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Vera Pless

Vera Pless 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 Vera Pless rather than just read about it. In short: Vera Pless (nee Stepen; March 5, 1931 – March 2, 2020) was an American mathematician who specialized in combinatorics and coding theory. She was professor emerita at the University of Illinois at Chicago.

Vera Pless — main illustration
Vera Pless — illustration

Key takeaways

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

Reference excerpt

Vera Pless (nee Stepen; March 5, 1931 – March 2, 2020) was an American mathematician who specialized in combinatorics and coding theory. She was professor emerita at the University of Illinois at Chicago.

Biography Vera Stepen was born on Chicago's west side to a Russian Jewish immigrant family. As a teenager, she was more interested in playing the cello than in mathematics, but she left high school two years early to go to the University of Chicago, and finished her studies there in three years. Inspired by Irving Kaplansky to study abstract algebra, she stayed at the university for a master's degree, which she earned in 1952 not long after marrying her husband, a high-energy experimental physicist. She began working in physics at the University of Chicago, but soon won a fellowship to study at Northwestern University. Her husband became a professor at the Massachusetts Institute of Technology; Pless moved with him to Massachusetts, where she completed her doctorate from Northwestern in 1957 under the supervision of Kaplansky's student Alex F. T. W. Rosenberg, soon before the birth of her first child. Two years later, bored with being a stay-at-home mother, Pless began teaching courses at Boston University, and a few years later began searching for a full-time job. Unable to obtain an academic position, she took a position at the Air Force Cambridge Research Laboratory in Massachusetts. where she began working on error-correcting codes. During this time she helped to found an organization called Women in Science and Engineering, and at one point was president. She stayed at AFCRL from 1963 until 1972; a regular visitor and inspiration during this time was Harvard mathematician and cryptographer Andrew Gleason. When the Mansfield amendment banned the military from performing basic research, she moved to the Massachusetts Institute of Technology, where she worked as a research associate for Project MAC. She returned to Chicago in 1975 as a full professor of Mathematics, Statistics and Computer Science at the University of Illinois at Chicago. Her husband and youngest son had remained in the Boston area, and five years after the move, she and her husband divorced. She retired in 2006 and died at her home in Oak Park, Illinois on March 2, 2020 at the age of 88.

Awards and honors In 2012 she became a fellow of the American Mathematical Society.

Selected publications Pless, Vera (1982). Introduction to the Theory of Error-Correcting Codes. Wiley-Interscience Series in Discrete Mathematics. John Wiley & Sons. ISBN 0-471-08684-3. 2nd ed., 1989; 3rd ed., 1998. Pless, Vera; Richard A. Brualdi; WC Huffman (November 1998). Handbook of Coding Theory. North-Holland Mathematical Library. North-Holland. ISBN 978-0-444-81472-2. Pless, Vera; WC Huffman (August 2003). Fundamentals of Error-Correcting Codes. Cambridge University Press. ISBN 978-0-521-78280-7. Pless, Vera; Janet Beissinger (May 2006). The Cryptoclub: Using Mathematics to Make and Break Secret Codes. A.K. Peters, Ltd. ISBN 1-56881-223-X.

References

External links Personal homepage

Illustrations

Vera Pless: Vera Pless
Vera Pless

Worked examples

Example 1 — a first encounter with Vera Pless

Start with the simplest possible case. Write down what Vera Pless 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 Vera Pless 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 Vera Pless 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 Vera Pless

In research
Vera Pless 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 Vera Pless 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
Vera Pless is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1931 births, 2020 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Vera Pless 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 Vera Pless in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Vera Pless means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Vera Pless out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Vera Pless in simple terms?

Vera Pless (nee Stepen; March 5, 1931 – March 2, 2020) was an American mathematician who specialized in combinatorics and coding theory. She was professor emerita at the University of Illinois at Chicago.

Why does Vera Pless 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 Vera Pless?

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 Vera Pless.

Tags

  • 1931 births
  • 2020 deaths
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • American Jews
  • American people of Russian-Jewish descent
  • Coding theorists
  • Fellows of the American Mathematical Society
  • Northwestern University alumni
  • University of Chicago alumni

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