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Yegor Zolotarev
Yegor (Egor) Ivanovich Zolotarev (russian: Его́р Ива́нович Золотарёв) (31 March 1847, Saint Petersburg – 19 July 1878, Saint Petersburg) was a Russian mathematician. Biography Yegor was born as a son of Agafya Izotovna Zolotareva and the merchant Ivan Vasilevich Zolotarev in Saint Petersburg, Imperial Russia. In 1857 he began to study at the fifth St Petersburg gymnasium, a school which centred on mathematics and natural science. He finished it with the silver medal in 1863. In the same year he was allowed to be an auditor at the physico-mathematical faculty of St Petersburg university. He had not been able to become a student before 1864 because he was too young. Among his academic teachers were Somov, Chebyshev and Aleksandr Korkin, with whom he would have a tight scientific friendship. In November 1867 he defended his Kandidat thesis ''“About the Integration of Gyroscope Equations”'', after 10 months there followed his thesis pro venia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yegor Ivanovich Zolotarev
Yegor (Egor) Ivanovich Zolotarev (russian: Его́р Ива́нович Золотарёв) (31 March 1847, Saint Petersburg – 19 July 1878, Saint Petersburg) was a Russian mathematician. Biography Yegor was born as a son of Agafya Izotovna Zolotareva and the merchant Ivan Vasilevich Zolotarev in Saint Petersburg, Imperial Russia. In 1857 he began to study at the fifth St Petersburg gymnasium, a school which centred on mathematics and natural science. He finished it with the silver medal in 1863. In the same year he was allowed to be an auditor at the physico-mathematical faculty of St Petersburg university. He had not been able to become a student before 1864 because he was too young. Among his academic teachers were Somov, Chebyshev and Aleksandr Korkin, with whom he would have a tight scientific friendship. In November 1867 he defended his Kandidat thesis ''“About the Integration of Gyroscope Equations”'', after 10 months there followed his thesis pro venia lege ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heidelberg
Heidelberg (; Palatine German language, Palatine German: ''Heidlberg'') is a city in the States of Germany, German state of Baden-Württemberg, situated on the river Neckar in south-west Germany. As of the 2016 census, its population was 159,914, of which roughly a quarter consisted of students. Located about south of Frankfurt, Heidelberg is the List of cities in Baden-Württemberg by population, fifth-largest city in Baden-Württemberg. Heidelberg is part of the densely populated Rhine-Neckar, Rhine-Neckar Metropolitan Region. Heidelberg University, founded in 1386, is Germany's oldest and one of Europe's most reputable universities. Heidelberg is a Science, scientific hub in Germany and home to several internationally renowned #Research, research facilities adjacent to its university, including the European Molecular Biology Laboratory and four Max Planck Society, Max Planck Institutes. The city has also been a hub for the arts, especially literature, throughout the centurie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century Mathematicians From The Russian Empire
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1847 Births
Events January–March * January 4 – Samuel Colt sells his first revolver pistol to the U.S. government. * January 13 – The Treaty of Cahuenga ends fighting in the Mexican–American War in California. * January 16 – John C. Frémont is appointed Governor of the new California Territory. * January 17 – St. Anthony Hall fraternity is founded at Columbia University, New York City. * January 30 – Yerba Buena, California, is renamed San Francisco. * February 5 – A rescue effort, called the First Relief, leaves Johnson's Ranch to save the ill-fated Donner Party (California-bound emigrants who became snowbound in the Sierra Nevada earlier this winter; some have resorted to survival by cannibalism). * February 22 – Mexican–American War: Battle of Buena Vista – 5,000 American troops under General Zachary Taylor use their superiority in artillery to drive off 15,000 Mexican troops under Antonio López de Santa Anna, defeating the Mexicans the next da ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elliptic Filter
An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband. The amount of ripple in each band is independently adjustable, and no other filter of equal order can have a faster transition in gain between the passband and the stopband, for the given values of ripple (whether the ripple is equalized or not). Alternatively, one may give up the ability to adjust independently the passband and stopband ripple, and instead design a filter which is maximally insensitive to component variations. As the ripple in the stopband approaches zero, the filter becomes a type I Chebyshev filter. As the ripple in the passband approaches zero, the filter becomes a type II Chebyshev filter and finally, as both ripple values approach zero, the filter becomes a Butterworth filter. The gain of a lowpass elliptic filter as a f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zolotarev Polynomials
