The non-terminal string denotes a sequence of characters.
The longest H-run (P-run) of a string denotes the run of H (P) which has the highest run-length among all the H-runs (P-runs) of the string.
string designator n. a designator for a string; that is, an object that denotes a string and that is one of: a character (denoting a singleton string that has the character as its only element), a symbol (denoting the string that is its name), or a string (denoting itself).
In the name format, x represents a string denoting the solution to be perturbed: i) a solution randomly chosen from the population (x = rand"); ii) the current best solution (x = "best"); or iii) a solution based on the candidate solution combined with a difference vector towards the current best individual (x = "rand-to-best"), i.e., x c + F·(x best - x c).
ALPS works by presenting subjects with a face image followed by a letter-string and instructing them to judge whether the letter-string denotes a valid, English word (Figure 1a).
The number string in the model name indicates the number of parameters optimized for the substitution rate matrix, and the remaining strings denote a rate matrix or a selective constraint matrix used.
In particular, a run in an HP string denotes the consecutive H's or P's.
Each curve is taken and converted into a corresponding string denoted as C' and P', respectively.
To process S we concatenate all sequences in S into a long string denoted S ¯ with unique separator symbols $1,...,$ r -1 between the r sequences.
For a fast determination of a sufficiently long linear fragment chain, the Depth-First Search DFSS) algorithm may be used [34]: Starting from the first fragment of the fSMILES string, the maximum-distant fragment (denoted A) is evaluated by a first DFS run.
Carnap and followers designed specific exchangeable prediction rules, mostly variants of the straight rule (Reichenbach 1938), \[ P(Q^{1}_{t+1} \mid S_{n/t}) = \frac{n + 1}{t + 2}, \] where $S_{n/t}$ denotes a string of length $t$ of which $n$ entries are 1's.
