mathematics

Victor Shestakov

Victor Shestakov 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 Victor Shestakov rather than just read about it. In short: Victor Ivanovich Shestakov (Russian: Виктор Иванович Шестаков) (1907–1987) was a Russian/Soviet logician and theoretician of electrical engineering. In 1935 he discovered the possible interpretation of Boolean algebra of logic in electro-mechanical relay circuits.

Key takeaways

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

Reference excerpt

Victor Ivanovich Shestakov (Russian: Виктор Иванович Шестаков) (1907–1987) was a Russian/Soviet logician and theoretician of electrical engineering. In 1935 he discovered the possible interpretation of Boolean algebra of logic in electro-mechanical relay circuits. He graduated from Moscow State University (1934) and worked there in the General Physics Department almost until his death. Shestakov proposed a theory of electric switches based on Boolean logic earlier than Claude Shannon (according to certification of Soviet logicians and mathematicians Sofya Yanovskaya, M. G. Gaaze-Rapoport, Roland Dobrushin, Oleg Lupanov, Yu. A. Gastev, Yu. T. Medvedev, and Vladimir Andreevich Uspensky). However, both Shestakov and Shannon defended their theses the same year (1938), and the first publication of Shestakov's result took place only in 1941 (in Russian). In the early 20th century, relay circuits began to be more widely used in automatics, defense of electric and communications systems. Every relay circuit schema for practical use was a distinct invention, because the general principle of simulation of these systems was not known. Shestakov's credit (and independently later Claude Shannon's) is the general theory of logical simulation, inspired by the rapidly increasing complexity of technical demands. Logical simulation requires solid mathematical foundations. Namely these foundations were originally established by Shestakov. Shestakov set forth an algebraic logic model of electrical two-pole switches (later three- and four-pole switches) with series and parallel connections of schematic elements (resistors, capacitors, magnets, inductive coils, etc.). Resistance of these elements could take arbitrary values on the real-number line, and upon the two-element set {0, ∞} this degenerates into the bivalent Boolean algebra of logic. Shestakov may be considered as a forerunner of combinatorial logic and its application (and, hence, Boolean algebra of logic as well) in electric engineering, the 'language' of which is broad enough to simulate non-electrical objects of any conceivable physical nature. He was a pioneer of study of merged continual algebraic logic (parametrical) and topological (structural) models.

See also List of pioneers in computer science Boolean differential calculus

References Shestakov, V. I. Algebra of Two Poles Schemata (Algebra of A-Schemata). In: Automatics and Telemechanics, 1941, N 2, p. 15 – 24 (Russian) Shestakov, V. I. Algebra of Two Poles Schemata (Algebra of A-Schemata).In: Journal of Technical Physics, 1941, Vol. 11, N 6. p. 532 – 549 (Russian) Bazhanov, V. A., Volgin, L. I. V. I. Shestakov and C. Shannon: the Fate of One Brilliant Idea. In: Scientific and Technical Kaleidoscope, 2001, N2, pp. 43 – 48. (Russian) Bazhanov, V. A. V. I. Shestakov and C. Shannon: Different Fates of One Brilliant Idea Architects. In: Problems of History of Science and Technology, 2005, N 2, pp. 112– 121. (Russian) Bazhanov, V. A. History of Logic in Russia and the USSR. Moscow, Kanon+, 2007. (Russian) ISBN 5-88373-032-9 Gaaze-Rapoport, M. G. The Making of Cybernetics in the USSR. In: Cybernetics: Past for the Future. Moscow, 1989, pp. 46–85. (Russian) Gastev Yu. A., Medvedev, Yu. T. Some Problems of Electric Circuits. In: History of Russian Mathematics. Kiev, 1970, Vol. 2, pp. 443 – 446. (Russian) Dobrushin, R. L., Lupanov, O. B. Preface to the book: Shannon, C. Works of the Theory of Information and Cybernetics. Moscow, 1963, pp. 9. (Russian) Yanovskaya S. A. Mathematical Logic and Foundation of Mathematics. In: Mathematics in the USSR During Last 40 Years. Moscow, 1959, Vol. 1, pp. 13 – 120. (Russian) Stanković, Radomir S.; Astola, Jaakko T.; Karpovsky, Mark G. (2007). Some Historical Remarks on Switching Theory. CiteSeerX 10.1.1.66.1248. S2CID 10029339. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help) Specific

External links Victor Shestakov at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Victor Shestakov

Start with the simplest possible case. Write down what Victor Shestakov 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 Victor Shestakov 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 Victor Shestakov 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 Victor Shestakov

In research: Victor Shestakov 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 Victor Shestakov 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: Victor Shestakov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1907 births, 1987 deaths, Mathematical logicians, so understanding it makes those chapters shorter.
In everyday life: Look for Victor Shestakov 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 Victor Shestakov in 20 minutes

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

Frequently asked questions

What is Victor Shestakov in simple terms?

Why does Victor Shestakov 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 Victor Shestakov?

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 Victor Shestakov.