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<!doctype html><html lang=en class=no-js> <head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=description content="Substrait is a new specification and set of tools that allow different systems to express clear data manipulation operations."><link rel=icon href=/assets/images/favicon.png><meta name=generator content="mkdocs-1.6.1, mkdocs-material-9.5.48"><title>Substrait: Cross-Language Serialization for Relational Algebra</title><link rel=stylesheet href=/assets/stylesheets/main.6f8fc17f.min.css><link rel=stylesheet href=/assets/stylesheets/palette.06af60db.min.css><link rel=preconnect href=https://fonts.gstatic.com crossorigin><link rel=stylesheet href="https://fonts.googleapis.com/css?family=Roboto:300,300i,400,400i,700,700i%7CRoboto+Mono:400,400i,700,700i&display=fallback"><style>:root{--md-text-font:"Roboto";--md-code-font:"Roboto Mono"}</style><link rel=stylesheet href=/stylesheets/extra.css><script>__md_scope=new 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class=md-nav__link> <span class=md-ellipsis> Type Syntax Parsing </span> </a> </li> <li class=md-nav__item> <a href=/types/named_structs/ class=md-nav__link> <span class=md-ellipsis> Named Structs </span> </a> </li> </ul> </nav> </li> <li class="md-nav__item md-nav__item--nested"> <input class="md-nav__toggle md-toggle md-toggle--indeterminate" type=checkbox id=__nav_4> <label class=md-nav__link for=__nav_4 id=__nav_4_label tabindex=0> <span class=md-ellipsis> Expressions </span> <span class="md-nav__icon md-icon"></span> </label> <nav class=md-nav data-md-level=1 aria-labelledby=__nav_4_label aria-expanded=false> <label class=md-nav__title for=__nav_4> <span class="md-nav__icon md-icon"></span> Expressions </label> <ul class=md-nav__list data-md-scrollfix> <li class=md-nav__item> <a href=/expressions/field_references/ class=md-nav__link> <span class=md-ellipsis> Field References </span> </a> </li> <li class=md-nav__item> <a href=/expressions/scalar_functions/ class=md-nav__link> <span class=md-ellipsis> Scalar Functions </span> </a> </li> <li class=md-nav__item> <a href=/expressions/aggregate_functions/ class=md-nav__link> <span class=md-ellipsis> Aggregate Functions </span> </a> </li> <li class=md-nav__item> <a href=/expressions/specialized_record_expressions/ class=md-nav__link> <span class=md-ellipsis> Specialized Record Expressions </span> </a> </li> <li class=md-nav__item> <a href=/expressions/window_functions/ class=md-nav__link> <span class=md-ellipsis> Window Functions </span> </a> </li> <li class=md-nav__item> <a href=/expressions/table_functions/ class=md-nav__link> <span class=md-ellipsis> Table Functions </span> </a> </li> <li class=md-nav__item> <a href=/expressions/user_defined_functions/ class=md-nav__link> <span class=md-ellipsis> User-Defined Functions </span> </a> </li> <li class=md-nav__item> <a href=/expressions/embedded_functions/ class=md-nav__link> <span class=md-ellipsis> Embedded Functions </span> </a> </li> <li class=md-nav__item> <a 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class=md-nav__link> <span class=md-ellipsis> Common Fields </span> </a> </li> <li class=md-nav__item> <a href=/relations/logical_relations/ class=md-nav__link> <span class=md-ellipsis> Logical Relations </span> </a> </li> <li class=md-nav__item> <a href=/relations/physical_relations/ class=md-nav__link> <span class=md-ellipsis> Physical Relations </span> </a> </li> <li class=md-nav__item> <a href=/relations/user_defined_relations/ class=md-nav__link> <span class=md-ellipsis> User Defined Relations </span> </a> </li> <li class=md-nav__item> <a href=/relations/embedded_relations/ class=md-nav__link> <span class=md-ellipsis> Embedded Relations </span> </a> </li> </ul> </nav> </li> <li class="md-nav__item md-nav__item--nested"> <input class="md-nav__toggle md-toggle md-toggle--indeterminate" type=checkbox id=__nav_6> <label class=md-nav__link for=__nav_6 id=__nav_6_label tabindex=0> <span class=md-ellipsis> Serialization </span> <span class="md-nav__icon md-icon"></span> </label> <nav 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