Ordering of Transformed Recorded Electroencephalography (EEG) Signals by a Novel Precede Operator

Table 7

The similarity between elementary EEG signals with the prime numbers.

	EEG signals	Positive integers
Divisibility	Definition 2 (see [30]): if and are EEG signals, we say that divides , written as if there exist EEG signals such that , where is an invertible EEG signal	Definition 3 (see [31]): if and are integers, we say that divides if there is an integer such that
Unique factorization theorem	Theorem 1 [30]	Fundamental theorem of arithmetic [31]
Building blocks	Elementary EEG signals	Prime numbers
Important properties	(1) Jordan–Chevalley decomposition of elementary EEG signals (see Theorem 10 and Theorem 11 in [74]); (2) Theorem 4 (totally ordered)	(1) Twin-prime conjecture [31]; (2) Well-ordered