kalinin and Kharkiv prisons and elsewhere, the massacre is named after the Katyn Forest, where some of the mass graves were first discovered by German forces. The massacre was initiated in NKVD chief Lavrentiy Beria's proposal to Joseph Stalin to execute all captive members of the Polish officer corps, which was secretly approved by the Soviet Politburo led by Stalin. Of the total killed, about 8,000 were officers imprisoned during the 1939 Soviet invasion o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polish Military Personnel Killed In World War II
Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles, people from Poland or of Polish descent * Polish chicken *Polish brothers (Mark Polish and Michael Polish, born 1970), American twin screenwriters Polish may refer to: * Polishing, the process of creating a smooth and shiny surface by rubbing or chemical action ** French polishing, polishing wood to a high gloss finish * Nail polish * Shoe polish * Polish (screenwriting), improving a script in smaller ways than in a rewrite See also * * * Polonaise (other) {{Disambiguation, surname Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Katyn Massacre Victims , a village in Belarus, in Lahojsk district, Minsk Voblast, whose population was massacred in 1943
{{disambig ...
Katyn may refer to: *Katyn massacre, a mass execution of Polish generals, military commanders and intelligentsia in 1940 * ''Katyń'' (film), a 2007 Polish film about the Katyń massacre directed by Andrzej Wajda *Katyn (rural locality), a ''selo'' in Smolensk Oblast, Russia, and the site of the Katyn massacre * Katyń Memorial (Jersey City), Jersey City, New Jersey, dedicated to the victims of the Katyn massacre *Katyn war cemetery, a Polish military cemetery in the village of Katyn, Smolensk Oblast, Russia * National Katyń Memorial, Baltimore, Maryland, dedicated to the victims of the Katyn massacre See also *Khatyn Khatyn ( be, Хаты́нь, Chatyń, ; russian: Хаты́нь, ) was a village of 26 houses and 157 inhabitants in Belarus, in Lahoysk Raion, Minsk Region, 50 km away from Minsk. On 22 March 1943, almost the entire population of the vil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War II Prisoners Of War Held By The Soviet Union
In its most general sense, the term "world" refers to the totality of entities, to the whole of reality or to everything that is. The nature of the world has been conceptualized differently in different fields. Some conceptions see the world as unique while others talk of a "plurality of worlds". Some treat the world as one simple object while others analyze the world as a complex made up of many parts. In ''scientific cosmology'' the world or universe is commonly defined as " e totality of all space and time; all that is, has been, and will be". '' Theories of modality'', on the other hand, talk of possible worlds as complete and consistent ways how things could have been. ''Phenomenology'', starting from the horizon of co-given objects present in the periphery of every experience, defines the world as the biggest horizon or the "horizon of all horizons". In ''philosophy of mind'', the world is commonly contrasted with the mind as that which is represented by the mind. ''Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Sokółka County
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1940 Deaths
Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 ''Ab urbe condita''). The denomination 194 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus and Decimus Clodius Septimius Albinus Caesar become Roman Consuls. * Battle of Issus: Septimius Severus marches with his army (12 legions) to Cilicia, and defeats Pescennius Niger, Roman governor of Syria. Pescennius retreats to Antioch, and is executed by Severus' troops. * Septimius Severus besieges Byzantium (194–196); the city walls suffer extensive damage. Asia * Battle of Yan Province: Warlords Cao Cao and Lü Bu fight for control over Yan Province; the battle lasts for over 100 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1910 Births
Year 191 ( CXCI) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Apronianus and Bradua (or, less frequently, year 944 ''Ab urbe condita''). The denomination 191 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Parthia * King Vologases IV of Parthia dies after a 44-year reign, and is succeeded by his son Vologases V. China * A coalition of Chinese warlords from the east of Hangu Pass launches a punitive campaign against the warlord Dong Zhuo, who seized control of the central government in 189, and held the figurehead Emperor Xian hostage. After suffering some defeats against the coalition forces, Dong Zhuo forcefully relocates the imperial capital from Luoyang to Chang'an. Before leaving, Dong Zhuo orders his troops to loot the tombs of the Ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marcinkiewicz–Zygmund Inequality
In mathematics, the Marcinkiewicz–Zygmund inequality, named after Józef Marcinkiewicz and Antoni Zygmund, gives relations between moments of a collection of independent random variables. It is a generalization of the rule for the sum of variances of independent random variables to moments of arbitrary order. It is a special case of the Burkholder-Davis-Gundy inequality in the case of discrete-time martingales. Statement of the inequality Theorem J. Marcinkiewicz and A. Zygmund. Sur les fonctions indépendantes. ''Fund. Math.'', 28:60–90, 1937. Reprinted in Józef Marcinkiewicz, ''Collected papers'', edited by Antoni Zygmund, Panstwowe Wydawnictwo Naukowe, Warsaw, 1964, pp. 233–259. Yuan Shih Chow and Henry Teicher. ''Probability theory. Independence, interchangeability, martingales''. Springer-Verlag, New York, second edition, 1988. If \textstyle X_, \textstyle i=1,\ldots,n, are independent random variables such that \textstyle E\left( X_\right) =0 and \text ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marcinkiewicz Interpolation Theorem
In mathematics, the Marcinkiewicz interpolation theorem, discovered by , is a result bounding the norms of non-linear operators acting on ''L''p spaces. Marcinkiewicz' theorem is similar to the Riesz–Thorin theorem about linear operators, but also applies to non-linear operators. Preliminaries Let ''f'' be a measurable function with real or complex values, defined on a measure space (''X'', ''F'', ω). The distribution function of ''f'' is defined by :\lambda_f(t) = \omega\left\. Then ''f'' is called weak L^1 if there exists a constant ''C'' such that the distribution function of ''f'' satisfies the following inequality for all ''t'' > 0: :\lambda_f(t)\leq \frac. The smallest constant ''C'' in the inequality above is called the weak L^1 norm and is usually denoted by \, f\, _ or \, f\, _. Similarly the space is usually denoted by ''L''1,''w'' or ''L''1,∞. (Note: This terminology is a bit misleading since the weak norm does not satisfy the triangl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marcinkiewicz Multiplier Theorem
In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply the Fourier transform of a function by a specified function known as the multiplier or symbol. Occasionally, the term ''multiplier operator'' itself is shortened simply to ''multiplier''. In simple terms, the multiplier reshapes the frequencies involved in any function. This class of operators turns out to be broad: general theory shows that a translation-invariant operator on a group which obeys some (very mild) regularity conditions can be expressed as a multiplier operator, and conversely. Many familiar operators, such as translations and differentiation, are multiplier operators, although there are many more complicated examples such as the Hilbert transform. In signal processing, a multiplier operator is called a "filter", and the multiplier is the filter's frequency response ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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