Sentence examples for choice sequences from inspiring English sources

The latter are called (free) choice sequences.

The main use of choice sequences is the reconstruction of analysis; points on the continuum (real numbers) are identified with choice sequences satisfying certain conditions.

Brouwer, in contrast, considers real functions as correlating choice sequences with choice sequences, and the continuity of these is by no means obvious.

Only after Brouwer's introduction of choice sequences did intuitionism obtain its particular flavor and became incomparable with classical mathematics.

Without loss of generality we may and shall assume that the entries in choice sequences are natural numbers.

In this sense, one can construct real numbers (i.e., converging choice sequences) that do not yet have a decimal expansion.

A choice sequence is an infinite sequence of numbers (or finite objects) created by the free will.

Weyl defined real functions as mappings correlating each interval in the choice sequence determining the argument with an interval in the choice sequence determining the value "interval by interval" as it were, the idea being that approximations to the input of the function should lead effectively to corresponding approximations to the input.

The recovery of the continuum rests on the notion of choice sequence stipulated in the second act, i.e. on the existence of infinite sequences generated by free choice, which therefore are not fixed in advance.

Results confirmed a PPTg lesion deficit: lesioned rats made significantly more errors in both training and test phases, and made errors significantly earlier in their choice sequence in the test phase.

The choice sequence that would optimize the rate of reward delivery was for the monkey to choose the persistent object in the pair on four consecutive trials, then the sporadic object on the following trial, and then to repeat this sequence of choices, resulting in two rewards for every five trials (a trials/reward ratio of 2.5).