mathematics

Ralph Lent Jeffery

Ralph Lent Jeffery 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 Ralph Lent Jeffery rather than just read about it. In short: Ralph Lent Jeffery (3 October 1889 Overton, Yarmouth County, Nova Scotia, Canada – 1975 Wolfville, Nova Scotia) was a Canadian mathematician working on analysis. He taught at several institutions including Acadia University, the University of Saskatchewan and Queen's University.

Key takeaways

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

Reference excerpt

Ralph Lent Jeffery (3 October 1889 Overton, Yarmouth County, Nova Scotia, Canada – 1975 Wolfville, Nova Scotia) was a Canadian mathematician working on analysis. He taught at several institutions including Acadia University, the University of Saskatchewan and Queen's University. Jeffery Hall at Queen's was named for him. In 1937 he was elected a Fellow of the Royal Society of Canada. In 1925 Jeffery exhibited a bounded function of two real variables, continuous in each, yet fails to have an integral. In 1951 Jeffery published Theory of Functions of a Real Variable which was noted for its coverage of integration theory.

Selected papers 1925: "Definite integrals containing a parameter", Annals of Mathematics 26(3): 173 to 80 doi:10.2307/1967895 1926: "Functions of two variables for which the double integral does not exist", American Mathematical Monthly 33(3): 142,3 1931: "The uniform approximation of a sequence of integrals", American Journal of Mathematics 53(1): 61 to 71 1933: "Sets of k-extent in n-dimensional space", Transactions of the American Mathematical Society 35(3): 629 to 47 doi:10.2307/1989852

References

O'Connor, John J.; Robertson, Edmund F., "Ralph Lent Jeffery", MacTutor History of Mathematics Archive, University of St Andrews Ralph Lent Jeffery at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Ralph Lent Jeffery

Start with the simplest possible case. Write down what Ralph Lent Jeffery 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 Ralph Lent Jeffery 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 Ralph Lent Jeffery 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 Ralph Lent Jeffery

In research: Ralph Lent Jeffery 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 Ralph Lent Jeffery 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: Ralph Lent Jeffery is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1889 births, 1975 deaths, Academic staff of Acadia University, so understanding it makes those chapters shorter.
In everyday life: Look for Ralph Lent Jeffery 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 Ralph Lent Jeffery in 20 minutes

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

Frequently asked questions

What is Ralph Lent Jeffery in simple terms?

Why does Ralph Lent Jeffery 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 Ralph Lent Jeffery?

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 Ralph Lent Jeffery.