cross_product_trick#

  • Series: lecture-python.myst

  • File: lectures/cross_product_trick.md

  • Audit date: 2026-05-28

  • Categories audited: writing, math, code, figures, references, links, admonitions

  • Overall score: 7.2 / 10

  • Priority: HIGH

Score breakdown#

Category

Score

One-line note

Writing

6/10

Section headings use Title Case rather than sentence case.

Math

3/10

Broken {eq} reference (mismatched braces).

Code

10/10

Clean code conventions.

JAX

out of scope

not a JAX lecture

Figures

N/A

No figures.

References

N/A

No citations.

Links

10/10

Link style follows conventions.

Admonitions

N/A

No admonitions.

Issues#

Critical#

  • [qe-math-013 (proposed)] — Broken {eq} reference (mismatched braces). Example: line 133 {eq}eq:Kalman102}`.

High severity#

  • [qe-math-002] — Transpose denoted ' (prime) instead of \top throughout. Examples: line 48 x_t' R x_t, line 63 B'PB, line 67 A'PA, lines 82–88 inside \begin{align*}, lines 119–143 (Kalman filter formulas). Count: 30+ occurrences.

Medium severity#

  • [qe-writing-006] — Section headings use Title Case rather than sentence case. Examples: line 33 ## Undiscounted Dynamic Programming Problem, line 92 ## Kalman Filter. Count: 2 occurrences.

Low severity#

  • [qe-writing-009 (proposed)] — Uses “i.i.d.” rather than “IID”. Example: line 110 is an i.i.d. $p \times 1$ random vector.

  • [qe-writing-001] — Several multi-sentence paragraphs (e.g. lines 80, 94–95) that could be split into single-sentence units.

Strengths#

  • Title H1 uses Title Case correctly.

  • Uses aligned/align* MyST math (not align inside $$).

  • No bold vectors or \mathcal{N} issues.