Wyner's mathematical statements, or algorithms, analyzed how to find the common sections in thousands of bits of data.
22.
The continuum hypothesis and the axiom of choice were among the first mathematical statements shown to be independent of ZF set theory.
23.
In both senses, an axiom is any mathematical statement that serves as a starting point from which other statements are logically derived.
24.
This problem asked for a procedure that would decide, given a formalized mathematical statement, whether the statement is true or false.
25.
This is not a meaningful mathematical statement, but a metaphor expressing an analogy with algebraic " K "-theory.
26.
Gauss's law for magnetism, one of Maxwell's equations, is the mathematical statement that magnetic monopoles do not exist.
27.
Let T be a Turing machine which " represents " me in the sense that T can prove just the mathematical statements I prove.
28.
This is necessary so that mathematical statements can be made about the sample and statistics computed from it, such as the sample mean and covariance.
29.
The " Entscheidungsproblem " asked for a procedure that, given any formal mathematical statement, would algorithmically determine whether the statement is true.
30.
Logically, the above cannot be false and hence G�del had discovered the existence of mathematical statements that were true but were incapable of being proved.
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