mathematics

Philippe Flajolet

Philippe Flajolet 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 Philippe Flajolet rather than just read about it. In short: Philippe Flajolet (French: [flaʒɔlɛ]; 1 December 1948 – 22 March 2011) was a French computer scientist. Biography A former student of École Polytechnique, Philippe Flajolet received his PhD in computer science from University Paris Diderot in 1973 and state doctorate from Paris-Sud 11 University in 1979.

Key takeaways

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

Reference excerpt

Philippe Flajolet (French: [flaʒɔlɛ]; 1 December 1948 – 22 March 2011) was a French computer scientist.

Biography A former student of École Polytechnique, Philippe Flajolet received his PhD in computer science from University Paris Diderot in 1973 and state doctorate from Paris-Sud 11 University in 1979. Most of Philippe Flajolet's research work was dedicated towards general methods for analyzing the computational complexity of algorithms, including the theory of average-case complexity. He introduced the theory of analytic combinatorics. With Robert Sedgewick of Princeton University, he wrote the first book-length treatment of the topic, the 2009 book entitled Analytic Combinatorics. In 1993, together with Rainer Kemp, Helmut Prodinger and Robert Sedgewick, Flajolet initiated the successful series of workshops and conferences which was key to the development of a research community around the analysis of algorithms, and which evolved into the AofA—International Meeting on Combinatorial, Probabilistic, and Asymptotic Methods in the Analysis of Algorithms. A summary of his research up to 1998 can be found in the article "Philippe Flajolet's research in Combinatorics and Analysis of Algorithms" by H. Prodinger and W. Szpankowski, Algorithmica 22 (1998), 366–387. At the time of his death from a serious illness, Philippe Flajolet was a research director (senior research scientist) at INRIA in Rocquencourt. From 1994 to 2003 he was a corresponding member of the French Academy of Sciences, and was a full member from 2003 on. He was also a member of the Academia Europaea.

Memory The HyperLogLog commands of Redis, released in April 2014, are prefixed with "PF" in honor of Philippe Flajolet. The Flajolet Lecture Prize, which has been awarded since 2014, was also named in honor of him. Philippe Flajolet also received the 2019 Leroy P. Steele Prize from the American Mathematical Society for his work in Mathematical Exposition., more specifically, for his book Analytic Combinatorics, which he co-wrote with Robert Sedgewick.

Selected works with Robert Sedgewick: An Introduction to the Analysis of Algorithms. 2nd edition, Addison-Wesley, Boston, Mass. 1995, ISBN 0-201-40009-X with Robert Sedgewick: Analytic Combinatorics. Cambridge University Press, Cambridge 2009, ISBN 978-0-521-89806-5 Random tree models in the analysis of algorithms. INRIA, Rocquencourt 1987 (Rapports de recherche; Vol. 729) with Andrew Odlyzko: Singularity analysis of generating functions. University Press, Stanford, Calif. 1988

References

External links Philippe Flajolet's Home Page Philippe Flajolet and Analytic Combinatorics, Conference in the memory of Philippe Flajolet Luc Devroye, Philippe Flajolet, 1 December 1948 – 22 March 2011 Philippe Flajolet: Philippe Flajolet, On-Line Encyclopedia of Integer Sequences

Illustrations

Worked examples

Example 1 — a first encounter with Philippe Flajolet

Start with the simplest possible case. Write down what Philippe Flajolet 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 Philippe Flajolet 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 Philippe Flajolet 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 Philippe Flajolet

In research: Philippe Flajolet 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 Philippe Flajolet 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: Philippe Flajolet is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 2011 deaths, 20th-century French mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Philippe Flajolet 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 Philippe Flajolet in 20 minutes

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

Frequently asked questions

What is Philippe Flajolet in simple terms?

Philippe Flajolet (French: [flaʒɔlɛ]; 1 December 1948 – 22 March 2011) was a French computer scientist. Biography A former student of École Polytechnique, Philippe Flajolet received his PhD in computer science from University Paris Diderot in 1973 and state doctorate from Paris-Sud 11 University in…

Why does Philippe Flajolet 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 Philippe Flajolet?

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 Philippe Flajolet.