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Lenore Blum

Lenore Blum 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 Lenore Blum rather than just read about it. In short: Lenore Carol Blum (née Epstein; born December 18, 1942) is an American computer scientist and mathematician who has made contributions to the theories of real number computation, cryptography, and pseudorandom number generation. She was a distinguished career professor of computer science at Carnegie Mellon University until 2019 and is currently a professor in residence at the University of California, Berkeley.

Lenore Blum — main illustration
Lenore Blum — illustration

Key takeaways

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

Reference excerpt

Lenore Carol Blum (née Epstein; born December 18, 1942) is an American computer scientist and mathematician who has made contributions to the theories of real number computation, cryptography, and pseudorandom number generation. She was a distinguished career professor of computer science at Carnegie Mellon University until 2019 and is currently a professor in residence at the University of California, Berkeley. She is also known for her efforts to increase diversity in mathematics and computer science.

Early life and education Blum was born to a Jewish family in New York City, where her mother was a science teacher. They moved to Venezuela when Blum was nine. After graduating from her Venezuelan high school at age 16, she studied architecture at Carnegie Institute of Technology (now Carnegie Mellon University) beginning in 1959. With the assistance of Alan Perlis, she shifted fields to mathematics in 1960. She married Manuel Blum, then a student at the Massachusetts Institute of Technology, and transferred in 1961 to Simmons College, a private women's liberal arts college in Boston. Simmons did not have a strong mathematics program but she was eventually able to take Isadore Singer's mathematics classes at MIT, graduating from Simmons with a B.S. in mathematics in 1963. She received her Ph.D. in mathematics from the Massachusetts Institute of Technology in 1968. Her dissertation, Generalized Algebraic Theories: A Model Theoretic Approach, showed deep connections between model theory (a branch of mathematical logic) and differential algebra. She was supervised by Gerald Sacks (after being unable to follow an earlier advisor, Kenkichi Iwasawa, in his move to Princeton University because, at the time, Princeton did not accept female graduate students).

Career After completing her doctorate, Blum went to the University of California at Berkeley to work with Julia Robinson as a postdoctoral fellow and lecturer in mathematics. (Robinson did not have a regular position in the Berkeley Mathematics Department. It was not until 1976, when she was elected as the first woman in the mathematics section of the National Academy of Sciences, did Robinson receive a permanent offer from Berkeley.) At that time, the department had no permanent positions for women, and after two years, Blum's position as lecturer was not renewed. In 1971 she became one of the founders of the Association for Women in Mathematics.[AWM] In 1973 she joined the faculty of Mills College, a women's college in the Oakland hills near Berkeley. In 1974 she founded the mathematics and computer science department at Mills, at that time the only computer science program at a women's college. She served as the head or co-head of the department for 13 years. From 1975 to 1978 she served as the third president of the Association for Women in Mathematics.[AWM] Following this, Blum was elected as a Member at Large on the council of the AMS, serving from 1978 to 1980 and later as vice-President of the AMS (1990-1993). In 1979 she was awarded an endowed professorship, the first Letts-Villard Chair at Mills. In 1983 Blum won a National Science Foundation (NSF) Visiting Professorship for Women award to work with Michael Shub for two years at the CUNY Graduate Center. In 1987 she spent a year at IBM. In 1992 Blum became the deputy director of the Mathematical Sciences Research Institute (MSRI), working there with its director William Thurston. After visiting the City University of Hong Kong in 1996–1998 to work on her book Complexity and Real Computation (during Hong Kong's handover from British to Chinese rule), she became a Distinguished Career Professor of Computer Science at Carnegie Mellon University (CMU) in 1999. At CMU, she took the philosophy that the low numbers of women majoring in computer science were in part caused by a vicious cycle: because there were few women, the women in computer science had fewer support networks (such as friends in the same major to help them with coursework) than men. And because these factors made being a computer scientist less pleasant and more difficult for the women, fewer women chose to major in computer science. Instead of the then-popular approach of changing the curriculum to be more application-centric in the hope of attracting women, she pushed to maintain a traditional computer science program but to change the culture surrounding the program to be more welcoming. In support of this goal, she founded the Women@SCS program at CMU, which provided both mentoring and outreach opportunities for women in computer science. Through this program, which came to be directed by Blum's student Carol Frieze, CMU was able to increase the proportion of women in the undergraduate computer science program to nearly 50%. At CMU, Blum co-directed the NSF seeded ALADDIN Center which promoted the synergy between algorithm theory and practice. She also founded Project Olympus at CMU, an business incubator program that led to many startups in Pittsburgh associated with CMU and its computer program. She resigned from CMU in 2018 (effective August 2019) after a change in management structure of the CMU Center for Innovation and Entrepreneurship, which she also co-founded, led to sexist treatment of her and the exclusion of other women from project activities.

… excerpt ends here. Continue reading the full article.

Illustrations

Lenore Blum illustration
Lenore Blum: Lenore, Manuel, and Avrim Blum in 1973
Lenore, Manuel, and Avrim Blum in 1973

Worked examples

Example 1 — a first encounter with Lenore Blum

Start with the simplest possible case. Write down what Lenore Blum 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 Lenore Blum 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 Lenore Blum 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 Lenore Blum

In research
Lenore Blum 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 Lenore Blum 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
Lenore Blum is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1942 births, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Lenore Blum 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 Lenore Blum in 20 minutes

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

Frequently asked questions

What is Lenore Blum in simple terms?

Lenore Carol Blum (née Epstein; born December 18, 1942) is an American computer scientist and mathematician who has made contributions to the theories of real number computation, cryptography, and pseudorandom number generation. She was a distinguished career professor of computer science at Carneg…

Why does Lenore Blum 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 Lenore Blum?

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 Lenore Blum.

Tags

  • 1942 births
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • American computer scientists
  • American women computer scientists
  • Carnegie Mellon University faculty
  • Fellows of the American Association for the Advancement of Science
  • Fellows of the American Mathematical Society
  • Fellows of the Association for Women in Mathematics
  • Jewish American scientists

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