mathematics

G. W. Peck

G. W. Peck 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 G. W. Peck rather than just read about it. In short: G. W.

Key takeaways

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

Reference excerpt

G. W. Peck is a pseudonymous attribution used as the author or co-author of a number of published academic papers in mathematics. Peck is sometimes humorously identified with George Wilbur Peck, a former governor of the US state of Wisconsin. Peck first appeared as the official author of a 1979 paper entitled "Maximum antichains of rectangular arrays". The name "G. W. Peck" is derived from the initials of the actual writers of this paper: Ronald Graham, Douglas West, George B. Purdy, Paul Erdős, Fan Chung, and Daniel Kleitman. The paper initially listed Peck's affiliation as Xanadu, but the editor of the journal objected, so Ron Graham gave him a job at Bell Labs. Since then, Peck's name has appeared on some sixteen publications, primarily as a pseudonym of Daniel Kleitman. In reference to "G. W. Peck", Richard P. Stanley defined a Peck poset to be a graded partially ordered set that is rank symmetric, rank unimodal, and strongly Sperner. The posets in the original paper by G. W. Peck are not quite Peck posets, as they lack the property of being rank symmetric.

See also Nicolas Bourbaki Arthur Besse John Rainwater Blanche Descartes Monsieur LeBlanc

References

External links Imaginary Erdős numbers, Numberphile, Nov 26, 2014. Video interview with Ron Graham in which he tells the story of G. W. Peck.

Worked examples

Example 1 — a first encounter with G. W. Peck

Start with the simplest possible case. Write down what G. W. Peck 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 G. W. Peck 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 G. W. Peck 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 G. W. Peck

In research: G. W. Peck 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 G. W. Peck 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: G. W. Peck is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic shared pseudonyms, American mathematicians, Pseudonymous mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for G. W. Peck 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.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study G. W. Peck in 20 minutes

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

Frequently asked questions

What is G. W. Peck in simple terms?

G. W.

Why does G. W. Peck 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 G. W. Peck?

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 G. W. Peck.