The Initial Conditions (The Abstract)
As the system enters late autumn, the interaction between Alexandra Fainter and William Bennett has transitioned from "Initial Contact" to "High-Frequency Resonance." We find ourselves in the faculty parking lot—a liminal space where the laws of professional decorum are frequently bent by the gravity of a well-timed pun.
The Analytical Body
Axiom 1: On Empirical Observation and Crumb Trails
However, William's proposal to factor him into the lesson plan represents a deliberate "Tangent Operation." When they discuss the "radius of a muffin" relative to the "diameter of William's stomach," I observe Alex's Rigidity Constant beginning to fail. She isn't just surviving the chaos; she is actively proposing "Peer Review" for a second batch of muffins.
Axiom 2: Quadratic Functions and Blueprint Revisions
Her response—threatening to reorganize a supply closet into coordinate planes with a protractor—indicates a complete integration of his "chaos" into her "order."
Theorem: Solving for Dinner (With Conditions)
The dinner proposal has moved from "Possible" to "Certain." However, Alex has introduced a Reckless Constraint:
In her final analysis, she describes William as the pi to her circumference: irrational, inescapable, and infinitely present.
The High-Fidelity Visual Artifact
The Evidence (The Climax)
Having observed this system for another 336-hour cycle, the data points collected in the faculty lounge confirm a Steady State of Harmony. Even amidst the "high-entropy" noise of bells and student chatter, the Quantum Entanglement between these two remains intact.
The simple act of holding hands in the parking lot is no longer a calculation; it is a Result. The familiar anxiety of Alex's "overactive brain" has been effectively neutralized by the "William Constant."