mathematics

Vyacheslav Vasilievich Sazonov

Vyacheslav Vasilievich Sazonov is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Vyacheslav Vasilievich Sazonov rather than just read about it. In short: Vyacheslav Vasilievich Sazonov (Вячеслав Васильевич Сазонов, born August 25, 1935, Moscow – February 3, 2002, Moscow) was a Soviet-Russian mathematician, specializing in probability and measure theory. He is known for Sazonov's theorem.

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Reference excerpt

Vyacheslav Vasilievich Sazonov (Вячеслав Васильевич Сазонов, born August 25, 1935, Moscow – February 3, 2002, Moscow) was a Soviet-Russian mathematician, specializing in probability and measure theory. He is known for Sazonov's theorem.

Education and career In 1958 he graduated from Moscow State University. There he received in 1961 his Ph.D. under Yuri Prokhorov with thesis "Распределения вероятностей и характеристические функционалы" (Probability distributions and characteristic functionals). Sazonov worked in the Steklov Institute of Mathematics from 1958 to 2002. In 1968 he received his Russian doctorate of sciences (Doctor Nauk) with thesis "Исследования по многомерным и бесконечномерным предельным теоремам теории вероятностей" (Investigations of multidimensional, infinite-dimensional and limit theorems of the theory of probabilities). In 1970 he was an Invited Speaker at the ICM in Nice. In 1971 he was awarded the academic title of Professor in Mathematics and became a member of the CPSU. From 1971 to 1999, he was a professor in the Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, Moscow State University. Professor Sazonov has been deputy editor-in-chief of the journal Theory of Probability and Its Applications for about two decades.

Awards USSR State Prize (1979, jointly with Aleksandr A. Borovkov and V. Statulevičius) for a series of works on asymptotic methods in the theory of probability.

Selected publications Sazonov, V. V. (1981). Normal approximation—some recent advances. Lecture Notes in Mathematics. Vol. 879. Springer. doi:10.1007/BFb0096862. Prokhorov, Yuri V.; Sazonov, V. V., eds. (1987). Proceedings of the 1st World Congress of the Bernoulli Society: Tashkent, USSR, 8–14 September 1986. Vol. 1. VNU Science Press. Sazonov, V. V.; Zalesskii, B. A.; Ulyanov, V. V. (1989). "Normal approximation in Hilbert space". Theory of Probability and Its Applications. 33 (2): 207–227. Sazonov, V. V.; Zalesskii, B. A.; Ulyanov, V. V. (1989). "Normal approximation in Hilbert space". Theory of Probability and Its Applications. 33 (3): 473–487.

References

External links "В. В. Сазонов". Большая биографическая энциклопедия (Big Biographical Encyclopedia, dic.academic.ru). Труды Сазонова (publication list in Russian) Персональная страница на сайте Общероссийский математический портал (personal page on the site all-Russian mathematical portal mathnet.ru)

Worked examples

Example 1 — a first encounter with Vyacheslav Vasilievich Sazonov

Start with the simplest possible case. Write down what Vyacheslav Vasilievich Sazonov claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Vyacheslav Vasilievich Sazonov before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Vyacheslav Vasilievich Sazonov ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Vyacheslav Vasilievich Sazonov

In research: Vyacheslav Vasilievich Sazonov appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Vyacheslav Vasilievich Sazonov in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Vyacheslav Vasilievich Sazonov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1935 births, 2002 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vyacheslav Vasilievich Sazonov outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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Frequently asked questions

What is Vyacheslav Vasilievich Sazonov in simple terms?

Why does Vyacheslav Vasilievich Sazonov matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Vyacheslav Vasilievich Sazonov?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Vyacheslav Vasilievich Sazonov.