ASCII Variable Review Matrix

Review symbol and unit glyph inputs against the same parser path used by FormulaSheet rows. Authored expectations and observed parser results are reported separately.

Cases: 125
Groups: 10
Matches: 125/125

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M_{cr}

Case	Input	ASCII Render	Authored expectation	Observed outcome	Review Focus
Variables And TextVariable words, adjacent tokens, quoted labels, and literal punctuation.
Single lowercase	`b`	$b$	Supported Plain variable token	Rendered Matches the expected notation	Base variable rendering
Single uppercase	`M`	$M$	Supported Plain uppercase variable token	Rendered Matches the expected notation	Capital symbol names
Multi-letter word	`width`	$width$	Supported One variable word	Rendered Matches the expected notation	Long variable labels
Mixed case word	`Mcr`	$Mcr$	Supported One mixed-case variable word	Rendered Matches the expected notation	Case preservation
Adjacent words	`Delta c`	$Δ c$	Supported Greek alias followed by variable	Rendered Matches the expected notation	Whitespace-separated sequences
Adjacent number	`x1`	$x 1$	Supported Variable followed by integer	Rendered Matches the expected notation	Word and number boundary
Repeated token	`ccc`	$ccc$	Supported One variable word	Rendered Matches the expected notation	No implicit splitting by letter
Quoted text	`"gross area"`	$gross area$	Supported Quoted literal text	Rendered Matches the expected notation	Spaces inside labels
Escaped quote	`"quote \"inside\""`	$quote "inside"$	Supported Quoted text with escaped quotes	Rendered Matches the expected notation	Quoted-string escaping
Percent character	`%`	$%$	Literal fallback Unknown character rendered literally	Rendered Matches the expected notation	Fallback for unit punctuation
Hyphenated text	`f-ck`	$f - ck$	Literal fallback Hyphen is an operator-like literal token	Rendered Matches the expected notation	Unexpected punctuation inside labels
NumbersInteger, decimal, signed, and number-like strings.
Integer	`123`	$123$	Supported Integer token	Rendered Matches the expected notation	Whole-number labels
Decimal	`3.14`	$3.14$	Supported Float token	Rendered Matches the expected notation	Decimal labels
Trailing decimal	`3.`	$3.$	Supported Float token	Rendered Matches the expected notation	Decimal without fractional digits
Leading decimal	`.5`	$.5$	Supported Float token	Rendered Matches the expected notation	Decimal without leading zero
Negative integer	`-12`	$-12$	Supported Signed integer token	Rendered Matches the expected notation	Negative numeric labels
Negative decimal	`-0.5`	$-0.5$	Supported Signed float token	Rendered Matches the expected notation	Negative decimal labels
Zero	`0`	$0$	Supported Integer zero	Rendered Matches the expected notation	Zero labels
Scientific notation text	`1e3`	$1 e 3$	Literal fallback Integer, variable, integer sequence	Rendered Matches the expected notation	Unsupported exponent notation
NaN text	`NaN`	$NaN$	Literal fallback Variable word	Rendered Matches the expected notation	Non-number text stays textual
Infinity text	`Infinity`	$Infinity$	Literal fallback Variable word	Rendered Matches the expected notation	Infinity is not a numeric token
Subscripts And SuperscriptsSupported script order, grouped scripts, spacing, and intentional fallback syntax.
