cantor

4 definitions found

cantor - Collaborative International Dictionary of English v.0.48 :

  Cantor \Can"tor\, n. [L., a singer, fr. caner to sing.]
     A singer; esp. the leader of a church choir; a precentor.
     [1913 Webster]
  
           The cantor of the church intones the Te Deum. --Milman.
     [1913 Webster]

cantor - WordNet (r) 2.1 (2005) :

  cantor
      n 1: the musical director of a choir [syn: choirmaster,
           precentor, cantor]
      2: the official of a synagogue who conducts the liturgical part
         of the service and sings or chants the prayers intended to be
         performed as solos [syn: cantor, hazan]

cantor - Free On-line Dictionary of Computing (26 May 2007) :

  Cantor
  
     1. <person, mathematics> 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. <language> 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)
  

cantor - Moby Thesaurus II by Grady Ward, 1.0 :

  64 Moby Thesaurus words for "cantor":
     Heldentenor, Levite, Meistersinger, alto, aria singer, baal kore,
     baritenor, baritone, bass, basso, basso buffo, basso cantante,
     basso profundo, blues singer, canary, cantatrice, caroler, chanter,
     chantress, chief rabbi, choir chaplain, choirmaster,
     choral director, chorister, coloratura soprano, comic bass,
     contralto, countertenor, crooner, deep bass, diva,
     dramatic soprano, heroic tenor, high priest, hymner, improvisator,
     kohen, lead singer, lieder singer, melodist, mezzo-soprano,
     minister of music, opera singer, precentor, priest, prima donna,
     psalm singer, rabbi, rabbin, rock-and-roll singer, scribe, singer,
     singstress, songbird, songster, songstress, soprano, tenor,
     torch singer, vocalist, vocalizer, voice, warbler, yodeler