mathematics

J. H. van Lint

J. H. van Lint 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 J. H. van Lint rather than just read about it. In short: Jacobus Hendricus ("Jack") van Lint (1 September 1932 – 28 September 2004) was a Dutch mathematician, professor at the Eindhoven University of Technology, of which he was rector magnificus from 1991 till 1996. He gained his Ph.D. from Utrecht University in 1957 under the supervision of Fred van der Blij.

Key takeaways

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

Reference excerpt

Jacobus Hendricus ("Jack") van Lint (1 September 1932 – 28 September 2004) was a Dutch mathematician, professor at the Eindhoven University of Technology, of which he was rector magnificus from 1991 till 1996. He gained his Ph.D. from Utrecht University in 1957 under the supervision of Fred van der Blij. He was professor of mathematics at Eindhoven University of Technology from 1959 to 1997. He was appointed a full professor at Eindhoven University of Technology at the age of 26 years. His field of research was initially number theory, but he worked mainly in combinatorics and coding theory. Van Lint was honored with a great number of awards. He became a member of Royal Netherlands Academy of Arts and Sciences in 1972, received four honorary doctorates, was an honorary member of the Royal Netherlands Mathematics Society (Koninklijk Wiskundig Genootschap), and received a Knighthood.

Books Coding Theory, 1971. Combinatorial Theory Seminar Eindhoven University of Technology, 1974 Introduction to Coding Theory, Springer, Graduate Texts in Mathematics, 1982, 3rd. edition 1999. with Peter Cameron: Designs, Graphs, Codes and their Links, London Mathematical Society Lecture Notes, Cambridge University Press, 1980. with Richard M. Wilson: A Course in Combinatorics, Cambridge University Press, 1992. Van Lint, J. H.; Wilson, R. M. (2001). 2nd edition. Cambridge University Press. ISBN 978-1-139-43063-0. with Gerard van der Geer: Introduction to Coding theory and Algebraic Geometry, Birkhäuser, 1988.

See also Seidel adjacency matrix Seidel switching

References

External links Personal web site O'Connor, John J.; Robertson, Edmund F., "Jacobus Hendricus van Lint", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

Worked examples

Example 1 — a first encounter with J. H. van Lint

Start with the simplest possible case. Write down what J. H. van Lint 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 J. H. van Lint 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 J. H. van Lint 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 J. H. van Lint

In research: J. H. van Lint 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 J. H. van Lint 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: J. H. van Lint is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1932 births, 2004 deaths, 20th-century Dutch mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for J. H. van Lint 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 J. H. van Lint in 20 minutes

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

Frequently asked questions

What is J. H. van Lint in simple terms?

Why does J. H. van Lint 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 J. H. van Lint?

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 J. H. van Lint.