physics/dv-to-frac-d

Level

AuthoringFaithfulCorpusEquivFaithful, Corpus, and Equiv apply this rule.

Fidelity

renderPreserves rendering under the reference renderer.

Package

physics

Source

physics/faithful/derivative_expand/dv_to_frac_d.rs (opens in new tab)

Triggers

\dv command

Eliminates

\dv command

Produces

\frac, \flatfrac, \mathrm commands

Rewrite patterns#

1. dv-two-argument\dv{#1}{#2}\frac{\mathrm{d} #1}{\mathrm{d} #2}
2. dv-operator\dv{#1}\frac{\mathrm{d}}{\mathrm{d} #1}
3. dv-order\dv[#1]{#2}{#3}\frac{\mathrm{d}^{#1} #2}{\mathrm{d} #3^{#1}}
4. dv-star\dv*{#1}{#2}\flatfrac{\mathrm{d} #1}{\mathrm{d} #2}

Examples#

Each example shows this rule applied in isolation. A complete normalization profile may make additional changes.

m\dv{x}{t}=p

m\frac{\mathrm{d} x}{\mathrm{d} t}=p

\dv{x} f

\frac{\mathrm{d}}{\mathrm{d} x} f

\dv[2]{x}{t}

\frac{\mathrm{d}^{2} x}{\mathrm{d} t^{2}}

\dv*{x}{t}

\flatfrac{\mathrm{d} x}{\mathrm{d} t}

Related rules#

Upstream rules#

• physics/derivative-to-dv Collapse derivative to the compact dv command.

Same family#

• physics/derivative-to-dv Collapse derivative to the compact dv command.
• physics/functional-derivative-to-fdv Collapse long functional derivative names to the fdv command.
• physics/partial-derivative-to-pdv Collapse long partial derivative names to the pdv command.
• physics/vectorarrow-to-va Collapse vectorarrow to the short va helper.
• physics/vectorbold-to-vb Collapse vectorbold to the short vb helper.
• physics/vectorunit-to-vu Collapse vectorunit to the short vu helper.
• physics/fdv-to-frac-delta Expand fdv forms to explicit delta-based derivative fractions.
• physics/pdv-to-frac-partial Expand pdv forms to explicit partial-derivative fractions.
• physics/va-to-vec-mathbf Canonicalize va to an explicit vec-wrapped mathbf form.
• physics/vb-to-mathbf Canonicalize vb to an explicit mathbf wrapper.
• physics/vu-to-hat-mathbf Canonicalize vu to an explicit hat-wrapped mathbf form.

Notes#

Covers the two-argument derivative, one-argument operator form, optional [n] order, and star branch. The star branch follows MathJax physics by expanding to \flatfrac rather than \frac.

Disable this rule#

TransformEngine(profile="corpus", disable_rules=["physics/dv-to-frac-d"])

new TransformEngine({ profile: 'corpus', disableRules: ['physics/dv-to-frac-d'] })

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