Lenore Blum
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Lenore Blum
Lenore Carol Blum (née Epstein, born December 18, 1942) is an American computer scientist and mathematician who has made pioneering 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 Massachusett ...
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Blum Blum Shub
Blum Blum Shub (B.B.S.) is a pseudorandom number generator proposed in 1986 by Lenore Blum, Manuel Blum and Michael Shub that is derived from Michael O. Rabin's one-way function. __TOC__ Blum Blum Shub takes the form :x_ = x_n^2 \bmod M, where ''M'' = ''pq'' is the product of two large primes ''p'' and ''q''. At each step of the algorithm, some output is derived from ''x''''n''+1; the output is commonly either the bit parity of ''x''''n''+1 or one or more of the least significant bits of ''x''''n''+1''. The seed ''x''0 should be an integer that is co-prime to ''M'' (i.e. ''p'' and ''q'' are not factors of ''x''0) and not 1 or 0. The two primes, ''p'' and ''q'', should both be congruent to 3 (mod 4) (this guarantees that each quadratic residue has one square root which is also a quadratic residue), and should be safe primes with a small gcd((''p-3'')''/2'', (''q-3'')''/2'') (this makes the cycle length large). An interesting characteristic of the Blum Blum Shub generator is th ...
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Venezuela
Venezuela (; ), officially the Bolivarian Republic of Venezuela ( es, link=no, República Bolivariana de Venezuela), is a country on the northern coast of South America, consisting of a continental landmass and many islands and islets in the Caribbean Sea. It has a territorial extension of , and its population was estimated at 29 million in 2022. The capital and largest urban agglomeration is the city of Caracas. The continental territory is bordered on the north by the Caribbean Sea and the Atlantic Ocean, on the west by Colombia, Brazil on the south, Trinidad and Tobago to the north-east and on the east by Guyana. The Venezuelan government maintains a claim against Guyana to Guayana Esequiba. Venezuela is a federal presidential republic consisting of 23 states, the Capital District and federal dependencies covering Venezuela's offshore islands. Venezuela is among the most urbanized countries in Latin America; the vast majority of Venezuelans live in the cities of the n ...
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CUNY Graduate Center
The Graduate School and University Center of the City University of New York (CUNY Graduate Center) is a public research institution and post-graduate university in New York City. Serving as the principal doctorate-granting institution of the City University of New York (CUNY) system, The CUNY Graduate Center is classified among " R1: Doctoral Universities – Very High Research Activity". The school is situated in the landmark B. Altman and Company Building at 365 Fifth Avenue in Midtown Manhattan, opposite the Empire State Building. The CUNY Graduate Center has 4,600 students, 31 doctoral programs, 14 master's programs, and 30 research centers and institutes. A core faculty of approximately 140 is supplemented by over 1,800 additional faculty members drawn from throughout CUNY's eleven senior colleges and New York City's cultural and scientific institutions. CUNY Graduate Center faculty include recipients of the Nobel Prize, the Abel Prize, Pulitzer Prize, the National Humani ...
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Michael Shub
Michael Ira Shub (born August 17, 1943) is an American mathematician who has done research into dynamical systems and the complexity of real number algorithms. Biography Shub obtained his Ph.D. degree at the University of California, Berkeley with a thesis entitled '' Endomorphisms of Compact Differentiable Manifolds'' on 1967. His advisor was Stephen Smale. From 1967 to 1985 he worked at Brandeis University, the University of California, Santa Cruz and the Queens College at the City University of New York. From 1985 to 2004 he joined IBM's Thomas J. Watson Research Center. From 2004 to 2010 he worked at the University of Toronto. After 2010 he is a researcher at the University of Buenos Aires and at the City University of New York. Shub was the Chair of the Society for the Foundations of Computational Mathematics from 1995 to 1997. In 2012, a conference, ''From Dynamics to Complexity'', was organised at the Fields Institute in Toronto celebrating his work. In 2015 he w ...
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National Science Foundation
The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health. With an annual budget of about $8.3 billion (fiscal year 2020), the NSF funds approximately 25% of all federally supported basic research conducted by the United States' colleges and universities. In some fields, such as mathematics, computer science, economics, and the social sciences, the NSF is the major source of federal backing. The NSF's director and deputy director are appointed by the President of the United States and confirmed by the United States Senate, whereas the 24 president-appointed members of the National Science Board (NSB) do not require Senate confirmation. The director and deputy director are responsible for administration, planning, budgeting and day-to-day operations of the foundation, while t ...
