mathematics

Olivier Ramaré

Olivier Ramaré 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 Olivier Ramaré rather than just read about it. In short: Olivier Ramaré is a French mathematician who works as Senior researcher for the CNRS. He is currently attached to Aix-Marseille Université.

Key takeaways

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

Reference excerpt

Olivier Ramaré is a French mathematician who works as Senior researcher for the CNRS. He is currently attached to Aix-Marseille Université. Ramaré earned a doctorate in 1991 from the University of Bordeaux with a dissertation Contribution au problème de Goldbach : tout entier >1 est somme d'au plus treize nombres premiers (Contribution to Goldbach's problem: any integer >1 is the sum of at most thirteen prime numbers) supervised by Jean-Marc Deshouillers. In 1995, he sharpened earlier work on Schnirelmann's theorem by proving that every even number is a sum of at most six primes. This result may be compared with Goldbach's conjecture, which states that every even number except 2 is the sum of two primes. The truth of Ramaré's result for all sufficiently large even numbers is a consequence of Vinogradov's theorem, whereas the full result follows from Goldbach's weak conjecture. In turn, Ramaré's result was strengthened by Terence Tao who proved in 2014 that every odd number is the sum of at most five primes. Harald Helfgott's claimed a proof of Goldbach's weak conjecture.

References

External links "Olivier Ramaré". Olivier Ramaré publications indexed by Google Scholar

Illustrations

Worked examples

Example 1 — a first encounter with Olivier Ramaré

Start with the simplest possible case. Write down what Olivier Ramaré 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 Olivier Ramaré 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 Olivier Ramaré 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 Olivier Ramaré

In research: Olivier Ramaré 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 Olivier Ramaré 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: Olivier Ramaré is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century French mathematicians, 21st-century French mathematicians, French National Centre for Scientific Research scientists, so understanding it makes those chapters shorter.
In everyday life: Look for Olivier Ramaré 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 Olivier Ramaré in 20 minutes

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

Frequently asked questions

What is Olivier Ramaré in simple terms?

Olivier Ramaré is a French mathematician who works as Senior researcher for the CNRS. He is currently attached to Aix-Marseille Université.

Why does Olivier Ramaré 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 Olivier Ramaré?

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 Olivier Ramaré.