iofficeai--officecli/examples/word/formulas.md

Math / Formula Showcase

Generates a Word document with 67 equations spanning algebra, calculus, linear algebra, statistics, number theory, chemistry, physics, advanced LaTeX notation, and a coverage-completeness catalog. Three files:

• formulas.sh — builds the document with officecli (67 equations).
• formulas.docx — generated output; open in Word to see OMML-rendered equations.
• formulas.md — this file.

Regenerate

cd examples/word
bash formulas.sh
# → formulas.docx

I. Algebra

Fundamental algebraic identities using fractions, radicals, sums, and binomials.

# 1. Quadratic Formula
officecli add formulas.docx /body --type equation \
  --prop 'formula=x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}'

# 2. Binomial Theorem
officecli add formulas.docx /body --type equation \
  --prop 'formula=(a+b)^{n} = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^{k}'

# 3. Euler's Identity
officecli add formulas.docx /body --type equation \
  --prop 'formula=e^{i\pi} + 1 = 0'

Features: formula (LaTeX-ish math string, converted to OMML), \frac, \sqrt, \sum, \binom, superscripts/subscripts (^{}/_{}), \pm, \pi

II. Calculus

Limits, integrals, series, and transforms.

# 4. Limit Definition of Derivative
officecli add formulas.docx /body --type equation \
  --prop 'formula=f^{\prime}(x) = \lim_{\Delta x \rightarrow 0} \frac{f(x + \Delta x) - f(x)}{\Delta x}'

# 5. Gaussian Integral
officecli add formulas.docx /body --type equation \
  --prop 'formula=\int_{-\infty}^{+\infty} e^{-x^{2}} dx = \sqrt{\pi}'

# 6. Taylor Series Expansion
officecli add formulas.docx /body --type equation \
  --prop 'formula=f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!} (x-a)^{n}'

# 7. Newton-Leibniz Formula
officecli add formulas.docx /body --type equation \
  --prop 'formula=\int_{a}^{b} f(x) dx = F(b) - F(a)'

# 8. Triple Integral (Spherical Coordinates)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\iiint_{V} f(r, \theta, \phi) r^{2} \sin\theta \, dr \, d\theta \, d\phi'

# 9. Fourier Transform
officecli add formulas.docx /body --type equation \
  --prop 'formula=\hat{f}(\xi) = \int_{-\infty}^{+\infty} f(x) e^{-2\pi i x \xi} dx'

Features: \lim, \int, \iiint, \infty, \rightarrow, \Delta, \prime, \theta, \phi, \sin, \hat, \xi, \pi, spacing commands (\,)

III. Linear Algebra

Matrix characteristic equations.

# 10. Matrix Characteristic Equation
officecli add formulas.docx /body --type equation \
  --prop 'formula=\det(A - \lambda I) = 0'

Features: \det, \lambda

IV. Probability and Statistics

Bayes' theorem, normal distribution, and variance.

# 11. Bayes' Theorem
officecli add formulas.docx /body --type equation \
  --prop 'formula=P(A|B) = \frac{P(B|A) \cdot P(A)}{P(B)}'

# 12. Normal Distribution PDF
officecli add formulas.docx /body --type equation \
  --prop 'formula=f(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{(x-\mu)^{2}}{2\sigma^{2}}}'

# 13. Variance Formula
officecli add formulas.docx /body --type equation \
  --prop 'formula=\sigma^{2} = \frac{1}{N} \sum_{i=1}^{N} (x_{i} - \mu)^{2}'

Features: \sigma, \mu, \cdot, \pi (nested fractions in exponents)

V. Number Theory and Series

Zeta function and Stirling's approximation.

# 14. Riemann Zeta Function
officecli add formulas.docx /body --type equation \
  --prop 'formula=\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^{s}}'

# 15. Stirling's Approximation
officecli add formulas.docx /body --type equation \
  --prop 'formula=n! \approx \sqrt{2\pi n} \left(\frac{n}{e}\right)^{n}'

Features: \zeta, \approx, \left(, \right) (auto-sized delimiters)

VI. Chemistry

Chemical equations with subscripts, arrows, and thermodynamic notation.

