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astronomy

Micha Perles

Micha Perles 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 Micha Perles rather than just read about it. In short: Micha Asher Perles (Hebrew: מיכה פרלס) is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University. He earned his Ph.D. in 1964 from the Hebrew University, under the supervision of Branko Grünbaum.

Micha Perles — main illustration
Micha Perles — illustration

Key takeaways

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

Reference excerpt

Micha Asher Perles (Hebrew: מיכה פרלס) is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University. He earned his Ph.D. in 1964 from the Hebrew University, under the supervision of Branko Grünbaum. His contributions include:

The Perles configuration, a set of nine points in the Euclidean plane whose collinearities can be realized only by using irrational numbers as coordinates. Perles used this configuration to prove the existence of irrational polytopes in higher dimensions. The Perles–Sauer–Shelah lemma, a result in extremal set theory whose proof was credited to Perles by Saharon Shelah. The pumping lemma for context-free languages, a widely used method for proving that a language is not context-free that Perles discovered with Yehoshua Bar-Hillel and Eli Shamir. Notable students of Perles include Noga Alon, Gil Kalai, and Nati Linial.

References

External links Micha Asher Perles' home page Micha Perles at DBLP Bibliography Server Micha A. Perles' online publications at arXiv Micha Perles at the Mathematics Genealogy Project

Illustrations

Micha Perles illustration

Worked examples

Example 1 — a first encounter with Micha Perles

Start with the simplest possible case. Write down what Micha Perles 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 Micha Perles 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 Micha Perles 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 Micha Perles

In research
Micha Perles 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 Micha Perles 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
Micha Perles is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of the Hebrew University of Jerusalem, Hebrew University of Jerusalem alumni, Israeli mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Micha Perles 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 Micha Perles in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Micha Perles means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Micha Perles out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Micha Perles in simple terms?

Micha Asher Perles (Hebrew: מיכה פרלס) is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University. He earned his Ph.D. in 1964 from the Hebrew University, under the supervision of Branko Grünbaum.

Why does Micha Perles 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 Micha Perles?

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 Micha Perles.

Tags

  • Academic staff of the Hebrew University of Jerusalem
  • Hebrew University of Jerusalem alumni
  • Israeli mathematicians
  • Living people

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