lq_inventories#

  • Series: lecture-dp

  • File: lectures/lq_inventories.md

  • Audit date: 2026-05-28

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

  • Overall score: 7.4 / 10

  • Priority: HIGH

Score breakdown#

Category

Score

One-line note

Writing

6/10

Two Title-Case H2 headings; some long paragraphs.

Math

4/10

Apostrophe transpose; array-environment matrices alongside bmatrix; \cr separators.

Code

8/10

Unicode Greek; pip install at top; PEP8 generally fine; figsize used once.

JAX

out of scope

not a JAX lecture.

Figures

8/10

No matplotlib titles; lowercase axis labels; minimal figsize.

References

9/10

Single {cite} used parenthetically — appropriate.

Links

9/10

Two {doc} references; no problematic raw URLs.

Admonitions

8/10

Exercises use :label: and dropdown solutions.

Issues#

Critical#

None found.

High severity#

  • [qe-math-002] — Apostrophe ' (and ^\prime) used as transpose throughout the LQ derivation. Lines: 131, 137, 148-149, 151, 153. Count: 12+ occurrences.

  • [qe-math-003] — Mixed bmatrix and \left[\begin{array}{cc} … \end{array}\right] matrix delimiters. Lines: 114-117, 150-171. Count: 11 array-matrix blocks.

Medium severity#

  • [qe-writing-006] — Two H2 headings in Title Case: ## Inventories Not Useful (417), ## Inventories Useful but are Hardwired to be Zero Always (448).

  • [qe-math-001] — aligned blocks use \cr row separator instead of \\. Lines: 101, 107, 113-120, 144-149.

  • [qe-math-010 (proposed)] — Bare E_0 used for expectation in display equation (line 195). Should be \mathbb{E}_0.

Low severity#

  • [qe-writing-001] — Several multi-sentence paragraphs.

  • [qe-writing-009 (proposed)] — Smart quotes ’ used in narrative (lines 50, 58, 82, 89-91, 129-132).

Strengths#

  • Lecture title in correct Title Case.

  • Most H2 headings sentence case (“Overview”, “Example 1-6”, “Exercises”).

  • Definitions bolded (“state”, “control”).

  • “IID”/Greek-letter conventions consistent.

  • pip install at top.

  • Exercises use labels + solution-start/solution-end with dropdown solutions.

  • No \tag, no bold vectors, no matplotlib title / spine / Title-Case-label issues.