# 16. Copper Sulfate Crystal Dissolution
officecli add formulas.docx /body --type equation \
  --prop 'formula=CuSO_{4} \cdot 5H_{2}O \rightarrow Cu^{2+} + SO_{4}^{2-} + 5H_{2}O'

# 17. Thermochemical Equation (Methane Combustion)
officecli add formulas.docx /body --type equation \
  --prop 'formula=CH_{4}(g) + 2O_{2}(g) \rightarrow CO_{2}(g) + 2H_{2}O(l) \quad \Delta H = -890.3 \, kJ/mol'

# 18. Chemical Equilibrium Constant
officecli add formulas.docx /body --type equation \
  --prop 'formula=K_{eq} = \frac{[C]^{c} [D]^{d}}{[A]^{a} [B]^{b}}'

# 19. Esterification Reaction (Reversible Arrow)
officecli add formulas.docx /body --type equation \
  --prop 'formula=CH_{3}COOH + C_{2}H_{5}OH \rightleftharpoons CH_{3}COOC_{2}H_{5} + H_{2}O'

# 20. Henderson-Hasselbalch Equation
officecli add formulas.docx /body --type equation \
  --prop 'formula=pH = pK_{a} + \log \frac{[A^{-}]}{[HA]}'

# 21. Van der Waals Equation
officecli add formulas.docx /body --type equation \
  --prop 'formula=\left(P + \frac{a n^{2}}{V^{2}}\right)(V - nb) = nRT'

# 22. Arrhenius Equation
officecli add formulas.docx /body --type equation \
  --prop 'formula=k = A e^{-\frac{E_{a}}{RT}}'

Features: \rightarrow, \rightleftharpoons (reversible arrow), \quad (wide space), \Delta, ion superscripts (^{2+}, ^{2-}), \log

VII. Physics

Maxwell's equations, relativity, and quantum mechanics.

# 23. Maxwell's Equations (Differential Form — 4 equations)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\nabla \cdot E = \frac{\rho}{\epsilon_{0}}'
officecli add formulas.docx /body --type equation \
  --prop 'formula=\nabla \cdot B = 0'
officecli add formulas.docx /body --type equation \
  --prop 'formula=\nabla \times E = -\frac{\partial B}{\partial t}'
officecli add formulas.docx /body --type equation \
  --prop 'formula=\nabla \times B = \mu_{0} J + \mu_{0} \epsilon_{0} \frac{\partial E}{\partial t}'

# 24. Einstein Field Equations
officecli add formulas.docx /body --type equation \
  --prop 'formula=R_{\mu\nu} - \frac{1}{2} R g_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8\pi G}{c^{4}} T_{\mu\nu}'

# 25. Schrodinger Equation
officecli add formulas.docx /body --type equation \
  --prop 'formula=i\hbar \frac{\partial}{\partial t} \Psi(r, t) = \hat{H} \Psi(r, t)'

# 26. Dirac Equation
officecli add formulas.docx /body --type equation \
  --prop 'formula=(i\gamma^{\mu} \partial_{\mu} - m) \psi = 0'

# 27. Euler-Lagrange Equation
officecli add formulas.docx /body --type equation \
  --prop 'formula=\frac{d}{dt} \frac{\partial L}{\partial \dot{q}_{i}} - \frac{\partial L}{\partial q_{i}} = 0'

# 28. Heisenberg Uncertainty Principle
officecli add formulas.docx /body --type equation \
  --prop 'formula=\Delta x \cdot \Delta p \geq \frac{\hbar}{2}'

# 29. Planck's Black-Body Radiation Formula
officecli add formulas.docx /body --type equation \
  --prop 'formula=B(\nu, T) = \frac{2h\nu^{3}}{c^{2}} \cdot \frac{1}{e^{\frac{h\nu}{k_{B} T}} - 1}'

# 30. Lorentz Transformation
officecli add formulas.docx /body --type equation \
  --prop 'formula=t^{\prime} = \gamma \left(t - \frac{vx}{c^{2}}\right), \quad \gamma = \frac{1}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}'

Features: \nabla, \times, \partial, \hbar, \Psi, \hat{H}, \gamma, \Lambda, \mu, \nu, \epsilon, \rho, \geq, \dot{q} (dot accent)

VIII. Advanced Notation

Matrix environments, auto-sized brackets, decorations, math fonts, and color.

