astronomy

Johannes Kemperman

Johannes Kemperman is a astronomy 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 Johannes Kemperman rather than just read about it. In short: Johannes Henricus Bernardus Kemperman (July 16, 1924 – June 13, 2011) was a Dutch mathematician. He taught at the University of Rochester for 25 years, and also worked at Purdue University and Rutgers University for ten years, each.

Key takeaways

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

Reference excerpt

Johannes Henricus Bernardus Kemperman (July 16, 1924 – June 13, 2011) was a Dutch mathematician. He taught at the University of Rochester for 25 years, and also worked at Purdue University and Rutgers University for ten years, each. Born in Amsterdam, he received his education from the University of Amsterdam.

Selected publications Kemperman, J. H. B. (1969). "On the optimum rate of transmitting information". Probability and Information Theory. Lecture Notes in Mathematics. Vol. 89. pp. 126–169. doi:10.1007/BFb0079123. ISBN 978-3-540-04608-0. Kemperman, J. H. B. (1963). "A Wiener–Hopf Type Method for a General Random Walk with a Two-Sided Boundary". Annals of Mathematical Statistics. 34 (4): 1168–1193. doi:10.1214/aoms/1177703855. JSTOR 2238330. Kemperman, J. H. B. (1960). "On small sumsets in an abelian group". Acta Mathematica. 103 (1–2): 63–88. doi:10.1007/BF02546525.

References

External links Johannes Kemperman at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Johannes Kemperman

Start with the simplest possible case. Write down what Johannes Kemperman claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Johannes Kemperman 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 Johannes Kemperman 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 Johannes Kemperman

In research: Johannes Kemperman appears in astronomy 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 Johannes Kemperman 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: Johannes Kemperman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1924 births, 2011 deaths, Dutch expatriates in the United States, so understanding it makes those chapters shorter.
In everyday life: Look for Johannes Kemperman 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 Johannes Kemperman in 20 minutes

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

Frequently asked questions

What is Johannes Kemperman in simple terms?

Why does Johannes Kemperman matter?

Because it connects several astronomy 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 Johannes Kemperman?

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 Johannes Kemperman.