GridCreationSettings -> {opt_1 -> val_1, opt_2 -> val_2, ...} is a global option that specifies settings for the Create Table/Matrix dialog.
If
(Built-in Mathematica Symbol) If[condition, t, f] gives t if condition evaluates to True, and f if it evaluates to False. If[condition, t, f, u] gives u if condition evaluates to neither True nor False.
Implies
(Built-in Mathematica Symbol) Implies[p, q] represents the logical implication p \[DoubleRightArrow] q.
KroneckerDelta[n_1, n_2, ...] gives the Kronecker delta \[Delta] Subscript[n, 1] Subscript[n, 2] ..., equal to 1 if all the n_i are equal, and 0 otherwise.
MapAll
(Built-in Mathematica Symbol) MapAll[f, expr] or f //@ expr applies f to every subexpression in expr.
Nand
(Built-in Mathematica Symbol) Nand[e_1, e_2, ...] is the logical NAND function. It evaluates its arguments in order, giving True immediately if any of them are False, and False if they are all True.
N
(Built-in Mathematica Symbol) N[expr] gives the numerical value of expr. N[expr, n] attempts to give a result with n-digit precision.
Nor
(Built-in Mathematica Symbol) Nor[e_1, e_2, ...] is the logical NOR function. It evaluates its arguments in order, giving False immediately if any of them are True, and True if they are all False.
Print
(Built-in Mathematica Symbol) Print[expr] prints expr as output.
Reals
(Built-in Mathematica Symbol) Reals represents the domain of real numbers, as in x \[Element] Reals.