Original portal visual design, edited for public reading. Diagrams are interpretations and learning analogies, not claims about how a real brain or the film’s fictional technology works.
f'(a) f''(a) f⁽ⁿ⁾(a)
f(x) = f(a) + ─── (x-a) + ─── (x-a)² + ... + ─── (x-a)ⁿ + Rₙ(x)
1! 2! n!
└────────────── Pₙ(x) (n차 polynomial) ──────────────┘ └ remainder ┘The original formula diagram is retained. The remainder is the difference from the approximation; it can be zero. Convergence depends on the function and the interval.
MODEL WHAT IT LEAVES OUT Pₙ(x) Rₙ(x) = f(x) − Pₙ(x) │ │ └── a useful description └── a reason to look again FILM INTERPRETATION A system’s expectations ────── A character’s unexpected choice
The original branching-diagram format connects two ideas. This is a metaphor, not a mathematical explanation of Neo.
VIEWER’S QUESTION │ ├── The world shown as everyday reality │ │ │ └── The simulated world within the story │ │ │ └── What the characters believe they can change │ └── What evidence would distinguish one interpretation from another?
The earlier portal imagined nested layers. Here the diagram remains a question about interpretation rather than a claim that another simulation is established.
OBSERVE → DESCRIBE → COMPARE → FIND A MISMATCH
↑ │
└──── REVISE / TEST ───────┘An unexpected result invites a closer look. Changing the description is useful only if it improves what we can explain or test.