astronomy

Tadao Oda

Tadao Oda 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 Tadao Oda rather than just read about it. In short: Tadao Oda (小田忠雄, Oda Tadao) (born 1940, Kyoto) is a Japanese mathematician working in the field of algebraic geometry, especially toric varieties. The field of toric varieties was developed by Demazure, Mumford, Miyake, Oda and others in the 1970s.

Key takeaways

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

Reference excerpt

Tadao Oda (小田忠雄, Oda Tadao) (born 1940, Kyoto) is a Japanese mathematician working in the field of algebraic geometry, especially toric varieties. The field of toric varieties was developed by Demazure, Mumford, Miyake, Oda and others in the 1970s. He is also known for a book on toric varieties: Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties. In 1958 Oda graduated from Tokai High School in Nagoya, Japan, where Shigefumi Mori and Hisasi Morikawa also graduated from. He earned his bachelor's degree from Kyoto University in 1962, and five years later earned a Ph.D. under David Mumford from Harvard University with thesis Abelian varieties over a perfect field and Dieudonné Modules. After completing his Ph.D., Oda was an associate professor at Nagoya University and became a professor at Tohoku University in 1975. He remained at the university for 28 years. He is an emeritus professor at Tohoku University. Oda wrote "Algebraic Geometry, Sendai, 1985" with Hisasi Morikawa, a former professor at Nagoya University. Tadao has belonged to the Kiwanis Club of Sendai since 1999 and was elected to a three-year term as a trustee of Kiwanis International in 2008.

Works Convex bodies and algebraic geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer Verlag 1988 as co-editor with Hisasi Morikawa: Algebraic Geometry, Sendai 1985, North Holland 1987 Lectures on torus embeddings and applications (based on joint work with Katsuya Miyake), Tata Institute of Fundamental Research, Springer Verlag 1985 Mumford, David; Oda, Tadao (2015), Algebraic geometry. II., Texts and Readings in Mathematics, vol. 73, New Delhi: Hindustan Book Agency, ISBN 978-93-80250-80-9, MR 3443857

References

External links Tadao Oda

Worked examples

Example 1 — a first encounter with Tadao Oda

Start with the simplest possible case. Write down what Tadao Oda 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 Tadao Oda 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 Tadao Oda 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 Tadao Oda

In research: Tadao Oda 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 Tadao Oda 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: Tadao Oda is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1940 births, 20th-century Japanese mathematicians, 21st-century Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Tadao Oda 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 Tadao Oda in 20 minutes

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

Frequently asked questions

What is Tadao Oda in simple terms?

Why does Tadao Oda 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 Tadao Oda?

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 Tadao Oda.