# 31. Matrix (pmatrix — round brackets)
officecli add formulas.docx /body --type equation \
  --prop 'formula=A = \begin{pmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{pmatrix}'

# 32. Determinant (vmatrix — vertical bars)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\det(A) = \begin{vmatrix} a & b \\ c & d \end{vmatrix} = ad - bc'

# 33. Identity Matrix (bmatrix — square brackets)
officecli add formulas.docx /body --type equation \
  --prop 'formula=I_{3} = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}'

# 34. Piecewise Function (cases)
officecli add formulas.docx /body --type equation \
  --prop 'formula=|x| = \begin{cases} x, & x \geq 0 \\ -x, & x < 0 \end{cases}'

# 35. Auto-sized delimiters
officecli add formulas.docx /body --type equation \
  --prop 'formula=\left[ \frac{a}{b} \right] + \left\{ \frac{c}{d} \right\} + \left| \frac{e}{f} \right| + \left\langle \frac{g}{h} \right\rangle'

# 36. Floor and Ceiling
officecli add formulas.docx /body --type equation \
  --prop 'formula=\left\lfloor \frac{n}{2} \right\rfloor + \left\lceil \frac{n}{2} \right\rceil = n'

# 37. Underbrace and Overbrace
officecli add formulas.docx /body --type equation \
  --prop 'formula=\underbrace{1 + 2 + \cdots + n}_{n \text{ terms}} = \overbrace{\frac{n(n+1)}{2}}^{\text{closed form}}'

# 38. Overset (definition)
officecli add formulas.docx /body --type equation \
  --prop 'formula=f(x) \overset{\text{def}}{=} \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}'

# 39. Math Fonts (mathbb / mathcal / mathbf / mathrm)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\forall x \in \mathbb{R}, \exists \mathcal{L} : \mathbf{v} \mapsto \mathrm{d}\mathbf{v}'

# 40. Cancellation
officecli add formulas.docx /body --type equation \
  --prop 'formula=\frac{(x+1) \cancel{(x-1)}}{\cancel{(x-1)}} = x + 1'

# 41. Cancel-to (limit annotation)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\lim_{x \to \infty} \cancelto{0}{\frac{1}{x}} + 1 = 1'

# 42. Boxed result
officecli add formulas.docx /body --type equation \
  --prop 'formula=\boxed{E = mc^{2}}'

# 43. Accents (bar / vec / tilde / ddot)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\bar{x} = \frac{1}{n} \sum x_{i}, \quad \vec{F} = m\ddot{\vec{r}}, \quad \tilde{f}(\xi)'

# 44. Overline and Underline
officecli add formulas.docx /body --type equation \
  --prop 'formula=\overline{A \cup B} = \overline{A} \cap \overline{B}, \quad \underline{x} \leq x \leq \overline{x}'

# 45-55: Additional advanced notation (hyperbolic trig, operatorname, modular, norms, dots, spacing, color, set theory) ...

# 53. Colored Math
officecli add formulas.docx /body --type equation \
  --prop 'formula=\textcolor{red}{x^{2}} + \textcolor{blue}{2xy} + \textcolor{green}{y^{2}} = \color{purple}{(x+y)^{2}}'

Features: \begin{pmatrix}, \begin{vmatrix}, \begin{bmatrix}, \begin{cases} (matrix environments), \left/\right with [, {, |, \langle, \rfloor, \rceil (auto-sized delimiters), \underbrace, \overbrace, \overset, \cancel, \cancelto, \boxed, \bar, \vec, \tilde, \ddot, \overline, \underline, \mathbb, \mathcal, \mathbf, \mathrm, \forall, \exists, \mapsto, \textcolor, \color

IX. Equation Mode — display vs. inline

The mode prop controls whether the equation renders as a block-level element or is embedded inline within the paragraph.

# mode=display (default): own block-level oMathPara element, centred
officecli add formulas.docx /body --type paragraph \
  --prop text="56. Display mode (default) — centred block equation:"
officecli add formulas.docx /body --type equation \
  --prop 'formula=E = mc^{2}' --prop mode=display

# mode=inline: equation appended to parent paragraph as an oMath child
officecli add formulas.docx /body --type paragraph \
  --prop text="57. Inline mode — equation embedded mid-sentence:"
officecli add formulas.docx /body --type equation \
  --prop 'formula=A = \pi r^{2}' --prop mode=inline

Features: mode (display/inline — display wraps in oMathPara as a block; inline inserts oMath as a run inside the current paragraph)

X. Coverage Completeness — Additional Supported Commands

A representative catalog of supported commands not exercised above: n-ary contour integrals, limit-style operators with under-limits, explicit limits placement, products, binary operators, arrows, additional math fonts, over/under-set, and legacy fraction syntax.

