Doron Zeilberger idézet

Doron Zeilberger izraeli származású amerikai matematikus.

✵ 2. július 1950
Doron Zeilberger fénykép
Doron Zeilberger: 11   idézetek 0   Kedvelés

Doron Zeilberger: Idézetek angolul

“Math is perfect (in principle), but mathematicians are not (because they are humans)”

Computerized Deconstruction. Appeared in Adv. Appl. Math. v. 31 (2003), 532-543.
Kontextus: Math is perfect (in principle), but mathematicians are not (because they are humans), hence the mathematics that (human) mathematicians do is influenced by the weltanschauung of the people around them.

“Algorithms existed for at least five thousand years, but people did not know that they were algorithmizing.”

An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding C.S. Calude, ed., "Randomness & Complexity, from Leibniz to Chaitin", World Scientific, Singapore, (October 2007)
Kontextus: Algorithms existed for at least five thousand years, but people did not know that they were algorithmizing. Then came Turing (and Post and Church and Markov and others) and formalized the notion.

“Conventional wisdom, fooled by our misleading "physical intuition", is that the real world is continuous, and that discrete models are necessary evils for approximating the "real" world, due to the innate discreteness of the digital computer.”

"Real" Analysis is a Degenerate Case of Discrete Analysis. Appeared in the book "New Progress in Difference Equations"(Proc. ICDEA 2001), edited by Bernd Aulbach, Saber Elaydi, and Gerry Ladas, and publisher by Taylor & Francis, London, 2004.

“Regardless of whether or not God exists, God has no place in mathematics, at least in my book.”

An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding C.S. Calude, ed., "Randomness & Complexity, from Leibniz to Chaitin", World Scientific, Singapore, (October 2007)

“Programming is much much harder than doing mathematics.”

The Narrow-Minded and Ignorant Referee's Report [and Zeilberger's Response] of Zeilberger's Paper "Automaric CounTilings" that was rejected by Helene Barcelo and the Members of the Advisory Board [that includes(!) Enumeration Expert Mireille Bousquet-Melou] of the Journal of Combinatorial Theory-Series A.

“Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful.”

The Narrow-Minded and Ignorant Referee's Report [and Zeilberger's Response] of Zeilberger's Paper "Automaric CounTilings" that was rejected by Helene Barcelo and the Members of the Advisory Board [that includes(!) Enumeration Expert Mireille Bousquet-Melou] of the Journal of Combinatorial Theory-Series A. http://www.math.rutgers.edu/~zeilberg/RefTipesh.html

“The best way to learn a topic is by teaching it. Similarly the best way to understand a new proof is by writing an expository article about it.”

[Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials, Amer. Math. Monthly, 96, 1989, 592 of 590–602, http://www.maa.org/programs/maa-awards/writing-awards/kathy-oharas-constructive-proof-of-the-unimodality-of-the-gaussian-polynomials]