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Louise Hay (mathematician)

Louise Hay (mathematician) 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 Louise Hay (mathematician) rather than just read about it. In short: Louise Hay (June 14, 1935 – October 28, 1989) was a French-born American mathematician. Her work focused on recursively enumerable sets and computational complexity theory, which was influential with both Soviet and US mathematicians in the 1970s.

Louise Hay (mathematician) — main illustration
Louise Hay (mathematician) — illustration

Key takeaways

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

Reference excerpt

Louise Hay (June 14, 1935 – October 28, 1989) was a French-born American mathematician. Her work focused on recursively enumerable sets and computational complexity theory, which was influential with both Soviet and US mathematicians in the 1970s. When she was appointed head of the mathematics department at the University of Illinois at Chicago, she was the only woman to head a math department at a major research university in her era.

Biography Louise Schmir was born in Metz, Lorraine, France, on 14 June 1935 to Marjem (née Szafran) and Samuel Szmir. Her mother died in 1938. Of Polish-Jewish heritage, the family fled the Nazis, moving to Switzerland in 1944 and then moving again to New York City, in 1946, where they Anglicized their surname to Schmir. She attended William Howard Taft High School in the Bronx and won a Westinghouse Science Talent Search award during her senior year. Graduating as valedictorian of her high school, Schmir enrolled in Swarthmore College. In 1955, at the end of her junior year, she married John Hay, and then completed her BA in mathematics in 1956. She began her master's studies at Cornell University, where her husband was studying and when he transferred to Oberlin College, she followed him there. Though she completed her work on mathematical logic at Oberlin, her master's degree was awarded by Cornell in 1959. Her master's thesis was entitled "An Axiomatization of the Infinitely Many-Valued Predicate Calculus." She taught for a year at Oberlin and then worked at the Cornell Aeronautical Laboratory in Buffalo, New York. When her husband relocated to Boston, she followed him there and worked at Mount Holyoke College for three years. In 1963, after the birth of her first son, she returned to Cornell to work on her doctorate. Twin sons were born to the couple in 1964. She was awarded a PhD in 1965; her doctorate thesis was on co-simple isols and was an advance in the Dekker-Myhil-Nerode theory on recursive equivalence types. In 1966 she was awarded a National Science Foundation Fellowship and conducted research at MIT between 1966 and 1968. In 1968, Hay divorced and moved to Chicago, accepting an associate professorship at the University of Illinois. In 1970, she married fellow mathematician Richard Larson, was diagnosed with breast cancer in 1974 and in 1975 was promoted to full professor. She published prolifically throughout the 1970s on recursively enumerable sets and introduced the concept of the "weak jump," a generalization of the Halting problem distinct from the usual notion of the Turing jump. She also proved analogues of the Rice and Rice-Shapiro theorems, as well as working on theories of computational complexity theory. Her work was influential with both Soviet and US mathematicians of the period. She co-founded the Association for Women in Mathematics (AWM) in an effort to provide support to other working mothers. In 1978, she won a Fulbright Scholarship, as did her husband, and they spent the year studying in the Philippines. In 1979, Hay was named the acting head of the University of Illinois' mathematics department, becoming the only woman to head a research university's mathematics department. In 1980, she was appointed to the executive board of the AWM and remained in that post until 1987. She was also named as secretary of the Association for Symbolic Logic in 1982.

Death and legacy In 1988, Hay had a relapse in her breast cancer but continued to work until her death on 28 October 1989 in Oak Park, Illinois. In 1990 the AWM established the Louise Hay Award for Contributions to Mathematics Education to both honor Hay for her contributions to mathematical logic, her leadership and recognize a woman who had made contributions to mathematics and education.

References

Bibliography Hay, Louise Schmir (1959). An axiomatization of the infinitely many-valued predicate calculus. Ithaca, New York: Cornell University. Oakes, Elizabeth H. (2007). Encyclopedia of World Scientists. New York, New York: Infobase Publishing. ISBN 978-1-4381-1882-6. Soare, Robert I. (January–February 1990). "In Memoriam: Louise Hay 1935–1989" (PDF). Association for Women in Mathematics Newsletter. 20 (1). Wellesley, Massachusetts: Wellesley College.

Additional sources Hay, Louise. How I became a mathematician, Newsletter of the Association for Women in Mathematics, 1989 (pp. 8–10). Hughes, Rhonda. Fond Remembrances of Louise Hay, Newsletter of the Association for Women in Mathematics, 1990, (pp. 4–6).

External links Louise Hay on agnesscott.edu (Biographies of Women Mathematicians) O'Connor, John J.; Robertson, Edmund F., "Louise Schmir Hay", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

Louise Hay (mathematician) illustration

Worked examples

Example 1 — a first encounter with Louise Hay (mathematician)

Start with the simplest possible case. Write down what Louise Hay (mathematician) 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 Louise Hay (mathematician) 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 Louise Hay (mathematician) 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 Louise Hay (mathematician)

In research
Louise Hay (mathematician) 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 Louise Hay (mathematician) 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
Louise Hay (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1935 births, 1989 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Louise Hay (mathematician) 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 Louise Hay (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Louise Hay (mathematician) 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 Louise Hay (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Louise Hay (mathematician) in simple terms?

Louise Hay (June 14, 1935 – October 28, 1989) was a French-born American mathematician. Her work focused on recursively enumerable sets and computational complexity theory, which was influential with both Soviet and US mathematicians in the 1970s.

Why does Louise Hay (mathematician) 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 Louise Hay (mathematician)?

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 Louise Hay (mathematician).

Tags

  • 1935 births
  • 1989 deaths
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • Computability theorists
  • Cornell University alumni
  • French emigrants to the United States
  • French people of Polish-Jewish descent
  • Jews who immigrated to the United States to escape Nazism
  • Mount Holyoke College faculty
  • Swarthmore College alumni
  • University of Illinois Chicago faculty

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