astronomy

Hiroaki Terao

Hiroaki Terao 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 Hiroaki Terao rather than just read about it. In short: Hiroaki Terao (寺尾宏明, Hiroaki Terao; born August 13, 1951) is a Japanese mathematician, known as, with Peter Orlik and Louis Solomon, a pioneer of the theory of arrangements of hyperplanes. He was awarded a Mathematical Society of Japan Algebra Prize in 2010.

Key takeaways

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

Reference excerpt

Hiroaki Terao (寺尾宏明, Hiroaki Terao; born August 13, 1951) is a Japanese mathematician, known as, with Peter Orlik and Louis Solomon, a pioneer of the theory of arrangements of hyperplanes. He was awarded a Mathematical Society of Japan Algebra Prize in 2010.

Education Terao started his studies at the University of Tokyo, where he earned in 1974 his bachelor's degree and in 1976 his master's degree. For his graduate studies he went to Kyoto University, where he earned in 1981 his Ph.D. degree, with a thesis written under the supervision of Kyoji Saito.

Career He held teaching positions at International Christian University (1977–1991), University of Wisconsin–Madison (1990–1999), Tokyo Metropolitan University (1998–2006), and Hokkaido University (1996–1998, 2006–2015). He was dean of the school of science of Hokkaido University (2013–2015), after which he became vice president of Hokkaido University (2015–2017). He has been a professor emeritus at Hokkaido University since 2017. He is currently a guest professor at Tokyo Metropolitan University.

Research In 1983, Terao asked whether the freeness of an arrangement is determined from its intersection lattice. This problem is now known as the Terao conjecture, and is still open.

Books Orlik, Peter; Terao, Hiroaki (1992). Arrangements of Hyperplanes. Grundlehren der mathematischen Wissenschaften. Berlin, Heidelberg: Springer. doi:10.1007/978-3-662-02772-1. ISBN 978-3-642-08137-8. ISSN 0072-7830. MR 1217488. Orlik, Peter; Terao, Hiroaki (2007) [2001]. Arrangements and hypergeometric integrals. MSJ Memoirs. Vol. 9 (2nd ed.). Tokyo: Mathematical Society of Japan. ISBN 978-4-931469-10-5. MR 2325213.

References

External links Hiroaki Terao at the Mathematics Genealogy Project Hiroaki Terao publications indexed by Google Scholar Hiroaki Terao's Page Archived 2021-04-15 at the Wayback Machine

Worked examples

Example 1 — a first encounter with Hiroaki Terao

Start with the simplest possible case. Write down what Hiroaki Terao 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 Hiroaki Terao 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 Hiroaki Terao 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 Hiroaki Terao

In research: Hiroaki Terao 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 Hiroaki Terao 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: Hiroaki Terao is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1951 births, 20th-century Japanese mathematicians, 21st-century Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Hiroaki Terao 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 Hiroaki Terao in 20 minutes

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

Frequently asked questions

What is Hiroaki Terao in simple terms?

Why does Hiroaki Terao 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 Hiroaki Terao?

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 Hiroaki Terao.