mathematics

Vladimir Lefebvre

Vladimir Lefebvre 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 Lefebvre rather than just read about it. In short: Vladimir Alexandrovich Lefebvre (Влади́мир Алекса́ндрович Лефе́вр, 22 September 1936 in Leningrad, USSR – 9 April 2020) was a mathematical psychologist at the University of California, Irvine. With his wife, V.

Key takeaways

Vladimir Lefebvre 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 Lefebvre to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Vladimir Lefebvre from memory before moving on to harder problems.

Reference excerpt

Vladimir Alexandrovich Lefebvre (Влади́мир Алекса́ндрович Лефе́вр, 22 September 1936 in Leningrad, USSR – 9 April 2020) was a mathematical psychologist at the University of California, Irvine. With his wife, V. I. Dubovskaya, Lefebvre left USSR for USA in 1974. He created equations to predict the large-scale consequences of individual actions. Among the parameters in the equations are the self image of the individual and the action as perceived via this self-image. The result is a number expressing the probability that the individual in question will perform a specific action. Lefebvre's mathematical approach to social psychology is often referred to as reflexive theory - presumably due to the 'reflexive' nature of taking into account subjects' self-image(s). Lefebvre developed Reflexive Theory as a military researcher in the former Soviet Union, where he was born and educated prior to coming to the United States. According to Jonathan Farley, a mathematician at Stanford doing applied work on national security issues, Lefebvre's Reflexive Theory was a Soviet alternative to game theory which had been widely adopted by the American defense establishment. Lefebvre created a mathematical theory of ethical cognition. This theory uses a three level structure: the person, the person’ perception and the person’s perception of their communication partner. This theory was used in negotiations by the governments of the US and the Soviet Union during the break-up of the Soviet Union.

References

External links The Mathematics of Social Ethics: Reflexive Theory and 'The Torturer's Dilemma' - an introductory overview of 'reflexive theory' (as applied to issues in the war on terrorism) at Econophysics Blog Vladimir Lefebvre, PhD - Vladimir Lefebvre bio at the Center for Advanced Defense Studies

Worked examples

Example 1 — a first encounter with Vladimir Lefebvre

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

In research: Vladimir Lefebvre 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 Lefebvre 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 Lefebvre is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1936 births, 2020 deaths, Russian mathematician stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Lefebvre 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 Lefebvre in 20 minutes

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

Frequently asked questions

What is Vladimir Lefebvre in simple terms?

Why does Vladimir Lefebvre 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 Lefebvre?

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 Lefebvre.