Subscript	`f_ck`	$f_{ck}$	Supported Single-token subscript	Rendered Matches the expected notation	Common engineering symbols
Superscript	`mm^2`	${mm}^{2}$	Supported Single-token superscript	Rendered Matches the expected notation	Unit powers
Subscript and power	`x_i^2`	$x_{i}^{2}$	Supported Subscript before superscript	Rendered Matches the expected notation	Supported combined script order
Power then subscript	`x^2_i`	$x^{2}_i$	Literal fallback Superscript renders; trailing subscript marker is literal	Rendered Matches the expected notation	Unsupported script order
Brace subscript	`c_{min,dur}`	$c_{\min, dur}$	Supported Grouped multi-token subscript	Rendered Matches the expected notation	Comma-separated script text
Brace superscript	`A^{alpha+1}`	$A^{α + 1}$	Supported Grouped exponent	Rendered Matches the expected notation	Expression in exponent
Both grouped	`x_{a+b}^{n-1}`	$x_{a + b}^{n -1}$	Supported Grouped subscript and superscript	Rendered Matches the expected notation	Multi-token scripts on both sides
Nested brace script	`x_{{a+b}}`	$x_{a + b}$	Supported Nested brace groups are accepted and remain structural	Rendered Matches the expected notation	Invisible nested script grouping
Greek subscript	`Delta c_{dur,gamma}`	$Δ c_{dur, γ}$	Supported Plain Greek aliases in label and script	Rendered Matches the expected notation	Plain Greek in scripts
Backslash Greek script	`\Delta c_{dur,\gamma}`	$Δ c_{dur, γ}$	Supported Backslash Greek aliases in label and script	Rendered Matches the expected notation	Backslash Greek in scripts
Whitespace after marker	`x_ {i}`	$x_{i}$	Supported Whitespace ignored before script argument	Rendered Matches the expected notation	Authoring tolerance
Dangling subscript marker	`x_`	$x_$	Literal fallback Trailing marker renders literally	Rendered Matches the expected notation	Incomplete authoring fallback
Paren script fallback	`omega_(abc)`	$ω_(abc)$	Literal fallback Parentheses render visibly but are not consumed as a subscript	Rendered Matches the expected notation	Use braces for scripts
Square script fallback	`x_[abc]`	$x_[abc]$	Literal fallback Square brackets render visibly but are not consumed as a subscript	Rendered Matches the expected notation	Use braces for scripts
Fractions And GroupsBraces group invisibly; parentheses and square brackets group visibly.
Simple fraction	`1/3`	$\frac{1}{3}$	Supported One item over one item	Rendered Matches the expected notation	Basic fraction rendering
Symbol fraction	`a/b`	$\frac{a}{b}$	Supported Variable over variable	Rendered Matches the expected notation	Variable ratio
Visible paren group	`(a+b)`	$(a + b)$	Supported Visible parentheses around grouped contents	Rendered Matches the expected notation	Common math grouping
Visible square group	`[a+b]`	$[a + b]$	Supported Visible square brackets around grouped contents	Rendered Matches the expected notation	Bracketed grouping
Unit fraction	`kN/m^2`	$\frac{kN}{m^{2}}$	Supported Unit over powered unit	Rendered Matches the expected notation	Compound unit labels
Grouped fraction	`{a+b}/{c+d}`	$\frac{a + b}{c + d}$	Supported Invisible brace groups expand both fraction sides	Rendered Matches the expected notation	Bare multi-token fraction sides
Visible numerator group	`(M1+M2)/m_3`	$\frac{(M 1 + M 2)}{m_{3}}$	Supported Parenthesized numerator stays visible and groups the fraction side	Rendered Matches the expected notation	Common numerator grouping
Invisible numerator group	`{M1+M2}/m_3`	$\frac{M 1 + M 2}{m_{3}}$	Supported Brace group expands the numerator without visible fences	Rendered Matches the expected notation	Authoring-only grouping
Grouped numerator	`{M_cr+M_Rd}/M_Ed`	$\frac{M_{cr} + M_{Rd}}{M_{Ed}}$	Supported Invisible grouped numerator	Rendered Matches the expected notation	Mixed scripts inside numerator
Grouped denominator	`a/{b+c}`	$\frac{a}{b + c}$	Supported Invisible grouped denominator	Rendered Matches the expected notation	Expanded denominator
Grouped product	`{b*h}/12`	$\frac{b \cdot h}{12}$	Supported Invisible grouped numerator	Rendered Matches the expected notation	Operator tokens inside groups
Nested grouped fraction	`{{a+b}/c}/d`	$\frac{\frac{a + b}{c}}{d}$	Supported Invisible outer group around a fraction numerator	Rendered Matches the expected notation	Nested group and fraction rendering
Leading slash	`/a`	$/ a$	Supported Slash operator followed by a variable	Rendered Matches the expected notation	Leading slash is an operator, not unary fraction syntax
Missing denominator	`a/`	$?$	Error fallback Parser error rendered as red question mark	Parse error MISSING_FRACTION_DENOMINATOR at 2	Incomplete fraction input
Unclosed group	`{a+b`	$?$	Error fallback Parser error rendered as red question mark	Parse error UNCLOSED_GROUP at 0	Missing closing brace
Empty group	`{}`	$?$	Error fallback Parser error rendered as red question mark	Parse error EMPTY_GROUP at 1	Brace group must contain an item
Greek LettersPlain and backslash-prefixed Greek aliases.
