mathematics

Vladimir Kondrashov

Vladimir Kondrashov 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 Vladimir Kondrashov rather than just read about it. In short: Vladimir Iosifovich Kondrashov (Владимир Иосифович Кондрашов; 2 February 1909 – 26 February 1971) was a Soviet mathematician most well known for proving the Rellich–Kondrachov theorem that shows that the embedding of certain Sobolev spaces into Lp spaces is compact. His name has also been transliterated as V.I.

Key takeaways

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

Reference excerpt

Vladimir Iosifovich Kondrashov (Владимир Иосифович Кондрашов; 2 February 1909 – 26 February 1971) was a Soviet mathematician most well known for proving the Rellich–Kondrachov theorem that shows that the embedding of certain Sobolev spaces into Lp spaces is compact. His name has also been transliterated as V.I. Kondrachoff, W. Kondrachov, or V.I. Kondrašov.

Life Kondrashov was born on 2 February [O.S. 20 January] 1909 in Moscow. He graduated with a PhD from Moscow State University under the supervision of Sergei Sobolev in 1941. As a postdoc at Steklov Institute, where he obtained a DSc in 1950, he organised the Moscow Seminar on the Theory of Functions of Several Variables. For the final 20 years of his life until his death on 26 February 1971, he worked at the Moscow Engineering and Physics Institute.

References

External links Vladimir Kondrashov at the Mathematics Genealogy Project Photo of Kondrashov

Worked examples

Example 1 — a first encounter with Vladimir Kondrashov

Start with the simplest possible case. Write down what Vladimir Kondrashov 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 Vladimir Kondrashov 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 Vladimir Kondrashov 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 Vladimir Kondrashov

In research: Vladimir Kondrashov 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 Vladimir Kondrashov 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: Vladimir Kondrashov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1909 births, 1971 deaths, Mathematicians from Moscow, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Kondrashov 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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How to study Vladimir Kondrashov in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Vladimir Kondrashov 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 Vladimir Kondrashov out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Vladimir Kondrashov in simple terms?

Why does Vladimir Kondrashov 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 Vladimir Kondrashov?

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 Vladimir Kondrashov.