Error Analysis of Deep Sequencing of Phage Libraries: Peptides Censored in Sequencing

Table 1

Symbols and definitions used in the theoretical description section.

Symbols	Meaning
A, a, f, m, n, k	Unless specified otherwise, normal font designates scalars
𝐴,𝑎,𝑁,𝑃,^1n,^13n	Italic font designates vectors. Different vectors can be distinguished by the left-superscript notation
A, a, Abc, Pan, Sa	Bold font designates operators or matrices (here all operators are matrices)
^𝟏𝐀 , ^𝐟𝐒𝐚 , ^𝟎.𝟗𝐒𝐚 , ^𝟎.𝟓𝐒𝐚	Operators can be distinguished by the left-superscript notation. For sampling operator Sa, this notation specifies the sampling fraction of the Sa operator
A1, a2, A𝑖, a𝑗	Normal font with right subscript designates scalar values of the vector
A11, A21, Aij, Aii	Normal font with two right subscripts designates scalar values of the 2D matrix
A1…A5	Description of the scalar elements in the vector
Aij…Aii	Description of the scalar elements in the matrix
x ∈ [A B]	Scalar x belongs to the inclusive scalar interval [A B]; that is, A ≤ x ≤ B
𝑥∈[𝐴𝐵]	Vector x belongs to the “vector interval” [𝐴𝐵]; that is, for every element Ai ≤ xi ≤ Bi
{ABC…X}	Set where A, B, C,…, X are the unique elements of the set
{A(a) B(b)…X(x)}	Multiset (2-tuple) where A, B,…, X are the unique elements and a, b, x are the scalars describing the copy numbers of the A, B, X elements
IN	Unity matrix of the Nth order; that is, N × N matrix Aij, Aij = δ ij (Kronecker delta)