mathematics

Patrick Ion

Patrick Ion 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 Patrick Ion rather than just read about it. In short: Patrick D. F.

Key takeaways

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

Reference excerpt

Patrick D. F. Ion is an American mathematician whose main interest is in mathematical knowledge management. Ion completed his dissertation on quantum field theory, "Topics in Constructive QFT", in 1972 at the University of London under the supervision of Ray Streater. He continued to work in London, Groningen and Heidelberg in the field of quantum stochastics, q-analogues and the discrete Fourier transform in elementary geometry. He has also translated several mathematical monographs, e.g., of Jean-Pierre Serre and Wolfgang Hackbusch. After joining Mathematical Reviews in 1980, Ion's main focus became the field of mathematical knowledge management. He was since then responsible for the decennial revisions of the Mathematics Subject Classification (MSC). He is co-chair of the World Wide Web Consortium Math Working Group, where he developed the MathML specifications. Moreover, he works on the role of the MSC in the Semantic Web, graph structures from bibliographic information of the mathematical literature and its relation to mathematical knowledge and sociology, and digital libraries. In 2014 he became the chair of the Global Digital Mathematics Library Working Group of the International Mathematical Union.

References

External links Homepage Patrick Ion at the Mathematics Genealogy Project Patrick Ion's page in Mathematical Reviews Patrick Ion's author profile in zbMATH

Worked examples

Example 1 — a first encounter with Patrick Ion

Start with the simplest possible case. Write down what Patrick Ion 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 Patrick Ion 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 Patrick Ion 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 Patrick Ion

In research: Patrick Ion 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 Patrick Ion 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: Patrick Ion is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 21st-century American mathematicians, Alumni of the University of London, so understanding it makes those chapters shorter.
In everyday life: Look for Patrick Ion 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 Patrick Ion in 20 minutes

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

Frequently asked questions

What is Patrick Ion in simple terms?

Patrick D. F.

Why does Patrick Ion 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 Patrick Ion?

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 Patrick Ion.