A flow is the group action of this set on another. A series of algebras over this field are named for Cayley and Dickson. Subsets of this set named for Vitali lack a Lebesgue (luh-BEG) measure. Any order field with the supremum property is isomorphic to this set. A Euclidian space generated by taking the Cartesian (car-TEASE-ee-un) product of this set with itself has the property that each bounded sequence has a convergence subsequence according to the (*) Bolzano-Weierstrass (bowl-ZAHN-oh VIE-er-strahs) Theorem. One method of constructing this set involves selecting a dense subset of them and partitioning it using a Dedekind (DEY-di-kind) cut. A statement that is in
A flow is the group action of this set on another. A series of algebras over this field are named for Cayley and Dickson. Subsets of this set named for Vitali lack a Lebesgue (luh-BEG) measure. Any order field with the supremum property is isomorphic to this set. A Euclidian space generated by taking the Cartesian (car-TEASE-ee-un) product of this set with itself has the property that each bounded sequence has a convergence subsequence according to the (*) Bolzano-Weierstrass (bowl-ZAHN-oh VIE-er-strahs) Theorem. One method of constructing this set involves selecting a dense subset of them and partitioning it using a Dedekind (DEY-di-kind) cut. A statement that is independent of Z-F-C posits that there is no set whose cardinality is between this one and the integers; that statement is the continuum hypothesis. These numbers can be represented using infinite decimal expansions. For 10 points, name this set of numbers that are indicated by a blackboard R and which have no imaginary part.
A flow is the group action of this set on another. A series of algebras over this field are named for Cayley and Dickson.
real numbers [or the reals]