astronomy

Gennadii Rubinstein

Gennadii Rubinstein 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 Gennadii Rubinstein rather than just read about it. In short: Gennadii Shlemovich Rubinstein (Russian: Геннадий Шлемович Рубинштейн) was a Russian mathematician. His research focused on mathematical programming and operations research.

Key takeaways

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

Reference excerpt

Gennadii Shlemovich Rubinstein (Russian: Геннадий Шлемович Рубинштейн) was a Russian mathematician. His research focused on mathematical programming and operations research. His name is associated to the Kantorovich–Rubinstein metric, also commonly known as the Wasserstein distance, used in optimal transport.

Alternate form of the first name: Gennady. Alternate forms of the last name: Rubinšteĭn, Rubinshtein.

Doctorate Gennadii Rubinstein got his doctorate in St. Petersburg State University in 1956, under the supervision of Leonid V. Kantorovich.

Selected publications Rubinstein, G. Sh. (1995). "On multiple-point centers of normalized measures on locally compact metric spaces". Siberian Mathematical Journal. 36 (1): 143–146. Bibcode:1995SibMJ..36..143R. doi:10.1007/BF02113928. S2CID 121093125. Rubinstein, G. Sh. (1970). "Duality in mathematical programming and some problems of convex analysis". Russian Mathematical Surveys. 25 (5): 171–200. Bibcode:1970RuMaS..25..171R. doi:10.1070/RM1970v025n05ABEH003800. S2CID 250903124. Akilov, G. P.; Kantorovich, L. V.; Rubinstein, G. Sh. (1967). "Extremal States and Extremal Controls". SIAM Journal on Control. 5 (4): 600–608. doi:10.1137/0305039. Rubinstein, G. Sh. (1963). "Dual extremal problems". Dokl. Akad. Nauk SSSR. 152 (2): 288–291. Rubinstein, G. Sh.; Urbanik, K. (1957). "Solution of an Extremal Problem". Theory of Probability & Its Applications. 2 (3): 364–366. doi:10.1137/1102025. Kantorovich, L. V.; Rubinstein, G. Sh. (1957). "On a functional space and certain extremum problems". Dokl. Akad. Nauk SSSR. 11 (6): 1058–1061. Rubinstein, G. Sh. (1954). "The general solution of a finite system of linear inequalities". Uspekhi Mat. Nauk. 9 (2(60)): 171–177.

Worked examples

Example 1 — a first encounter with Gennadii Rubinstein

Start with the simplest possible case. Write down what Gennadii Rubinstein 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 Gennadii Rubinstein 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 Gennadii Rubinstein 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 Gennadii Rubinstein

In research: Gennadii Rubinstein 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 Gennadii Rubinstein 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: Gennadii Rubinstein is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1923 births, 2004 deaths, Academic staff of Novosibirsk State University, so understanding it makes those chapters shorter.
In everyday life: Look for Gennadii Rubinstein 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 Gennadii Rubinstein in 20 minutes

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

Frequently asked questions

What is Gennadii Rubinstein in simple terms?

Gennadii Shlemovich Rubinstein (Russian: Геннадий Шлемович Рубинштейн) was a Russian mathematician. His research focused on mathematical programming and operations research.

Why does Gennadii Rubinstein 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 Gennadii Rubinstein?

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 Gennadii Rubinstein.