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Ruth Aaronson Bari

Ruth Aaronson Bari 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 Ruth Aaronson Bari rather than just read about it. In short: Ruth Aaronson Bari (November 17, 1917 – August 25, 2005) was an American mathematician known for her work in graph theory and algebraic homomorphisms. She was a professor at George Washington University, beginning in 1966.

Ruth Aaronson Bari — main illustration
Ruth Aaronson Bari — illustration

Key takeaways

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

Reference excerpt

Ruth Aaronson Bari (November 17, 1917 – August 25, 2005) was an American mathematician known for her work in graph theory and algebraic homomorphisms. She was a professor at George Washington University, beginning in 1966.

Career The daughter of Polish-Jewish immigrants to the United States, Ruth Aaronson was born November 17, 1917, and grew up in Brooklyn, New York. She attended Brooklyn College, earning her bachelor's degree in mathematics in 1939. She earned her Master of Arts degree at Johns Hopkins University in 1943, but had originally enrolled in the doctoral program. When the university suggested that women in the graduate program should give up their fellowships so that men returning from World War II could study, Bari acceded. After marrying Arthur Bari, she spent the next two decades devoted to their family. They had three daughters together. She returned to Johns Hopkins for graduate work, and completed her dissertation on "absolute reducibility of maps of at most 19 regions" in 1966 at the age of 47. Bari's dissertation explored chromatic polynomials and the Birkhoff–Lewis conjecture. She determined that, "because of the fact that all other cubic maps with fewer than 20 regions contain at least one absolutely reducible configuration, it follows that the Birkhoff-Lewis conjecture holds for all maps with fewer than 20 regions." Her Ph.D. advisor was Daniel Clark Lewis, Jr. and her thesis was titled Absolute Reducibility of Maps of at Most 19 Regions. After she received her degree, mathematician William Tutte invited Bari to spend two weeks lecturing on her work in Canada at the University of Waterloo. Bari's work in the areas of graph theory and homomorphisms—and especially chromatic polynomials—has been recognized as influential. In 1976, two professors relied on computer work to solve the perennial problem of Bari's dissertation, involving the four-color conjecture. When her daughter Martha asked her if she felt cheated by the technological solution, Bari replied, "I'm just grateful that it was solved within my lifetime and that I had the privilege to witness it." During her teaching career, Bari participated in a class-action lawsuit against George Washington University which protested inequalities in promotion and pay for female faculty members. The protests were successful. Notable students of Bari include Carol Crawford, Steven Kahn, and Lee Lawrence. Bari retired at the legally mandated age of 70 in 1988 with the distinction of professor emeritus.

Community and personal life Bari was active in the Washington, DC community. In the early 1970s, Bari used a grant from the National Science Foundation to start a master's degree program in teaching mathematics. She felt that math teachers in DC public schools were not as well prepared as they needed to be. Her three daughters became influential in their fields. Judi Bari (1949–1997) was a leading labor and environmental activist and feminist, who lived and worked in Northern California. She survived an assassination attempt in 1990. Gina Kolata is a mathematics, health and science journalist for the New York Times. Martha Bari is an art historian at Hood College in Frederick, Maryland. Bari died on August 25, 2005, from complications of Alzheimer's disease. She had lived in Silver Spring, Maryland since 1963 and was 87 years old at the time of her death. She was survived by her husband of 64 years of marriage, Arthur Bari (1913–2006). In addition to their three daughters, they had two grandchildren, including Lisa Bari.

References

Worked examples

Example 1 — a first encounter with Ruth Aaronson Bari

Start with the simplest possible case. Write down what Ruth Aaronson Bari 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 Ruth Aaronson Bari 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 Ruth Aaronson Bari 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 Ruth Aaronson Bari

In research
Ruth Aaronson Bari 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 Ruth Aaronson Bari 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
Ruth Aaronson Bari is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1917 births, 2005 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Ruth Aaronson Bari 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 Ruth Aaronson Bari in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Ruth Aaronson Bari 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 Ruth Aaronson Bari out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ruth Aaronson Bari in simple terms?

Ruth Aaronson Bari (November 17, 1917 – August 25, 2005) was an American mathematician known for her work in graph theory and algebraic homomorphisms. She was a professor at George Washington University, beginning in 1966.

Why does Ruth Aaronson Bari 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 Ruth Aaronson Bari?

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 Ruth Aaronson Bari.

Tags

  • 1917 births
  • 2005 deaths
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 20th-century American women scientists
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • American people of Polish-Jewish descent
  • Brooklyn College alumni
  • George Washington University faculty
  • Graph theorists
  • Jewish American scientists

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