Lowercase core	`alpha beta gamma delta`	$α β γ δ$	Supported Lowercase Greek aliases	Rendered Matches the expected notation	Common lowercase letters
Lowercase extended	`zeta eta theta iota kappa`	$ζ η θ ι κ$	Supported More lowercase Greek aliases	Rendered Matches the expected notation	Lowercase coverage
Lowercase tail	`lambda mu nu xi pi rho sigma tau`	$λ μ ν ξ π ρ σ τ$	Supported More lowercase Greek aliases	Rendered Matches the expected notation	Lowercase coverage
Lowercase variants	`epsilon varepsilon vartheta phi varphi`	$ε ɛ ϑ ϕ φ$	Supported Variant Greek aliases	Rendered Matches the expected notation	Variant glyph choices
Lowercase final	`upsilon chi psi omega`	$υ χ ψ ω$	Supported Final lowercase Greek aliases	Rendered Matches the expected notation	Lowercase coverage
Uppercase core	`Gamma Delta Theta Lambda Xi`	$Γ Δ Θ Λ Ξ$	Supported Uppercase Greek aliases	Rendered Matches the expected notation	Uppercase coverage
Uppercase tail	`Pi Sigma Phi Psi Omega`	$Π Σ Φ Ψ Ω$	Supported Uppercase Greek aliases	Rendered Matches the expected notation	Uppercase coverage
Backslash lowercase	`\alpha \delta \omega`	$α δ ω$	Supported Backslash lowercase Greek aliases	Rendered Matches the expected notation	Backslash Greek support
Single backslash Greek	`\delta`	$δ$	Supported One backslash Greek alias	Rendered Matches the expected notation	Single-token backslash Greek support
Backslash uppercase	`\Delta \Omega`	$Δ Ω$	Supported Backslash uppercase Greek aliases	Rendered Matches the expected notation	Backslash Greek support
Unsupported backslash word	`\betaValue`	$\betaValue$	Literal fallback Backslash renders literally before non-Greek command text	Rendered Matches the expected notation	Backslash command fallback
Known Alias SweepCompact aliases for operators, sets, calculus, relations, logic, arrows, and shapes.
Products	`* cdot ast * star`	$\cdot \cdot * * ⋆ ⋆$	Supported Product and star aliases	Rendered Matches the expected notation	Operator alias coverage
Division aliases	`// backslash setminus -: div`	$/ \ \ \div \div$	Supported Slash, setminus, and division aliases	Rendered Matches the expected notation	Division-like symbols
Times aliases	`xx times \|>< ><\| \|><\|`	$\times \times ⋉ ⋊ ⋈$	Supported Times and join aliases	Rendered Matches the expected notation	Product variants
Circle operators	`@ circ o+ oplus ox otimes o. odot`	$\circ \circ \oplus \oplus \otimes \otimes ⊙ ⊙$	Supported Circle and circled operator aliases	Rendered Matches the expected notation	Circle operator variants
Large operators	`sum prod int oint`	$\sum \prod \int \oint$	Supported Summation, product, and integral aliases	Rendered Matches the expected notation	Large operator coverage
Calculus aliases	`del partial grad nabla`	$\partial \partial \nabla \nabla$	Supported Differential and gradient aliases	Rendered Matches the expected notation	Calculus symbols
And word	`and`	$and$	Supported Textual logic word	Rendered Matches the expected notation	Word alias with no symbol substitution
Or word	`or`	$or$	Supported Textual logic word	Rendered Matches the expected notation	Word alias with no symbol substitution
If word	`if`	$if$	Supported Textual logic word	Rendered Matches the expected notation	Word alias with no symbol substitution
Negation aliases	`not neg`	$\neg \neg$	Supported Both aliases render as negation symbols	Rendered Matches the expected notation	Symbolic logic aliases
Logic quantifiers	`AA forall EE exists`	$\forall \forall \exists \exists$	Supported Quantifier aliases	Rendered Matches the expected notation	Logic quantifier coverage
Bottom symbol alias	`_\|_`	$⊥$	Supported Bottom truth symbol	Rendered Matches the expected notation	Symbolic false alias
Bottom word alias	`bot`	$⊥$	Supported Bottom truth symbol	Rendered Matches the expected notation	Word false alias
Top symbol alias	`TT`	$⊤$	Supported Top truth symbol	Rendered Matches the expected notation	Symbolic true alias
Top word alias	`top`	$⊤$	Supported Top truth symbol	Rendered Matches the expected notation	Word true alias
