Task: Question Generation
Input (English): Context_1 : Imperator Nikolai I (Russian: "Император Николай I" or Emperor Nikolai I) was a Russian dreadnought built during World War I for service in the Black Sea. She was designed to counter multiple prospective Ottoman dreadnoughts which had been placed under order by the Ottoman government, since this raised the possibility that the Russian dreadnoughts being built for the Black Sea Fleet could be outclassed. The ship used the same main armament as the preceding "Imperatritsa Mariya" class , but was larger and more heavily armored. "Imperator Nikolai I" was launched in 1916, but construction was suspended on 24 October 1917. The Soviets considered completing her in 1923, but later rejected the idea. She was towed to Sevastopol in 1927 and scrapped. Context_2 : In the mathematical field of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line). The multiple edges are, within certain constraints, directed. Context_3 : Eugene Borisovich Dynkin (Russian: Евге́ний Бори́сович Ды́нкин ; 11 May 1924 – 14 November 2014) was a Soviet and American mathematician. He has made contributions to the fields of probability and algebra, especially semisimple Lie groups, Lie algebras, and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's lemma are named after him. Context_4 : A Dynkin system, named after Eugene Dynkin, is a collection of subsets of another universal set formula_1 satisfying a set of axioms weaker than those of σ-algebra. Dynkin systems are sometimes referred to as λ-systems (Dynkin himself used this term) or d-system. These set families have applications in measure theory and probability. Context_5 : Felix Ruvimovich Gantmacher (Russian: Феликс Рувимович Гантмахер ) (23 February 1908 – 16 May 1964) was a Soviet mathematician, professor at Moscow Institute of Physics and Technology, well known for his contributions in mechanics, linear algebra and Lie group theory. In 1925–1926 he participated in seminar guided by Nikolai Chebotaryov in Odessa and wrote his first research paper in 1926. Context_6 : Occupy Eugene was a collaboration that occurred in Eugene, Oregon based on the Occupy Wall Street movement which began in New York City on September 17, 2011. Occupy Eugene included peaceful protests and demonstrations. Protesters were concerned about fairness issues regarding wealth-distribution, banking regulation, housing issues and corporate greed. The first protest march was held on October 15, 2011. The march started at the Wayne Morse Free Speech Plaza and continued downtown before marching over Ferry Street Bridge. It was reported that close to 2000 people were in attendance from all over the state of Oregon. Occupy Eugene continues to hold regular protests and actions. Protesters have stated that they do not have a set group of leaders. Occupy Eugene General Assemblies have met from as frequently as twice a day at times during active occupations, and as infrequently as weekly. Many committees have met since at least the third General Assembly - typically weekly, and of course informal conversations are essentially non-stop. Decisions are made through a process known as consensus. Occupy Eugene's consensus process operates in a similar fashion to how consensus is being handled in New York City by protesters involved in Occupy Wall Street. Although the exact method varies from Occupation to Occupation. As of October 18, 2011, The Eugene police department is allowing protesters to camp in downtown Eugene, although city law prohibits it. Eugene police also stated that downtown camping won't be permanently allowed. Context_7 : Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Russian: Никола́й Григо́рьевич Чеботарёв , Ukrainian: Микола Григорович Чоботарьов ) (15 June [O.S. 3 June] 1894 – 2 July 1947) was a noted Ukrainian and Soviet mathematician. He is best known for the Chebotaryov density theorem. Context_8 : Chebotarev's density theorem in algebraic number theory describes statistically the splitting of primes in a given Galois extension "K" of the field formula_1 of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic integers of "K". There are only finitely many patterns of splitting that may occur. Although the full description of the splitting of every prime "p" in a general Galois extension is a major unsolved problem, the Chebotarev density theorem says that the frequency of the occurrence of a given pattern, for all primes "p" less than a large integer "N", tends to a certain limit as "N" goes to infinity. It was proven by Nikolai Chebotaryov in his thesis in 1922, published in . Context_9 : In probability theory, the Doob–Dynkin lemma, named after Joseph L. Doob and Eugene Dynkin, characterizes the situation when one random variable is a function of another by the inclusion of the formula_1-algebras generated by the random variables. The usual statement of the lemma is formulated in terms of one random variable being measurable with respect to the formula_1-algebra generated by the other. Context_10 : In mathematics — specifically, in stochastic analysis — Dynkin's formula is a theorem giving the expected value of any suitably smooth statistic of an Itō diffusion at a stopping time. It may be seen as a stochastic generalization of the (second) fundamental theorem of calculus. It is named after the Russian mathematician Eugene Dynkin. fact_1 : Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Russian: Никола́й Григо́рьевич Чеботарёв , Ukrainian: Микола Григорович Чоботарьов ) (15 June [O.S. 3 June] 1894 – 2 July 1947) was a noted Ukrainian and Soviet mathematician. fact_2 : Eugene Borisovich Dynkin (Russian: Евге́ний Бори́сович Ды́нкин ; 11 May 1924 – 14 November 2014) was a Soviet and American mathematician. Answer: mathematician
Output (English): Nikolai Chebotaryov and Eugene Dynkin, were Soviets, that had which occupation?