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Herbert Robbins information


Herbert Ellis Robbins
Herbert Robbins visiting Purdue in 1966
Born(1915-01-12)January 12, 1915
New Castle, Pennsylvania, US
DiedFebruary 12, 2001(2001-02-12) (aged 86)
Princeton, New Jersey, US
Alma materHarvard University
Scientific career
Institutions
  • University of North Carolina
  • Columbia University
  • Rutgers University
ThesisOn the Classification of the Maps of a 2-Complex into a Space (1938)
Doctoral advisorHassler Whitney
Doctoral students
  • Raghu Raj Bahadur
  • Cyrus Derman
  • David Siegmund
  • Herbert Wilf
  • Gopinath Kallianpur

Herbert Ellis Robbins (January 12, 1915 – February 12, 2001) was an American mathematician and statistician. He did research in topology, measure theory, statistics, and a variety of other fields.

He was the co-author, with Richard Courant, of What is Mathematics?, a popularization that is still (as of 2012) in print. The Robbins lemma, used in empirical Bayes methods, is named after him. Robbins algebras are named after him because of a conjecture (since proved) that he posed concerning Boolean algebras. The Robbins theorem, in graph theory, is also named after him, as is the Whitney–Robbins synthesis, a tool he introduced to prove this theorem. The well-known unsolved problem of minimizing in sequential selection the expected rank of the selected item under full information, sometimes referred to as the fourth secretary problem, also bears his name: Robbins' problem (of optimal stopping).

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Herbert Robbins

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Herbert Ellis Robbins (January 12, 1915 – February 12, 2001) was an American mathematician and statistician. He did research in topology, measure theory...

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Equational prover

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longstanding problem posed by Herbert Robbins, namely, whether all Robbins algebras are Boolean algebras. EQP project. Robbins Algebras Are Boolean. Argonne...

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Richard Courant

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general public for the book What is Mathematics?, co-written with Herbert Robbins. His research focused on the areas of real analysis, mathematical physics...

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Stochastic gradient descent

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stochastic gradient descent and batched gradient descent. In 1951, Herbert Robbins and Sutton Monro introduced the earliest stochastic approximation methods...

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Robbins algebra

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thereafter, Herbert Robbins posed the Robbins conjecture, namely that the Huntington equation could be replaced with what came to be called the Robbins equation...

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Stochastic approximation

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the Robbins–Monro and Kiefer–Wolfowitz algorithms introduced respectively in 1951 and 1952. The Robbins–Monro algorithm, introduced in 1951 by Herbert Robbins...

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David Siegmund

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statistics from Columbia University in 1966. His Ph.D. advisor was Herbert Robbins. After being an assistant and then a full professor at Columbia, he...

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Jerome Robbins

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interviews with Robbins and his colleagues, premiered on PBS in 2009 and won both an Emmy and a Peabody Award the same year. Robbins was born Jerome Wilson...

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Contour line

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map Marching squares Planform Tensor field TERCOM Courant, Richard, Herbert Robbins, and Ian Stewart. What Is Mathematics?: An Elementary Approach to Ideas...

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Robbins lemma

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In statistics, the Robbins lemma, named after Herbert Robbins, states that if X is a random variable having a Poisson distribution with parameter λ, and...

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Angle trisection

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Archived from the original (PDF) on November 5, 2014. Courant, Richard, Herbert Robbins, Ian Stewart, What is mathematics?: an elementary approach to ideas...

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Design of experiments

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generalized to the multi-armed bandit, on which early work was done by Herbert Robbins in 1952. A methodology for designing experiments was proposed by Ronald...

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Algebra of sets

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ISBN 0-486-63829-4. "The Algebra of Sets", pp 16—23. Courant, Richard, Herbert Robbins, Ian Stewart, What is mathematics?: An Elementary Approach to Ideas...

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Michael Katehakis

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Statistics at SUNY Stony Brook. There he taught and he worked with Herbert Robbins on AFOSR sponsored research and as a consultant at the Brookhaven National...

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Jordan curve theorem

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What is mathematics? : an elementary approach to ideas and methods. Herbert Robbins ([4th ed.] ed.). United Kingdom: Oxford University Press. p. 267....

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Minimal axioms for Boolean algebra

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= x ∨ ( y ∨ z ) {\displaystyle (x\lor y)\lor z=x\lor (y\lor z)} . Herbert Robbins conjectured that Huntington's axiom could be replaced by ¬ ( ¬ ( x...

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Bernoulli quadrisection problem

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of a triangle is a special case of a theorem of Richard Courant and Herbert Robbins that any plane area can be subdivided into four equal parts by two...

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List of American mathematicians

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Remmel (1948–2017) Joseph Ritt (1893–1951) Fred S. Roberts (b. 1943) Herbert Robbins (1915–2001) Julia Robinson (1919–1985), contributor to Hilbert's tenth...

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Royal Robbins

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success as a climber, Robbins founded an eponymous outdoor apparel company with his wife Liz Robbins. Royal Robbins, LLC Royal Robbins LLC is a San Francisco...

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