Implication aliases	`=> implies <=> iff`	$\Rightarrow \Rightarrow \Leftrightarrow \Leftrightarrow$	Supported Implication aliases	Rendered Matches the expected notation	Logical implication variants
Set aliases	`nn cap nnn bigcap uu cup uuu bigcup`	$\cap \cap ⋂ ⋂ \cup \cup ⋃ ⋃$	Supported Set intersection and union aliases	Rendered Matches the expected notation	Set operation coverage
Membership aliases	`in !in notin sub subset sube subseteq`	$\in \notin \notin \subset \subset \subseteq \subseteq$	Supported Membership and subset aliases	Rendered Matches the expected notation	Set relation coverage
Superset aliases	`sup supset supe supseteq`	$\supset \supset \supseteq \supseteq$	Supported Superset aliases	Rendered Matches the expected notation	Superset relation coverage
Relation aliases	`= != ne < lt > gt <= le >= ge`	$= \neq \neq < < > > \leq \leq \geq \geq$	Supported Equality and comparison aliases	Rendered Matches the expected notation	Comparison coverage
Advanced relations	`ll gg -< prec -<= preceq >- succ >-= succeq`	$≪ ≫ ≺ ≺ ⪯ ⪯ ≻ ≻ ⪰ ⪰$	Supported Ordering relation aliases	Rendered Matches the expected notation	Relation variant coverage
Equivalence aliases	`-= equiv ~= cong ~~ approx prop propto`	$\equiv \equiv ≅ ≅ \approx \approx \propto \propto$	Supported Equivalence and proportional aliases	Rendered Matches the expected notation	Approximation coverage
Arrow aliases	`-> to rarr larr harr rArr lArr hArr`	$\to \to \to \leftarrow \leftrightarrow \Rightarrow \Leftarrow \Leftrightarrow$	Supported Arrow aliases	Rendered Matches the expected notation	Arrow coverage
Advanced arrows	`>-> ->> >->> \|->`	$↣ ↠ ⤖ \mapsto$	Supported Tail, double-head, and mapsto arrows	Rendered Matches the expected notation	Special arrow coverage
Geometry aliases	`/_ angle /_\ triangle diamond square frown`	$∠ ∠ △ △ ⋄ □ ⌢$	Supported Geometry aliases	Rendered Matches the expected notation	Shape coverage
Left floors and ceilings	`\|__ lfloor \|~ lceiling`	$⌊ ⌊ ⌈ ⌈$	Supported Left floor and ceiling aliases	Rendered Matches the expected notation	Fence-like aliases
Right floors and ceilings	`__\| rfloor ~\| rceiling`	$⌋ ⌋ ⌉ ⌉$	Supported Right floor and ceiling aliases	Rendered Matches the expected notation	Fence-like aliases
Number sets	`CC NN QQ RR ZZ`	$ℂ ℕ ℚ ℝ ℤ$	Supported Number set aliases	Rendered Matches the expected notation	Blackboard-style set names
Dots and constants	`oo infty aleph :. therefore :' because vdots ddots`	$\infty \infty ℵ ∴ ∴ ∵ ∵ ⋮ ⋱$	Supported Constants, therefore, because, and dots	Rendered Matches the expected notation	Miscellaneous alias coverage
UnitsCommon unit strings that use the same parser as variable glyphs.
Length Unit preview	`mm`	$mm$	Supported Plain unit word	Rendered Matches the expected notation	Base unit display
Area Unit preview	`mm^2`	${mm}^{2}$	Supported Unit with power	Rendered Matches the expected notation	Area unit display
Volume Unit preview	`m^3`	$m^{3}$	Supported Unit with power	Rendered Matches the expected notation	Volume unit display
Stress Unit preview	`N/mm^2`	$\frac{N}{{mm}^{2}}$	Supported Fractional compound unit	Rendered Matches the expected notation	Stress unit display
Moment Unit preview	`kN*m`	$kN \cdot m$	Supported Unit product with operator token	Rendered Matches the expected notation	Moment unit display
Acceleration Unit preview	`m/s^2`	$\frac{m}{s^{2}}$	Supported Fractional powered unit	Rendered Matches the expected notation	Acceleration unit display
Percent unit Unit preview	`%`	$%$	Literal fallback Percent character renders literally	Rendered Matches the expected notation	Percent fallback
Degree abbreviation Unit preview	`degC`	$degC$	Literal fallback Plain text abbreviation; no degree-symbol alias	Rendered Matches the expected notation	Temperature unit fallback
Malformed sheet unit Unit preview	`N/`	$?$	Error fallback FormulaSheet optional unit cell renders a red question mark	Parse error MISSING_FRACTION_DENOMINATOR at 2	Malformed supplied units remain visible
Regression GuardsCases that previously lost token boundaries, scalar roles, or complete Unicode characters.
