ams/dbinom-and-tbinom-to-binom

Level

AuthoringFaithfulCorpusEquivOnly Equiv applies this rule; its output is intended for comparison.

Fidelity

readingPreserves notation, reading order, and structural roles.

Package

ams

Source

ams/equiv/fraction_style/dbinom_and_tbinom_to_binom.rs (opens in new tab)

Triggers

\dbinom, \tbinom commands

Eliminates

\dbinom, \tbinom commands

Produces

\binom command

Rewrite patterns#

1. display-style\dbinom{#1}{#2}\binom{#1}{#2}
2. text-style\tbinom{#1}{#2}\binom{#1}{#2}

Examples#

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

x+\dbinom{n}{k}

x+\binom{n}{k}

x_{\dbinom{n}{k}}

x_{\binom{n}{k}}

x+\tbinom{n}{k}

x+\binom{n}{k}

\displaystyle\tbinom{n}{k}

\displaystyle\binom{n}{k}

x_{\tbinom{n}{k}}

x_{\binom{n}{k}}

Related rules#

Same family#

• ams/cfrac-to-frac Drop continued-fraction styling from centered AMS cfrac forms.
• ams/dfrac-to-frac Rewrite the AMS display-style fraction command to frac.
• ams/tfrac-to-frac Rewrite the AMS text-style fraction command to frac.
• base/above-to-genfrac Rewrite above to a thickness-preserving genfrac form.
• base/abovewithdelims-to-genfrac Rewrite abovewithdelims to an explicit genfrac with delimiters and thickness.
• base/atop-to-genfrac Rewrite infix atop to an explicit no-rule genfrac form.
• base/atopwithdelims-to-genfrac Rewrite atopwithdelims to an explicit delimited no-rule genfrac form.
• base/brace-to-genfrac Rewrite infix brace to an explicit genfrac with brace delimiters.
• base/brack-to-genfrac Rewrite infix brack to an explicit genfrac with bracket delimiters.
• base/choose-to-binom Rewrite infix choose to an explicit binom command.
• base/over-to-frac Rewrite infix over to an explicit frac command.
• base/overwithdelims-to-genfrac Rewrite overwithdelims to an explicit genfrac with delimiters.
• base/root-of-to-sqrt Rewrite legacy root-of syntax to bracketed sqrt notation.
• base/leftroot-drop Drop the leftroot index-position hint in cleanup-oriented normalization.
• base/uproot-drop Drop the uproot index-position hint in cleanup-oriented normalization.

Notes#

AMS defines dbinom and tbinom with forced display and text styles while binom inherits context. The binomial family has a different canonical target from fractions and therefore uses a separate rule; the style loss is intentional Reading normalization.

Disable this rule#

TransformEngine(profile="corpus", disable_rules=["ams/dbinom-and-tbinom-to-binom"])

new TransformEngine({ profile: 'corpus', disableRules: ['ams/dbinom-and-tbinom-to-binom'] })

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