# Cantor

the religious official of a synagogue who conducts the liturgical portion of a service and sings or chants the prayers and parts of prayers designed to be performed as solos.

an official whose duty is to lead the singing in a cathedral or in a collegiate or parish church; a precentor.

Eddie (Edward Israel Iskovitz) 1892–1964, U.S. singer and entertainer.

Georg

[gey-awrk] /geɪˈɔrk/ (Show IPA), 1845–1918, German mathematician, born in Russia.

Contemporary *Examples*

The Dems Aren’t Toast Kirsten Powers September 22, 2010

What Science Reveals About Pedophilia Casey Schwartz December 6, 2011

Paul Ryan Breaks Rank John Batchelor September 25, 2010

John Boehner’s GOP Headaches Benjamin Sarlin, Samuel P. Jacobs January 5, 2011

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Historical *Examples*

Cousin Henry Anthony Trollope

Cousin Henry Anthony Trollope

Cousin Henry Anthony Trollope

Cousin Henry Anthony Trollope

Simon Eichelkatz; The Patriarch Ulrich Frank

**noun**

(Judaism) Also called chazan. a man employed to lead synagogue services, esp to traditional modes and melodies

(Christianity) the leader of the singing in a church choir

n.

1. A mathematician.

Cantor devised the diagonal proof of the uncountability of the real numbers:

Given a function, f, from the natural numbers to the real numbers, consider the real number r whose binary expansion is given as follows: for each natural number i, r’s i-th digit is the complement of the i-th digit of f(i).

Thus, since r and f(i) differ in their i-th digits, r differs from any value taken by f. Therefore, f is not surjective (there are values of its result type which it cannot return).

Consequently, no function from the natural numbers to the reals is surjective. A further theorem dependent on the axiom of choice turns this result into the statement that the reals are uncountable.

This is just a special case of a diagonal proof that a function from a set to its power set cannot be surjective:

Let f be a function from a set S to its power set, P(S) and let U = x in S: x not in f(x) . Now, observe that any x in U is not in f(x), so U != f(x); and any x not in U is in f(x), so U != f(x): whence U is not in f(x) : x in S . But U is in P(S). Therefore, no function from a set to its power-set can be surjective.

2. An object-oriented language with fine-grained concurrency.

[Athas, Caltech 1987. “Multicomputers: Message Passing Concurrent Computers”, W. Athas et al, Computer 21(8):9-24 (Aug 1988)].

(1997-03-14)

Tagged: c

Read Also:

- Cantor-set
the set obtained from the closed interval from 0 to 1 by removing the middle third from the interval, then the middle third from each of the two remaining sets, and continuing the process indefinitely.

- Cantoris
of or relating to the gospel or liturgical north side of a church (opposed to decani). Historical Examples The Nebuly Coat John Meade Falkner Bell’s Cathedrals: The Cathedral Church of Ely W. D. Sweeting adjective (in antiphonal music) to be sung by the cantorial side of a choir Compare decani

- Cantuar-
abbreviation Cantuariensis

- Cantus
cantus firmus. Historical Examples A Treatise on Simple Counterpoint in Forty Lessons Friedrich J. Lehmann A Treatise on Simple Counterpoint in Forty Lessons Friedrich J. Lehmann A Treatise on Simple Counterpoint in Forty Lessons Friedrich J. Lehmann Bach Charles Francis Abdy Williams Life Of Mozart, Vol. 1 (of 3) Otto Jahn A Treatise on Simple […]