finite number of possibilities
51Constructive proof — In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object with certain properties by creating or providing a method for creating such an object. This is in contrast to a nonconstructive… …
52Particular point topology — In mathematics, the particular point topology (or included point topology) is a topology where sets are considered open if they are empty or contain a particular, arbitrarily chosen, point of the topological space. Formally, let X be any set and… …
53Variable-length code — In coding theory a variable length code is a code which maps source symbols to a variable number of bits. Variable length codes can allow sources to be compressed and decompressed with zero error (lossless data compression) and still be read back …
54Randomized algorithm — Part of a series on Probabilistic data structures Bloom filter · Skip list …
55Infinite-dimensional holomorphy — In mathematics, infinite dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic function to functions defined and taking values in complex Banach spaces (or Fréchet spaces… …
56Crystallographic restriction theorem — The crystallographic restriction theorem in its basic form was based on the observation that the rotational symmetries of a crystal are usually limited to 2 fold, 3 fold, 4 fold, and 6 fold. However, quasicrystals can occur with other symmetries …
57Grigori Perelman — Infobox Scientist image width = 150px name = Grigori Yakovlevich Perelman caption = birth date = birth date and age|1966|6|13 birth place = Leningrad, USSR death date = death place = field = Mathematician known for = Riemannian geometry and… …
58Verma module — Verma modules, named after Daya Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. The definition of a Verma module looks complicated, but Verma modules are very natural objects, with useful properties …
59animal behaviour — Introduction any activity of an intact organism. A living animal behaves constantly in order to survive, and all animals must solve the same basic problems. They must, for instance, periodically replace their energy source (consume… …
60Fake projective plane — For Freedman s example of a non smoothable manifold with the same homotopy type as the complex projective plane, see 4 manifold. In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have… …
