mathematics

Hideki Omori

Hideki Omori 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 Hideki Omori rather than just read about it. In short: Hideki Omori (大森英樹, born December 3, 1938) is a Japanese mathematician who specialized in geometry and worked at Tokyo University of Science. Life and career Hideki Omori was born in Nishinomiya, Hyōgo Prefecture, on December 3, 1938.

Key takeaways

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

Reference excerpt

Hideki Omori (大森英樹, born December 3, 1938) is a Japanese mathematician who specialized in geometry and worked at Tokyo University of Science.

Life and career Hideki Omori was born in Nishinomiya, Hyōgo Prefecture, on December 3, 1938. He completed both his undergraduate and graduate studies at the University of Tokyo. In 1966, he was awarded his Ph.D. degree for his dissertation on the study of transformation groups on manifolds. After completing his doctoral studies, Omori began his professional academic career at Tokyo Metropolitan University, where he held his first research position. In 1967, early in his career, he was invited to the Institute for Advanced Study in Princeton, New Jersey. This was followed by a position at the Mathematics Institute at the University of Warwick in 1970, and later at Bonn University in 1972. Together with Akira Yoshioka, he wrote an introductory calculus textbook: 直観世界からの微・積分入門. During his time at Warwick, he developed a strong interest in the work of K. David Elworthy on stochastic analysis. Omori is credited with being the first person to introduce Elworthy's work on stochastic analysis to the Japanese mathematical community. In 1980, Omori moved to Okayama University, where he continued his research and teaching. Two years later, in 1982, he joined the faculty of Tokyo University of Science as a professor. In 1996, he was awarded the Geometry Prize of the Mathematical Society of Japan. Omori continued his active research well beyond typical retirement age, focusing particularly on problems of deformation quantization beginning in 1999. His retirement from Tokyo University of Science was celebrated in April 2004 with an conference held at the Morito Hall of Tokyo University of Science.

Worked examples

Example 1 — a first encounter with Hideki Omori

Start with the simplest possible case. Write down what Hideki Omori 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 Hideki Omori 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 Hideki Omori 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 Hideki Omori

In research: Hideki Omori 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 Hideki Omori 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: Hideki Omori is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 20th-century Japanese mathematicians, Geometers, so understanding it makes those chapters shorter.
In everyday life: Look for Hideki Omori 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 Hideki Omori in 20 minutes

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

Frequently asked questions

What is Hideki Omori in simple terms?

Hideki Omori (大森英樹, born December 3, 1938) is a Japanese mathematician who specialized in geometry and worked at Tokyo University of Science. Life and career Hideki Omori was born in Nishinomiya, Hyōgo Prefecture, on December 3, 1938.

Why does Hideki Omori 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 Hideki Omori?

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 Hideki Omori.