Optionalvalue: InputAlgebra<Factor | PolyFactor | Polynom>Per-factor sign rows (only populated when built from a PolyFactor).
Sign arrays are aligned to the global root list: a 't' value at an
odd (root) position means the factor has no root there — that global
root belongs to another factor.
Sorted roots (zeros, poles, holes).
Sign array of length 2n+1 (even = interval sign, odd = sign at root).
LaTeX output using tkz-tab. Wrap in a tikzpicture environment.
Options:
f(x))lgt and espcl (default: 2, 1.2)Show individual factor sign rows in the tkz-tab output (only for PolyFactor).
Full duplicate of this instance, including display state (selected form
and options set via as*** / with***). Distinct from copy.
Copy the mathematical state of another instance into this (display
state is NOT transferred — the receiver keeps its own formatting). Entry
point used when constructing/parsing from a same-type input. Distinct from
clone. Classes without a real implementation throw
NotImplementedError.
Definition domain: excludes poles ('d'), holes ('h'), and unresolved
slots (''). Includes zeros ('z') and sign-changing roots at both
interval and root positions — so the zero polynomial, whose sole interval
slot carries 'z', correctly yields ℝ.
Intervals where f(x) < 0.
Intervals where f(x) ≥ 0 (closed at zeros).
Intervals where f(x) ≤ 0.
Replace the table with the one of a polyfactor, a factor, a polynom, or anything a factor accepts.
Points where f is undefined (vertical asymptotes).
Intervals where f(x) > 0 (open boundaries at zeros).
Override the label of the product row (default: f(x)).
Override tkz-tab layout options.
Width of the label column (default: 2).
Column spacing (default: 1.2).
Roots where f(x) = 0.
StaticfromBuild the table of a factor. A negative power makes its roots poles, and an even power removes the negative signs.
StaticfromBuild the table of a product of factors. The table keeps one row per factor, shown with withFactors.
Staticfrom
The table of signs of a polynom, a factor or a factored expression: its roots, the sign of the value between them, and the
tkz-tabLaTeX code to draw it. It also gives the intervals where the expression is positive or negative, its zeros and its poles. The signs are+,-,z(zero),d(pole),h(hatched interval, where the expression is not defined), andt(no root of the factor at that place).Example