Slash alias after operand	`a // b`	$a / b$	Supported Division alias remains an operator after another token	Rendered Matches the expected notation	Longest punctuation alias matching
Angle alias after operand	`a /_ b`	$a ∠ b$	Supported Angle alias remains an operator after another token	Rendered Matches the expected notation	Fraction boundary handling
Triangle alias after operand	`a /_\ b`	$a △ b$	Supported Triangle alias remains one operator after another token	Rendered Matches the expected notation	Longest geometry alias matching
Conjunction alias after operand	`a ^^ b`	$a \land b$	Supported Conjunction alias remains an operator after another token	Rendered Matches the expected notation	Superscript boundary handling
Bottom alias after operand	`x _\|_ y`	$x ⊥ y$	Supported Bottom alias remains an operator after another token	Rendered Matches the expected notation	Subscript boundary handling
Word beginning ox	`oxygen`	$oxygen$	Supported One variable word	Rendered Matches the expected notation	Alias prefixes do not split words
Word beginning oo	`ooops`	$ooops$	Supported One variable word	Rendered Matches the expected notation	Alias prefixes do not split words
Word beginning xx	`xxValue`	$xxValue$	Supported One variable word	Rendered Matches the expected notation	Alias prefixes do not split words
Unsupported command with alias prefix	`\ox`	$\ox$	Literal fallback One literal command identifier	Rendered Matches the expected notation	Unsupported command text stays intact
Scalar roles	`123 + sum "x"`	$123 + \sum x$	Supported Number, operators, and quoted text keep separate MathML roles	Rendered Matches the expected notation	MathML token semantics
Supplementary Unicode scalar	`𝛼`	$𝛼$	Supported One complete mathematical alpha character	Rendered Matches the expected notation	Unicode scalar preservation
Intentional Literal FallbackUnsupported commands and legacy grouping forms render as text instead of becoming formula structure.
Command word	`sqrt x`	$sqrt x$	Literal fallback Command-looking word renders as text	Rendered Matches the expected notation	No unary command behavior
Backslash command	`\sqrt x`	$\sqrt x$	Literal fallback Backslash command renders as text	Rendered Matches the expected notation	Unsupported backslash commands
Binary command text	`frac a b`	$frac a b$	Literal fallback Command-looking word renders as text	Rendered Matches the expected notation	No binary command behavior
Root command text	`root 3 x`	$root 3 x$	Literal fallback Command-looking word renders as text	Rendered Matches the expected notation	No root command behavior
Color command text	`color red x`	$color red x$	Literal fallback Command-looking words render as text	Rendered Matches the expected notation	No style command behavior
Font command text	`bb x`	$bb x$	Literal fallback Command-looking word renders as text	Rendered Matches the expected notation	No font command behavior
Old angle group	`(:a+b:)`	$(: a + b :)$	Literal fallback Colon markers render literally inside visible parentheses	Rendered Matches the expected notation	Legacy marker fallback
Old brace marker group	`{:a+b:}`	$: a + b :$	Literal fallback Brace group is structural; colon markers render literally	Rendered Matches the expected notation	Legacy grouping fallback
Comma sequence	`a,b:c`	$a, b : c$	Literal fallback Punctuation tokens render literally	Rendered Matches the expected notation	Punctuation display
Invalid InputsInputs that should show the renderer error fallback.
Empty expression	`<empty>`	$?$	Error fallback Empty input renders as red question mark	Parse error EMPTY_EXPRESSION at 0	Missing variable name
Unclosed quote	`"gross area`	$?$	Error fallback Parser error rendered as red question mark	Parse error UNCLOSED_QUOTE at 0	Missing closing quote
Only open brace	`{`	$?$	Error fallback Parser error rendered as red question mark	Parse error EMPTY_GROUP at 1	Missing group content and closing brace
Only fraction numerator	`a/`	$?$	Error fallback Parser error rendered as red question mark	Parse error MISSING_FRACTION_DENOMINATOR at 2	Missing denominator
Brace without expression	`{}/a`	$?$	Error fallback Parser error rendered as red question mark	Parse error EMPTY_GROUP at 1	Empty group before fraction