orth_proj#

  • Series: lecture-python-advanced.myst

  • File: lectures/orth_proj.md

  • Audit date: 2026-05-28

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

  • Overall score: 6.4 / 10

  • Priority: MEDIUM

Score breakdown#

Category

Score

One-line note

Writing

8/10

Title in Title Case; sentence-case headings; clean one-sentence paragraphs.

Math

3/10

Systemic primes as transpose; \begin{array} blocks for matrices.

Code

8/10

4 spelled Greek; no install cell (numpy only — OK).

JAX

N/A

not a JAX lecture

Figures

6/10

6 {figure} directives reference static PNGs; no :name: fields.

References

9/10

1 {cite} used.

Links

9/10

No cross-series URL links; self-contained.

Admonitions

9/10

3 gated exercises and 3 solutions with :class: dropdown; 18 {prf:...} directives — exemplary proof-family use.

Issues#

Critical#

None found.

High severity#

  • [qe-math-002] — Prime ' used systematically as transpose. Example: P = X (X' X)^{-1} X' y, U' U = I, (R' R)^{-1} R'. Count: ~47 occurrences.

  • [qe-math-003] — \begin{array}{c} (and {cccc}) used for matrices instead of \begin{bmatrix}. Example: lectures/orth_proj.md:535, :545, :560, :569, :777. Count: 6 occurrences.

Medium severity#

  • [qe-fig-002] — 6 {figure} directives reference static schematic PNGs.

Low severity#

  • [qe-math-010 (proposed)] — Two \mathbb{E} occurrences (per scan).

  • [qe-fig-005] — Figures lack :name: fig-... fields.

  • [qe-code-002] — 4 spelled Greek in code.

Strengths#

  • Title in Title Case (qe-writing-006).

  • Subheadings sentence case (qe-writing-006).

  • Sentence-case definitions in bold (e.g. **orthogonal**, **orthogonal complement**) follow qe-writing-005.

  • One-sentence paragraph rule respected (qe-writing-001).

  • Heavy correct prf: directive use (qe-admon-004) — 18 occurrences.

  • Exercises gated; solutions use :class: dropdown (qe-admon-001, qe-admon-002).