mathematics

János Körner

János Körner 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 János Körner rather than just read about it. In short: János Körner is a Hungarian mathematician who works on information theory and combinatorics. Körner studied Mathematics at the Eötvös Loránd University in Budapest with a degree in 1970 and was then at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences until 1992.

Key takeaways

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

Reference excerpt

János Körner is a Hungarian mathematician who works on information theory and combinatorics. Körner studied Mathematics at the Eötvös Loránd University in Budapest with a degree in 1970 and was then at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences until 1992. From 1981 to 1983 he was at the Bell Laboratories and in 1987–88 at Télécom Paris (ENST) in Paris. He has been a professor at the Sapienza University of Rome since 1993. Over his career, he frequently collaborated with fellow information theorists such as Rudolf Ahlswede, Katalin Marton, and Imre Csiszár. Together with Rudolf Ahlswede and Peter Gács he proved the blowing-up lemma. Besides information theory, he also works on extremal graph theory. In 2014 he received the Claude E. Shannon Award. He served as Associated editor of the IEEE Transactions on Information Theory on multiple occasions. He is a member of the Hungarian Academy of Sciences.

Books With Imre Csiszár: Information Theory: Coding Theorems for Discrete Memoryless Systems, Academic Press 1981, 2nd edition Cambridge University Press 2011.

References

External links Homepage IEEE Biography Archived 2014-10-16 at the Wayback Machine

Worked examples

Example 1 — a first encounter with János Körner

Start with the simplest possible case. Write down what János Körner 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 János Körner 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 János Körner 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 János Körner

In research: János Körner 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 János Körner 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: János Körner is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, 20th-century Hungarian mathematicians, Academic staff of the Sapienza University of Rome, so understanding it makes those chapters shorter.
In everyday life: Look for János Körner 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 János Körner in 20 minutes

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

Frequently asked questions

What is János Körner in simple terms?

Why does János Körner 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 János Körner?

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 János Körner.