In mathematics, Zolotarev polynomials are polynomials used in approximation theory. They are sometimes used as an alternative to the Chebyshev polynomials where accuracy of approximation near the origin is of less importance. Zolotarev polynomials differ from the Chebyshev polynomials in that two of the coefficients are fixed in advance rather than allowed to take on any value. The Chebyshev polynomials of the first kind are a special case of Zolotarev polynomials. These polynomials were introduced by Russian mathematician Yegor Ivanovich Zolotarev in 1868. Definition and properties Zolotarev polynomials of degree n in x are of the form : Z_n(x,\sigma) = x^n -\sigma x^ + \cdots + a_k x^k + \cdots + a_0 \ , where \sigma is a prescribed value for a_ and the a_k \in \mathbb R are otherwise chosen such that the deviation of Z_n(x) from zero is minimum in the interval 1,1/math>. A subset of Zolotarev polynomials can be expressed in terms of Chebyshev polynomials of the first kind ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zolotarev's Lemma
In number theory, Zolotarev's lemma states that the Legendre symbol :\left(\frac\right) for an integer ''a'' modulo an odd prime number ''p'', where ''p'' does not divide ''a'', can be computed as the sign of a permutation: :\left(\frac\right) = \varepsilon(\pi_a) where ε denotes the signature of a permutation and π''a'' is the permutation of the nonzero residue classes mod ''p'' induced by multiplication by ''a''. For example, take ''a'' = 2 and ''p'' = 7. The nonzero squares mod 7 are 1, 2, and 4, so (2, 7) = 1 and (6, 7) = −1. Multiplication by 2 on the nonzero numbers mod 7 has the cycle decomposition (1,2,4)(3,6,5), so the sign of this permutation is 1, which is (2, 7). Multiplication by 6 on the nonzero numbers mod 7 has cycle decomposition (1,6)(2,5)(3,4), whose sign is −1, which is (6, 7). Proof In general, for any finite group ''G'' of order ''n'', it is straightforward to determine the signature of the permutation π''g'' made by left-multiplication ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nouvelles Annales De Mathématiques
The ''Nouvelles Annales de Mathématiques'' (subtitled ''Journal des candidats aux écoles polytechnique et normale'') was a French scientific journal in mathematics. It was established in 1842 by Olry Terquem and Camille-Christophe Gerono, and continued publication until 1927, with later editors including Charles-Ange Laisant and Raoul Bricard. , retrieved 2014-07-14. Initially published by Carilian-Goeury, it was taken over after several years by a different publisher, Bachelier. Although competing in subject matter with |
Stable Distributions
In probability theory, a distribution is said to be stable if a linear combination of two independent random variables with this distribution has the same distribution, up to location and scale parameters. A random variable is said to be stable if its distribution is stable. The stable distribution family is also sometimes referred to as the Lévy alpha-stable distribution, after Paul Lévy, the first mathematician to have studied it.B. Mandelbrot, The Pareto–Lévy Law and the Distribution of Income, International Economic Review 1960 https://www.jstor.org/stable/2525289 Of the four parameters defining the family, most attention has been focused on the stability parameter, \alpha (see panel). Stable distributions have 0 < \alpha \leq 2, with the upper bound corresponding to the , and to the Cau ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Blood Poisoning
Sepsis, formerly known as septicemia (septicaemia in British English) or blood poisoning, is a life-threatening condition that arises when the body's response to infection causes injury to its own tissues and organs. This initial stage is followed by suppression of the immune system. Common signs and symptoms include fever, increased heart rate, increased breathing rate, and confusion. There may also be symptoms related to a specific infection, such as a cough with pneumonia, or painful urination with a kidney infection. The very young, old, and people with a weakened immune system may have no symptoms of a specific infection, and the body temperature may be low or normal instead of having a fever. Severe sepsis causes poor organ function or blood flow. The presence of low blood pressure, high blood lactate, or low urine output may suggest poor blood flow. Septic shock is low blood pressure due to sepsis that does not improve after fluid replacement. Sepsis is caused by ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tsarskoe Selo
Tsarskoye Selo ( rus, Ца́рское Село́, p=ˈtsarskəɪ sʲɪˈlo, a=Ru_Tsarskoye_Selo.ogg, "Tsar's Village") was the town containing a former residence of the Russian imperial family and visiting nobility, located south from the center of Saint Petersburg. The residence now forms part of the town of Pushkin. Tsarskoye Selo forms one of the World Heritage Site Saint Petersburg and Related Groups of Monuments. The town bore the name Tsarskoe Selo until 1918, Detskoe Selo ( ru , Детское Село , translation = Children's Village) between in the years 1918–1937, then Pushkin ( ru , Пушкин) from 1937 onwards. History The area of Tsarskoye Selo, once part of Swedish Ingria, first became a Russian royal/imperial residence in the early 18th century as an estate of the Empress-consort Catherine (later Empress-regnant as Catherine I, ), from whom the Catherine Palace takes its name. The Alexander Palace (built from 1792 onwards) originated as the home o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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