D07-F01-A11 · LEVEL 2 GUIDED LAB · SYNTHETIC DATA

Tillson T3 Moving Average

How can six EMA stages and a volume factor trade smoothness against overshoot? Walk the evidence clock one stage at a time. This lab teaches the publication contract; it does not simulate returns, platform parity, or trade performance.

Selected expression

T3 = -v^3 E6 + (3v^2+3v^3)E5 + (-6v^2-3v-3v^3)E4 + (1+3v+3v^2+v^3)E3

Availability rule

An output at t may use only finite, basis-consistent observations available through t; chart alignment never moves the information clock backward.

calculated · step 1 of 7

Verified synthetic fixture

This lab is paired with datasets/implementation-fixtures.json: 96 deterministic, oldest-to-newest observations spanning oscillating, rising, and moderating regimes. It is teaching data—not market history or predictive evidence.

Canonical latest output (D07-F01-A11)
{
  "value": 104.92677609155169
}

Executable checks cover this result, flat/zero-volume boundaries, invalid timestamps, and prefix causality in both language entry points.