cantor
51Cantor , Georg Ferdinand Ludwig Philipp — (1845–1918) German mathematician The son of a prosperous merchant of St. Petersburg, at that time the capital of Russia, Cantor was educated at the University of Berlin where he completed his PhD in 1868. In 1870 he joined the faculty of the… …
52Cantor's diagonal argument — An illustration of Cantor s diagonal argument for the existence of uncountable sets. The sequence at the bottom cannot occur anywhere in the list of sequences above. Cantor s diagonal argument, also called the diagonalisation argument, the… …
53Cantor's first uncountability proof — Georg Cantor s first uncountability proof demonstrates that the set of all real numbers is uncountable. Cantor formulated the proof in December 1873 and published it in 1874 in Crelle s Journal [cite… …
54Cantor's theorem — Note: in order to fully understand this article you may want to refer to the set theory portion of the table of mathematical symbols. In elementary set theory, Cantor s theorem states that, for any set A , the set of all subsets of A (the power… …
55Cantor cube — In mathematics, a Cantor cube is a topological group of the form {0, 1} A for some index set A . Its algebraic and topological structures are the group direct product and product topology over the cyclic group of order 2 (which is itself given… …
56Cantor–Zassenhaus algorithm — In mathematics, particularly computational algebra, the Cantor–Zassenhaus algorithm is a well known method for factorising polynomials over finite fields (also called Galois fields).The algorithm consists mainly of exponentiation and polynomial… …
57Cantor (church) — A cantor or chanter (Gk. ψάλτης) is the chief singer (and ofttimes instructor) employed in a church with responsibilities for the ecclesiastical choir; also called the precentor . The cantor s duties and qualifications have varied considerably… …
58Cantor-Menge — Unter der Cantor Menge, auch cantorsches Diskontinuum, Cantor Staub oder Wischmenge genannt, versteht man in der Mathematik eine gewisse Teilmenge der Menge der reellen Zahlen mit besonderen topologischen, maßtheoretischen, geometrischen und… …
59Cantor distribution — Probability distribution name =Cantor type =mass pdf cdf parameters =none support =Cantor set pdf =none cdf =Cantor function mean =1/2 median =anywhere in [1/3, 2/3] mode =n/a variance =1/8 skewness =0 kurtosis = 8/5 entropy = mgf =e^{t/2} prod… …
60Cantor's paradox — In set theory, Cantor s paradox is the theorem that there is no greatest cardinal number, so that the collection of infinite sizes is itself infinite. Furthermore, it follows from this fact that this collection is not a set but a proper class; in …
