mathematics

Tetsuji Shioda

Tetsuji Shioda 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 Tetsuji Shioda rather than just read about it. In short: Tetsuji Shioda (塩田徹治) was a Japanese mathematician who introduced Shioda modular surfaces and who used Mordell–Weil lattices to give examples of dense sphere packings. He was an invited speaker at the ICM in 1990.

Key takeaways

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

Reference excerpt

Tetsuji Shioda (塩田徹治) was a Japanese mathematician who introduced Shioda modular surfaces and who used Mordell–Weil lattices to give examples of dense sphere packings. He was an invited speaker at the ICM in 1990.

References Home page of Tetsuji Shioda Tetsuji Shioda at the Mathematics Genealogy Project Tetsuji Shioda in the Oberwolfach photo collection

Illustrations

Worked examples

Example 1 — a first encounter with Tetsuji Shioda

Start with the simplest possible case. Write down what Tetsuji Shioda 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 Tetsuji Shioda 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 Tetsuji Shioda 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 Tetsuji Shioda

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

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

Frequently asked questions

What is Tetsuji Shioda in simple terms?

Why does Tetsuji Shioda 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 Tetsuji Shioda?

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 Tetsuji Shioda.