Definition of Hyperintegers. Meaning of Hyperintegers. Synonyms of Hyperintegers

- } of all hyperintegers is an internal subset of the hyperreal line ∗ R {\displaystyle ^{*}\mathbb {R} } . The set of all finite hyperintegers (i.e. Z {\displaystyle...
- portal Canonical factorization of a positive integer Complex integer Hyperinteger Integer complexity Integer lattice Integer part Integer sequence Integer-valued...
- also has sin ⁡ ( π H ) = 0 {\displaystyle \sin({\pi H})=0} for all hyperintegers H {\displaystyle H} . The transfer principle for ultrapowers is a consequence...
- {\displaystyle F} of finite hyperrationals (i.e. ratio of a pair of hyperintegers), see construction of the real numbers. The quotients R [ X ] / ( X...
- an ultrafilter. Here a hyperrational is by definition a ratio of two hyperintegers. Consider the ring B {\displaystyle B} of all limited (i.e. finite)...
- numbers Individual concepts Standard part function Transfer principle Hyperinteger Increment theorem Monad Internal set Levi-Civita field Hyperfinite set...
- st(xn)=L (here the extension principle is used to define xn for every hyperinteger n). This definition has no quantifier alternations. The standard (ε,...
- infinitesimal if and only if it is infinitely close to 0. For example, if n is a hyperinteger, i.e. an element of *N − N, then 1/n is an infinitesimal. A hyperreal...
- numbers Individual concepts Standard part function Transfer principle Hyperinteger Increment theorem Monad Internal set Levi-Civita field Hyperfinite set...
- numbers Individual concepts Standard part function Transfer principle Hyperinteger Increment theorem Monad Internal set Levi-Civita field Hyperfinite set...