mathematics

Vladimir Rokhlin Jr.

Vladimir Rokhlin Jr. 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 Rokhlin Jr. rather than just read about it. In short: Vladimir Rokhlin Jr. (born August 4, 1952) is a mathematician and professor of computer science and mathematics at Yale University.

Key takeaways

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

Reference excerpt

Vladimir Rokhlin Jr. (born August 4, 1952) is a mathematician and professor of computer science and mathematics at Yale University. He is the co-inventor with Leslie Greengard of the fast multipole method (FMM) in 1985, recognised as one of the top-ten algorithms of the 20th century. In 2008, Rokhlin was elected as a member into the National Academy of Engineering for the development of fast multipole algorithms and their application to electromagnetic and acoustic scattering.

Short biography Vladimir Rokhlin Jr. was born on August 4, 1952, in Voronezh, USSR (now Russia). In 1973 he received a M.S. in mathematics from the University of Vilnius in Lithuania, and in 1983 a Ph.D. in applied mathematics from Rice University located in Houston, Texas, United States. In 1985 Rokhlin started working at Yale University located in New Haven, Connecticut, United States, where he is now professor of computer science and mathematics. He is the son of Soviet mathematician Vladimir Abramovich Rokhlin.

Awards and honors Rokhlin has received several awards and honors, including:

the Leroy P. Steele Prize for Seminal Contribution to Research from the American Mathematical Society in 2001 (together with Leslie F. Greengard), for their paper describing a new algorithm: the fast multipole method (FMM) the "Rice University Distinguished Alumni Award" in 2001 elected a member of both the U.S. National Academy of Engineering (2008) and the U.S. National Academy of Sciences (1999) the IEEE Honorary Membership in 2006. elected to fellow of the Society for Industrial and Applied Mathematics in 2009 the ICIAM Maxwell Prize from the International Council for Industrial and Applied Mathematics in 2011 The William Benter Prize in Applied Mathematics from the Liu Bie Ju Centre for Mathematical Sciences in 2014 Fellow of the American Academy of Arts and Sciences, 2016

References

External links Vladimir Rokhlin at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Vladimir Rokhlin Jr.

Start with the simplest possible case. Write down what Vladimir Rokhlin Jr. 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 Rokhlin Jr. 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 Rokhlin Jr. 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 Rokhlin Jr.

In research: Vladimir Rokhlin Jr. 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 Rokhlin Jr. 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 Rokhlin Jr. is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1952 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Rokhlin Jr. 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 Rokhlin Jr. in 20 minutes

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

Frequently asked questions

What is Vladimir Rokhlin Jr. in simple terms?

Vladimir Rokhlin Jr. (born August 4, 1952) is a mathematician and professor of computer science and mathematics at Yale University.

Why does Vladimir Rokhlin Jr. 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 Rokhlin Jr.?

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 Rokhlin Jr..