Glossary
- Page ID
- 483333
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)This glossary defines the key terms used throughout the textbook so you can look up unfamiliar jargon quickly. For additional context on these terms, see Common terms and names.
| Term | Definition |
|---|---|
| ADAPT | LibreTexts assessment platform where WeBWorK problems are assigned to students. See Workflow and QA for how problems move from authoring to ADAPT. |
| Answer blank | An input field where students type or select an answer. Created in PGML with [___] syntax. See Answer blanks and answers. |
| Answer evaluator | The grading function that checks student input against the correct answer. In PGML, the evaluator is attached directly to the answer blank. See Legacy PG and deprecated patterns for old-style evaluators. |
| ArbitraryString | A MathObject that accepts free-text student input without mathematical parsing. See Macro Demonstrations for a worked example. |
| BEGIN_PGML / END_PGML | Delimiters that mark the student-facing text block in a PG problem. Everything between them is rendered as PGML. See Introduction to PGML. |
| CheckboxList | A widget that presents multiple options where students can select more than one correct answer. Provided by parserCheckboxList.pl. See Multiple Answer. |
| Context | Rules that control what student input is allowed and how it is parsed. For example, Context("Numeric") accepts numbers and formulas. See Introduction to PG Language. |
| DBsubject / DBchapter | OPL header fields that classify a problem by subject area and topic. Used for searchability in the Open Problem Library. See OPL Header and Metadata. |
| DOCUMENT() / ENDDOCUMENT() | Required opening and closing function calls in every PG problem file. DOCUMENT() initializes the rendering engine; ENDDOCUMENT() signals the end. See PG Problem Files. |
| DraggableProof | A widget that lets students drag and reorder items into a correct sequence. Provided by draggableProof.pl. See Ordered List. |
| Dry-run | Running a tool or script to preview changes without writing them to files. All tools in this textbook default to dry-run mode and require --apply to write changes. |
| HEADER_TEXT | A PG function that injects CSS or JavaScript into the page header. Used for custom styling since standard HTML tags are blocked in PGML. See Text Coloring and Emphasis. |
| loadMacros | The function call in the preamble that loads macro files. Each macro unlocks specific features. See Common PG Macros. |
| Macro | A reusable code library (.pl file) loaded by a problem to enable features such as widgets, grading helpers, or layout tools. See Common PG Macros. |
| MathObjects | Typed answer objects (numbers, formulas, lists, strings) used for grading. They determine how student input is parsed and compared to the correct answer. See Introduction to PG Language. |
| niceTables | A macro (niceTables.pl) for building formatted tables inside PGML without blocked HTML tags. See Making Tables with niceTables. |
| OPL | Open Problem Library. A shared repository of WeBWorK problems with standardized metadata headers for search and discovery. |
| OPL header | Metadata comment block at the top of a PG file used for searchability and attribution. Includes fields like TITLE, DESCRIPTION, DBsubject, and AUTHOR. See OPL Header and Metadata. |
| PG | The Perl-based language that defines a WeBWorK problem file. PG provides the execution sandbox, variable scoping, and grading infrastructure. See Problem Generation. |
| PGcourse.pl | A macro loaded at the end of every loadMacros call. It allows course-level customization without editing individual problem files. See Common PG Macros. |
| PGML | PG Markup Language. A markup layer inside PG for writing student-facing text, math, and answer blanks. See PGML (PG Markup Language). |
| PGstandard.pl | The core macro that loads essential PG functions. Required in every problem. See Common PG Macros. |
| PopUp | A dropdown menu widget for matching and selection problems. Provided by parserPopUp.pl. See Matching. |
| Preamble | The section of a PG file from DOCUMENT() through loadMacros(). It declares which macro libraries the problem needs. See Preamble. |
| RadioButtons | A widget that presents a single-choice question with radio button options. Provided by parserRadioButtons.pl. See Multiple Choice. |
| Renderer | The local webwork-pg-renderer service that compiles and previews PG problems outside of ADAPT. See Setting Up the PG Renderer. |
| Sandbox | The restricted execution environment in which PG code runs. It blocks most Perl builtins (open, system, die) for security. See Common Mistakes and How to Fix Them. |
| Seed | A number that reproduces one randomized variant of a problem. Each student receives a different seed, producing different random values but the same problem structure. See Testing Randomization and Edge Cases. |
| Setup | The Perl code section between the preamble and the PGML block. It defines variables, answer objects, and randomization logic. See Setup. |
| Skill | A curated set of reference documents that an AI coding agent reads before writing code. Called "forums" in OpenAI Codex. See Knowledge Documents for AI Agents. |
| Solution | An optional BEGIN_PGML_SOLUTION / END_PGML_SOLUTION block that shows the correct answer and rationale after the due date. See Solutions. |
| Statement | The BEGIN_PGML / END_PGML block that contains the problem text, data, and answer blanks that students see. See Statement. |
| WeBWorK | An open-source online homework system that delivers randomized, auto-graded math and science problems. See What is WeBWorK. |