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Endowed Professorship
A financial endowment is a legal structure for managing, and in many cases indefinitely perpetuating, a pool of financial, real estate, or other investments for a specific purpose according to the will of its founders and donors. Endowments are often structured so that the inflation-adjusted principal or "corpus" value is kept intact, while a portion of the fund can be (and in some cases must be) spent each year, utilizing a prudent spending policy. Endowments are often governed and managed either as a nonprofit corporation, a charitable foundation, or a private foundation that, while serving a good cause, might not qualify as a public charity. In some jurisdictions, it is common for endowed funds to be established as a trust independent of the organizations and the causes the endowment is meant to serve. Institutions that commonly manage endowments include academic institutions (e.g., colleges, universities, and private schools); cultural institutions (e.g., museums, libraries, ...
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Women's Colleges In The United States
Women's colleges in the United States are private single-sex U.S. institutions of higher education that only admit female students. They are often liberal arts colleges. There were approximately 28 active women's colleges in the United States in 2022, down from a peak of 281 such colleges in the 1960s. History Origins and types :''See also'': '' Timeline of historically black women's colleges'' Education for girls and women was originally provided within the family, by locals dame schools and public elementary schools, and at female seminaries found in every colony, but limited to young ladies from families with the means to pay tuition and, arguably, still more limited by the focus on providing ladylike accomplishments rather than academic training. These seminaries or academies were usually small and often ephemeral, usually established founded by a single woman or small group of women, they often failed to outlive their founders. In evaluating the many claims of various ...
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Mills College
Mills College at Northeastern University is a private college in Oakland, California and part of Northeastern University's global university system. Mills College was founded as the Young Ladies Seminary in 1852 in Benicia, California; it was relocated to Oakland in 1871 and became the first women's college west of the Rockies. In 2022, it merged with Northeastern University following several years of severe financial difficulties. History Mills College was initially founded as the Young Ladies Seminary in the city of Benicia in 1852 under the leadership of Mary Atkins, a graduate of Oberlin College. In 1865, Susan Tolman Mills, a graduate of Mount Holyoke College (then Mount Holyoke Female Seminary), and her husband, Cyrus Mills, bought the Young Ladies Seminary renaming it Mills Seminary. In 1871, the school was moved to its current location in Oakland, California. The school was incorporated in 1877 and was officially renamed Mills College in 1885. In 1890, after se ...
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Association For Women In Mathematics
The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment of women and girls in the mathematical sciences. The AWM was founded in 1971 and incorporated in the state of Massachusetts. AWM has approximately 5200 members, including over 250 institutional members, such as colleges, universities, institutes, and mathematical societies. It offers numerous programs and workshops to mentor women and girls in the mathematical sciences. Much of AWM's work is supported through federal grants. History The Association was founded in 1971 as the Association of Women Mathematicians, but the name was changed almost immediately. As reported in "A Brief History of the Association for Women in Mathematics: The Presidents' Perspectives", by Lenore Blum: Mary Gray, an early organizer and first president, placed ...
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Julia Robinson
Julia Hall Bowman Robinson (December 8, 1919July 30, 1985) was an American mathematician noted for her contributions to the fields of computability theory and computational complexity theory—most notably in decision problems. Her work on Hilbert's tenth problem (now known as Matiyasevich's theorem or the MRDP theorem) played a crucial role in its ultimate resolution. Robinson was a 1983 MacArthur Fellow. Early years Robinson was born in St. Louis, Missouri, the daughter of Ralph Bowers Bowman and Helen (Hall) Bowman. Her father owned a machine equipment company while her mother was a school teacher before marriage. Her mother died when Robinson was 2 years old and her father remarried. Her older sister was the mathematical popularizer and biographer Constance Reid and her younger sister is Billie Comstock. When she was 9 years old, she was diagnosed with scarlet fever which was shortly followed by rheumatic fever. This caused her to miss two years of school. When she was w ...
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University Of California At Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant university and the founding campus of the University of California system. Its fourteen colleges and schools offer over 350 degree programs and enroll some 31,800 undergraduate and 13,200 graduate students. Berkeley ranks among the world's top universities. A founding member of the Association of American Universities, Berkeley hosts many leading research institutes dedicated to science, engineering, and mathematics. The university founded and maintains close relationships with three national laboratories at Berkeley, Livermore and Los Alamos, and has played a prominent role in many scientific advances, from the Manhattan Project and the discovery of 16 chemical elements to breakthroughs in computer science and genomics. Berkeley is also k ...
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Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution. It is one of the highest-ranked universities in the world. The institution moved to Newark, New Jersey, Newark in 1747, and then to the current site nine years later. It officially became a university in 1896 and was subsequently renamed Princeton University. It is a member of the Ivy League. The university is governed by the Trustees of Princeton University and has an endowment of $37.7 billion, the largest List of colleges and universities in the United States by endowment, endowment per student in the United States. Princeton provides undergraduate education, undergraduate and graduate education, graduate in ...
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