# 58. N-ary Contour Integrals (oint / oiint / oiiint)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\oint_C \vec{F} \cdot d\vec{r} = \iint_S (\nabla \times \vec{F}) \cdot d\vec{S}, \quad \oiint_S \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0}, \quad \oiiint_V \rho \, dV'

# 59. Limit-style Operators with Under-limits (max / min / sup / inf)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\max_{1 \le i \le n} a_i \geq \min_{1 \le i \le n} a_i, \quad \sup_{x \in S} f(x) \geq \inf_{x \in S} f(x)'

# 60. More Limit Operators (limsup / liminf / argmax / argmin)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\limsup_{n \to \infty} x_n \geq \liminf_{n \to \infty} x_n, \quad \hat{\theta} = \argmax_{\theta} L(\theta) = \argmin_{\theta} (-L(\theta))'

# 61. Named Operators with Limits (det / gcd / Pr)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\det_{A \in M} A, \quad \gcd_{i} a_i, \quad \Pr_{x \sim D}[X = x]'

# 62. Limits Placement Control (\limits / \nolimits)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\lim\limits_{x \to 0} \frac{\sin x}{x} = 1, \quad \sum\nolimits_{i=1}^{n} i = \frac{n(n+1)}{2}'

# 63. N-ary Product (prod)
officecli add formulas.docx /body --type equation \
  --prop 'formula=n! = \prod_{k=1}^{n} k, \quad \prod_{p \text{ prime}} \frac{1}{1 - p^{-s}} = \zeta(s)'

# 64. Binary Operators (div / ast / star / circ / oplus / ominus / otimes / odot / bullet)
officecli add formulas.docx /body --type equation \
  --prop 'formula=a \div b, \quad f \ast g, \quad a \star b, \quad f \circ g, \quad a \oplus b \ominus c, \quad u \otimes v \odot w, \quad x \bullet y'

# 65. Arrows (leftarrow / uparrow / downarrow / leftrightarrow / Rightarrow / Leftarrow / Leftrightarrow / gets / implies)
officecli add formulas.docx /body --type equation \
  --prop 'formula=a \leftarrow b \uparrow c \downarrow d \leftrightarrow e, \quad P \Rightarrow Q, \quad R \Leftarrow S, \quad X \Leftrightarrow Y, \quad n \gets n+1, \quad p \implies q'

# 66. Math Fonts (boldsymbol / mathit) and Over/Under-set
officecli add formulas.docx /body --type equation \
  --prop 'formula=\boldsymbol{\alpha} + \mathit{xyz}, \quad \overset{!}{=} \quad \underset{n \to \infty}{\lim} a_n'

# 67. Relations, Logic, Sets, Trig, and Legacy Fraction
officecli add formulas.docx /body --type equation \
  --prop 'formula=a \neq b \sim c, \quad A \subset B \supset C, \quad p \lor \neg q \wedge r, \quad u \vee v, \quad \ell_1 \parallel \ell_2, \quad \varnothing = \complement_U U, \quad \cos^2 x + \tan x - \ln x, \quad {a \over b}'

Features: \oint, \oiint, \oiiint (n-ary contour integrals), \max, \min, \sup, \inf, \limsup, \liminf, \argmax, \argmin, \det, \gcd, \Pr (limit-style operators with under-limits), \limits, \nolimits (limits placement), \prod (n-ary product), \div, \ast, \star, \circ, \oplus, \ominus, \otimes, \odot, \bullet (binary operators), \leftarrow, \uparrow, \downarrow, \leftrightarrow, \Rightarrow, \Leftarrow, \Leftrightarrow, \gets, \implies (arrows), \boldsymbol, \mathit (math fonts), \underset (under-set), \neq, \sim, \subset, \supset, \lor, \neg, \wedge, \vee, \parallel (relations/logic), \varnothing, \complement (sets), \cos, \tan, \ln (trig/functions), {a \over b} (legacy fraction syntax)

XI. Full Symbol & Environment Coverage

This section exhaustively exercises the remaining parser-supported commands — Greek variants, the full relation/negated-relation set, extended arrows, a large miscellaneous-symbol block, every math font family, and the remaining math environments — so nearly the entire command table is demonstrated at least once.

