astronomy

Toufik Mansour

Toufik Mansour 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 Toufik Mansour rather than just read about it. In short: Toufik Mansour is an Israeli mathematician working in algebraic combinatorics. He is a member of the Druze community and is the first Israeli Druze to become a professional mathematician.

Key takeaways

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

Reference excerpt

Toufik Mansour is an Israeli mathematician working in algebraic combinatorics. He is a member of the Druze community and is the first Israeli Druze to become a professional mathematician. Mansour obtained his Ph.D. in mathematics from the University of Haifa in 2001 under Alek Vainshtein. As of 2007, he is a professor of mathematics at the University of Haifa. He served as chair of the department from 2015 to 2017. He has previously been a faculty member of the Center for Combinatorics at Nankai University from 2004 to 2007, and at The John Knopfmacher Center for Applicable Analysis and Number Theory at the University of the Witwatersrand. Mansour is an expert on Discrete Mathematics and its applications. In particular, he is interested in permutation patterns, colored permutations, set partitions, combinatorics on words, and compositions. He has published extensively in these areas. Mansour is a founding editor of the peer-reviewed journal Enumerative Combinatorics and Applications and has served as its editor-in-chief since the journal’s establishment. Since 2022, he has chaired and organized the annual International Conference on Enumerative Combinatorics and Applications.

Books Heubach, Silvia; Mansour, Toufik (2010), Combinatorics of Compositions and Words, Discrete Mathematics and its Applications, Boca Raton, Florida: CRC Press, ISBN 978-1-4200-7267-9, MR 2531482. Mansour, Toufik (2013), Combinatorics of Set Partitions, Discrete Mathematics and its Applications, Boca Raton, Florida: CRC Press, ISBN 978-1-4398-6333-6, MR 2953184. Mansour, Toufik; Schork, Matthias (2015), Commutation Relations, Normal Ordering, and Stirling Numbers, Discrete Mathematics and its Applications, Boca Raton, Florida: CRC Press, ISBN 978-1-4665-7988-0.

See also List of Israeli Druze Schröder–Hipparchus number

References

External links Home page and list of publications Google Scholar profile ResearchGate profile ORCID profile

Illustrations

Worked examples

Example 1 — a first encounter with Toufik Mansour

Start with the simplest possible case. Write down what Toufik Mansour 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 Toufik Mansour 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 Toufik Mansour 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 Toufik Mansour

In research: Toufik Mansour 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 Toufik Mansour 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: Toufik Mansour is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1968 births, Academic staff of the University of Haifa, Israeli Druze people, so understanding it makes those chapters shorter.
In everyday life: Look for Toufik Mansour 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 Toufik Mansour in 20 minutes

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

Frequently asked questions

What is Toufik Mansour in simple terms?

Toufik Mansour is an Israeli mathematician working in algebraic combinatorics. He is a member of the Druze community and is the first Israeli Druze to become a professional mathematician.

Why does Toufik Mansour 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 Toufik Mansour?

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 Toufik Mansour.