number. The first example of such a sequence was constructed by Ernst Specker (1949). The existence of Specker sequences has consequences for computable analysis...

Alexander Specker (born 1918), Swiss sports shooter Specker See, lake in Mecklenburg-Vorpommern, Germany Specker sequence, bounded sequence Baer–Specker group...

computable sequence of computable real numbers need not be a computable real number. A sequence with this property is known as a Specker sequence, as the...

Erdős. Specker received his Ph.D. in 1949 from ETH Zurich, where he remained throughout his professional career. Specker sequence Baer–Specker group Ernst...

every arithmetical number is computable. For example, the limit of a Specker sequence is an arithmetical number that is not computable. The definitions of...

machines cannot solve their own halting problem. Computation in the limit Specker sequence Ross–Littlewood paradox Hamkins, Joel (2002-12-03). "Infinite time...

converge to a correct solution of the halting problem by evaluating a Specker sequence. Many hypercomputation proposals amount to alternative ways to read...

(since it is a non-computable number). The supremum limit of the Specker sequences (since they are non-computable numbers). The so-called Fredholm constants...

{\displaystyle g(x)} are both undefined, or they are both defined and equal. Specker sequence A. Mostowski, "Examples of sets definable by means of two and three...

mathematical analysis — these spaces become natural under the analogy. Specker sequence See Simpson, Alex K. (1998), Brim, Luboš; Gruska, Jozef; Zlatuška,...