There are uncountably many infinite strings of digits (even more strongly, there are uncountably many infinite strings of digits with any given limiting frequency of '0's and '1's).
This investigation allows improving the prediction of limiting frequencies for HF radio propagation.
Under this conservative test, we find little support for the conclusion that selection acts to limit frequencies of the youngest TEs in our sample (i.e., those with zero substitutions).
The law of large numbers in a general form tells us that a measure one set of sequences of independent trials of such a process will have limit frequencies of outcomes equal to (p, 1 − p).
Although ABR-derived thresholds are sometimes elevated in comparison with behavioral tests of primates, especially for frequencies ≤ 2.0 kHz, the two methods produce audiograms with similar shapes, high-frequency limits, frequencies of best sensitivity, and upper-frequencies of the 10-dB bandwidth.
It connects them with limiting relative frequencies, of course, but again too tightly: for even in infinite sequences, the two can come apart.
f The upper limit frequency of the emissions.
In Step 6, the upper limit frequency of the emissions was selected (Fig. 7f).
They include the property of large numbers, the claim that the limit frequency of a digit in a random sequence should not be biased to any particular digit.
If the limit frequency of a digit is 1, say in the sequence 111…, it is true that every admissible place selection determines a subsequence with the same limit frequency.
The difficulty of transferring complex knowledge or maintaining momentum on a project is harder when geographic distance limits frequency of access.