# 68. Greek Variants and Extra Letters
officecli add formulas.docx /body --type equation \
  --prop 'formula=\chi, \iota, \kappa, \omega, \tau, \upsilon, \varepsilon, \varphi, \varpi, \varrho, \varsigma, \vartheta, \varkappa, \digamma'

# 69. Relation Symbols
officecli add formulas.docx /body --type equation \
  --prop 'formula=a \cong b \simeq c \asymp d \doteq e, \quad f \propto g, \quad x \prec y \succ z, \quad p \preceq q \succeq r, \quad m \ll n \gg k, \quad \Gamma \models \phi \vdash \psi \dashv \chi \Vdash \omega, \quad u \perp v, \quad \top, \quad a \ni b, \quad S \sqsubset T \sqsubseteq U \sqsupset V \sqsupseteq W, \quad A \subsetneq B \supsetneq C'

# 70. Negated Relations
officecli add formulas.docx /body --type equation \
  --prop 'formula=a \nleq b, \quad c \ngeq d, \quad e \nmid f, \quad A \nsubseteq B, \quad C \nsupseteq D, \quad \nexists x'

# 71. Extended Arrows
officecli add formulas.docx /body --type equation \
  --prop 'formula=a \longleftarrow b \longrightarrow c \longleftrightarrow d, \quad x \longmapsto y, \quad e \hookleftarrow f \hookrightarrow g, \quad p \twoheadrightarrow q \rightsquigarrow r, \quad u \leftharpoonup v \leftharpoondown w \rightharpoonup s \rightharpoondown t, \quad \nearrow \searrow \swarrow \nwarrow, \quad \alpha \curvearrowleft \beta \curvearrowright \gamma, \quad P \impliedby Q'

# 72. Miscellaneous Symbols
officecli add formulas.docx /body --type equation \
  --prop 'formula=\aleph, \beth, \gimel, \daleth, \wp, \Re, \Im, \Sigma, \quad \angle, \measuredangle, \sphericalangle, \triangle, \triangleleft, \triangleright, \quad \square, \blacksquare, \Diamond, \diamond, \diamondsuit, \clubsuit, \heartsuit, \spadesuit, \quad \flat, \sharp, \natural, \dagger, \ddagger, \bigstar, \quad a \amalg b \uplus c \sqcap d \sqcup e \wr f, \quad x \bowtie y \frown z \smile w, \quad p \mp q, \quad \bigtriangledown'

# 73. Math Font Families
officecli add formulas.docx /body --type equation \
  --prop 'formula=\mathfrak{ABCDabcd} \quad \mathsf{ABCDabcd} \quad \mathtt{ABCDabcd} \quad \textbf{ABCDabcd} \quad \textit{ABCDabcd} \quad \textsf{ABCDabcd} \quad \texttt{ABCDabcd}'

# 74. Environments — Bmatrix and Vmatrix
officecli add formulas.docx /body --type equation \
  --prop 'formula=\begin{Bmatrix} a & b \\ c & d \end{Bmatrix} \quad \begin{Vmatrix} a & b \\ c & d \end{Vmatrix}'

# 75. Environments — smallmatrix and array (colspec)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\left(\begin{smallmatrix} 1 & 0 \\ 0 & 1 \end{smallmatrix}\right) \quad \begin{array}{cc} x & y \\ z & w \end{array}'

# 76. Environments — aligned and align (multi alignment points)
officecli add formulas.docx /body --type equation \
  --prop 'formula=\begin{aligned} a &= b \\ c &= d \end{aligned} \qquad \begin{align} a &= b & c &= d \\ e &= f & g &= h \end{align}'

# 77. Environments — gather, split, and substack
officecli add formulas.docx /body --type equation \
  --prop 'formula=\begin{gather} x = 1 \\ y = 2 \end{gather} \qquad \begin{split} a &= b + c \\ &= d \end{split} \qquad \sum_{\substack{i=1 \\ j=1}}^{n} a_{ij}'

Features:

