08

Polarity Evaluation

—derived from four signed components
componentvaluesign
no frame

POSITIVE when every live component is ≥ 0 with at least one positive; NEGATIVE when every live component is ≤ 0 with at least one negative; ZERO when all are zero; MIXED when signs disagree — which the independent P− branch produces whenever n < I.

09

Limit Analysis

—
expression preset
evaluationleft + right
left a−h
—
right a+h
—
L
—
convergence monitoring
hG(a−h)G(a+h)gap
no evaluation yet

A limit is returned only when both one-sided evaluations agree within tolerance. Undefined or insufficiently specified expressions return UNRESOLVED.