astronomy

Jacques F. Benders

Jacques F. Benders 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 Jacques F. Benders rather than just read about it. In short: Jacobus Franciscus (Jacques) Benders (1 June 1924 – 9 January 2017) was a Dutch mathematician and emeritus Professor of Operations Research at the Eindhoven University of Technology. He was the first Professor in the Netherlands in the field of Operations Research and is known for his contributions to mathematical programming.

Key takeaways

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

Reference excerpt

Jacobus Franciscus (Jacques) Benders (1 June 1924 – 9 January 2017) was a Dutch mathematician and emeritus Professor of Operations Research at the Eindhoven University of Technology. He was the first Professor in the Netherlands in the field of Operations Research and is known for his contributions to mathematical programming.

Biography Benders studied mathematics at the Utrecht University, where he later also received his PhD in 1960 with the thesis entitled "Partitioning in Mathematical Programming" under supervision of Hans Freudenthal. Late 1940s had started his career as statistician for the Rubber Foundation. In 1955, he moved to Shell laboratory in Amsterdam, where he researched mathematical programming problems concerning the logistics of oil refinery. He developed the technique known as Benders' decomposition, and used the results in his doctoral thesis. In 1963, Benders was appointed Professor of Operations Research at the Eindhoven University of Technology, being the first Professor in the Netherlands in that field. Among his PhD students were Israel Herschberg (1966), Jaap Wessels (1968), Freerk Lootsma (1970), Joseph Evers (1973), Jan van Geldrop (1980), Robert van der Vet (1980) Johannes van der Wal (1980), and Jacob Koene (1982). He retired at the Eindhoven University of Technology on May 31, 1989. In 2009 he was awarded the EURO Gold Medal, the highest distinction within Operations Research in Europe.

Publications Benders has authored and co-authored dozens publications. Books, a selection:

1960. Partitioning in mathematical programming. Doctoral thesis Utrecht University. 1961. Mathematische programmering: syllabus college Rijksuniversiteit Utrecht 1960–1961 1964. De taak van de wiskunde in de operations research. Inaugurele rede. 1982. Een decision support systeem voor locatie en allocatieproblemen bij een drankenconcern. With Jo van Nunen. Articles, a selection:

Benders, Jacques F. "Partitioning procedures for solving mixed-variables programming problems." Numerische mathematik 4.1 (1962): 238–252.

References

External links Jacques F. Benders at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Jacques F. Benders

Start with the simplest possible case. Write down what Jacques F. Benders 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 Jacques F. Benders 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 Jacques F. Benders 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 Jacques F. Benders

In research: Jacques F. Benders 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 Jacques F. Benders 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: Jacques F. Benders is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1924 births, 2017 deaths, Academic staff of the Eindhoven University of Technology, so understanding it makes those chapters shorter.
In everyday life: Look for Jacques F. Benders 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 Jacques F. Benders in 20 minutes

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

Frequently asked questions

What is Jacques F. Benders in simple terms?

Why does Jacques F. Benders 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 Jacques F. Benders?

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 Jacques F. Benders.