mathematics

Leroy Milton Kelly

Leroy Milton Kelly 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 Leroy Milton Kelly rather than just read about it. In short: Leroy Milton Kelly (May 8, 1914 – February 21, 2002) was an American mathematician whose research primarily concerned combinatorial geometry. In 1986 he settled a conjecture of Jean-Pierre Serre by proving that n points in complex 3-space, not all lying on a plane, determine an ordinary line—that is, a line containing only two of the n points.

Key takeaways

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

Reference excerpt

Leroy Milton Kelly (May 8, 1914 – February 21, 2002) was an American mathematician whose research primarily concerned combinatorial geometry. In 1986 he settled a conjecture of Jean-Pierre Serre by proving that n points in complex 3-space, not all lying on a plane, determine an ordinary line—that is, a line containing only two of the n points. He taught at Michigan State University. Kelly received his Ph.D. at the University of Missouri in 1948, advised by Leonard Mascot Blumenthal.

Selected publications Kelly, L. M. (1986), "A resolution of the Sylvester–Gallai problem of J. P. Serre", Discrete and Computational Geometry, 1 (2): 101–104, doi:10.1007/BF02187687. Kelly, L. M.; Moser, W. O. J. (1958), "On the number of ordinary lines determined by n points", Can. J. Math., 10: 210–219, doi:10.4153/CJM-1958-024-6, S2CID 123865536, archived from the original on August 7, 2011, retrieved January 1, 2010.

References

Worked examples

Example 1 — a first encounter with Leroy Milton Kelly

Start with the simplest possible case. Write down what Leroy Milton Kelly 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 Leroy Milton Kelly 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 Leroy Milton Kelly 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 Leroy Milton Kelly

In research: Leroy Milton Kelly 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 Leroy Milton Kelly 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: Leroy Milton Kelly is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1914 births, 2002 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Leroy Milton Kelly 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 Leroy Milton Kelly in 20 minutes

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

Frequently asked questions

What is Leroy Milton Kelly in simple terms?

Why does Leroy Milton Kelly 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 Leroy Milton Kelly?

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 Leroy Milton Kelly.