mathematics

James Lewin McGregor

James Lewin McGregor 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 James Lewin McGregor rather than just read about it. In short: James Lewin McGregor (May 31, 1921, Crawford Bay, British Columbia – January 3, 1988, Mountain View, California) was a mathematician who introduced Karlin–McGregor polynomials. A native of Canada, he served in the Canadian military during World War II.

Key takeaways

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

Reference excerpt

James Lewin McGregor (May 31, 1921, Crawford Bay, British Columbia – January 3, 1988, Mountain View, California) was a mathematician who introduced Karlin–McGregor polynomials. A native of Canada, he served in the Canadian military during World War II. He received his undergrad degree from the University of British Columbia. He received his PhD from Cal Tech and then became a professor of mathematics at Stanford University.

References Berg, Paul W.; Feferman, Solomon; Karlin, Samuel; Mann, J. Keith (1988), Memorial resolution (PDF), archived from the original (PDF) on 2011-07-27, retrieved 2011-08-21

External links Memorial resolution James Lewin McGregor at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with James Lewin McGregor

Start with the simplest possible case. Write down what James Lewin McGregor 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 James Lewin McGregor 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 James Lewin McGregor 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 James Lewin McGregor

In research: James Lewin McGregor 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 James Lewin McGregor 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: James Lewin McGregor is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1921 births, 1988 deaths, 20th-century Canadian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for James Lewin McGregor 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 James Lewin McGregor in 20 minutes

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

Frequently asked questions

What is James Lewin McGregor in simple terms?

Why does James Lewin McGregor 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 James Lewin McGregor?

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 James Lewin McGregor.