32-unit authored study sequence

Start with eight foundation experiments, then progress through AI, quantum, and scientific or operational companions. Each linked unit states prerequisites, a worked prediction, executable code and its evidence boundary. The remaining seventeen extension notebooks deepen selected topics. This sequence does not change the 300 legacy path IDs or imply certified academic mastery.

1. Subnetting Without Memorization
2. Eigenvalues and Eigenvectors
3. Bayes’ Theorem
4. Qubits and Superposition Without the Mysticism
5. Quantum Entanglement: A Joint State That Cannot Be Separated
6. RTO and RPO: Two Different Recovery Targets
7. Testing at Multiple Layers
8. SLI, SLO, SLA
9. Fit a classifier without leaking the test set
10. Derive and check a neural-network gradient
11. Test message passing under node relabeling
12. Check an equivariant coordinate update
13. Inspect a causal attention block
14. Retrieve evidence and abstain when it is absent
15. Execute a typed tool and recover after a failure
16. Coordinate roles with testable artifacts
17. Track a noisy state with a density operator
18. Move an eigenphase onto an ancilla
19. Verify a quantum Fourier transform as a unitary
20. Measure phase error on a circle
21. Observe amplification and overshooting
22. Separate order finding from factoring post-processing
23. Compare a variational energy with exact diagonalization
24. Decode bit-flip syndromes and expose the limit
25. Audit the recorded geometry benchmark
26. Separate an exact diffusion mode from an inverse problem
27. Check synchronization against numerical resolution
28. Connect scaling bounds, arithmetic intensity and collectives
29. Distinguish readiness from liveness during a failure
30. Test a parser and measure a detection rule
31. Keep learned scores inside explicit constraints
32. Compare a learned policy with an exact plan

Integration portfolio

For each group, retain one prediction, a passing reference case, a deliberately failed or perturbed case, an interpretation and a primary-source locator. Review whether the calculation supports the claim before marking your existing learning plan complete.