astronomy

Vladimir Zakalyukin

Vladimir Zakalyukin is a astronomy 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 Zakalyukin rather than just read about it. In short: Vladimir Mikhailovich Zakalyukin (in Russian: Владимир Михайлович Закалюкин; 9 July 1951 – 30 December 2011) was a Russian mathematician known for his research on singularity theory, differential equations, and optimal control theory. He obtained his Ph.D. at Moscow State University in 1977 (the thesis: "Lagrangian and Legendrian singularities").

Key takeaways

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

Reference excerpt

Vladimir Mikhailovich Zakalyukin (in Russian: Владимир Михайлович Закалюкин; 9 July 1951 – 30 December 2011) was a Russian mathematician known for his research on singularity theory, differential equations, and optimal control theory. He obtained his Ph.D. at Moscow State University in 1977 (the thesis: "Lagrangian and Legendrian singularities"). His thesis advisor was Vladimir Arnold. In 2007 he won the MAIK Nauka award for best research publication in Russian. He worked at the Moscow State University, the University of Liverpool, and the Moscow Aviation Institute.

Selected publications V. M. Zakalyukin, "Lagrangian and Legendrian singularities", Functional Analysis and Its Applications, 1976. V. M. Zakalyukin, "Reconstructions of fronts and caustics depending on a parameter and versality of mappings", Journal of Soviet Mathematics, 1984. V. M. Zakalyukin, "Singularities of Circle-Surface Contacts and Flags", Functional Analysis and Its Applications, 1997. V. V. Goryunov, V. M. Zakalyukin, "Simple symmetric matrix singularities and the subgroups of Weyl groups Aμ, Dμ, Eμ", Mosc. Math. J., 3:2 (2003). J.-P. Gauthier, V. M. Zakalyukin, "On the motion planning problem, complexity, entropy, and nonholonomic interpolation", J. Dyn. Control Syst., 12:3 (2006).

References

External links R.I.P. (Independent University of Moscow) R.I.P. (Kevin Houston)

Worked examples

Example 1 — a first encounter with Vladimir Zakalyukin

Start with the simplest possible case. Write down what Vladimir Zakalyukin claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Zakalyukin 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 Zakalyukin 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 Zakalyukin

In research: Vladimir Zakalyukin appears in astronomy 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 Zakalyukin 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 Zakalyukin is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1951 births, 2011 deaths, Academic staff of Moscow State University, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Zakalyukin 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 “Vladimir Zakalyukin” →

Affiliate

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

How to study Vladimir Zakalyukin in 20 minutes

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

Frequently asked questions

What is Vladimir Zakalyukin in simple terms?

Why does Vladimir Zakalyukin matter?

Because it connects several astronomy 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 Zakalyukin?

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 Zakalyukin.