mathematics

Julian Sochocki

Julian Sochocki 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 Julian Sochocki rather than just read about it. In short: Julian Karol Sochocki (Polish: Julian Karol Sochocki; Russian: Юлиан Васильевич Сохоцкий; February 2, 1842 – December 14, 1927) was a Polish-Russian mathematician. His name is sometimes transliterated from Russian in several different ways (e.g.

Key takeaways

Julian Sochocki belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Julian Sochocki to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Julian Sochocki from memory before moving on to harder problems.

Reference excerpt

Julian Karol Sochocki (Polish: Julian Karol Sochocki; Russian: Юлиан Васильевич Сохоцкий; February 2, 1842 – December 14, 1927) was a Polish-Russian mathematician. His name is sometimes transliterated from Russian in several different ways (e.g. Sokhotski or Sochotski).

Life and work Sochocki was born in Warsaw, Congress Poland, Russian Empire, to a Polish family, where he attended state gymnasium. In 1860 he registered at the physico-mathematical department of St Petersburg University. His study there was interrupted for the period 1860–1865 because of his involvement with Polish patriotic movement: he had to return to Warsaw to escape prosecution. In 1866 he graduated from the Department of Physics and Mathematics at the University of Saint Petersburg. In 1868 he received his master's degree and in 1873 his doctorate. His master's dissertation, practically the first text in Russian mathematical literature on Cauchy method of residues, was published in 1868. The dissertation itself contains many original grasps, which have been also ascribed to other mathematicians. His doctoral thesis contains the famous Sokhotski–Plemelj theorem. From 1868 Sochotcki lectured at the St Petersburg university, first as the "privat-docent", from 1882 as an ordinary professor, and from 1893 as a merited professor. In 1894 he was elected corresponding member of the Polish Academy of Arts and Sciences. Sochocki died on December 14, 1927, in a nursing home in Leningrad. Sochocki is mainly remembered for the Casorati–Sokhotski–Weierstrass theorem and for the Sokhotski–Plemelj theorem.

Selected publications Теорiя интегральныхъ вычетовъ с нѣкоторыми приложенiями (A Theory of Integral Residues with Some Applications) (1868) Объ определенныхъ интегралахъ и функцiяхъ употребляемыхъ при разложенiяхъ въ ряды (On Definite Integrals and Functions Used in Series Expansions) (1873) О суммахъ Гаусса и о законе взаимности символа Лежандра (On Gauss Sums and the Reciprocity Law of the Legendre Symbol) (1877) Высшая алгебра (Higher Algebra) (St. Petersburg, 1882) Теорiя чиселъ (Number Theory) (St. Petersburg, 1888) Начало общего наибольшего делителя въ применении к теорiи делимости алгебраическихъ чиселъ (The Principle of the Greatest Common Divisor Applied to Divisibility Theory of Algebraic Numbers) (1893), JFM 25.0300.01, JFM 25.0297.04

Notes

Sources "Сохоцкий, Юлиан Васильевич" . Brockhaus and Efron Encyclopedic Dictionary (in Russian). 1906.

External links Yulian Vasilievich Sokhotski (in Russian) Youschkevitch, A. P. (1970–1980). "Yulian-Karl Vasilievich Sokhotski". Dictionary of Scientific Biography. New York: Charles Scribner's Sons. ISBN 978-0-684-10114-9. O'Connor, John J.; Robertson, Edmund F., "Julian Sochocki", MacTutor History of Mathematics Archive, University of St Andrews Julian Karol Sochocki Zentralblatt profile

Illustrations

Worked examples

Example 1 — a first encounter with Julian Sochocki

Start with the simplest possible case. Write down what Julian Sochocki 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 Julian Sochocki 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 Julian Sochocki 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 Julian Sochocki

In research: Julian Sochocki 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 Julian Sochocki 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: Julian Sochocki is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1842 births, 1927 deaths, 19th-century mathematicians from the Russian Empire, so understanding it makes those chapters shorter.
In everyday life: Look for Julian Sochocki 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Julian Sochocki” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Julian Sochocki in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Julian Sochocki means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Julian Sochocki out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Julian Sochocki in simple terms?

Why does Julian Sochocki 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 Julian Sochocki?

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 Julian Sochocki.