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Hideya Matsumoto

Hideya Matsumoto is a mathematics 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 Hideya Matsumoto rather than just read about it. In short: Hideya Matsumoto (英也, 松本) is a Japanese mathematician who works on algebraic groups, who proved Matsumoto's theorem about Coxeter groups and Matsumoto's theorem calculating the second K-group of a field. Publications Matsumoto, Hideya (1977), Analyse harmonique dans les systèmes de Tits bornologiques de type affine, Lecture Notes in Mathematics, vol. 590, Berlin-New York: Springer-Verlag, doi:10.1007/BFb0078020, ISB…

Key takeaways

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

Reference excerpt

Hideya Matsumoto (英也, 松本) is a Japanese mathematician who works on algebraic groups, who proved Matsumoto's theorem about Coxeter groups and Matsumoto's theorem calculating the second K-group of a field.

Publications Matsumoto, Hideya (1977), Analyse harmonique dans les systèmes de Tits bornologiques de type affine, Lecture Notes in Mathematics, vol. 590, Berlin-New York: Springer-Verlag, doi:10.1007/BFb0078020, ISBN 3-540-08249-2, MR 0579177

References

External links Hideya Matsumoto at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Hideya Matsumoto

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

In research
Hideya Matsumoto appears in mathematics 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 Hideya Matsumoto 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
Hideya Matsumoto is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century Japanese mathematicians, Asian mathematician stubs, Japanese scientist stubs, so understanding it makes those chapters shorter.
In everyday life
Look for Hideya Matsumoto 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 Hideya Matsumoto in 20 minutes

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

Frequently asked questions

What is Hideya Matsumoto in simple terms?

Hideya Matsumoto (英也, 松本) is a Japanese mathematician who works on algebraic groups, who proved Matsumoto's theorem about Coxeter groups and Matsumoto's theorem calculating the second K-group of a field. Publications Matsumoto, Hideya (1977), Analyse harmonique dans les systèmes de Tits bornologiqu…

Why does Hideya Matsumoto matter?

Because it connects several mathematics 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 Hideya Matsumoto?

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 Hideya Matsumoto.

Tags

  • 20th-century Japanese mathematicians
  • Asian mathematician stubs
  • Japanese scientist stubs
  • Living people

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