mathematics

Kumiko Nishioka

Kumiko Nishioka 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 Kumiko Nishioka rather than just read about it. In short: Kumiko Nishioka (西岡久美子, Nishioka Kumiko; born 1954) is a Japanese mathematician at Keio University. She specializes in transcendental numbers, and is known for her research related to the theory of Mahler functions and Painlevé transcendents.

Key takeaways

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

Reference excerpt

Kumiko Nishioka (西岡久美子, Nishioka Kumiko; born 1954) is a Japanese mathematician at Keio University. She specializes in transcendental numbers, and is known for her research related to the theory of Mahler functions and Painlevé transcendents. In 1996 she published the first comprehensive text on transcendence of Mahler functions, Mahler Functions and Transcendence, extending and generalizing Mahler's method. Her husband Keiji Nishioka is also a mathematician, and a coauthor.

References

Worked examples

Example 1 — a first encounter with Kumiko Nishioka

Start with the simplest possible case. Write down what Kumiko Nishioka 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 Kumiko Nishioka 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 Kumiko Nishioka 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 Kumiko Nishioka

In research: Kumiko Nishioka 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 Kumiko Nishioka 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: Kumiko Nishioka is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1954 births, 20th-century Japanese mathematicians, 20th-century women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Kumiko Nishioka 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 Kumiko Nishioka in 20 minutes

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

Frequently asked questions

What is Kumiko Nishioka in simple terms?

Why does Kumiko Nishioka 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 Kumiko Nishioka?

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 Kumiko Nishioka.