Group	Commands
Greek variants	\chi \iota \kappa \omega \tau \upsilon \varepsilon \varphi \varpi \varrho \varsigma \vartheta \varkappa \digamma
Relations	\cong \simeq \asymp \doteq \propto \prec \succ \preceq \succeq \ll \gg \models \vdash \dashv \perp \top \ni \sqsubset \sqsubseteq \sqsupset \sqsupseteq \subsetneq \supsetneq \Vdash
Negated relations	\nleq \ngeq \nmid \nsubseteq \nsupseteq \nexists
Extended arrows	\longleftarrow \longrightarrow \longleftrightarrow \longmapsto \hookleftarrow \hookrightarrow \twoheadrightarrow \rightsquigarrow \leftharpoonup \leftharpoondown \rightharpoonup \rightharpoondown \nearrow \searrow \swarrow \nwarrow \curvearrowleft \curvearrowright \impliedby
Misc symbols	\aleph \beth \gimel \daleth \wp \Re \Im \Sigma \angle \measuredangle \sphericalangle \triangle \triangleleft \triangleright \square \blacksquare \Diamond \diamond \diamondsuit \clubsuit \heartsuit \spadesuit \flat \sharp \natural \dagger \ddagger \bigstar \amalg \uplus \sqcap \sqcup \wr \bowtie \frown \smile \mp \bigtriangledown
Math font families	\mathfrak \mathsf \mathtt \textbf \textit \textsf \texttt
Environments	Bmatrix Vmatrix smallmatrix array (colspec) aligned align (multi-point) gather split substack

This section exercises every command the parser recognizes; \nparallel (∦, "not parallel") is included — its forward mapping was added so it now parses and round-trips symmetrically with the reverse dump.

Complete Feature Coverage

Feature	Section
formula (LaTeX-ish math string → OMML)	All sections
mode=display (block-level oMathPara, centred)	IX
mode=inline (inline oMath within paragraph)	IX
Fractions (\frac), radicals (\sqrt), sums/integrals (\sum, \int, \iiint)	I, II
Binomial (\binom), limits (\lim), derivatives (\prime, \partial, \dot)	I, II
Greek letters (full set: α–Ω, upper and lower)	II, VII, VIII
Chemical arrows (\rightarrow, \rightleftharpoons)	VI
Matrix environments (pmatrix, vmatrix, bmatrix, cases)	VIII
Auto-sized delimiters (\left/\right with [, {, \langle, \lfloor, \lceil)	V, VIII
Decorations (\underbrace, \overbrace, \overset, \cancel, \cancelto, \boxed)	VIII
Accents (\bar, \vec, \tilde, \ddot, \overline, \underline)	VIII
Math fonts (\mathbb, \mathcal, \mathbf, \mathrm)	VIII
Colored math (\textcolor, \color)	VIII
Spacing control (\,, \;, \quad, \qquad)	II, VI, VIII
N-ary contour integrals (\oint, \oiint, \oiiint)	X
Limit-style operators (\max, \min, \sup, \inf, \limsup, \liminf, \argmax, \argmin, \det, \gcd, \Pr)	X
Limits placement (\limits, \nolimits), product (\prod)	X
Binary operators (\div, \ast, \star, \circ, \oplus, \ominus, \otimes, \odot, \bullet)	X
Arrows (\leftarrow, \uparrow, \downarrow, \leftrightarrow, \Rightarrow, \Leftarrow, \Leftrightarrow, \gets, \implies)	X
Additional math fonts (\boldsymbol, \mathit), over/under-set (\underset)	X
Relations/logic/sets (\neq, \sim, \subset, \supset, \lor, \neg, \wedge, \vee, \parallel, \varnothing, \complement)	X
Trig/functions (\cos, \tan, \ln), legacy fraction ({a \over b})	X
Greek variants (\chi, \varepsilon, \varphi, \varkappa, \digamma, …)	XI
Full relation set (\cong, \simeq, \prec, \succ, \sqsubseteq, \Vdash, …) and negated relations (\nleq, \nmid, \nsubseteq, \nexists, …)	XI
Extended arrows (\longmapsto, \hookrightarrow, \twoheadrightarrow, \rightsquigarrow, harpoons, diagonals, \curvearrowleft, \impliedby)	XI
Miscellaneous symbols (\aleph, \wp, \Re, \angle, \blacksquare, suits, \dagger, \bowtie, \bigtriangledown, …)	XI
Math font families (\mathfrak, \mathsf, \mathtt, \textbf, \textit, \textsf, \texttt)	XI
Extra environments (Bmatrix, Vmatrix, smallmatrix, array, aligned, align, gather, split, substack)	XI

Inspect the Generated File

# List all equations in the document
officecli query formulas.docx equation

# Inspect a specific equation node
officecli get formulas.docx "/body/oMathPara[1]"

# Get the second equation (inline mode is an oMath, not oMathPara)
officecli get formulas.docx "/body/p[last()]/oMath[1]"